The time hazel spends commuting to work can be represented by two expressions:

time to work: x + 6y

time from work: 3x − 10y

which expression represents the total time hazel spends commuting to and from work each day?

7x − 7y

4x − 4y

4x + 4y

4x − 16y

4x-4y

Step-by-step explanation:

Given time to work by hazel = x+6y

Time from work = 3x-10y

The expression which represents the total time Hazel spends commuting to and from work each day will be the sum of function of time hazel spend to work and from work.

Let time to work be f(x) and time from work be g(x)

The total time taken to and fro will be f(x)+g(x)

f(x)+g(x) =x+6y +(3x-10y)

f(x)+g(x) = x+3x+6y-10y

f(x)+g(x) = 4x-4y

whats the

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