In a game, Theodore received a handful of coins (pennies, nickels, dimes, and quarters) as a prize.
When he got home, he found that he had managed
to get $2.09 in change. He noticed that he had
three times as many pennies as dimes, one more
nickel than dimes, and twice as many quarters as
dimes. How many quarters did Theodore get in
his prize?

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

What is the value of x when x + 7 = 21?

With this question substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t + 3) 4t+12 which statements are true? check all that apply. a. the value of both expressions when t =5 is 32. b. the two expressions are not equivalent. c. the value of both expressions when t=3 is 15. d. the value of both expressions when t=5 is 23. e. the two expressions are equivalent. f. the value of both expressions when t=3 is 24.