Break even
a large hardware store’s monthly profit from the sale of pvc pipe can be described by the equation p(x)= 6.45x- 9675 dollars, where x is the number of feet of pvc pipe sold. what level of monthly sales is necessary to avoid a loss?

Minimum sales of PVC pipes should be 1500.

Step-by-step explanation:

Monthly profit from the sale of PVC pipe can be described as P(x) = 6.45x - 9675

Here x = number of PVC pipes sold.

To avoid the loss means there is no profit but with no loss.

So by putting p(x) = 0

0 = 6.45x - 9675

6.45x = 9675

x =

  = 1500

Therefore,to avoid the loss minimum number of pipes sold should be 1500.            

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

The answer is in the image 

The answer is in the image 

The answer is in the image 

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet