Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00. Find the cost of each.

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

Step-by-step explanation:

Let the cost:

1 cheese slice = c

1 pepperoni slice = p

Two friends are going to the mall to buy pizza.

One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.

c + 2p = $8.75Equation 1

c = $8.75 - 2p

Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.

2c + 3p = $15.00Equation 2

We substitute 8.75 - 2p for c in Equation 2

2(8.75 - 2p) + 3p = $15.00

17.5 - 4p + 3p = 15

Collect like terms

- 4p + 3p = 15 - 17.5

-p = -2.5

p = $2.5

c = $8.75 - 2p

c = $8.75 - 2(2.5)

c = $8.75 - 5.0

c = $3.75

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.