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evablogger [386]
3 years ago
14

How to find radius of a circle with area of 25 pie?

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

{r}^{2} \pi = 25\pi
so
r = 5
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1/5 (4-3x) = 1/7 (3x - 4) pls solve
natulia [17]

\huge \boxed{\mathfrak{Question} \downarrow}

  • \large\sf\frac{1}{5} (4 - 3x) =  \frac{1}{7} (3x - 4) \\

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\frac{1}{5} (4 - 3x) =  \frac{1}{7} (3x - 4) \\

Use the distributive property to multiply 1/5 by 4-3x.

\frac{1}{5}\times 4+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right)  \\

Multiply 1/5 and 4 to get 4/5.

\frac{4}{5}+\frac{1}{5}\left(-3\right)x=\frac{1}{7}\left(3x-4\right)  \\

Multiply 1/5 and -3 to get -3/5.

\frac{4}{5}+\frac{-3}{5}x=\frac{1}{7}\left(3x-4\right)  \\

Use the distributive property to multiply 1/7 by 3x-4.

\frac{4}{5}-\frac{3}{5}x=\frac{1}{7}\times 3x+\frac{1}{7}\left(-4\right)  \\

Multiply 1/7 and 3 to get 3/7 & 1/7 × -4 to get -4/7.

\frac{4}{5}-\frac{3}{5}x=\frac{3}{7}x-\frac{4}{7}  \\

Subtract \frac{3}{7}x\\ from both sides.

\frac{4}{5}-\frac{3}{5}x-\frac{3}{7}x=-\frac{4}{7}  \\

Combine -\frac{3}{5}x\\ and -\frac{3}{7}x\\ to get -\frac{36}{35}x\\.

\frac{4}{5}-\frac{36}{35}x=-\frac{4}{7}  \\

Subtract 4/5 from both sides.

-\frac{36}{35}x=-\frac{4}{7}-\frac{4}{5}  \\

The least common multiple of 7 and 5 is 35. Convert -4/7 and 4/5 to fractions with denominator 35.

-\frac{36}{35}x=-\frac{20}{35}-\frac{28}{35}  \\

Because -\frac{20}{35} \\ and \frac{28}{35}\\ have the same denominator, subtract them by subtracting their numerators.

-\frac{36}{35}x=\frac{-20-28}{35}  \\

Subtract 28 from -20 to get -48.

-\frac{36}{35}x=-\frac{48}{35}  \\

Multiply both sides by -\frac{35}{36}\\, the reciprocal of -\frac{36}{35}\\.

x=-\frac{48}{35}\left(-\frac{35}{36}\right)  \\

Multiply -\frac{48}{35}\\ by -\frac{35}{36}\\ by multiplying the numerator by the numerator and the denominator by the denominator.

x=\frac{-48\left(-35\right)}{35\times 36}  \\

Carry out the multiplications in the fraction \frac{-48\left(-35\right)}{35\times 36}\\.

x=\frac{1680}{1260}  \\

Reduce the fraction 1680/1260 to its lowest terms by extracting and cancelling out 420.

\huge \boxed{ \boxed{ \bf \: x=\frac{4}{3}  \approx \: 1.33}}

3 0
3 years ago
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Wor At an assembly, 180 students sit in 9 equal rows. How many student n each row? ​
aliina [53]

Answer: 20

Step-by-step explanation:

Divide the number of students by the number of rows,

180/9=20

3 0
3 years ago
PLEASE HELP ME!!!!!!! I NEED HELP! The triangles below are similar. Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is
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Answer:

Triangle R S P is similar to triangle Z X Y

Triangle S R P is similar to triangle X Z Y

Triangle R P S is similar to triangle Z Y X

7 0
3 years ago
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Please help this is worth 14 points it’s super easy
deff fn [24]
Answer : the answer to 6.403 divided by 8 is 0.8
3 0
4 years ago
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Please help with these 4 questions
horsena [70]

We use the BODMAS method to solve the given questions.

Solve the Bracket then Divide Multiply Add and Subtract

1. 32÷4×(16×1/2) - 2

= 32÷4 × ( 8 ) - 2

= 8 × 8 - 2 = 64 - 2 = 62

2. 20 ÷ (5×2/5) + 3

= 20 ÷ (2) + 3 = 20 ÷ 2 + 3

= 10 + 3 = 13

3. 1/2 ×(6×4) ÷ 3 + 2

= 1/2 × 24 ÷ 3 + 2

= 1/2 × 8 + 2

= 4 + 2 = 6

4. 2 (6÷2+8) - 4

= 2 (3+8) - 4

= 2 × 11 - 4

= 22 - 4

= 18

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2 years ago
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