6. Ralph has $1.65 in nickels and dimes. He has 25 coins in all.

8 dimes and 17 nickels

Step-by-step explanation:

First, we assume all of his coins are nickels. $0.05 * 25 will be $1.25. 165 - 125 is 40, and the money difference of a dime and a nickel is $0.05, so Ralph has 8 dimes and 17 nickels. We can check it by doing (8x10) + (17x5). 80 plus 85 is 165, therefore we can confirm our answer is true.

answer: 1 and 3

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.