Gina is comparing the membership fees for two museums. The art museum charges a one-time fee of $7.25 plus $3.50 per month. - The science museum charges a one-time fee of $10.50 plus $4.50 per month. How much does she save after m months by joining the art museum instead of the science museum? (Hint: write the expressions for the art museum and the science museum FIRST and then find the difference)​

here two links for your answer. https://quizlet.com/325167814/financial-math-flash-cards/ https://quizlet.com/475135130/financial-math-e2020-flash-cards $2.5

Step-by-step explanation:

The art museum charges a one-time fee of $8.25 plus $2.25 per month.

So, the cost function for membership for x months in the art museum f(x) = 8.25 + 2.25x (1)

Again, the science museum charges a one-time fee of $10.75 plus $3.5 per month.

Hence, the cost function for membership for x months in the science museum g(x) = 10.75 + 3.5x (2)

So, from both the equations it is clear that for only joining the monthly charges are zero.

So, f(0) = 8.25 and g(0) = 10.75.

Therefore, Barrett will save by joining the art museum instead of the science museum by $(10.75 - 8.25) = $2.5. (Answer)

Step-by-step explanation:

dude thats to long figure it

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .