Write and equation that represents the distance traveled by a person who can bike at a rate of 8 miles per hour. can someone me with this?

  d = 8t

Step-by-step explanation:

A lot of math is about matching patterns. Here, the pattern you can match is given in the problem statement:

  d = 6t  . . . . . equation for distance traveled at 6 miles per hour

You are asked to write an equation for distance traveled at 8 miles per hour. You can see the number 6 in the above equation matches the "miles per hour" of the traveler. This should give you a clue that when the "miles per hour" changes from 6 to 8, the number in the equation will do likewise.

The equation you want is ...

  d = 8t . . . . . equation for distance traveled at 8 miles per hour

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