Answer:
![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
The given expression is:
![\frac{3m-6}{4m+12} \cdot \frac{m^2+5m+6}{m^2-4}](https://tex.z-dn.net/?f=%5Cfrac%7B3m-6%7D%7B4m%2B12%7D%20%5Ccdot%20%5Cfrac%7Bm%5E2%2B5m%2B6%7D%7Bm%5E2-4%7D)
We factor to get:
![\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+2)(m+3)}{(m-2)(m+2)}](https://tex.z-dn.net/?f=%5Cfrac%7B3%28m-2%29%7D%7B4%28m%2B3%29%7D%20%5Ccdot%20%5Cfrac%7B%28m%2B2%29%28m%2B3%29%7D%7B%28m-2%29%28m%2B2%29%7D)
Cancel out the common factors to get:
![\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+3)}{(m-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B3%28m-2%29%7D%7B4%28m%2B3%29%7D%20%5Ccdot%20%5Cfrac%7B%28m%2B3%29%7D%7B%28m-2%29%7D)
We cancel further to get:
![\frac{3(m-2)}{4(m+3)} \cdot\frac{(m+3)}{(m-2)}=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%28m-2%29%7D%7B4%28m%2B3%29%7D%20%5Ccdot%5Cfrac%7B%28m%2B3%29%7D%7B%28m-2%29%7D%3D%5Cfrac%7B3%7D%7B4%7D)
The correct chice is B.
$6x$5=$30
$50-$30=$20
So 5 books?
Or
50=6x5+x
x=20
Answer:
because entries in the table are frequency counts, the table is a frequency table. Entries in the total row and total column are called marginal frequencies or the marginal distribution
Answer:
In terms of pi: 243![\pi](https://tex.z-dn.net/?f=%5Cpi)
in decimal form: 763.407
Step-by-step explanation:
to find surface area of a hemisphere the formula is,
![3\pi r^{2}](https://tex.z-dn.net/?f=3%5Cpi%20r%5E%7B2%7D)
diameter (d) = 18
radius = d / 2 = 18 / 2
radius = 9
![3\pi (9)^{2} \\3\pi (81)\\243\pi \\OR\\763.407](https://tex.z-dn.net/?f=3%5Cpi%20%289%29%5E%7B2%7D%20%5C%5C3%5Cpi%20%2881%29%5C%5C243%5Cpi%20%5C%5COR%5C%5C763.407)
Answer:
Step-by-step explanation:
![\frac{8}{11}(n-10)=64\\\\\frac{8(x-10)}{11}=64\\ 8(x-10) = 64(11)\\8(x-10) = 704\\8x-80 = 704\\8x= 704+80\\8x=784\\\\\frac{8x}{8}=\frac{784}{8} \\x=98](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B11%7D%28n-10%29%3D64%5C%5C%5C%5C%5Cfrac%7B8%28x-10%29%7D%7B11%7D%3D64%5C%5C%208%28x-10%29%20%3D%2064%2811%29%5C%5C8%28x-10%29%20%3D%20704%5C%5C8x-80%20%3D%20704%5C%5C8x%3D%20704%2B80%5C%5C8x%3D784%5C%5C%5C%5C%5Cfrac%7B8x%7D%7B8%7D%3D%5Cfrac%7B784%7D%7B8%7D%20%20%5C%5Cx%3D98)