If I am correct the answer is 369,600 feet per hour.
<h2>
Hello!</h2>
The answers are:
A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
<h2>
Why?</h2>
To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.
We are given two fractions that are like fractions. Those fractions are:
Option A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
We have that:
![\frac{10}{12}=\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D%3D%5Cfrac%7B5%7D%7B6%7D)
So, we have that the pairs of numbers
and
![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.
Option D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
We have that:
![1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D%3D1%2B%5Cfrac%7B5%7D%7B7%7D%3D%5Cfrac%7B7%2B5%7D%7B7%7D%3D%5Cfrac%7B12%7D%7B7%7D)
So, we have that the pair of numbers
and
![\frac{12}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B7%7D)
Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.
Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.
The other options are:
![\frac{3}{2},\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%2C%5Cfrac%7B2%7D%7B3%7D)
and
![3\frac{1}{2},4\frac{4}{4}](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B2%7D%2C4%5Cfrac%7B4%7D%7B4%7D)
We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.
Hence, the answers are:
A.
and ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
D.
and ![1\frac{5}{7}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B7%7D)
Have a nice day!
Answer: x=1/2
she was wrong, it's supposed to be
Step-by-step explanation: 8(x−3)+7=2x(4−17)
Step 1: Simplify both sides of the equation.
8(x−3)+7=2x(4−17)
(8)(x)+(8)(−3)+7=2x(4−17)(Distribute)
8x+−24+7=−26x
(8x)+(−24+7)=−26x(Combine Like Terms)
8x+−17=−26x
8x−17=−26x
Step 2: Add 26x to both sides.
8x−17+26x=−26x+26x
34x−17=0
Step 3: Add 17 to both sides.
34x−17+17=0+17
34x=17
Step 4: Divide both sides by 34.
34x/34=17/34 x=1/2