A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse traveled the same distance each hour. To determine the distance that the mouse traveled each hour, Matt performed the calculations below.

Step-by-step explanation:

Using the formula for calculating speed;

Speed = Distance/Time

Given

Speed = 3/24 miles per 3 hours

Required

Distance travelled in an hour

3/24 miles = 3 hours

x = 1 hour

Cross multiply;

3 * x = 3/24 * 1

3x = 3/24

Cross multiply;

3x * 24 = 3

72x = 3

x = 3/72

x = 1/24

Hence the distance travelled each hour is 1/24 miles

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

27

step-by-step explanation: