Alexa's babysitting business charges a flat rate of $40 per month, plus $10 per hour that she babysits. Nick's babysitting service does not charge a monthly fee, but does charge $50 per hour that he babysits. Write an equation to find the number of hours h for which Alexa and Nick would charge the same amount

Let, after h hours both would charge the same amount.

Money charged by Alexa in h hours :

A = 40 + 10h     1)

Money charged by Nick in h hours :

N = 0 + 50h       2)

For equal charge :

A = N

40 + 10h = 50h

40h = 40

h = 1 hour

Therefore, Alexa and Nick would charge the same amount at first hour.

Hence, this is the required solution.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3