Answer:
–3x + 22
Step-by-step explanation:
x + 2(x – [3x – 8] + 3)
x + 2(x – 1[3x – 8] + 3)
x + 2(x – 1[3x] – 1[–8] + 3)
x + 2(x – 3x + 8 + 3)
x + 2(–2x + 11)
x + 2(–2x) + 2(+11)
x – 4x + 22
1x – 4x + 22
–3x + 22
1. We assume, that the number 320 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 320 is 100%, so we can write it down as 320=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 320=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
320/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 320
320/x=100/45
<span>(320/x)*x=(100/45)*x - </span>we multiply both sides of the equation by x
<span>320=2.22222222222*x - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>320/2.22222222222=x </span>
<span>144=x </span>
x=144
<span>now we have: </span>
<span>45% of 320=144</span>
Answer:
![\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20x%5E%7B%5Cfrac%7B5%7D%7B3%7D%7Dy%5E%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Given
![\sqrt[3]{x^{5}y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D)
Required
The equivalent expression
We have:
Rewrite as an exponent
![\sqrt[3]{x^{5}y} = (x^{5}y)^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20%28x%5E%7B5%7Dy%29%5E%5Cfrac%7B1%7D%7B3%7D)
Open bracket
![\sqrt[3]{x^{5}y} = x^{5*\frac{1}{3}}y^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20x%5E%7B5%2A%5Cfrac%7B1%7D%7B3%7D%7Dy%5E%5Cfrac%7B1%7D%7B3%7D)
The answer is 13.0 for the distance between Samantha and Mia after 1 hour.
The way to do this is by using PEMDAS. P (parentheses) E (exponents) M (multiplication) D (division) A (Addition) S (subtraction). The answer would be -1539
