carlos has a box of coins that he uses when playing poker with friends. the box currently contains 45 coins, consisting of pennies , dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $3.84. How many of each denomination does he can?

number of pennies = 19

number of dimes = 19

number of quarters = 45 - 2 × 19 = 45 - 38 = 7

Step-by-step explanation:

The total number of coins in the box is 45 . The coins consist of pennies, dimes and quarters.

The number of pennies is equal to the number of dimes. The remaining number is the quarters. Therefore,

number of pennies = a

number of dimes = a

number of dimes = 45 - 2a

1 dime = 0.1 dollars

1 penny = 0.01 dollars

1 quarters = 0.25 dollars

Thee total cost can be expressed as follows

3.84 = a(0.01) + a(0.1) + 0.25(45 - 2a)

3.84 = 0.01a  + 0.1a + 11.25  - 0.5 a

3.84 = -0.39 a + 11.25

3.84 - 11.25 = -0.39 a

-7.41  = -0.39 a

divide both sides by -0.39

a = -7.41/-0.39

a = 19

number of pennies = 19

number of dimes = 19

number of quarters = 45 - 2 × 19 = 45 - 38 = 7

for the points! : )

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.