Liz works as a lifeguard at her community pool and at the beach on Saturday she worked at the pool for 6 hours and earned $46.50 on Sunday she worked at the beach for 5 hours and earn $46.25 how much more per hour did Liz Hernandez the beach then at the pool

1.50

Step-by-step explanation:

You want to find how much more per hour Liz earned at the beach.

First, find the unit rate for each lifeguarding job.

At the pool, Liz earned $46.50 for 6 hours of lifeguarding.

$46.50÷6

6hours÷6

=

$7.75

1hour

At the beach, Liz earned $46.25 for 5 hours of lifeguarding.

$46.25÷5

5hours÷5

=

$9.25

1hour

Then, subtract the unit rates.

$9.25–$7.75=$1.50

Liz made $1.50 more per hour at the beach than she did at the pool.

29 is the correct answer

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 .