The 2017 World Alma- nac and Book of Facts reported that the U. S. occupation projected to grow the most is personal care aide. By 2024 there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 lev- els. How many personal care aides were there in 2014

There were 118,637 personal care aides in 2014.

Step-by-step explanation:

By 2024, there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 levels.

This means that the 2014 levels is 100% - 26% = 74% of the 2024 levels.

Number of personal care aides in 2014:

74% of 160,320. So

0.74*160320 = 118,637

There were 118,637 personal care aides in 2014.

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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