Answer:
these are notes i wrote in geometry I'm not sure if this will help. it's been a few months since i did this
Step-by-step explanation:
x is the number.
(x + 5) - 2x : the sum of the number and 5 decreased by twice the number.
or simplified without the brackets
x + 5 - 2x = 5 - x
it is not clear if you need the general expression showing both conditions (the first up there), or the then simplified result
5 - x
There is only 1 number between 24 and 34 that contains a 7. Can you spot it?
24 25 26 27 28 29 30 31 32 33 34
let's first off, convert the mixed fraction to improper fraction, and then let's use the LCD of all denominators to do away with the denominators.
![\bf \stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{3}y+\cfrac{4}{5}=\cfrac{9}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{\textit{LCD}}{30}}{30\left( \cfrac{25}{3}y+\cfrac{4}{5} \right)=30\left( \cfrac{9}{10} \right)}\implies 10\cdot 25y+6\cdot 4=3\cdot 9 \\\\\\ 250y+24=27\implies 250y=3\implies y=\cfrac{3}{250}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B25%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B25%7D%7B3%7Dy%2B%5Ccfrac%7B4%7D%7B5%7D%3D%5Ccfrac%7B9%7D%7B10%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7B%5Ctextit%7BLCD%7D%7D%7B30%7D%7D%7B30%5Cleft%28%20%5Ccfrac%7B25%7D%7B3%7Dy%2B%5Ccfrac%7B4%7D%7B5%7D%20%5Cright%29%3D30%5Cleft%28%20%5Ccfrac%7B9%7D%7B10%7D%20%5Cright%29%7D%5Cimplies%2010%5Ccdot%2025y%2B6%5Ccdot%204%3D3%5Ccdot%209%20%5C%5C%5C%5C%5C%5C%20250y%2B24%3D27%5Cimplies%20250y%3D3%5Cimplies%20y%3D%5Ccfrac%7B3%7D%7B250%7D)
You do the following.
Take the price of the most expensive subscription and retract the price of the cheap one.
$50-$40 = $10
Since we know what the price of a text message and the difference in dollars between the two subscriptions, we can calculate how many text messages has to be sent. We just divide the result from before ($10) with the price of a text message ($0.2)
$10/$0.2 = 50
The total number of text messages that needs to be send in order for the price of the subscriptions to be the same, is 50.
