Answer:
$3.16
Step-by-step explanation:
Divide
add
Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.
We need to determine the percentage of cacao in hot chocolate.
<u>The percentage of cacao:</u>
The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.
Total grams of hot chocolate = Grams of Milk + Grams of cacao
Total grams of hot chocolate = 480 + 20 = 500 grams.
Thus, the total grams of hot chocolate is 500 grams.
Now, we shall find the percentage of cacao.
The percentage of cacao is given by

Simplifying, the values, we get,

Thus, the percentage of cacao is 4%
Answer:
Hello,
in order to simplify, i have taken the inverses functions
Step-by-step explanation:
![\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B2%7D%20_%7B-1%7D%20%7B%28-2x%5E2-x%2B1%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%5B%5Cfrac%7B-2x%5E3%7D%7B3%7D%20-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%2Bx%5D%5E%5Cfrac%7B1%7D%7B2%7D%20_%7B-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-2-3%2B12%7D%7B24%7D%20-%5Cdfrac%7B-5%7D%7B6%7D%20%5C%5C%5C%5C%5Cboxed%7B%3D%5Cdfrac%7B9%7D%7B8%7D%20%3D1.25%7D%5C%5C)
The first step for solving this expression is to distribute

through the first set of parenthesis.

× (x - 9)
Now use the FOIL method to multiply each term in the first parenthesis by each term in the second parenthesis. This will look like the following:

x × x -

x × 9 -

x -

× (-9)
Remember that multiplying two negatives together equals a positive,, so the expression changes to:

x × x -

x × 9 -

x +

× 9
Calculate the product of all of the sets of multiplication to make the expression become:

x² -

x -

x +

Lastly,, calculate the difference of -

x -

x to find your final answer.

x² -

x +

Let me know if you have any further questions.
:)
Chris is going 10 mph. After 9 hours, Chris has gone 90 miles. Elena is going 14 mph. After 9 hours, she has gone 126 miles. 126 miles is 36 miles more then 90 miles.