Answer:
5 1/3
Step-by-step explanation:
Set up ratio.
2/3 cup orange juice X 2 cups pineapple juice
———————————-
1/4 cup pineapple juice
first multiply numerator : 2/3 x 2 = 4/3
and divide by denominator
(4/3)/(1/4). Keep the first. Change the sign to multiplication and Flip the second fraction.
4/3 x 4/1 = 16/3
change to proper fraction : 16/3 = 5 1/3 cups
You need to calculate 35% of 400.
The way I do this on paper is I split it up into chunks and then add the chunks together.
First I would calculate 10%. To do this, divide 400 by 10, because to get from 100% to 10% you must divide by 10.
So 10% = 40
You need 30%, so you just multiply by 3, because to get from 10% to 30%, you multiply by 3.
So 30% = 120
5% is half of 10% so half of 40 is 20.
So 5% = 20
30% + 5% = 35%
120 + 20 = 140
So they had traveled 140 miles when Joshua fell asleep. Hope this helps :)
We are asked to perform the long division on the following expression.

Let us perform the long division.
So, we have
Quotient: q(x) = 19x^2 - 24x + 30
Remainder: r(x) = -32
Divisor: b(x) = x + 1
Therefore, the equivalent expression is

The 3rd option is the correct answer.
Answer:
The range is 5.
Step-by-step explanation:
You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9