How much money will Adriano’s online business earn this month

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

The website first had 200 subscribers, they gained 40 which makes it 240 and then lost 10 which is 230. 230x5= 1,150. So Adriano’s website earned $1,150

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Help me plspslsplpsl 42x^2+34-8-12

OverLord2011 [107]

$\bf Step-by-step~explanation:$

$\bf Step~1:$

To solve this, we have to simplify these numbers by adding like terms.

$42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\$

$\bf Step~2:$

Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.

$\frac{42}{14} =3$

$\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}$

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3 years ago

A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled 3/4 high with water for athletes

Ivahew [28]

So.. if hmm check the picture below, the radius is half that diameter

thus $\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
h=height\\
r=radius=\frac{diameter}{2}\\
----------\\
h=2\frac{1}{2}\to \cfrac{5}{2}\\
diameter=1\frac{1}{2}\to \cfrac{3}{2}\\
r=\cfrac{\frac{3}{2}}{2}\to \cfrac{3}{4}
\end{cases}\implies V=\pi \left( \cfrac{3}{4} \right)^2\cfrac{5}{2}
\\\\\\
V=\pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2}\impliedby \textit{how much is }\frac{3}{4}\textit{ of that?}
\\\\\\
\cfrac{3}{4}\left( \pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2} \right)$

simplify that away

now.. that's how much is in the cooler in cubic feet though, not in gallons

notice, our units were in feet, thus our volume is also in feet, just cubics

so. to know how many gallons, simply divide that by 231

$\bf \cfrac{\frac{3}{4}\left( \pi \cdot \frac{9}{16}\cdot \frac{5}{2} \right)}{231}\quad gallons$