Ralph keeps quarters, nickels, and dimes in the change jar. he has a total of 52 coins. he has three more quarters than dimes and five fewer nickels than dimes. how many dimes does sal have?

Ralph has 18 dimes

Step-by-step explanation:

Let x represent the number of quarters that Ralph has.

Let y represent the number of nickels that Ralph has.

Let z represent the number of dimes that Ralph has.

He has a total of 52 coins. It means that

x + y + z = 52 - - - - - - - - - - -1

He has three more quarters than dimes. This means that

x = z + 3

He has five fewer nickels than dimes. This means that

z = y + 5

y = z - 5

Substituting x = z + 3 and y = z - 5 into equation 1, it becomes

z + 3 + z - 5 + z = 52

3z - 2 = 52

3z = 52 + 2 = 54

z = 54/3 = 18

x = z + 3 = 18 + 3 = 21

y = z - 5 = 18 - 5 = 13

x+14

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204