Hello
So the question ask to simplify the said equation. In getting its answer base on that equation you must first factor out each of them then find out the common of them to cancel them out that could lead you to your answer. In my calculation, the answer is D. 8 open parentheses x plus 4 close parentheses over quantity x minus 6. I hope this would help you
Have a nice day
The values of x and y are 0.2 and 0.4 respectively.
<em><u>Explanation</u></em>
The given proportions are.....
and ![y:1.5=0.2:0.75](https://tex.z-dn.net/?f=y%3A1.5%3D0.2%3A0.75)
From the second proportion, we will get....
![y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4](https://tex.z-dn.net/?f=y%3A1.5%3D0.2%3A0.75%5C%5C%20%5C%5C%20%5Cfrac%7By%7D%7B1.5%7D%3D%5Cfrac%7B0.2%7D%7B0.75%7D%20%5C%5C%20%5C%5C%200.75y%3D0.2%2A1.5%5C%5C%20%5C%5C%200.75y%3D0.3%5C%5C%20%5C%5C%20y%3D%5Cfrac%7B0.3%7D%7B0.75%7D%3D0.4)
Now, we will plug this
into the first proportion. So we will get....
![x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2](https://tex.z-dn.net/?f=x%3A%201%5Cfrac%7B2%7D%7B3%7D%3Dy%3A%203%5Cfrac%7B1%7D%7B3%7D%5C%5C%20%5C%5C%20x%3A%20%5Cfrac%7B5%7D%7B3%7D%3D0.4%3A%5Cfrac%7B10%7D%7B3%7D%20%5C%5C%20%5C%5C%20%5Cfrac%7Bx%7D%7B%5Cfrac%7B5%7D%7B3%7D%7D%3D%20%5Cfrac%7B0.4%7D%7B%5Cfrac%7B10%7D%7B3%7D%7D%5C%5C%20%5C%5C%20%5Cfrac%7B3x%7D%7B5%7D%3D%5Cfrac%7B1.2%7D%7B10%7D%5C%5C%20%5C%5C%2030x%3D6%5C%5C%20%5C%5C%20x%3D%20%5Cfrac%7B6%7D%7B30%7D%3D0.2)
So, the values of x and y are 0.2 and 0.4 respectively.
If Sa=2πrh+2π
v=π
then the surface area is π
and volume is
(rh-2h)/2r.
Given Sa=2πrh+2π
=π
.
We have to find surface area and volume from the given expression.
Volume is basically amount of substance a container can hold in its capacity.
First we will find the value of v from the expression. Because they are in equal to each other, we can easily find the value of v.
2πrh+2π
v=π
h
Keeping the term containing v at left side and take all other to right side.
2π
v=π
-2πrh
v=(π
h-2πrh)/2π![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
v=π
/2π
-2πrh/2π![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
v=h/2-h/r
v=h(r-2)/2r
Put the value of v in Sa=2πrh+2π![r^{2} v](https://tex.z-dn.net/?f=r%5E%7B2%7D%20v)
Sa=2πrh+2π
*h(r-2)/2r
=2πrh+2πrh(r-2)/2
=2πrh+πrh(r-2)
=2πrh+π
h-2πrh
=π
h
Hence surface area is π
h and volume is h(r-2)/2.
Learn more about surface area at brainly.com/question/16519513
#SPJ4
Answer:
x=8a
Step-by-step explanation:
(3/a) x - 4 = 20
add 4 to both sides
(3/a) x = 24
Divide by 3/a
x = 24 / (3/a)
Use KCF (keep change flip)
x = (24/1) x (a/3)
x = 24a / 3
simplify
x = 8a