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DanielleElmas [232]
1 year ago
12

selim is ordering concrete spheres to place as barriers in the city park. the spheres cost $2 per square foot, and selim can spe

nd $20 per sphere. what is the maximum diameter of the spheres he can purchase? a. 0.89 ft b. 3.56 ft c. 1.78 ft d. 1.59 ft
Mathematics
1 answer:
hoa [83]1 year ago
8 0

The maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

<h3>How to determine the diameter</h3>

The formula for area of a sphere is expressed as;

Area = 4 πr²

If Selim paid $2 per square foot and have a maximum of $20 per square

The area he can purchase is;

= $20/$2

= 10$

Substitute the value into the formula

10 = 4πr²

10 = 4 × 3. 142 ×  r²

10 = 12. 568r²

Make 'r²' the subject

r² = 10/ 12. 568

r² = 0. 79

Find the square root of both sides

r = √0. 79

r = 0. 89

But diameter = 2(radius)

Diameter = 2 × 0. 89 = 1. 78 ft

Thus, the maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

Learn more about spheres here:

brainly.com/question/10171109

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3 years ago
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amo
Vika [28.1K]

The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S  .

In the question ,

it is given that

amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,

let the amount of dough required for small pizza = S

let the amount of dough required for large pizza = L

let the amount of dough required for medium pizza = M

So , M = (3/2)S

and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,

that is

L = (5/2)S

amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,

that is L = M + S .

Substituting the value of L and S , we get

(5/2)S = (3/2)S + S

We have a linear equation that is true for all S , there is no unique solution to this equation .

Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .

The given question is incomplete , the complete question is

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .

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Step-by-step explanation:

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