The answer is 4.5, since 1 & 8 are in the middle you add those two numbers and divide by two so 1+8=9 and 9/2=4.5
(1)
pounds of soil (2)
(3) 33
Solution:
(1) Number of pots = 5
Quantity of soil each pot can hold =
pounds
Quantity of soil need to fill all the pots = ![5\times \frac{3}{8}](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cfrac%7B3%7D%7B8%7D)
=
pounds
=
pounds
Therefore,
pounds of soil need to fill all of the pots.
(2) To find the product of
and
.
Let us first convert the mixed fraction into improper fraction.
![4\frac{2}{3}\times3\frac{3}{4}=\frac{(4\times3)+2}{3}\times\frac{(3\times4)+3}{4}](https://tex.z-dn.net/?f=4%5Cfrac%7B2%7D%7B3%7D%5Ctimes3%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B%284%5Ctimes3%29%2B2%7D%7B3%7D%5Ctimes%5Cfrac%7B%283%5Ctimes4%29%2B3%7D%7B4%7D)
![=\frac{14}{3}\times\frac{15}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B14%7D%7B3%7D%5Ctimes%5Cfrac%7B15%7D%7B4%7D)
![=\frac{210}{12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B210%7D%7B12%7D)
This can be simplified. Divide both numerator and denominator by 6.
![=\frac{35}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B35%7D%7B2%7D)
![4\frac{2}{3}\times3\frac{3}{4}=\frac{35}{2}](https://tex.z-dn.net/?f=4%5Cfrac%7B2%7D%7B3%7D%5Ctimes3%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B35%7D%7B2%7D)
(3) To evaluate the expression 12x + 6 for
.
Let us first convert the mixed fraction into improper fraction.
![x=\frac{(2\times4)+1}{4}=\frac{9}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%282%5Ctimes4%29%2B1%7D%7B4%7D%3D%5Cfrac%7B9%7D%7B4%7D)
![12x+6=12(\frac{9}{4})+6](https://tex.z-dn.net/?f=12x%2B6%3D12%28%5Cfrac%7B9%7D%7B4%7D%29%2B6)
![=(\frac{108}{4})+6](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B108%7D%7B4%7D%29%2B6)
![=27+6](https://tex.z-dn.net/?f=%3D27%2B6)
12x + 6 = 33
About 27.5 percent so B is the correct answer