
The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):
Parenthesis (or Brackets)
Exponents
Multiplication and Division
Addition and Subtraction
My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.
So:
![4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12](https://tex.z-dn.net/?f=4%20-%205%20%2F%202%20%2A%20%28%5Cfrac%7B1%7D%7B10x%7D%29%20%20%3D%201%5C%5C%5C%5C4%20-%20%5B%285%2F2%29%2A%28%5Cfrac%7B1%7D%7B10x%7D%29%5D%3D1%5C%5C%5C%5C4-%282.5%2A%5Cfrac%7B1%7D%7B10x%7D%29%3D1%5C%5C%5C%5C4-%5Cfrac%7B2.5%7D%7B10x%7D-1%3D0%5C%5C3-%5Cfrac%7Bx%7D%7B4%7D%3D0%5C%5C%5Cfrac%7Bx%7D%7B4%7D%3D3%5C%5Cx%3D3%2A4%5C%5Cx%3D12)
We check our answer:
![x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1](https://tex.z-dn.net/?f=x%3D12%5C%5C4%20-%20%5B%285%20%2F%202%29%20%2A%20%281%2F10%29%2A%28x%29%5D%20%3D%201%5C%5C4%20-%20%5B%285%20%2F%202%29%20%2A%20%28%5Cfrac%7B1%7D%7B10%7D%29%20%2A%20%2812%29%29%5D%20%3D%201%5C%5C4%20-%20%5B2.5%20%2A%20%28%5Cfrac%7B1%7D%7B10%7D%29%2A12%5D%20%3D%201%5C%5C4%20-%20%5B%28%5Cfrac%7B2.5%7D%7B10%7D%29%2A12%5D%20%3D%201%5C%5C4%20-%20%5B%28%5Cfrac%7B1%7D%7B4%7D%29%2A12%5D%20%3D%201%5C%5C4%20-%203%20%3D%201%5C%5C1%3D1)
We are right!
So,
.
<h3>
Answer: UF = 11</h3>
=======================================================
Explanation:
In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU
So EU/VU is one ratio
The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW
Set the ratios equal to each other and solve for x
EU/VU = UF/UW
7/35 = x/55
7*55 = 35*x ... cross multiply
385 = 35x
35x = 385
x = 385/35 .... divide both sides by 35
x = 11
UF = 11
------------
Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7
That must mean WU = 55 must also be 5 times larger compared to UF = x
So,
WU = 5*UF
55 = 5x
5x = 55
x = 55/5
x = 11
UF = 11
This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.
Answer:
Sue was the tallest.
Step-by-step explanation:
Sally = 65 3/4 --> 65 6/8
<h2>Sue = <u>65 7/8</u></h2>
Joe = 65 1/2 --> 65 4/8
Answer:
4x=80 and 5x=100
Step-by-step explanation:
4x+5x=180
9x=180
1/9 (9x)=1/9 (180)
x=20
4(20)=80
5(20)=100
Answer:
20 gmaes in all
Step-by-step explanation:
14/x = 70%
x = 14/70%