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).

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116