Answer:
<em>The cost of 15 potatoes is $7.50</em>
Step-by-step explanation:
The potatoes are sold at a rate of $0.5 per potato.
1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.
Amanda can buy at most 10 potatoes
2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:
15 * $0.5 = $7.50
The cost of 15 potatoes is $7.50
There is only one solution on the first one since you can't get 5 any other time then it being 7.
on the other one all real numbers above 7 are answers since after x is 7 it will be greater the. 5 always.
Answer:
28.27 in²
Step-by-step explanation:
The area of a circle is dependent on only one variable: the radius:
A = πr²
If the radius is 3 inches, as you seem to indicate, then:
A = π(3 in)² = 9π in² = 28.27 in²
Side of the original square is 5 cm.
Step-by-step explanation:
- Step 1: Let the side of the original square be x. Then side of the new square = x + 3 and Area of new square = 64 cm²
Area of a square = (side)²
⇒ 64 = (x + 3)²
⇒ 64 = x² + 6x + 9
⇒ x² + 6x - 55 = 0
⇒ x² + 11x - 5x - 55 = 0 (Since 6x = 11x - 5x as part of factorizing)
⇒ x(x + 11) - 5(x + 11) = 0
⇒ (x + 11)(x - 5) = 0
⇒ x = -11 and x = 5 (Lengths can't be negative)
Side of the original square is 5 cm.