Why do ratios work in math

If a is increased by 50% and b is decreased by 50%, the resulting numbers will be equal. What is the ratio of a to b?

Dalton's dad rode his bike 1 kilometer north, 1 kilometer west, 1 kilometer south, and 2 kilometers east. How many total kilometers will Dalton's dad ride

If there are 1.61 kilometers in a mile and also 5280 feet in a mile, the how many feet are there in 3 kilometers

Mr. Moore pays $21 to a supplier for the hand drills he sells in his hardware store. $21 is 60% of the price he charges his customers. How much does Mr. Moore charge for a hand drill at his store?

Hannah's school hosted a book donation. There are 150 students at her school, and they donated a total of b books! Hannah donated 3 times as many as the average number of books each student donated.

Vince has 16 beads how many different arrays can vince draw to represent the total numbers of beads he has

What is 29 decreased by 20

Use the identity property of multiplication to write an expression equivalent to 90•1

There are 12 boys and 8 girls in a class. If 2 more girls join the class, what is the new ratio for the number of boys to the number of girls in the class?

How do you write (6) ^-2 without exponents?