Answer:
![=\frac{4x+12}{7y-28}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4x%2B12%7D%7B7y-28%7D)
Step-by-step explanation:
Four times a number (let's call this x) is added to twelve. In other words, this is:
![4x+12](https://tex.z-dn.net/?f=4x%2B12)
Now, this <em>entire</em> thing is divided by seven times a different number (let's use y) minus twenty-eight. So:
![(4x+12)\div (7y-28)](https://tex.z-dn.net/?f=%284x%2B12%29%5Cdiv%20%287y-28%29)
Let's put it into a fraction to simplify. Remember that dividing something by something else is the same as putting it over fraction. Thus:
![=\frac{4x+12}{7y-28}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4x%2B12%7D%7B7y-28%7D)
And we're done!
Answer:
x
≥
7
Step-by-step explanation:
2x
-9 ≥ 5
+9
x
≥ 14
14/2
=7
x
≥
7
x*3-5=40
x*3-5+5=40+5
x*3=45
x*3/3=45/3
x=15
Therefore, the number is 15.
Hey i took this and i got a hundred so :) 1) 3.2 and
2) 10.9
3) 15
4)27
hope this helped you :)
The formula after making h the subject of formula is: ![h=\frac{5d^2}{4}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B5d%5E2%7D%7B4%7D)
Further explanation:
Given formula is:
![d=\sqrt{\frac{4h}{5}}\\](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cfrac%7B4h%7D%7B5%7D%7D%5C%5C)
Making any variable subject of any formula means that the concerned variable should be isolated on one side of the formula. Which means it will be a dependent quantity.
So,
First of all we have to take the h out of the square root
So,
![Taking\ square\ on\ both\ sides\\(d)^2=(\sqrt{\frac{4h}{5}})^2\\d^2=\frac{4h}{5}\\Multiplying\ both\ sides\ by\ 5\\5d^2=\frac{4h}{5}*5\\5d^2=4h\\Dividing\ both\ sides\ by\ 4\\\frac{5d^2}{4}=\frac{4h}{4}\\h=\frac{5d^2}{4}](https://tex.z-dn.net/?f=Taking%5C%20square%5C%20on%5C%20both%5C%20sides%5C%5C%28d%29%5E2%3D%28%5Csqrt%7B%5Cfrac%7B4h%7D%7B5%7D%7D%29%5E2%5C%5Cd%5E2%3D%5Cfrac%7B4h%7D%7B5%7D%5C%5CMultiplying%5C%20both%5C%20sides%5C%20by%5C%205%5C%5C5d%5E2%3D%5Cfrac%7B4h%7D%7B5%7D%2A5%5C%5C5d%5E2%3D4h%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%204%5C%5C%5Cfrac%7B5d%5E2%7D%7B4%7D%3D%5Cfrac%7B4h%7D%7B4%7D%5C%5Ch%3D%5Cfrac%7B5d%5E2%7D%7B4%7D)
So,
The formula after making h the subject of formula is: ![h=\frac{5d^2}{4}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B5d%5E2%7D%7B4%7D)
Keywords: Formulas, Subject of Formulas
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