Justify each step of the solution by stating the property that was used to get to each step.

Given: 2 (10-13x) + 9x=-34x+60

Step 1: 20-26x+9x=-34x+60

Step 2: - 17x=-34x+40

Step 3: 17x = 40

Step 4: x=40/17

Two angles are supplementary angles if the sum of their measures is 180. Find two supplementary angles such that the measure of the first angle is 18 degrees less than three times the measure of the second.

The local toy store has a bin of toy vehicles for sale. the bin holds b bikes and c cars. if the store sells 1/2 of the vehicles in the bin, which expression represents the number of vehicles remaining in the bin?

The tot weight of a truck and its load is w pounds. Let / be the weight of the load. When it's empty the truck weighs 2,439 pounds. In this equation tells how to find w when you know / ?

If a percent is 20% in the part is $180 how do I find the original price

Find the 25th term of the arithmetic sequence -7, - 4, - 1, 2, ... 2. In an arithmetic sequence, if a4 = 18 and a10 = 30, determine a1, d, and an. Then write the first four terms of the sequence. 3.

The regular price was $1580, but he got a 15% discount. how much did he pay?

Which of these is the standard form of the following function? f (x) = 7 (x-1) ^2+3 a. f (x) = - 7x^2 - 14x - 10 b. f (x) = - 7x^2 - 14x + 10 c. f (x) = 7x^2 - 14x - 10 d. f (x) = 7x^2 - 14x + 10

Alan is converting large and small numbers from standard notation to scientific notation. Group the numbers according to their powers of 10.

The owner of a 5000 -gal oil truck loads the truck with gasoline and kerosene. The profit on each gallon of gasoline is 16 ¢ and on each gallon of kerosene it is 15 ¢. How many gallons of each fuel did the owner load if the profit was $780 ?

Suppose you have 192 marbles in groups of 15 marbles each. Find the number of groups of marbles. Write the quotient with the remainder written as a fraction. Explain what the fraction part of you answer means