**Answer:**

The indifference point is 100 minutes.

**Step-by-step explanation:**

Giving the following information:

Plan a cost $23 plus an additional $.08 for each minute of calls.

Plan B cost $19 an additional $.12 for each minute of calls.

<u>**First, we need to establish the total cost formula for each plan:**</u>

Plan A= 23 + 0.08*x

Plan B= 19 + 0.12*x

x= number of minutes

<u>**Now, to calculate the indifference point, we equal both formulas and isolate x:**</u>

23 + 0.08x = 19 + 0.12x

4 = 0.04x

100= x

The indifference point is 100 minutes.

<u>**Prove:**</u>

Plan A= 23 + 0.08*100= $31

Plan B= 19 + 0.12*100= $31

<span>180sqcm/45sqcm=4 She cuts 4 triangles from each rectangle.

(4 patches/rectangle)(32 rectangles)=128 patches

ANSWER: She can cut 128 patches.</span>

**Answer:**

4

**Step-by-step explanation:**

when asked a question such as:

f(x)=4

40=5x

40=5(4)

so 4 replaces (x) an any situation

what im saying is whatever f(x)=? is what you replace x with

**Answer:**

63.00

**Step-by-step explanation:**

Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.