Lisa walks to the mall from her house at 5 mph. 10 minutes later, Lisa's sister Megan starts ridding her bike at 15 mph (they live at the same house) to the mall to meet up with Lisa. They arrive at the mall at the same time. How far is the mall from the house? How long did it take for Megan to get to the mall

1.25 meters

5 minutes

Step-by-step explanation:

Firstly, we are asked to calculate how far the mall as to the house.

Let’s say the time taken by Lisa is x minutes to the mall. This means that the time taken by Megan would be (x-10) minutes since she is traveling at a much more greater speed.

Now, we convert their times to hours by dividing by 60.

Their distances traveled are equal. The total distance traveled by Lisa would be speed * time = 5 * x/60 = x/12

Megan’s distance = 15 * (x-10)/60 = (x-10)/4

Since the distances are same, we simply equate both;

x/12 = (x-10)/4

4x = 12x-120

8x = 120

x = 120/8

X = 15 minutes

Now, checking the distance from the mall to the house, we can use Lisa’s work rate and that is 5mph * 15/60 = 5 * 1/4 = 5/4 = 1.25meters

If we had use Megan’s rate = 15 * 5/60 = 15/12 = 1.25 meters

Time taken for Megan to get to the mall is x-10 minutes = 15-10 = 5 minutes

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .