Answer:
D.
Step-by-step explanation:
Set this up as a ratio with #parts of tank on top and #minutes on the bottom and then solve it as a proportion with x being the unknown number of minutes in the second ratio.
![\frac{\frac{5}{9} }{2}=\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B5%7D%7B9%7D%20%7D%7B2%7D%3D%5Cfrac%7B1%7D%7Bx%7D)
Notice the 1 in the numerator of the second ratio. This is because a whole tank is represented by 9/9 which is the same thing as 1.
Cross multiply to solve for x:
![\frac{5}{9}x=2(1)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7Dx%3D2%281%29)
To solve for x we will multiply both sides by 9/5:
![(\frac{9}{5})(\frac{5}{9})x=2(\frac{9}{5})](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B5%7D%29%28%5Cfrac%7B5%7D%7B9%7D%29x%3D2%28%5Cfrac%7B9%7D%7B5%7D%29)
9/5 and 5/9 cancel each other out when multiplied leaving simply "x" on the left. And multiplying on the right:
![x=\frac{18}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B18%7D%7B5%7D)
which divides to 3.6 minutes
Answer:
lol it's 0.002
Step-by-step explanation:
(3.6x10^-5) = 0.000036 divided by (1.8x10^2) is 0.002
Answer:
$32
Step-by-step explanation:
To find the commission, multiply the rate by the sales:
commission = 5% × $640 = $32
He made $32 in commission.
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<em>Additional comment</em>
Many calculators and all spreadsheets can work with percentages directly. If yours can't, or if you can't do this arithmetic mentally, you can use the equivalent decimal or fraction for 5%.
5% = 5/100 = 0.05 = 1/20
Then 5% × $640 = $640/20 = $64/2 = $32.
The vertical asympote is the value of x that makes the denominator equal to zero:
x+5=0
Solving for x:
x+5-5=0-5
x=-5
The vertical asymptote is x=-5
Answer: Option A. x=-5