If the width of the rectangle will be 4 less than the length and the length is represented by x then we could have the equation w=x - 4 for the width and the length is just x. And to find the area of a rectangle we multiply the length by the with so multiply x-4 by x for it to equal 140 because 140 is the area.

x(x-4) = 140 solve for x

$x^{2}$ - 4x = 140 subtract 140 from both sides

x^2 - 4x - 140 = 0 find a number that the product is 140 and the sum is -4

-14 and 10 works out.

$x^{2}$ - 14x + 10x - 140 = 0 factor by grouping

x(x -14) 10(x-14) = 0 factor out x-14

(x-14) ( x+10) = 0 set them both equal zero.

x-14= 0 or x+10 = 0

x = 14 or x= -10

Since -10 can't represent a distance, the answer is 14.

Check.

In this case the length is 14 and if the width is 4 less than the length then we will subtract 4 from 14.

14- 4 = 10 so the width is 10.

14 * 10 = 140

7 0

3 years ago

For her phone service, Yolanda pays a monthly fee of $29, and she pays an additional $0.04 per minute of use. The least she has

Lera25 [3.4K]

Let the number of minutes be m
29 + 0.04m ≥ 72.36
0.04m ≥ 72.36 - 29
0.04m ≥ 43.36
m ≥ 1084 minutes

5 0

3 years ago

What is the surface area of a triangular prism

Anettt [7]

2(24 × 4) + 2(16 × 5) + 2(16 × 24)

To simplify this expression, you'd apply the Distributive Property, which is defined as a(b + c) = ab + ac. This means you multiply the number on the outside of the parentheses by each number on the inside and add their products. Let's begin to solve.

2(24 × 4) + 2(16 × 5) + 2(16 × 24)
48 + 8 + 2(16 × 5) + 2(16 × 24)
48 + 8 + 32 + 10 + 2(16 × 24)
48 + 8 + 32 + 10 + 32 + 48
56 + 42 + 80
178

Answer:
The surface area of the triangular prism is 178 units squared.

8 0

3 years ago