url stringlengths 6 1.85k | text stringlengths 2.02k 173k | token_count int32 2.73k 36k | score float64 4 5.13 | language_score float64 0.05 1 |
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https://www.gradesaver.com/textbooks/math/algebra/algebra-1-common-core-15th-edition/chapter-2-solving-equations-2-9-percents-practice-and-problem-solving-exercises-page-141/23 | ## Algebra 1: Common Core (15th Edition)
$400$
Using percents, we find: $0.20x=80$ $\frac{0.20x}{0.20}=\frac{80}{0.20}$ $x=400$ | 57 | 4.09375 | 0.660644 |
https://braingenie.ck12.org/skills/102112/learn | ### Sample Problem
is 75% of 16/3. (Write as a fraction in simplest form).
#### Solution
16/3 × 75% = 16/3 × 75/100 = 16/3 × 3/4 = 4 | 57 | 4 | 0.88547 |
http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-12th-edition/chapter-7-section-7-7-complex-numbers-7-7-exercises-page-491/35 | ## Intermediate Algebra (12th Edition)
We are given the expression $(5-i)+(-5+i)$. We can group like terms and then simplify. $(5-i)+(-5+i)=(5-5)+(-1+1)i=0+0i=0$ | 57 | 4.09375 | 0.690035 |
https://socratic.org/questions/how-do-you-simplify-4-square-root-of-12 | # How do you simplify 4 square root of 12?
It is $4 \sqrt{12} = 4 \sqrt{3 \cdot 4} = 4 \cdot 2 \cdot \sqrt{3} = 8 \sqrt{3}$ | 57 | 4.09375 | 0.473205 |
https://socratic.org/questions/how-do-you-simplify-sqrt75-sqrt3-2 | # How do you simplify sqrt75/sqrt3?
Mar 20, 2016
5
#### Explanation:
$\frac{\sqrt{75}}{\sqrt{3}} = \sqrt{\frac{75}{3}} = \sqrt{25} = 5$ | 57 | 4.15625 | 0.559251 |
https://asvabtestpro.com/quiz/the-square-root-of-36-is-62722627db5cd741a80b4cdc/ | # The square root of 36 is:
6
Explanation
The square root of x is the number that, when multiplied by itself, equals x. In this case, $$6 \times 6 = 36$$so 6 is the square root of 36. | 57 | 4 | 0.891668 |
https://www.pw.live/question-answer/find-the-whole-quantity-if-55469 | # . Find the whole quantity if
5% of x is 600
Explanation
Let the whole quantity be x.
So we have,
5% of x=600
5/100× x=600
x=600×100/5
x=12000 | 57 | 4 | 0.556357 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-1-section-1-6-introduction-to-fractions-exercise-page-31/17 | ## Elementary Technical Mathematics
$\frac{7}{8}$
We simplify: $\displaystyle \frac{14}{16}=\frac{2\cdot 7}{2\cdot 2\cdot 2\cdot 2}=\frac{7}{8}$ | 57 | 4 | 0.336314 |
https://www.varsitytutors.com/hotmath/hotmath_help/topics/solving-one-step-addition-equations.html | Solve for $n$ .
$n+8=10$
The inverse operation of addition is subtraction. So, subtract $8$ from both sides.
$\begin{array}{l}n+8-8=10-8\\ n=2\end{array}$ | 57 | 4 | 0.813135 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-2-section-2-3-multiplication-and-division-of-signed-numbers-exercises-page-114/60 | ## Elementary Technical Mathematics
Divide the absolute values. Since the dividend and divisor have opposite signs the quotient is negative. $\frac{+72}{-9}=-\frac{|+72|}{|-9|}=-\frac{72}{9}=-8$ | 57 | 4.0625 | 0.662387 |
https://socratic.org/questions/55fff9bd11ef6b5500e574cd | # How do you express 11 * 11 in exponential form?
Oct 18, 2015
$11 \cdot 11 = {11}^{2}$
#### Explanation:
$11 \cdot 11$ is $11$ raised to the second power. | 57 | 4.09375 | 0.845852 |
http://www.gradesaver.com/textbooks/math/algebra/introductory-algebra-for-college-students-7th-edition/chapter-1-section-1-8-exponents-and-order-of-operations-exercise-set-page-99/19 | ## Introductory Algebra for College Students (7th Edition)
9x$^4$
Simplify the expression by combining like terms. 8x$^4$+x$^4$=(8+1)x$^4$=9x$^4$ | 57 | 4.03125 | 0.774674 |
https://socratic.org/questions/the-cost-for-a-pair-of-shoes-is-12-the-shoes-are-marked-up-40-how-much-do-they-c | #### Explanation:
The cost of the pair of shoes = $12 Marked up 40% Meaning = 100% + 40% because it was marked up to 40%. x = 140% so, 140% of$12 is \$16.80. | 57 | 4 | 0.966232 |
https://socratic.org/questions/six-less-than-x-equals-twenty-two-what-is-x | # Six less than x equals twenty-two? What is x?
Jul 15, 2018
$x = 28$
"six less than x" means $x - 6$
then $x - 6 = 22$ so $x = 28$ | 57 | 4.03125 | 0.882657 |
https://socratic.org/questions/what-is-the-simplified-form-of-2y-3x | # What is the simplified form of (2y)*(3x) ?
## How do you simplify (2y)*(3x) ?
$6 x y$
$2 y \cdot 3 x = 6 \cdot x \cdot y = 6 x y$ | 57 | 4.125 | 0.493219 |
https://socratic.org/questions/how-do-you-write-275-into-fractions#337972 | # How do you write 275% into fractions?
$\frac{11}{4}$
275%=(275/100)
Simplify the fraction by dividing the numerator and the denominator by the greatest common factor $25$
The final answer is $\frac{11}{4}$ | 57 | 4.0625 | 0.82625 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-a-combined-approach-4th-edition/chapter-r-section-r-3-decimals-and-percents-exercise-set-page-r-25/27 | ## Algebra: A Combined Approach (4th Edition)
$6,75 \times 10 =67,5$
Multiplying by ten is only dislocation the comma by one to the right, so $6,75 \times 10 = 67,5$ | 56 | 4.0625 | 0.884775 |
https://www.gradesaver.com/textbooks/math/algebra/elementary-algebra/chapter-5-exponents-and-polynomials-chapter-5-review-problem-set-page-230/13 | ## Elementary Algebra
$35x^6$
RECALL: $a^m \cdot a^n = a^{m+n}$ Use the rule above to obtain: $=(5 \cdot 7)(x^{2+4}) \\=35x^6$ | 56 | 4 | 0.443138 |
https://socratic.org/questions/how-do-you-solve-7-4-r-5 | # How do you solve 7/4=r/5?
$r = \frac{35}{4}$
$\frac{7}{4} = \frac{r}{5}$
$4 r = 35$
$r = \frac{35}{4}$ | 56 | 4.03125 | 0.486607 |
https://socratic.org/questions/how-do-you-find-the-maximum-area-of-a-rectangle-with-a-perimeter-of-144-inches | # How do you find the maximum area of a rectangle with a perimeter of 144 inches?
$\frac{144}{4} = 36$ so the area is $36 \cdot 36$=area= $1296 {\text{ in}}^{2}$ | 56 | 4.0625 | 0.73295 |
https://www.gradesaver.com/textbooks/math/algebra/elementary-algebra/chapter-6-factoring-solving-equations-and-problem-solving-6-5-factoring-solving-equations-and-problem-solving-problem-set-6-5-page-269/21 | ## Elementary Algebra
$8(x^{2}+9)$
Since $8$ is common to both the terms of the equation, we take it out as a common factor: $8x^{2}+72$ =$8(x^{2}+9)$ | 56 | 4.0625 | 0.954315 |
https://socratic.org/questions/how-do-you-find-the-sum-of-10-21 | # How do you find the sum of 10-21?
