Dividing by a fraction means the same as multiplying by its reciprocal.
In other words, change the division sign to multiplication
and flip or take the reciprocal of the second fraction.
So we can rewrite 2/13 ÷ 1/6 as 2/13 × 6/1.
Now multiply across the numerators and denominators to get 12/13.
Answer: AB is 15
Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:
5x-15+3x-5=28
Add like terms:
8x-20=28
Add 20 to both sides
8x=48
Divide by 8
x=6
Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15
5(6)-15
30-15
AB=15
Leslie did. If you multiply 4/5 by two, you get 8/10. 8/10 is greater than 7/10.
Answer: m=6, m=-4
Step-by-step explanation:
To solve this proportion, we have to cross multiply.
![\frac{m-3}{7} =\frac{m}{m+8}](https://tex.z-dn.net/?f=%5Cfrac%7Bm-3%7D%7B7%7D%20%3D%5Cfrac%7Bm%7D%7Bm%2B8%7D)
![(m-3)(m+8)=7m](https://tex.z-dn.net/?f=%28m-3%29%28m%2B8%29%3D7m)
Now that we have cross multiplied, we actually need to FOIL the left side to expand the equation.
![m^2+8m-3m-24=7m](https://tex.z-dn.net/?f=m%5E2%2B8m-3m-24%3D7m)
Combine like terms.
![m^2+5m-24=7m](https://tex.z-dn.net/?f=m%5E2%2B5m-24%3D7m)
We can move all terms to one side and then solve for m.
![m^2-2m-24=0](https://tex.z-dn.net/?f=m%5E2-2m-24%3D0)
We can actually factor this to:
![(m-6)(m+4)=0](https://tex.z-dn.net/?f=%28m-6%29%28m%2B4%29%3D0)
We set each factor equal to 0 to find m.
m-6=0
m=6
m+4=0
m=-4
Answer:
B
Step-by-step explanation: