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3 years ago

Find the cube root of 343a³b⁶

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Answer:

$7ab^{2}$

Step-by-step explanation:

You take the cube root of each piece of the term separately:

7 x 7 x 7 = 343, so the cube root of 343 = 7

a^3 = a x a x a, so the cube root of a^3 = a

b^6 = b x b x b x b x b x b = b^2 x b^2 x b^2, so the cube root of b^6 = b^2

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3. Part way through his party, Patrick found that there was 5 2/3 pizzas left. If his friends eat 3/4 of the pizzas, how much of

NARA [144]

Answer:

4 1/4

Step-by-step explanation:

Convert 5 2/3 to an improper fraction. 3 x 5 = 15 + 2=17

17/3 x 3/4 = 51/12= 4 1/4 of the remaining pizza will be eaten

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2 years ago

Line segment XY is tangent to circle Z at point U. Circle Z is shown. Line segment U V is a secant. Line segment X Y is a tangen

Yuri [45]

Answer:

138°

Step-by-step explanation:

∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)

84° + x = 360°

arc YV = 276°

arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.

276° ÷ 2 = 138°

∠YUV = 138°

3 0

2 years ago

Read 2 more answers

F(x) = 3x -6 What is 7 times f(x)

Alina [70]

Answer:

21x - 42, see below :)

Step-by-step explanation:

Hello!

We know that f(x) is equal to 3x - 6

We want to know what 7 * f(x) is so we should first substitute f(x) for 3x - 6

7 * f(x)

7(3x-6)

We use distributive property to open the parenthesis:

7 * 3x + 7 * -6

21x - 42

8 0

3 years ago

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How many quarters are in $375.75?

DanielleElmas [232]

Answer:

1503 quarters

Step-by-step explanation:

There are 4 quarters in 1 dollar, so we multiply this number by 4.

375.75 * 4 = 1503

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3 years ago

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Solve the system of equations. 10x+y=−20 y=2x2−4x−16 ( , ) and ( , )

Sladkaya [172]

I will go about solving this using the elimination method.

First, convert the equations.

10x + y = -20
4x + y = -12

Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.

6x = -8

Third, you want to solve the equation.

6x = -8 (divide by 6)
x = $-1 \frac{1}{3}$

Fourth, solve for y by inserting the answer for x into one of the equations.

10( $-1 \frac{1}{3}$ ) + y = -20
$-13 \frac{1}{3}$ + y = -20 (subtract $-13 \frac{1}{3}$ )
y = $-6 \frac{2}{3}$

The solution for this system of equations is ( $-1 \frac{1}{3}$ , $-6 \frac{2}{3}$ ).

7 0

3 years ago

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