Answer:
x = -1
Step-by-step explanation:
Step 1: Write equation
-4(-5x + 2) - 3x - 5 = -30
Step 2: Solve for <em>x</em>
<u>Distribute -4:</u> 20x - 8 - 3x - 5 = -30
<u>Combine like terms:</u> 17x - 13 = -30
<u>Add 13 on both sides:</u> 17x = -17
<u>Divide both sides by 17:</u> x = -1
In order to divide $306 into the ratio of 9 to 5 to 3, first you have to make each section of the ratio represented by a variable, and put it into an equation.
9x + 5x + 3x = 306
Our next step is to simplify the left side of the equation by combining all of the like terms, the ones that contain variables.
17x = 306
Finally, to solve this equation, you have to divide both sides by 17 to isolate the variable x on the left side of the equation.
x = 18
However, this is not our answer as it isn't in a ratio format and doesn't really make sense. To find our ratio, we have to multiply each of our initial numbers (9, 5, and 3) by our variable, x.
9 * 18 = 162
5 * 18 = 90
3 * 18 = 54
You can verify that these numbers are correct because if you add them together you get 306.
Your final ratio is 162:90:54.
Hope this helps! :)
If you have a separate specific question about pre-tax prices and PMed me the link, I'd be happy to help you.
Answer:
21 times 21
Step-by-step explanation:
Answer: 
.
Step-by-step explanation:
Given problem : 
First we convert mixed fraction into improper fractions as
Now , plug these values in the given expression , we get
![\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)=-\dfrac{35}{6}\div\left(-\dfrac{49}{10}\right)\\\\=\dfrac{-35}{6}\times\dfrac{-10}{49}\ \ \ [\text{By Property of fraction}]\\\\=\dfrac{350}{294}\\\\=\dfrac{25}{21}=1\dfrac{4}{21}](https://tex.z-dn.net/?f=%5Cleft%28-5%5Cdfrac%7B5%7D%7B6%7D%5Cright%29%5Cdiv%5Cleft%28-4%5Cdfrac%7B9%7D%7B10%7D%5Cright%29%3D-%5Cdfrac%7B35%7D%7B6%7D%5Cdiv%5Cleft%28-%5Cdfrac%7B49%7D%7B10%7D%5Cright%29%5C%5C%5C%5C%3D%5Cdfrac%7B-35%7D%7B6%7D%5Ctimes%5Cdfrac%7B-10%7D%7B49%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20Property%20of%20fraction%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B350%7D%7B294%7D%5C%5C%5C%5C%3D%5Cdfrac%7B25%7D%7B21%7D%3D1%5Cdfrac%7B4%7D%7B21%7D)
Hence, the answer is .
