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Angelina_Jolie [31]
3 years ago
9

What is the value of x?​

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

Answer:

Step-by-step explanation:

The volume of a sphere is

V=\frac{4}{3}\pi r^3

We are told our volume is 500pi/3, so we fill that in and solve for r:

\frac{500\pi}{3}=\frac{4}{3}\pi r^3

Start by multiplying both sides by 3 over 4 pi:

(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3

Simplifying gives us

125=r^3

Take the cubed root of both sides to get that

r = 5

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What is the answer to 8x + 8y + 12
umka21 [38]
Simplifying
8x + 8y = 12

Solving
8x + 8y = 12

Solving for the variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8y' to each side of the equation. 8x + 8y + -8y = 12 + -8y

Combine like terms: 8y + -8y = 0
8x + 0 = 12 + -8y
8x = 12 + -8y

Divide each side by '8'.
x = 1.5 + -1y

Simplifying x = 1.5 + -1y
3 0
3 years ago
At Happy Pizza, an 8-inch pizza costs $6.00 and a 16-inch pizza costs $14.00. Which pizza is a better deal?​
V125BC [204]

Answer:

8-inch pizza

Step-by-step explanation:

6 0
3 years ago
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Iq scores follow a normal distribution with mean 100 and standard deviation 15. give 100 random city college students a standard
kipiarov [429]
About 68% of the people will score between 85 and 115.

The values of 85 and 115 are exactly 15 points away, or 1 standard deviation, away from the mean.

According to the empirical rule, about 68% of the values in a normal distribution are within 1 standard deviation of the mean.
4 0
3 years ago
Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
1.Find by factors the square root of 3600<br>2. Find by factors the cube root of 343​
Contact [7]

Answer:

1)60

2)7

Step-by-step explanation:

1)The square root of 3600 is 60. It is the positive solution of the equation x2 = 3600. The number 3600 is a perfect square.

2)The cube root of 343 is the number which when multiplied by itself three times gives the product as 343. Since 343 can be expressed as 7 × 7 × 7. Therefore, the cube root of 343 = ∛(7 × 7 × 7) = 7.

4 0
3 years ago
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