May 4, 2018
$10 - 21 = - 11$
#### Explanation:
$21 - 10 = 11$
so
$10 - 21 = - 11$ | 56 | 4.125 | 0.81499 |
https://www.gradesaver.com/textbooks/math/algebra/elementary-algebra/chapter-2-real-numbers-2-3-real-numbers-and-algebraic-expressions-problem-set-2-3-page-68/45 | Elementary Algebra
$0.76$
In order to follow order of operations, we simplify everything inside of parenthesis first and then multiply: $0.76(0.2+0.8)$ =$0.76(1.0)$ =$0.76$ | 56 | 4 | 0.829012 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-2-solving-equations-2-1-solving-one-step-equations-lesson-check-page-85/5 | Algebra 1
$3 + x = -34$ Using the additive property of equality, we can add $-3$ to both sides to isolate $x.$ $3 + x - 3 = -34 - 3$ $x = -37$ | 56 | 4 | 0.678821 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-5-review-page-232/25 | ## Elementary Technical Mathematics
$$15a^2+20ab.$$
We simplify by distributing 5a as follows: $$5a(3a+4b)=5a(3a)+5a(4b)=15a^2+20ab.$$ | 56 | 4.0625 | 0.752964 |
https://socratic.org/questions/how-do-you-simplify-15-12-8a | # How do you simplify 15+(12+8a)?
=color(blue)(27 +8a
$15 + \left(12 + 8 a\right) = 15 + 12 + 8 a$
=color(blue)(27 +8a | 56 | 4.125 | 0.41032 |
https://socratic.org/questions/58c3205211ef6b0b320c71ba | # Simplify sqrt10xxsqrt4?
$2 \sqrt{10}$
#### Explanation:
We can simplify $\sqrt{4} = 2$, and so
$\sqrt{10} \times \sqrt{4} = 2 \sqrt{10}$ | 56 | 4.15625 | 0.402645 |
http://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-cumulative-review-page-161/43 | ## Prealgebra (7th Edition)
$22$
If a=8 and b=-6, then plug them into the expression. $2a-b$ $2(8)-(-6)$ $16-(-6)$ $16+6$ $22$ | 56 | 4 | 0.571883 |
https://www.gradesaver.com/textbooks/math/algebra/elementary-algebra/chapter-1-some-basic-concepts-of-arithmetic-and-algebra-1-3-integers-addition-and-subtraction-problem-set-1-3-page-20/91 | ## Elementary Algebra
$7$
RECALL: $a-(-b)=a+b$ Replace the variables with their given values to obtain: $x-y = -6-(-13)$ Use the rule above to obtain: $=-6+13 \\=7$ | 56 | 4.03125 | 0.491898 |
http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-2-review-page-111/17 | ## Intermediate Algebra (6th Edition)
Original Equation $\frac{y}{4}$-$\frac{y}{2}$=-8 Multiply both sides by 4 y-2y=-32 Simplify -y=-32 Divide both sides by -1 y=32 | 55 | 4 | 0.7931 |
https://socratic.org/questions/how-do-you-factor-16g-24h | # How do you factor 16g + 24h?
$= 8 \left(2 g + 3 h\right)$
$16 g + 24 h$
$= 8 \left(2 g + 3 h\right)$ | 55 | 4.0625 | 0.252111 |
https://socratic.org/questions/the-sum-of-the-measures-of-two-exterior-angles-of-a-triangle-is-264-degrees-what | # The sum of the measures of two exterior angles of a triangle is 264 degrees. What is the measure of the third exterior angle?
The exterior angles of any polygon add to 360 so your 3rd angle is $360 - 264 = 36$ | 55 | 4.03125 | 0.915466 |
https://www.answers.com/Q/Why_is_1_4_and_0.25_equal | # Why is 1 4 and 0.25 equal?
The line in a fraction can be read as "divided by."
1/4 is actually 1 divided by 4
Do the division.
1 ÷ 4 = 0.25 | 55 | 4 | 0.967723 |
https://socratic.org/questions/how-do-you-simplify-square-root-of-50 | # How do you simplify: square root of 50?
=color(blue)(5sqrt2
Prime factorising $50$
$\sqrt{50} = \sqrt{5 \cdot 5 \cdot 2}$
=color(blue)(5sqrt2# | 55 | 4.03125 | 0.597318 |
https://socratic.org/questions/a-pair-of-shoes-cost-80-what-is-3-4-of-80 | # A pair of shoes cost $80. What is 3/4 of$80?
$60 #### Explanation: Just multiply 3/4 times$80
3times$80/4 = 3times$20 = $60 Your answer is $60 | 55 | 4.03125 | 0.851858 |
https://socratic.org/questions/how-do-you-simplify-sqrt-6-7-sqrt-3-10 | # How do you simplify sqrt(6/7) *sqrt(3/10)?
$3 \sqrt{\frac{2}{70}}$
=$\sqrt{\frac{18}{70}} = 3 \sqrt{\frac{2}{70}}$ | 55 | 4.125 | 0.385052 |
https://socratic.org/questions/one-base-angle-of-an-isosceles-triangle-measures-50-what-is-the-number-of-degree#191635 | # One base angle of an isosceles triangle measures 50°. What is the number of degrees in the vertex angle?
Measure of vertex angle in degrees:$= 180 - 2 \cdot 50 = 180 - 100 = 80$ | 55 | 4.0625 | 0.725717 |
https://www.gradesaver.com/textbooks/math/algebra/elementary-and-intermediate-algebra-concepts-and-applications-6th-edition/chapter-4-polynomials-connecting-the-concepts-exercises-page-243/5 | Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$x^{40}$
Use the rule $(a^m)^n=a^{mn}$ to obtain: $(x^{-4})^{-10}=x^{-4(-10)}=x^{40}$ | 55 | 4 | 0.633283 |
https://api-project-1022638073839.appspot.com/questions/what-is-20-of-190 | # What is 20% of 190?
20% of $190 = \left(\frac{20}{100}\right) \times 190$
$= 0.2 \times 190 = 2 \times 19 = 38$ | 55 | 4.125 | 0.656671 |
https://socratic.org/questions/how-do-you-solve-9-10-b | # How do you solve 9=10+b?
Aug 28, 2016
$b = - 1$
#### Explanation:
$9 = 10 + b$
or
$b = 9 - 10$
or
$b = - 1$ | 55 | 4.09375 | 0.67049 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-section-2-5-order-of-operations-practice-page-135/6 | ## Prealgebra (7th Edition)
30 + 50 + $(-4)^{3}$ = 30+50 + (-64)= Write $(-4)^{3}$ as -64. =80-64=16 Add from left to right. | 55 | 4.03125 | 0.740542 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-section-2-2-adding-integers-exercise-set-page-112/24 | ## Prealgebra (7th Edition)
$-656$
$|-400|=400, |-256|=256$, and $400+256=656$. Their common sign is negative, so the sum is negative: $-400+(-256)=-656$ | 55 | 4 | 0.664417 |
https://socratic.org/questions/how-do-you-solve-4-x-12 | # How do you solve 4 + x = -12 ?
Mar 20, 2018
$x = - 16$
#### Explanation:
$4 + x = - 12$
$x = - 12 - 4$
$x = - 16$ | 55 | 4.125 | 0.483175 |
https://socratic.org/questions/how-do-you-solve-6d-42 | # How do you solve -6d=-42?
Let's divide each side $- 6$ to get our answer:
$\frac{- 6 d}{-} 6 = \frac{- 42}{-} 6$
$d = 7$ | 55 | 4.03125 | 0.698059 |
http://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-2-section-2-3-multiplication-and-division-of-signed-numbers-exercises-page-114/59 | ## Elementary Technical Mathematics
Divide the absolute values. Since the dividend and divisor have the same sign the quotient is positive. $\frac{-54}{-6}=\frac{|-54|}{|-6|}=\frac{54}{6}=9$ | 54 | 4.09375 | 0.609061 |
https://socratic.org/questions/22-is-44-of-what-number | # 22 is 44% of what number?
##### 1 Answer
$50$
#### Explanation:
22 = 44% * x
$1 = \frac{2}{100} \cdot x$
$x = \frac{100}{2}$ | 54 | 4.03125 | 0.5806 |
https://socratic.org/questions/how-do-you-simplify-2sqrt-10-times-sqrt-6 | # How do you simplify 2sqrt(10) times sqrt(6)?
2√10 = √4 x √10 = √40
√40 x √6 = √240
√240 = √16 x √15 $=$ 4√15 | 54 | 4.03125 | 0.358888 |
https://socratic.org/questions/what-is-the-square-root-of-15-times-the-square-root-of-21#169844 | # What is the square root of 15 times the square root of 21?
$3 \cdot \sqrt{35}$
sqrt(15)*sqrt(21) =sqrt(3*5*3*7) =3*sqrt(35) | 54 | 4.09375 | 0.611899 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-1-foundations-for-algebra-1-5-adding-and-subtracting-real-numbers-practice-and-problem-solving-exercises-page-35/50 | ## Algebra 1
Use the order of operations to simplify. =$7+(2^2-3^2)\longrightarrow$ simplify exponents inside parentheses =$7+(4-9)\longrightarrow$ subtract within parentheses =$7+(-5)$ add =$2$ | 54 | 4.09375 | 0.56913 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-2-solving-equations-2-2-solving-two-step-equations-practice-and-problem-solving-exercises-page-92/57 | ## Algebra 1
$4$
$8b+6=38$ - Set up the equation $8b=32$ - Subtract 6 on both sides $b=4$ - Divide by 8 on both sides $4$ - Final answer | 54 | 4 | 0.733438 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-3-review-page-157/34 | ## Elementary Technical Mathematics
$$6.073 \ ha$$
Since $1 ha = 2.47 acres$, then we have $$15.0 \ acres = \frac{15}{2.47} \ ha = 6.073 \ ha$$ | 54 | 4 | 0.506009 |
http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-2-section-2-3-formulas-and-problem-solving-vocabulary-readiness-video-check-page-73/3 | ## Intermediate Algebra (6th Edition)
$a=5b+8$
We are given that $a-5b=8$. To solve for a, we must add 5b to both sides of the equation. $a=5b+8$ | 54 | 4 | 0.851332 |
https://socratic.org/questions/how-do-you-solve-9-4x-x-14#472168 | # How do you solve 9+ 4x + x = 14?
Sep 6, 2017
Like so:
#### Explanation:
$9 + 5 x = 14$
$5 x = 5$
$x = 1$ | 54 | 4 | 0.634676 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-2-common-core/skills-handbook-simplifying-expressions-with-integers-exercises-page-975/4 | Algebra 2 Common Core
$-13$
To subtract a larger positive number from a smaller positive number, we can subtract the smaller number from the larger number and assign a negative. Therefore, $$4-17=-(17-4)=-13$$ | 54 | 4 | 0.702871 |
https://socratic.org/questions/how-many-cubic-feet-are-in-a-cubic-yard | # How many cubic feet are in a cubic yard?
one cubic yard is $27$ cubic feet
As there are $3$ feet in a yard,
one cubic yard will have $3 \times 3 \times 3 = 27$ cubic feet | 54 | 4.09375 | 0.951862 |
https://socratic.org/questions/what-number-is-340-percent-of-56#590080 | # What number is 340 percent of 56?
Apr 7, 2018
$190.4$
#### Explanation:
"Number" = 340%\ "of"\ 56 = 340/100 × 56 = 190.4 | 53 | 4.15625 | 0.846355 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-7-exponents-and-exponential-functions-7-4-more-multiplication-properties-of-exponents-practice-and-problem-solving-exercises-page-436/15 | ## Algebra 1
$x^{-15}$
We start with the given expression: $(x^{3})^{-5}$ To raise a power to a power, we multiply the exponents: $x^{3\times-5}=x^{-15}$ | 53 | 4 | 0.598849 |
https://asvabtestpro.com/quiz/if-7x-49-then-x-6271da4ddb5cd741a80b4cca/ | # If -7x = 49, then x = ?
-7
Explanation
Isolate the “x” by dividing each side of the equation by -7: -7x / -7 = 49 / -7 so x = -7 | 53 | 4.03125 | 0.795817 |
https://www.gradesaver.com/textbooks/math/other-math/basic-college-mathematics-9th-edition/chapter-9-basic-algebra-9-2-adding-and-subtracting-signed-numbers-9-2-exercises-page-640/6 | ## Basic College Mathematics (9th Edition)
$6+-12=-6$
When you are adding a negative number, the negative 'overrides' the positive, so you must subtract the number instead; so $6+-12=6-12=-6$ | 53 | 4.03125 | 0.672116 |
https://socratic.org/questions/how-do-you-solve-12-42-42w-56 | # How do you solve 12/42=(42w)/56?
