Uh
Are you talking about long multiplication? If so, I found this picture online that might help...
The answer choices are not posted, but this is how you calculate the answer. Multiply $5.29 per yard by the total number of yards purchased.
= $5.29 per yard * 16.3 yards= $86.227
*or $86.23 rounded to the hundredths place
ANSWER: The exact answer is $86.227 for 16.3 yards. Not knowing the answer choices, you could estimate to $86.00, you could estimate to $86.23, you could even estimate to $90.00.
Hope this helps! :)
Answer:
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
Step-by-step explanation:
The original expression in this problem is
![5(\frac{1}{3}x+7)-3(\frac{1}{2}x-4)](https://tex.z-dn.net/?f=5%28%5Cfrac%7B1%7D%7B3%7Dx%2B7%29-3%28%5Cfrac%7B1%7D%7B2%7Dx-4%29)
We start by applying the distributive property and multiplying each factor outside the brackets by each factor inside:
![5\cdot \frac{1}{3}x+5\cdot 7 -3\cdot \frac{1}{2}x+3\cdot 4](https://tex.z-dn.net/?f=5%5Ccdot%20%5Cfrac%7B1%7D%7B3%7Dx%2B5%5Ccdot%207%20-3%5Ccdot%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%5Ccdot%204)
So we get:
![\frac{5}{3}x+35-\frac{3}{2}x+12](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7Dx%2B35-%5Cfrac%7B3%7D%7B2%7Dx%2B12)
Now we can rewrite this using mixed fractions:
(1)
Which can be also written as
(2)
And finally, by solving it, we find
(3)
So the three correct options are
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
I think its the 3rd option
The volume of the cylinder is ![1539 cm^3](https://tex.z-dn.net/?f=1539%20cm%5E3)
Step-by-step explanation:
The volume of a cylinder is given by the equation
![V=\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h)
where
is the area of the base, with r being the radius
h is the height
For the cylinder in this problem we know:
h = 10 cm (height)
c = 44 cm (circumference of the base)
The circumference is given by
![c=2\pi r](https://tex.z-dn.net/?f=c%3D2%5Cpi%20r)
So the radius is
![r=\frac{c}{2\pi}=\frac{44}{2\pi}=7 cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bc%7D%7B2%5Cpi%7D%3D%5Cfrac%7B44%7D%7B2%5Cpi%7D%3D7%20cm)
Therefore, the volume of the cylinder is:
![V=\pi (7)^2 (10)=1539 cm^3](https://tex.z-dn.net/?f=V%3D%5Cpi%20%287%29%5E2%20%2810%29%3D1539%20cm%5E3)
Learn more about volume of a solid:
brainly.com/question/12497249
#LearnwithBrainly