Answer:
35y - 67
Step-by-step explanation:
8(5y - 8) - (5y + 3)
Multiply the 8 with what is in the parentheses.
40y - 64 - 5y + 3
Subtract like terms.
35y - 67
Answer:
The volume of the sphere is 288π or 904.778 cubic inches.
Step-by-step explanation:
![given \\ diameter \: of \: sphere \: = 12 \: inches \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{12}{2} = 6 \: inches \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi \: {6}^{3} \\ \\ volume \: of \: sphere = \frac{4}{3} \pi \times 216 \\ \: \: = 4\pi \times 72 \\ \: \: = 288\pi \\ \: \: = 904.778 \: cubic \: inches](https://tex.z-dn.net/?f=given%20%5C%5C%20diameter%20%5C%3A%20of%20%5C%3A%20sphere%20%5C%3A%20%20%3D%2012%20%5C%3A%20inches%20%5C%5C%20radius%20%5C%3A%20of%20%5C%3A%20sphere%20%5C%3A%20%20%3D%20%20%5Cfrac%7Bdiameter%7D%7B2%7D%20%20%5C%5C%20radius%20%5C%3A%20%20%3D%20%20%5Cfrac%7B12%7D%7B2%7D%20%20%3D%206%20%5C%3A%20inches%20%5C%5C%20volume%20%5C%3A%20of%20%5C%3A%20sphere%20%5C%3A%20%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5C%3A%20%20%7Br%7D%5E%7B3%7D%20%20%5C%5C%20here%20%5C%3A%20r%20%5C%3A%20%20%3D%20%20%5C%3A%206%20%5C%3A%20in%20%5C%5C%20volume%20%5C%3A%20of%20%5C%3A%20sphere%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%20%5C%3A%20%20%7B6%7D%5E%7B3%7D%20%20%5C%5C%20%5C%5C%20volume%20%5C%3A%20of%20%5C%3A%20sphere%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%20%5Ctimes%20216%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%3D%204%5Cpi%20%5Ctimes%2072%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%3D%20288%5Cpi%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%3D%20904.778%20%5C%3A%20cubic%20%5C%3A%20inches)
<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
The <u>correct answer</u> is:
D) <span>if it's raining, then the humidity level is 100%; hypothesis: it is raining; conclusion: the humidity level is 100%.
Explanation:
The truth value of this conditional statement is true; if it is raining outside, that would mean the humidity level is 100%..
The hypothesis of a conditional statement is the "if" part. In this statement, what follows "if" is "it's raining"; this is the hypothesis.
The conclusion of a conditional statement is the "then" part. In this statement, what follows "then" is "the humidity level is 100%"; this is the conclusion.</span>
2 + 4(3+2x) = 3x + 8
2 + 12 + 8x = 3x + 8
14 - 8 = 3x - 8x
6 = -5x
x = -6/5