Answer:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Step-by-step explanation:
We are given the ratio:
Blue paint : Red paint =
8 : 5
Sum of proportion = 8 + 5 = 13
If the customer need 65 gallons of paint,
a) Number of gallons of blue paint needed =
8/13 × 65 gallons = 40 gallons
b) Number of gallons of red paint needed =
5/13 × 65 gallons = 25 gallons
Therefore:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Answer:
![\sqrt[4]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E5%7D)
Step-by-step explanation:
A fraction exponent converts into a radical. The denominator is the index of the radical (farthest left number) and the numerator is the exponent of the base inside (the farthest right number). The base of the fraction exponent is the base number in green. To write this expression, simply the exponents into one exponent and one base.
![x^{\frac{3}{4}}x^{\frac{1}{2} } =x^{\frac{3}{4}}x^{\frac{2}{4} } =x^{\frac{3+2}{4}} =x^{\frac{5}{4}}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B3%7D%7B4%7D%7Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3Dx%5E%7B%5Cfrac%7B3%7D%7B4%7D%7Dx%5E%7B%5Cfrac%7B2%7D%7B4%7D%20%7D%20%3Dx%5E%7B%5Cfrac%7B3%2B2%7D%7B4%7D%7D%20%3Dx%5E%7B%5Cfrac%7B5%7D%7B4%7D%7D)
Now convert to the radical.
![x^{\frac{5}{4}} = \sqrt[4]{x^5}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B4%7D%7D%20%3D%20%5Csqrt%5B4%5D%7Bx%5E5%7D)
3\4
because the spaces are bigger draw a model and you will see
Answer: Quest 1 final result. (I looked all this up)
(2x -1) * (5x squared - 2x + 6)
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4
I could not find the work for part two but I got the answer: x=3,7