Using a system of equations, it is found that £52 was originally shared.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: Angela's share.
- Variable y: Michelle's share.
- Variable z: Daniel's share.
Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:
.
Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:
30t = 20 x 78
t = 20 x 78/30
t = £52.
More can be learned about a system of equations at brainly.com/question/24342899
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In the expression f(x)=23, x is not a variable. f(x) means “a function of x” or “f of x” and is in practice another way of substituting for the variable y, that is, we are saying:
y=23.
That means x is unspecified and could be anything. So on the xy plane, this is a straight horizontal line, 23 units above the x axis. That would be the best way to interpret this, although it is a little ambiguous.
Usually functions of x are expressed in terms of x, such as:
f(x) = x^2
Answer:
I believe it would be 12x cm. I'm not really sure but I tried lol
the can is 5 inches tall, so its height is 5 inches, so 3 inches off 5 inches that'd be 3/5.
the can has a diameter of 0.8 inches, meaning it has a radius of half that, or 0.4 inches.
if say the volume of iced-tea is V, how much is 3/5 of V? well, is just their product.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=0.4\\ h=5 \end{cases}\implies V=\pi (0.4)^2(5)\implies V=0.8\pi \\\\\\ \stackrel{\textit{and 3/5 of that will be}}{\cfrac{3}{5}\cdot 0.8\pi }\implies V\approx \stackrel{in^3}{1.51}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%20V%3D%5Cpi%20r%5E2%20h~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D0.4%5C%5C%20h%3D5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Cpi%20%280.4%29%5E2%285%29%5Cimplies%20V%3D0.8%5Cpi%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Band%203%2F5%20of%20that%20will%20be%7D%7D%7B%5Ccfrac%7B3%7D%7B5%7D%5Ccdot%200.8%5Cpi%20%7D%5Cimplies%20V%5Capprox%20%5Cstackrel%7Bin%5E3%7D%7B1.51%7D)
