You are choosing between two different cell phone plans. the first plan charges a rate of 22 cents per minute. the second plan charges a monthly fee of $44.95 plus 11 cents per minute.

how many minutes would you have to use in a month in order for the second plan to be preferable?

it would take 409 minutes before the second plan is preferable.

Step-by-step explanation:

Let x represent the number of minutes that you used

with either the first plan or second plan

Let y represent the total cost of x minutes with the first plan.

Let z represent the total cost of x minutes with the second plan.

The first plan charges a rate of 22 cents per minute. This means that the total cost of x minutes would be

y = 22x

The second plan charges a monthly fee of $44.95(4495 cents) plus 11 cents per minute. This means that the total cost of x minutes would be

z = 11x + 4495

Let us determine the number of minutes before the cost of x minutes using both plans becomes the same, we would equate y to z. It becomes

22x = 11x + 4495

22x - 11x = 4495

11x = 4495

x = 408.63

Since the second plan is cheaper with more minutes, if we go beyond x, it will be cheaper than the first plan. So wen x is 409,

First plan = 22×409 = 8998 cents

Second plan = 11×409 + 4495 = 8994 cents. Second plan is lower at 409 minutes

if you was gonna solve for a, a is a   < -12

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15