Answer:
Non Proportional
Step-by-step explanation:
Make a proportion:
For example say you want to test out how many bottles of water you can buy for $10
Proportion:
4 - 6
10 - ?
Solve: 10×6÷4=15
So technically, you could only get 15 bottles for $10. Therefore, this is a non proportional problem.
Subtract z from the right side so that it becomes... u - z = vw
Then all you do is divide the right side of the equation(or equals sign) by w because your goal is to get whatever you're solving for by itself.
Your answer, then, is... u-z/w = v
Answer:
The solution is:
![-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}](https://tex.z-dn.net/?f=-7r-4%5Cge%20%5C%3A%5C%3A4r%2B2%5Cquad%20%5C%3A%3A%5Cquad%20%5C%3A%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-0.54545%5Cdots%20%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%5C%3A%2C%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5D%5Cend%7Bbmatrix%7D)
Please check the attached line graph below.
Step-by-step explanation:
Given the expression
Add 4 to both sides
Simplify
Subtract 4r from both sides
Simplify
Multiply both sides by -1 (reverses the inequality)
Simplify
Divide both sides by 11
Simplify
Therefore, the solution is:
Please check the attached line graph below.
Answer:
a) x = 2
b) x = 4
Step-by-step explanation:
a = (b₁ + b₂)/2 * h
----------------------------
a)
48 = (10 + x)/2 * 8
Divide both sides by 8
6 = (10 + x)/2
multiply both sides by 2
12 = 10 + x
Subtract 10 from both sides
2 = x
x = 2
---------------------------------
b)
18 = (7 + 2)/2 * x
18 = 4.5 * x
divide both sides by 4.5
4 = x
x = 4
Answer:
d = 16
Step-by-step explanation:
15 = d-1
Add 1 to each side
15 +1 =d-1+1
16 =d
