Plan A at 60 calls : 60*.25 + 25 = 15 + 25 = 40

Plan A is equal plan B at 60 calls
So if more than 60 calls the plan B will cost less than plan A

Answer: more than 60 calls

7 0

3 years ago

5q greater than or equal to 8q -3/2

kakasveta [241]

5q ≥ 8q - 3/2

Add 3/2 to both sides.

3/2 + 5q ≥ 8q

Subtract 5q from both sides.

3/2 ≥ 3q

Multiply both sides by 2.

3 ≥ 6q

Divide both sides by 6.

0.5 ≥ q.

The value of q is less than or equal to 0.5.

8 0

3 years ago

A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the len

VLD [36.1K]

Answer:

The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet

Step-by-step explanation:

A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:

area = width*length

In this case the length is 0.7 feet longer than twice the width, therefore:

length = 2*width + 0.7

Applying the second equation on the first one and using the data from the question we have:

47.1 = width*(2*width + 0.7)

47.1 = 2*width² + 0.7*width

2*width² + 0.7*width = 47.1

width² + 0.35*width = 23.55

width = $\frac{-0.35 \pm \sqrt{0.35^2 -4*1*(-23.55)}}{2*1} = -0.175 \pm 4,85599$

width = 4.68099 or width = -5.03099

Since the width can't be negative, it can only be 4.68099 feet.

length = 2*4.68099 + 0.7 = 10.06198 feet.

6 0

3 years ago