Let's just start with x=20 and then do some algebra to it to make it all complicated
x = 20
2 * x = 2 * 20
2x = 40
2x - 13 = 40 - 13
2x - 13 = 27
Answer: just add 75 and 45 + x and do division for 69 ok but times the 45 with 69 ok good luck
Step-by-step explanation:
Answer:
2108
Step-by-step explanation:
Divide 67,456 by 32, using long division.
1) How many times 32 go into 67? (2 times, with a remainder of 3)
2) Bring down the 4.
3) How many times does 32 go into 34? (1 time, with a remainder of 2)
4) Bring down the 5
5) How many times does 32 go into 25? (0 times, so write 0)
6) Bring down the 6.
7) How many times does 32 go into 256? ( 8 times, no remainder)
8) Your answer is 2108
Hi there!
Question 1:
For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:
![\frac{7}{8}-\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D-%5Cfrac%7B1%7D%7B4%7D)
Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is:
). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:
![\frac{7}{8}-\frac{1}{4}\cdot\frac{2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D-%5Cfrac%7B1%7D%7B4%7D%5Ccdot%5Cfrac%7B2%7D%7B2%7D)
![\frac{7}{8}-\frac{2}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D-%5Cfrac%7B2%7D%7B8%7D)
Now, subtracting the numerators, we get:
yards of string will remain.
Question 2:
For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:
![\frac{1}{4}+\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B7%7D%7B12%7D)
Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time:
). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:
![\frac{1}{4}\cdot\frac{3}{3}+\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Ccdot%5Cfrac%7B3%7D%7B3%7D%2B%5Cfrac%7B7%7D%7B12%7D)
![\frac{3}{12}+\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%2B%5Cfrac%7B7%7D%7B12%7D)
, which is equivalent to (dividing both the top and the bottom by 2)
inches.
Hope this helps!