There are 20 cassettes.
Step-by-step explanation:
Given,
Ratio of cassette to compact disc = 10:3
Let,
the number of cassettes = 10x
Number of compact disc = 3x
According to given statement;
the number of cassettes is 10 less than 5 times the number of compact discs.
10x = 5(Number of CD) - 10
![10x=3(5x)-10 \\10x=15x-10\\10=15x-10x\\10=5x\\5x=10](https://tex.z-dn.net/?f=10x%3D3%285x%29-10%20%5C%5C10x%3D15x-10%5C%5C10%3D15x-10x%5C%5C10%3D5x%5C%5C5x%3D10)
Dividing both sides by 5
![\frac{5x}{5}=\frac{10}{5}\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%3D%5Cfrac%7B10%7D%7B5%7D%5C%5Cx%3D2)
Number of cassettes= 10x = 10(2) = 20
There are 20 cassettes.
Keywords: variable, ratio
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Answer:
1 2/3 + 5 3/6 = 7 1/6
Step-by-step explanation:
First, you take the 3 in 2/3 and multiply it by 2. Then you do the same with the 2 in 2/3. You should end up with 1 4/6. Next, you add 4 and 3 to get 7. Since 7 is 1 greater than 6, you add 1 to 5 + 1 and get 7. Also, since you had 1 leftover, your new fraction is 1/6. So the answer is 7 1/6. Hope this helped :)
-7x + 3y = 30
-7(0) + 3y = 30
0 + 3y = 30
3y = 30
/3 /3
y = 10 when x=0