Answer:
score = 63
Step-by-step explanation:
1. To write the proportion take the score of the test over the number of points and set it equal to the percent over 100
score 90
----------- = -----------
70 100
Using cross products
100 * score = 90*70
100 score = 6300
Divide by 100
100/100 * score = 6300/100
score = 63
![\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bx%7D%7B4x%2Bx%5E2%7D%5Cimplies%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%284%2Bx%29%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B4%2Bx%7D%5Cqquad%20%5C%7Bx%7Cx%5Cin%20%5Cmathbb%7BR%7D%2C%20x%5Cne%20-4%5C%7D)
if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.
Answer:
The answer is A, "Find the number of 1 foot cubes that fill the fish tank."
Step-by-step explanation:
You can find the answer by multiplying 3 x 3 x 5, which is 45. 45 1 foot cubes will fill the fish tank.
Answer:
-11/12
Step-by-step explanation:
Add 5/8+3/4 (6/8) which is 11/8 and then get -2/3 - 5/6 which simplifies to -3/2
Multiply -3/2 by 4 to get it to like terms
11/8 / -12/8
Multiply and then simplify.
If you need help, just comment!!
$1.3 per lemon. I divided 8 by $6 and got 1.3.