Simplify each expression using the properties of numbers. Show each step

12 (x + 3) + 4 (2x - 5)

and

7z + 27z + 17 + 7 (z - 7)

A passenger car will go 585 mi on 19.5 gallons of gasoline what is the rate in miles per gallon

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 101010 denarii per day to support 444 legionaries and 444 archers. It only costs 555 denarii per day to support 222 legionaries and 222 archers.

Say someone has made a 4-sided die, and states the following probabilities of getting a side (1,2,3, or 4). In each part, state whether a proper probability distribution was used. Why or why not. a. P (1) = 0.25, P (2) = - 0.1, P (3) = 0.

Write and solve an equation to find an unknown side length of rectangle when given the perimeter

What is the place called where the addition symbol is in this equation; 7+2=9

You invested into a content management company that specializes in peer to peer networks four years ago with a stock value of $56.30 a share. Today, a single share of the company is worth $32.21.

The original price of a new pair of shoes is $40. If there is a 20% discount on all shoes, how much is deducted from the original price?

The sum of 3 consecutive integers is 261. What is the middle number?

25/34 X 5/4 What is the answer

The water depth in a pond is initially 48 inches and decreases at a rate of 0.5 inches per day through evaporation. Write a function that represents the depth of the pond at a given time. What will be the depth of the pond after 8 days?