Will mark brainliest! jackson biked k kilometers. maria biked 8 more kilometers than jackson. peter biked 2 fewer kilometers than jackson. drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers jackson, maria, and peter biked in all. + + k 8 12 k + 10 k + 8 k + 2 k−8 k−2

60/15 = 4 hrs

Step-by-step explanation:

1. A motorcycle driver travels 15kph faster than a bicycle rider.

The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance?:

Let s = the bike speed

then

(s+15) = the motorcycle speed

Write a time equation; time = dist/speed

Bike time - M'cycle time = 2hr

60%2Fs - 60%2F%28%28s%2B15%29%29 = 2; Sorry for the mistake here!

multiply eq by s(s+15) cancel the denominators and you have

60(s+15) - 60s = 2s(s+15)

60s + 900 - 60s = 2s^2 30s

Combiner as a quadratic equation on the left

0 = 2s^2 + 30s - 900

simplify divide by 2

s^2 + 15s - 450 = 0

Factors to

(s+30)(s-15) = 0

the positive solution

s = 15 km/hr is the bike speed

then

30 km/hr is M'cycle speed

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