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The math scores of 5 students in Ms. Thompson's class are 85, 90, 78, 92, and 88. What is the average score of these students?
Let's solve this step by step:
1. Add the scores of all the students:
85 + 90 = <<85+90=175>>175
175 + 78 = <<175+78=253>>253
253 + 92 = <<253+92=345>>345
345 + 88 = <<345+88=4... |
Anaís is planning a large Mexican Independence Day celebration and wants to serve tacos al pastor and chiles rellenos to her guests. For tacos al pastor, she needs 3 kilograms of pork shoulder for every 20 guests, and for chiles rellenos, she requires 2 kilograms of poblano peppers for every 15 guests. If she expects 1... |
Tom's family is planning a road trip from Toronto to Vancouver. They have a collection of 15 music CDs, including 3 CDs by their favorite Canadian artist, Celine Dion. If they randomly select a CD to play during the trip, what is the probability that they will choose a Celine Dion CD?
1. Total number of CDs = 15
2. Nu... |
Afolabi has been saving money for a new laptop that costs $800. She plans to save a fixed amount each month for a year. If she saves $30 or less per month, her savings will earn a 4% annual interest rate, compounded monthly. However, if she saves $50 or more per month, her savings will earn a 5% annual interest rate, c... |
A European football team, Ajax, played 30 games in the 2022 season and earned 65 points. In the 2023 season, they played 32 games due to a league expansion and earned 80 points. What is the percentage increase in points per game earned by Ajax from the 2022 season to the 2023 season?
Let's solve this step by step:
1. ... |
A French chef wants to create a custom spice blend for his signature bouillabaisse recipe. The blend should contain 30% thyme, 25% rosemary, and 45% basil by weight. If the chef has 250 grams of thyme, 300 grams of rosemary, and an unlimited supply of basil, how many grams of the custom spice blend can he make while ma... |
Maria wants to make homemade pizza for her family dinner. The recipe calls for 250 grams of flour to make a pizza that serves 4 people. If Maria needs to feed 12 people, how many kilograms of flour will she need in total?
To solve for x, we can cross-multiply:
4x = 12 * 250
4x = <<12 * 250 = 3000>>3000
x = 3000 / 4
x ... |
A recipe for making a traditional African dish, Kenkey, calls for 2x cups of corn flour and x cups of water to make a batch for 8 people. If you want to make a batch for 12 people, and you have 6 cups of corn flour, how many cups of water should you use?
Let's solve this step by step:
1. Determine the ratio of corn fl... |
Tom traveled from Paris to Berlin by train and then from Berlin to Prague by bus. The ratio of the distance he traveled by train to the distance he traveled by bus is 5:3. If the distance from Berlin to Prague is 210 kilometers, what is the distance from Paris to Berlin?
1. Set up the proportion based on the given rat... |
Aminata's family is preparing for Eid al-Fitr celebrations. They want to make a traditional dish called "thieboudienne" for their guests. The recipe requires a ratio of 2 cups of rice to 3 cups of vegetables. If they need to serve 15 people and each person will eat 1/2 cup of rice, how many cups of vegetables will they... |
Tomoko, a student from Tokyo, is planning a school trip to visit three cities in Southeast Asia: Bangkok, Kuala Lumpur, and Singapore. The total budget for the trip is ¥250,000. The cost of a round-trip ticket from Tokyo to Bangkok is ¥50,000, from Bangkok to Kuala Lumpur is ¥20,000, and from Kuala Lumpur to Singapore ... |
Ana and her friends are planning to sell traditional Day of the Dead treats at their school fair. They have decided to make pan de muerto and sugar skulls. Each pan de muerto requires 2 cups of flour and 1 cup of sugar, and they sell for $5 each. Each sugar skull requires 1 cup of sugar and sells for $3. They have 20 c... |
Mikayla, a grade 7 student from Toronto, Canada, is building a birdhouse as a woodworking project. The birdhouse's design requires the front piece to be 3/4 of the total length of the birdhouse and the roof to be 1/2 of the length of the front piece. If the birdhouse needs to be 48 cm long, and Mikayla wants to make su... |
A giraffe sanctuary in Africa has 15 enclosures, each with x giraffes. If the sanctuary has a total of 75 giraffes, how many giraffes are in each enclosure?
Let's solve for x:
x = 75 / 15
x = <<75 / 15 = 5>>5
Therefore, there are 5 giraffes in each enclosure.
#### 5 |
Tom is planning a large family dinner and needs to buy olive oil. He finds two options at the local market: a 500ml bottle for €8 and a 1L bottle for €15. Considering the larger bottle is also on a 10% discount, which option should Tom choose to get the best value for his money, and how much will he save per liter comp... |
Tom's family is hosting a dinner party for 6 people, and he wants to make his famous lasagna recipe, which serves 4 people. The recipe requires 2 cups of flour. How many cups of flour will Tom need to make the lasagna for 6 people?
Let's solve this step by step:
1. Set up the proportion to relate the number of people ... |
Mei is making traditional niangao (sticky rice cake) for Chinese New Year. The recipe makes 8 servings and calls for 3/4 cup of glutinous rice flour. If Mei wants to make 12 servings, what fraction of a cup of glutinous rice flour will she need?
To solve this problem, let's set up a proportion:
8/12 = 3/4 / x
We can c... |
Rohan and Kaito are two basketball players from Tokyo competing in a 3-game tournament. In the first game, Rohan scored 15 points and Kaito scored 20. In the second game, Rohan scored 18 points and Kaito scored 12. If Rohan scores 22 points in the third game and Kaito scores 16, what is the total number of points score... |
Mei, a high school student in Tokyo, collected data on the number of students who enjoy different traditional Japanese crafts. She found that 15 students enjoy origami, 20 students enjoy calligraphy, and 12 students enjoy pottery. How many more students enjoy calligraphy than pottery?
Let's solve this step by step:
1.... |
Akua is planning a Kwanzaa feast for her family and wants to make a traditional dish, jollof rice. She needs to buy ingredients and has a budget of $15. The cost of rice is $2 per cup, and she also needs to buy other ingredients that cost $5. How many cups of rice can Akua buy?
Let's solve this step by step:
1. First,... |
Anaís and her family are planning a trip to Cancun during the rainy season. The probability of rain on any given day is 0.4. However, if it rains on the first day of their trip, the probability of rain on the second day increases to 0.6. If it doesn't rain on the first day, the probability of rain on the second day rem... |
Thembi and her friends from Johannesburg, South Africa, love going on camping trips together. They decide to save money for future trips by investing R5,000 in an account that earns 5% annual compound interest. If they don't touch the money for 2 years, how much will they have in total?
Let's solve this step by step:
... |
Tomás is shopping for olive oil at a local market in Barcelona. He finds two brands, Casa Grande and El Puerto, that offer different package sizes. Casa Grande sells a 3/4 liter bottle for €12 and a 1 1/2 liter bottle for €30. El Puerto sells a 2/3 liter bottle for €10 and a 1 1/4 liter bottle for €25. If Tomás wants t... |
Tomiko wants to bake cookies for her class party. Her favorite recipe makes 12 cookies, but she needs to make 24 cookies for the party. If the recipe calls for 1 1/2 cups of all-purpose flour, how many cups of flour will Tomiko need to make 24 cookies?
To find the amount of flour Tomiko needs, first, we need to find t... |
A beaver colony in a Canadian park is observed to be growing at a rate where the number of beavers triples every 5 years. If there were initially 5 beavers in the colony, how many beavers will there be after 15 years?
Let's solve this step by step:
1. Calculate the number of times the beaver population triples in 15 y... |
Fatima sells colorful fabrics at her stall in the market. Her stall is shaped like a rectangle with a length of 4 meters and a width of 3 meters. If she wants to lay out square pieces of fabric that are 0.5 meters on each side, how many pieces can she fit in her stall?
1. Calculate the area of the stall:
The area o... |
During a Christmas sale in a Canadian store, a festive sweater is discounted by 25%. However, at the checkout, an 8% sales tax is added to the discounted price. If the original price of the sweater was $60, how much will you pay in total?
Let's solve this step by step:
1. Calculate the discounted price:
25% of $60... |
The penalty area of a soccer field is in the shape of a rectangle with a semicircle attached to one of the shorter sides. If the length of the shorter side of the rectangle is 16 meters and the radius of the semicircle is 8 meters, what is the total area of the penalty area?
To find the total area of the penalty area,... |
Tom, the quarterback, throws a football to his teammate. The height of the ball above the ground can be modeled by the quadratic function h(t) = -16t^2 + 80t + 2, where h(t) is the height in feet and t is time in seconds. What is the maximum height the ball reaches?
Let's solve this step by step:
1. Find the time at w... |
In a small town in Mexico, the local market sells traditional clothing. The average monthly sales for these items is 500 units. Due to the upcoming holiday season, sales are expected to increase by 15% each month for the next 3 months. However, because of an economic downturn, sales will then decrease by 8% each month ... |
Amara is making Jollof rice for her family gathering. Her favorite recipe serves 4 people and requires 2 cups of rice. If she wants to make the same dish for 8 people, how many cups of rice will she need?
Let's solve this step by step:
1. Set up the proportion: 2 cups / 4 people = x cups / 8 people
2. Cross-multiply: ... |
Maria's Bakery is preparing for a holiday sale. They plan to offer three types of pastries: A, B, and C. The profit per unit of A is $2, B is $3, and C is $4. Each unit of A requires 1 hour of labor, B requires 1.5 hours, and C requires 2 hours. The bakery has 240 hours of labor available. They also have limited oven c... |
Maya is participating in a school baking competition and has decided to make a special chocolate cake. The recipe she has chosen has a 75% chance of turning out perfectly if she uses Brand A cocoa powder and a 60% chance if she uses Brand B. However, due to a sale, she can only afford to buy one bag of cocoa powder. Th... |
In a forest in the United States, a population of rabbits is growing exponentially. The initial population size is 100 rabbits, and the growth rate is 20% per year. If the forest can sustain a maximum of 1000 rabbits, how many rabbits will there be after 5 years?
Let's solve this step by step:
1. First, we need to cal... |
A recipe for making Injera, a traditional Ethiopian flatbread, requires a mixture of teff flour and all-purpose flour in a ratio of 3:2 by weight. If a 20% discount is applied to the teff flour and a 10% discount is applied to the all-purpose flour, what is the percentage reduction in the total cost of the ingredients ... |
Tomoko is the president of the student council at Tokyo Middle School. She conducted a survey to determine the favorite sports among the students. The results are shown in the table below:
| Sport | Number of Students |
| --- | --- |
| Soccer | 120 |
| Basketball | 90 |
| Tennis | 60 |
| Volleyball | 30 |
If the total ... |
A new community park is being built in the city, and the landscape architect needs to calculate the area of the park to determine the amount of grass needed. The park is shaped like a trapezoid, with two parallel sides of 150 meters and 200 meters and a height of 100 meters. What is the area of the park in square meter... |
Tomoko is making traditional Japanese mochi for the annual Cherry Blossom Festival. She needs to package 480 mochi pieces into boxes that hold 12, 24, or 36 pieces each. The small boxes cost $2, the medium boxes cost $3, and the large boxes cost $5. If Tomoko wants to minimize her costs, how many of each box size shoul... |
A 4th of July fireworks display is being planned over a lake, with the goal of creating a symmetrical, arched pattern of explosions. The fireworks are launched from a boat in the middle of the lake, and the explosions should occur at a height of 100 meters above the water. The trajectory of the fireworks can be modeled... |
Tom's Turkey Farm is having a Thanksgiving sale. They're offering a 20% discount on all turkeys. If a turkey originally costs $50, how much will you pay for it during the sale?
1. First, calculate 80% of the original price:
80% of $50 = <<80/100 * 50 = 40>>$
2. Since this is the price after the discount, this is t... |
Tommy's family is planning a reunion at Yellowstone National Park. They want to make sure they have enough food and drinks for everyone. If each adult eats 2 burgers and each child eats 1 burger, and they have a budget of $500 for food, how many adults and children can they invite if burgers cost $5 each and they also ... |
Tomoko, a travel agent from Tokyo, is analyzing the growth of a new travel company. The company's customer base has been increasing by 15% every quarter. If the company currently has 500 customers, how many customers will it have after 2 years, assuming the growth rate remains constant?
To solve this problem, we can u... |
Chef François is preparing for a large banquet and needs to make a large quantity of sauce. He has two recipes, one that makes 5 liters of sauce and another that makes 3 liters of sauce. The first recipe requires 2 hours of preparation time and 3 hours of cooking time, while the second recipe requires 1 hour of prepara... |
The school's student council is organizing a charity event, and they plan to donate 25% of the ticket sales to a local food bank. However, they also need to pay 15% of the total ticket sales to the event organizers. If they sell 500 tickets for 20 euros each, how much money will the student council have left after dona... |
A health food store in Toronto sells organic oats in two different sizes: a 2 kg bag for $8.99 and a 5 kg bag for $19.99. Which size bag offers the better value in terms of price per kilogram?
Let's calculate the price per kilogram for each bag:
1. For the 2 kg bag: $8.99 ÷ 2 kg = $<<8.99/2=4.495>>4.50/kg
2. For the 5... |
Tomás Garcia wants to put a fence around his family's rectangular garden in their backyard in Mexico City. The garden measures 15 meters in length and 8 meters in width. However, there's a small section in the garden with a length of 3 meters and a width of 2 meters that has a small pond and doesn't need to be fenced. ... |
During a safari adventure in the Maasai Mara National Reserve, Kofi and his friends are observing a herd of elephants. They notice that the probability of spotting a male elephant with tusks is 0.4, and the probability of spotting a female elephant with a calf is 0.3. If the probability of spotting a male elephant with... |
While hiking in the Swiss Alps, Lukas wants to know the height of a nearby mountain peak. He measures the angle of elevation from his current position to the top of the peak to be 60 degrees. If Lukas is 1500 meters away from the base of the mountain and his eye level is 1.8 meters above the ground, what is the height ... |
Ms. Thompson's grade 6 class is growing a sunflower plant in their school garden in Toronto. The plant was initially 10 cm tall and has been growing at an exponential rate of 20% per week. If the growth rate remains constant, how tall will the plant be in 8 weeks?
Let's solve this step by step:
1. First, calculate the... |
Maya, the president of her school's student council, is planning a barbecue for the school's annual picnic. She has 10 pounds of ground beef, 24 buns, and 12 slices of cheese. Each burger requires 1/4 pound of ground beef, 1 bun, and 1/2 slice of cheese. How many burgers can Maya make for the barbecue, given the availa... |
The Tran family is preparing for the Lunar New Year celebration. They have three family members available to help with the preparations: Mr. Tran (father), Mrs. Tran (mother), and their daughter, Linh. The tasks that need to be completed are cooking traditional dishes (4 hours), cleaning the house (3 hours), decorating... |
Tomiko is planning a 3-day camping trip in the mountains of Japan with her friends. They want to rent bicycles to explore the trails. The rental shop charges ¥500 per day for a standard bike and ¥800 per day for a mountain bike. If Tomiko and her friends have a budget of ¥12,000 for bike rentals and want to have at lea... |
Tomás is making tacos al pastor for his family's Sunday dinner. The recipe requires a ratio of 3 parts meat to 2 parts vegetables. If he needs 2.5 kg of meat, how many kilograms of vegetables should he use?
To find the amount of vegetables needed, we can multiply the amount of meat (2.5 kg) by the ratio 2/3.
2.5 kg x ... |
A conservation effort in the Canadian Rockies has been working to increase the population of grizzly bears. If the initial population of grizzly bears was 500 and it has increased by 15% over the past 5 years, what is the current population of grizzly bears in the area?
To find the current population of grizzly bears,... |
Tomás, the taco truck owner, has 20 tacos with carnitas and 30 tacos with al pastor. If a group of 10 customers come to his truck, what is the probability that at least 5 of them will buy a taco with carnitas?
1. Calculate the probability of exactly k customers choosing carnitas out of 10, where k ranges from 5 to 10.... |
In a tennis tournament, Ryuichi Sugiyama wants to maximize the number of aces he hits while maintaining a first serve success rate of at least 75%. If he serves 150 times per match and his ace rate is 20% of successful first serves, how many aces can he hit while ensuring his first serve success rate does not fall belo... |
Lena, a cyclist from Amsterdam, plans to ride her bike from her hometown to a nearby city, Utrecht, and then back to Amsterdam. The distance between Amsterdam and Utrecht is 50 kilometers. On the way to Utrecht, she rides at an average speed of 20 kilometers per hour due to heavy traffic. On the way back, she rides at ... |
Tomoka, the vice principal of Tokyo High School, is organizing a school trip to Kyoto. She wants to ensure a student-teacher ratio of 10:1 on the trip. With 300 students and 30 teachers available, Tomoka aims to maximize the number of students on the trip. Each of the 6 buses hired for the trip can accommodate 50 stude... |
Mario, a chef from Italy, is preparing for a large catering event. He needs to make two types of pasta dishes: Pesto Fettuccine and Tomato Spaghetti. The recipes for each dish require different quantities of ingredients, and Mario wants to minimize the total cost of ingredients while meeting the demand for both dishes.... |
During a back-to-school sale in Toronto, two stores are offering deals on a popular brand of backpacks. Store A has the backpacks on sale for 15% off the regular price of $80, with an additional 5% off for students who present a valid student ID. Store B offers the same backpacks at a 20% discount from the regular pric... |
Tomoko is making Pad Thai for her family dinner. The recipe requires a ratio of 2:3:5 of rice noodles to shrimp to vegetables. If she needs 250 grams of vegetables, how many grams of rice noodles and shrimp should she use, and what will be the total cost if rice noodles cost $1.50 per 100 grams, shrimp costs $3.00 per ... |
Yuna is preparing a traditional Korean sweet bread, Hotteok, for the Lunar New Year celebration. The recipe involves two fermentation steps: the first step with a yeast starter that doubles every 2 hours, and the second step with the dough that triples every 3 hours. If she starts with 200g of yeast starter at 9 AM and... |
Alex Chen buys a new laptop on credit for $1000 with an 8% annual interest rate compounded annually. If Alex has 3 years to pay off the debt, what will be the total amount Alex has to pay after 3 years?
Let's solve this step by step:
1. First, calculate the amount after 1 year:
A = 1000(1 + 0.08)^1
= 1000 * 1.... |
Akua, a Ghanaian cyclist, is participating in a 240 km race across the savannas of Africa. The race is divided into three segments: 80 km of flat terrain, 100 km of hilly terrain, and 60 km of mountainous terrain. Akua maintains an average speed of 30 km/h on the flat terrain, 25 km/h on the hilly terrain, and 20 km/h ... |
Kofi is the groundskeeper for a soccer field in Accra, Ghana. The field is a rectangle with a length of 100 meters and a width of 60 meters. If a bag of fertilizer costs 50 Ghanaian cedis and covers an area of 500 square meters, how much will Kofi need to spend to fertilize the entire soccer field?
Let's solve this st... |
Akira is planning a road trip from Tokyo to Osaka, a distance of approximately 560 kilometers. The fuel cost for her car is given by the polynomial expression 0.02x^2 + 5x + 100, where x is the distance traveled in hundreds of kilometers. How much will Akira spend on fuel for the entire trip?
Let's solve this step by ... |
Zookeeper Jenny at the San Diego Zoo wants to build a new rectangular enclosure for the prairie dogs. The enclosure needs to be 15 meters long and 8 meters wide. If the fencing costs $5 per meter, how much will it cost Jenny to fence the entire enclosure?
Let's solve this step by step:
1. Calculate the perimeter of th... |
The school store, run by Mrs. Yaa, is having a sale on all items. She offers a 15% discount on all purchases made during the morning, and then an additional 20% discount on the already discounted price for students who attend the school's annual Heritage Day celebration. If a student buys a book originally priced at R5... |
Yui is planning a trip to visit temples in Kyoto, Japan. The cost of the trip is represented by the polynomial expression 2x^2 + 5x + 10, where x is the distance traveled in kilometers. If Yui plans to travel 15 kilometers, what is the total cost of the trip?
Let's solve this step by step:
1. Substitute x = 15 into th... |
Yara is buying school supplies from a local store in Lagos. She purchases a backpack for ₦10,000, which has a 15% discount. Additionally, the store offers a 5% discount on all purchases made during the back-to-school season. How much will Yara pay for the backpack after both discounts are applied?
Let's calculate the ... |
Tomás's family owns a small bakery in Mexico City, famous for its pan de muerto during the Día de los Muertos celebrations. Each year, they increase their production of pan de muerto by 15% to meet the growing demand. If they produced 500 pieces last year, how many pieces will they need to produce this year to meet the... |
As part of a school trip, two groups of students are driving from New York to Los Angeles in two different vans - Van A and Van B. Van A has a fuel efficiency of 25 miles per gallon, while Van B has a fuel efficiency of 30 miles per gallon. The total distance of the trip is 2,796 miles, and the groups want to make the ... |
Tomás is buying colorful scarves at the Mercado de San Juan in Mexico City. The price of each scarf can be represented by the expression 2x + 5, where x is the number of threads used to weave the scarf. If Tomás buys 3 scarves with 4 threads each, how much will he pay in total?
Let's solve this step by step:
1. Calcul... |
Kofi, a wildlife conservationist in the Maasai Mara National Reserve, is studying the migration patterns of wildebeests. He has identified three main habitats (A, B, and C) and their corresponding probabilities of being chosen by the wildebeests during the great migration. The probabilities are as follows: P(A) = 0.4, ... |
Tom's family is planning a vacation from Paris to Rome. They can take either a direct flight for €200 per person or a train for €100 per person, which takes 6 hours longer. If there are 4 family members and their total budget for transportation is €800, which mode of transportation should they choose to minimize their ... |
The school's debate team is organizing a bake sale to raise funds for their upcoming tournament. They have three types of baked goods: cookies ($1 each, 50% profit margin), brownies ($2 each, 75% profit margin), and cupcakes ($3 each, 60% profit margin). They expect to have 50 customers and want to maximize their profi... |
The St. Albert Saints, a grade 6-7 hockey team from Alberta, Canada, participated in a regional tournament. They played 5 games, and their scores were: 3-2 win, 4-1 loss, 2-2 tie, 5-3 win, and 1-0 loss. If they scored a total of 14 goals and allowed 10 goals, what is the average number of goals scored per game by the S... |
Maya wants to make a batch of butter tarts for her family gathering. The recipe calls for 3/4 cup of maple syrup to make 12 tarts. If Maya wants to make 24 tarts, how much maple syrup will she need?
Let's solve this step by step:
1. Multiply the amount of maple syrup needed for 12 tarts by 2:
3/4 * 2 = <<3/4*2=6/4>... |
Carlos 'El Fuego' Hernández, a star soccer player, recently joined the Guadalajara Chivas. As a result, ticket sales for the next match have increased from 12,000 to 15,000. What is the percentage increase in ticket sales since Carlos joined the team?
Let's solve this step by step:
1. Calculate the difference in ticke... |
Ana is preparing her famous tamales for the upcoming Mexican Independence Day festival. Her recipe makes 24 tamales, but she needs to make 60 for the event. If her original recipe calls for 2 cups of masa harina and 1 cup of chicken broth for the dough, how many cups of each will she need to make 60 tamales, maintainin... |
Tom is planning a Thanksgiving dinner for his family. His favorite pumpkin pie recipe serves 8 people and requires 3/4 cup of pumpkin puree. If he needs to serve 12 people, how much pumpkin puree will he need?
Let's solve this step by step:
1. First, calculate the number of pies needed to serve 12 people:
12 peopl... |
Lupita wants to save money for her family's Día de los Muertos celebration next year. She opens a savings account that earns a 5% annual interest rate, compounded quarterly. If she deposits $500 initially and adds $50 each month, how much will she have in the account after 1 year, and will she meet her goal of having $... |
Mia is planning a road trip from San Francisco to New York City. She has a map that highlights three possible routes across the country, each with different distances and estimated drive times due to varying speed limits and road conditions. Route A is 2,796 miles and has an estimated drive time of 40 hours due to heav... |
In the heart of the African savannah, a conservation group invests $5,000 in a wildlife preservation project. The money is deposited into a savings account that earns a 5% annual interest rate, compounded annually. If the interest is not withdrawn and the principal amount remains the same, how much will the conservatio... |
At the bustling Balogun Market in Lagos, Nigeria, a store owner is running a promotion where customers can draw a prize from a bag. The bag contains 15 prizes: 5 gift cards, 5 discounts, and 5 free items. What is the probability that the first customer, a young boy named Kofi, will draw a gift card?
Let's solve this s... |
Tomiko is planning a trip to Japan for the Cherry Blossom Festival. She starts saving money 2 years in advance and deposits $500 into a savings account with a 4% annual interest rate compounded monthly. If she adds $50 to the account every month, how much money will Tomiko have available for her trip, assuming the inte... |
The school's Math Club is hosting a coin toss competition. Members take turns tossing a fair coin 5 times, and the person with the most heads wins. If Maria, the club president, wants to know the probability of getting exactly 3 heads in her 5 tosses, what is that probability?
To find the probability, we use the binom... |
Tomás is helping his family prepare for the annual Día de los Muertos celebration in their small town in Mexico. They are making traditional pan de muerto, which requires a special mixture of flour, sugar, and anise seeds. The recipe calls for 3/4 cup of anise seeds per 2 1/3 cups of flour. If Tomás has 5 cups of flour... |
A Diketo player throws 5 stones into the air. What is the probability that exactly 3 stones land face up?
Let's solve this step by step:
1. Calculate the number of combinations: 5 choose 3 = <<5!/(3!*(5-3)!) = 10>>
2. Calculate the probability of exactly 3 stones landing face up:
P(X = 3) = (10) \* (0.5^3) \* (0.... |
The local soccer team, Manchester United, is participating in a tournament with 8 teams. The probability of Manchester United winning each game is 0.7, but if they win the first game, their probability of winning the next game increases to 0.8. If they lose a game, their probability of winning the next game decreases t... |
The Smith family has been saving 10% of their income each month. Last month, their income was $5000. However, this month, Mr. Smith got a 20% raise, increasing the family's income. How much should the Smith family save this month if they want to maintain their 10% savings rate?
Let's solve this step by step:
1. Calcul... |
Ana wants to plant a garden with chili peppers in her backyard in Mexico City. She needs to mix soil and compost in a ratio of 3 parts soil to 1 part compost. If she has 12 bags of soil, how many bags of compost should she add to the mixture?
To find the number of bags of compost, we need to divide 12 by 3.
x = 12 / 3... |
Sophia, a high school student from Berlin, is planning a trip to Paris and has opened a savings account with an initial deposit of €1,000. The account earns a 5% annual interest rate, compounded quarterly. If Sophia makes no withdrawals or additional deposits, how much will she have in her savings account after 2 years... |
Tom's store in Toronto is having a Canada Day sale. They are offering a 15% discount on all Canadian-made products. If a customer buys a Canadian-made sweater originally priced at $80, how much will they pay after the discount?
1. Calculate the discount amount:
15% of $80 = <<15 * 80 / 100 = 12>>$
2. Calculate the... |
A conservation organization is tracking the population of bald eagles in a national park. If the current population is 25 eagles and it grows at a rate of 3 eagles per year, how many years will it take for the population to reach 40 eagles?
Let's solve this step by step:
1. Calculate the difference between the target ... |
A recipe for Jollof rice serves 8 people and requires 2 cups of uncooked rice. If you need to make the recipe for 12 people, what percentage increase in rice is needed?
Let's solve this step by step:
1. First, calculate the amount of rice needed for 12 people using proportions:
8 people / 2 cups = 12 people / x cu... |
The Tigres UANL soccer team, based in Monterrey, Mexico, has a probability of 0.7 of winning a game against their arch-rivals, the Rayados. However, if their star player, Carlos, is injured, their probability of winning decreases to 0.4. If Carlos has a 30% chance of being injured for the game, what is the overall prob... |
Yara is helping her community build a traditional African hut. The design involves a circular base with a diameter of 12 meters. If they want to construct a cone-shaped roof that is 8 meters high, what is the slant height of the roof that Yara needs to calculate for the thatching pattern?
To find the slant height of t... |
Ana and her friends are planning a Día de Muertos celebration in their town. They want to create a traditional ofrenda (altar) with a specific ratio of flowers, candles, and photographs. The ratio of flowers to candles should be 3:2, and the ratio of candles to photographs should be 5:3. If they have 120 flowers, how m... |
Tom's favorite juice is on sale at the local grocery store. A 4-ounce bottle of Brand A juice costs $2.50, while a 6-ounce bottle of Brand B juice costs $3.75. Which brand of juice is more expensive per ounce?
Let's solve this step by step:
1. Calculate the cost per ounce for Brand A:
$2.50 ÷ 4 ounces = $<<2.5 / 4... |
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