Set up your conversion using dimensional analysis. That's just a fancy way of saying set up your values so you cancel what you don't need and keep what you do. If we want to convert miles per hour to feet per second, we need to convert the miles to feet using the fact that there are 5280 feet in 1 mile, and then convert the hours to seconds using the fact that there are 3600 seconds in an hour. Your set up will look like this (it's all about setting up the fractions correctly):
. If you look at that closely, you can see the there is a label of miles on the top in the first fraction and on the bottom in the second fraction. Those cancel each other out by reducing. Then in the bottom of the first fraction there is hours and in the top of the last fraction there is hours. Those cancel out. From top to bottom or bottom to top you can cancel like labels. This leaves us with feet in the top and seconds in the bottom. Now it's a matter of doing the math. You multiply straight across the top and straight across the bottom.
. Simplifying you get 46.933 feet per second.
Answer: 4 Cups
I think in order to solve this, you would need to add up the fractions that they used. So it would be,
Transform the Expressions
Calculate the sum
Reduce
Transform the Expression
Calculate
Reduce the Fraction

Please mark brainliest if this helped you :)
28 tries. The ratio is 5:7, so once you multiply 5 by 4 to get 20, you do the same to 7 to get 28.
Answer:
See below.
Step-by-step explanation:
Since sqrt(a) and sqrt(b) are in simplest radical form, that means a and b have no perfect square factors. When sqrt(a) and sqrt(b) are multiplied giving c * sqrt(d), the fact that c came out of the root means that there was c^2 inside the product sqrt(ab). This means that a and b have at least one common factor.
ab = c^2d
Example:
Let a = 6 and let b = 10.
sqrt(6) and sqrt(10) are in simplest radical form.
Now we multiply the radicals.
sqrt(a) * sqrt(b) = sqrt(6) * sqrt(10) = sqrt(60) = sqrt(4 * 15) = 2sqrt(15)
We have c = 2 and d = 15.
ab = c^2d
6 * 10 = 2^2 * 15
60 = 60
Our relationship between a, b and c, d works.
Answer:
Hope it helps!
Step-by-step explanation:
Sub y=5x into y=2x+3
so
5x=2x+3
3x=3
x=1
plug x=1 into y=5x
y=5
Checking work
Plug (1,5) into y=2x+3
5=2(1)+3
5=5
Plug (1,5) into y=5x
5=5(1)
5=5