Answer:
6
Step-by-step explanation:
We have two fractions and are asked to find the answer if they both are divided.
3/5 and 1/10.
When we divide fractions, we need to follow KCF
KEEP - Keep the fractions
CHANGE - Change the division sign to a multiplication sign
FLIP - Flip the second fraction
Follow :
KEEP :
3/5 / 1/10
CHANGE :
3/5 * 1/10
FLIP :
3/5 * 10/1
Now we need to multiply, which is simple because it's multiplying across :
30/5
Simplify by dividing the numerator and denominator by 5 :
Divide the numerator by denominator :
Answer:
38
Step-by-step explanation:
Formula
multiply the volume value by 8
Answer:
50 blocks
Step-by-step explanation:
First of all, you need to label you're proportions, which can be mm/blocks.
Then, for 1 block, it is 20 mm because the block is 2 cm, which is equal to 20 mm. So for you're proportion, it is 20 mm/1 block.
Finally, you need to find the total amount of blocks that equals 1000 mm. So you can multiply the 20 mm by 50 to get the 1000 mm. What you do at the top, you do at the bottom, so you also have to do 1 block by 50 to get 50 blocks
So for you're final answer/proportion, it is mm/blocks = 20/1 = 1000/50 and you're final answer is 50 blocks
Hope this helps : )
If you have 2 functions, f(x) and g(x), you would find f(g(x)) and g(f(x)). If, after you simplify both and you end up with just "x" as the answer, they are inverses of each other. For example, f(x) = 3x - 2 and g(x) = (x+2)/3
f(g(x)) takes the g function and plugs it into the x in the f function, like this:
![f(g(x))=3[ \frac{(x+2)}{3} ]-2](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D3%5B%20%5Cfrac%7B%28x%2B2%29%7D%7B3%7D%20%5D-2%20)
cancel out the 3's to get
f(g(x))=(x+2)-2 which is just x. Now do it the other way: g(f(x))
![g(f(x))= \frac{[(3x-2)+2]}{3}](https://tex.z-dn.net/?f=g%28f%28x%29%29%3D%20%5Cfrac%7B%5B%283x-2%29%2B2%5D%7D%7B3%7D%20)
3x-2+2 is 3x, so we have
See?
