A collection of quarters and dimes has a total value of$5.00 and contains 32 coins. How many of each kind of coins are there in the collection?

9514 1404 393

  12 quarters

  20 dimes

Step-by-step explanation:

If all were dimes the value would be $3.20. It is $1.80 more than that. Each replacement of a dime with a quarter adds $0.15 to the value, so there must be $1.80/$0.15 = 12 such replacements.

There are 12 quarters and 20 dimes.

Let q represent the number of quarters.

  0.25q +0.10(32 -q) = 5.00 . . . . . total value

  0.15q +3.20 = 5.00 . . . . . . . . . simplify

  q = (5.00 -3.20)/0.15 . . . . . . subtract 3.20 and divide by 0.15

  q = 12

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

nada

step-by-step explanation: