Why do graphs of proportional relationships pass through the origin?

A number is 5 more than three times the other number. Twelve less than four times the smaller number equals three times the greater number. Find the number

Which is the value of this expression when a=-2 and b=-3 (3a^-3b^2/2a^-1b^0)

Tim earns $12 per hour as head lifeguard at Sammy's Swim Park. As a first year lifeguard Jack earns 30% less than Tim, and as a second year lifeguard Jim earns $1 more per hour than Jack.

Richard receives a paycheck twice each month. Here's a copy of one of his pay statements. If there are 2 paydays per month, what is Richard's monthly net income?

Six students share eight apples equally. how many apples does each student get?

If X = 3 units, Y = 9 units, and Z = 5 units, what is the volume of the right rectangular pyramid shown above?

How many solutions does the equation 6y - 3y - 7 = - 2 + 3 have? A. Two B. None C. Only one D. Infinitely many Also explain how you got the answer so i can learn more about it.

Solve 5x-4=5 (x-3) + 11

Kimberly traveled to her friend's house and went 300miles in 5 hour. On her way home she took a different route and trveled 420 miles in 7 hours. Are these ratios equivalent? Use proportion to show complete work.

Which of the following scenarios will least negativity impact a credit score? A) Consistently making late payments B) Applying for many different credit cards C) Keeping a high balance on credit cards D) having a short credit history