1/3- just remember dilation always has a scale factor than is either multiplied or divided. Here you see the x coordinate in A go from 3 to 1 in A’ so the scale factor is 1/3
7/8 gallons in 1/2 hour
Looking for gallons per hour, or
![\frac{gallons}{hour}](https://tex.z-dn.net/?f=%5Cfrac%7Bgallons%7D%7Bhour%7D)
.
So, this is basically a division problem of 7/8 divided by 1/2. Dividing by a fraction is the same as multiplying by that fraction's reciprocal.
![\frac{7/8}{1/2}\frac{gallons}{hour}](https://tex.z-dn.net/?f=%5Cfrac%7B7%2F8%7D%7B1%2F2%7D%5Cfrac%7Bgallons%7D%7Bhour%7D)
![\frac{\frac{7}{8}}{\frac{1}{2}} = \frac{7}{8} * \frac{2}{1} = \frac {7}{8} * 2 = \frac{14}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B7%7D%7B8%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%3D%20%5Cfrac%7B7%7D%7B8%7D%20%2A%20%5Cfrac%7B2%7D%7B1%7D%20%3D%20%5Cfrac%20%7B7%7D%7B8%7D%20%2A%202%20%3D%20%5Cfrac%7B14%7D%7B8%7D)
Now we simplify by a factor of 2:
![\frac{14}{8} = \frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B8%7D%20%3D%20%5Cfrac%7B7%7D%7B4%7D)
And here we are! There are 7/4 gallons leaking per hour. This is the same as 1.75 gallons per hour. Hope this helps! :)
Answer:
4230
Step-by-step explanation:
Answer:
shirts = 15 when pants = 6
15
Step-by-step explanation:
Try two others that are given
shirts / pants = 10 / 4 = 2.5
shirts / pants = 30/12 = 2.5
So shirts/pants = 2.5 = x/6
2.5 = x / 6 Multiply by 6
2.5 * 6 = x
x = 15
8239016264.44832 is the answer