$w = \frac{8}{21}$
$w = \frac{12 \cdot 56}{42 \cdot 42} = \frac{8}{21}$ | 53 | 4.09375 | 0.656507 |
https://socratic.org/questions/how-do-you-solve-84-r-34#424216 | # How do you solve 84=r-34?
May 16, 2017
$r = 118$
#### Explanation:
$r - 34 = 84$
or
$r = 84 + 34$
or
$r = 118$ | 53 | 4.0625 | 0.608788 |
https://socratic.org/questions/how-do-you-solve-12-4x-8 | # How do you solve -12 > -4x + 8?
Let's add $4 x$
$\to 4 x - 12 > 8$
Now add $12$
$4 x > 20 \to x > 5$ | 53 | 4 | 0.342267 |
https://socratic.org/questions/how-do-you-simplify-5-16p | # How do you simplify 5(16p)?
$80 p$
$\text{note that } 5 \left(16 p\right) = 5 \times 16 p$
$5 \times 16 p = 80 p$ | 53 | 4.0625 | 0.503754 |
https://socratic.org/questions/how-do-you-simplify-7-3-3-4 | # How do you simplify 7^3 * 3^4?
The answer is $27 , 783$
${7}^{3} \cdot {3}^{4}$
$343 \cdot 81 = 27 , 783$ | 53 | 4.0625 | 0.600314 |
https://socratic.org/questions/how-do-you-simplify-3sqrt6-4-sqrt10 | # How do you simplify (3sqrt6) /( 4 sqrt10)?
(3sqrt6)/(4sqrt10)=(3sqrt3xxsqrt2)/(4sqrt5xxsqrt2)=(3sqrt3)/(4sqrt5)=(3sqrt15)/20 | 53 | 4 | 0.370244 |
http://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-6-section-6-1-equations-exercises-page-238/60 | ## Elementary Technical Mathematics
m=$\frac{6}{5}$
Switch sides 5m+52=58 subtract 52 from both sides simplify 5m=6 divide both sides by 5 simplify m=$\frac{6}{5}$ | 53 | 4 | 0.763024 |
http://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-2-section-2-3-multiplication-and-division-of-signed-numbers-exercises-page-114/20 | ## Elementary Technical Mathematics
Multiply the absolute values. Since one factor is negative and the other is positive, the product is negative. $(-22)(+14)=-(|-22|\times |+14|)=-(22\times14)=-308$ | 53 | 4.125 | 0.738328 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-7-exponents-and-exponential-functions-mid-chapter-quiz-page-439/2 | ## Algebra 1
$r^{20}$
We start with the given expression: $(r^{-5})^{-4}$ To raise a power to a power, we multiply the exponents: $r^{-5\times-4}=r^{20}$ | 53 | 4.03125 | 0.503799 |
https://socratic.org/questions/how-do-you-simplify-3sqrt3-times-6 | # How do you simplify 3sqrt3 times 6?
Apr 22, 2016
$18 \sqrt{3}$
#### Explanation:
$3 \sqrt{3} \cdot 6 = 18 \sqrt{3}$ | 52 | 4.1875 | 0.571763 |
https://socratic.org/questions/how-do-you-simplify-square-root-of-35-times-square-root-of-10 | # How do you simplify square root of 35 times square root of 10?
$\sqrt{350}$
$\sqrt{35} \cdot \sqrt{10} = \sqrt{35} \cdot 10 = \sqrt{350}$ | 52 | 4.03125 | 0.372384 |
http://www.bookrags.com/questions/math/what-percent-of-66-is-33--179412 | # What percent of 66 is 33?
x = 33
100 66
(x)(66)=(100)(33)
(x)(66)/66=(100)(33)/66
x=(100)(33)/66
x=50% | 52 | 4 | 0.776728 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-2-section-2-3-multiplication-and-division-of-signed-numbers-signed-numbers-drill-3-page-114/20 | ## Elementary Technical Mathematics
To multiply two numbers with different signs, multiply the absolute values. Place a negative sign before the product. $(-22)(+14)=-(|-22|)(|+14|)=-(22)(14)=-308$ | 52 | 4 | 0.566394 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-test-page-158/18 | ## Prealgebra (7th Edition)
$3-(8-2)^3$ $\longrightarrow$resolve expression in parenthesis =$3-6^3$ $\longrightarrow$resolve exponents =$3-216$ $\longrightarrow$subtract =$-213$ | 52 | 4.03125 | 0.478789 |
https://byjus.com/questions/how-do-you-write-2-7-in-percentage/ | # How do you write 2/7 in percentage?
By direct calculation we get 2 ÷ 7 = 0.2857
As a percentage: 28.57 % 2 is approximately 28.57 % of 7 | 52 | 4 | 0.89426 |
https://socratic.org/questions/how-do-you-convert-3-meters-to-centimeters | # How do you convert 3 meters to centimeters?
Oct 27, 2016
300 cm
#### Explanation:
1 m = 100 cm
So,
3m = $100 \cdot 3$
$$ = 300 cm | 52 | 4.125 | 0.760673 |
http://www.bookrags.com/questions/math/how-many-percent-of-144-is-108--179413 | # How many percent of 144 is 108?
x = 108
100 144
(x)(144)=(100)(108)
(x)(144)/144=(100)(108)/144
x=(100)(108)/144
x=75 | 52 | 4.03125 | 0.642151 |
https://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-9-section-9-3-exponential-functions-exercise-set-page-559/29 | ## Intermediate Algebra (6th Edition)
$x=4$
We are given that $5^{x}=625$. We know that $x=4$, because $5^{4}=5\times5\times5\times5=625$. | 51 | 4 | 0.821526 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-6-section-6-1-equations-exercises-page-238/48 | ## Elementary Technical Mathematics
r=-$\frac{35}{3}$
switch sides -7-3r=28 add 7 to both sides -3r=35 divide both sides by -3 r=-$\frac{35}{3}$ | 51 | 4.0625 | 0.594607 |
https://socratic.org/questions/how-do-you-simplify-4-a-3 | How do you simplify 4(a-3)?
Aug 13, 2016
$= 4 a - 12$
Explanation:
$4 \left(a - 3\right)$
$= 4 a - 12$ | 51 | 4.125 | 0.337021 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-5-section-5-2-simplifying-algebraic-expressions-exercise-page-218/69 | ## Elementary Technical Mathematics
$4n+8$
We simplify by removing the parentheses and combining the like terms as follows: $$6n - (2n - 8)=6n-2n+8=4n+8 .$$ | 51 | 4.03125 | 0.842493 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-section-2-5-order-of-operations-exercise-set-page-139/76 | ## Prealgebra (7th Edition)
3 -$z^{2}$ Replace z with -4 = 3 -$(-4)^{2}$ Write $(-4)^{2}$ as 16 = 3 - 16 =-13 | 51 | 4.1875 | 0.655056 |
https://socratic.org/questions/how-do-you-solve-4-21-y-84 | # How do you solve 4/21=y/84?
$y = 16$
#### Explanation:
Multiply both sides by 84.
$\frac{4}{21} \cdot 84 = y = 4 \cdot 4$ | 51 | 4.28125 | 0.736466 |
https://socratic.org/questions/how-do-you-evaluate-9-3-4 | # How do you evaluate 9*(3+4)?
$9 \cdot \left(3 + 4\right) = 9 \cdot 3 + 9 \cdot 4$
$27 + 36 = 63$ | 51 | 4 | 0.254649 |
https://socratic.org/questions/what-percent-of-70-is-21 | # What percent of 70 is 21?
30%
10% of $70$ is $7$
$3$ times $7$ is $21$
Then $21$ is 3(10)%=30% of $70$ | 51 | 4.03125 | 0.92913 |
https://braingenie.ck12.org/skills/101863/learn | ### Sample Problem
Fill in the blank
20.65 × 70 =
#### Solution
20.65 × 7 = 144.55
Move the point 1 place to the right, the number is 1,445.5 | 51 | 4.03125 | 0.711376 |
https://www.gradesaver.com/textbooks/math/algebra/college-algebra-6th-edition/chapter-p-summary-review-and-test-review-exercises-page-89/12 | ## College Algebra (6th Edition)
$21$
To find the distance between the numbers, subtract the second point from the first point and then take the absolute value of the result. $|-17-4|=|-21|$ $=21$ | 51 | 4.03125 | 0.805488 |
https://socratic.org/questions/what-is-31-450-18 | # What is 31(450-18)?
$31 \left(450 - 18\right) = 31 \cdot \left(450 - 18\right) = 31 \cdot 432 = 13392$ | 50 | 4 | 0.462324 |
https://socratic.org/questions/what-is-the-percent-change-for-5-miles-to-12-miles | # What is the percent change for 5 miles to 12 miles?
=140%
Change$= 12 - 5 = 7$
Hence % Change$= \frac{7}{5}$ x100%
=140% | 50 | 4.09375 | 0.783866 |
https://socratic.org/questions/how-do-you-factor-48-4m | # How do you factor 48 - 4m?
$48 - 4 m = 4 \left(12 - m\right)$
$48 - 4 m = 4 \left(12 - m\right)$ | 50 | 4.09375 | 0.310011 |
http://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-section-2-5-order-of-operations-exercise-set-page-139/75 | Prealgebra (7th Edition)
10 -$x^{2}$ Replace x with -3 = 10 -$(-3)^{2}$ Write $(-3)^{2}$ as 9 = 10 - 9 =1 | 49 | 4.03125 | 0.676503 |
https://socratic.org/questions/how-do-you-solve-22-11v | # How do you solve -22=11v?
$v = - 2$
$- \frac{22}{11} = - 2$
So, $- 22 = 11 v$ equals $- 2$ | 49 | 4 | 0.525241 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-8-polynomials-and-factoring-8-2-multiplying-and-factoring-mixed-review-page-484/56 | ## Algebra 1
$8x-40$
We start with the given expression: $8(x-5)$ We apply the distributive property: $8x+8(-5)$ We multiply: $8x-40$ | 49 | 4 | 0.667868 |
https://socratic.org/questions/what-is-70-of-140 | # What is 70% of 140?
So 70%=70/100=0.70
$\to \frac{70}{100} \times 140 = 0.70 \times 140 = 98$ | 49 | 4.0625 | 0.651001 |
https://socratic.org/questions/what-is-15-of-376 | # What is 15% of 376?
$56.4$
$= \frac{15}{100} \times 376$
$= 0.15 \times 376$
$= 56.4$ | 48 | 4.15625 | 0.30169 |
https://socratic.org/questions/how-do-you-find-10-1-2-of-60-1 | # How do you find 10 1/2 of 60?
$630$
It is $\frac{21}{2} \cdot \frac{60}{1} = 21 \cdot 30 = 630$ | 48 | 4 | 0.641173 |
https://socratic.org/questions/how-do-you-simplify-3-sqrt-121 | # How do you simplify 3\sqrt{121}?
$3 \cdot \sqrt{121} = 33$
$\sqrt{121} = 11$
$3 \cdot 11 = 33$ | 46 | 4 | 0.449939 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-review-page-156/91 | ## Prealgebra (7th Edition)
$43-(8-3)^2$ $\longrightarrow$ resolve expression in parenthesis =$43-5^2$ $\longrightarrow$ resolve exponent =$43-25$ =$18$ | 46 | 4 | 0.5999 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-section-2-6-solving-equations-the-addition-and-multiplication-properties-exercise-set-page-149/38 | ## Prealgebra (7th Edition)
$z=-28+36$ $\longrightarrow$ simplify $z=8$ Substitute to check. $8=-28+36$ $8=8\checkmark$ | 45 | 4 | 0.456791 |
https://socratic.org/questions/how-do-you-simplify-sqrt-180 | # How do you simplify sqrt(180)?
We have that
$\sqrt{180} = \sqrt{36 \cdot 5} = 6 \cdot \sqrt{5} = 13.42$ | 45 | 4 | 0.547672 |
https://www.gradesaver.com/textbooks/math/prealgebra/prealgebra-7th-edition/chapter-2-section-2-5-order-of-operations-exercise-set-page-139/44 | ## Prealgebra (7th Edition)
(-20-5) $\div$ 5-15 Simplify inside parentheses = -35 $\div5$ -15 Divide = -7-15 = -22 | 44 | 4.03125 | 0.594969 |
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