Solve the following word problems:

1. marietta was given a raise of $0.75 per hour, which gave her a new wage of $12.25 per hour. write and solve an equation to determine marietta’s hourly wage before her wage. (show which properties you used in each step)

2.the formula p=8n-30gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 are subtracted.

a. if the profit is $170, how many items were bought?

b. if the same number of items were bought but the expenses were changed from $30 to $40, would the profit increase or decrease and by how much? explain.

1. $11.50 2a. 25 2b. Decrease by 10

Step-by-step explanation:

1. Let's write Marietta's wage before a raise as x

$12.25 = x + $0.75

$12.25 - $0.75 = x

x = $11.50

2a. Let's substitute p with the actual value ($170)

170 = 8n - 30

200 = 8n

n = 200/8 = 25

2b.

p = 8*25 - 40

p = 200 - 40 = 160

160 < 170 so the profit decreased

It decreased by 10 (170 - 160).

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .