2.5 • 50 = $125 (kids)
5 • 75 = $375 (adults)
so.....
125 + 375 = 600
The school play earned $600 in total. Hope I helped. ;)
Answer:
![y=-\dfrac{1}{2}x+2](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
Step-by-step explanation:
Let
x = the amount of time William has been digging
y = the amount he has left to dig
The hole has to be in 2 ft deep. This means when William starts, the hole was 0 feet deep and has left 2 ft to dig. Hence, y-intercept is ![b=2](https://tex.z-dn.net/?f=b%3D2)
He is able to dig at a rate of
ft per minute. Thus, the slope is
(negative because the depth left to dig is decreasing).
The slope-intercept form of the equation is
so in your case this equation is
![y=-\dfrac{1}{2}x+2](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7Dx%2B2)
please use my image as a reference (figure not drawn to scale).
AB is a straight line and the angle of a straight line = 180°
so that means
, solve for
:
combine like-terms
![5x+x=180-6\\6x=174\\x=\frac{174}{6}](https://tex.z-dn.net/?f=5x%2Bx%3D180-6%5C%5C6x%3D174%5C%5Cx%3D%5Cfrac%7B174%7D%7B6%7D)
°
if you want to make sure of the answer, plug in
in the equation:
![5x+(6+x)=180\\5(29)+(6+29)=180\\145+35=180\\180=180](https://tex.z-dn.net/?f=5x%2B%286%2Bx%29%3D180%5C%5C5%2829%29%2B%286%2B29%29%3D180%5C%5C145%2B35%3D180%5C%5C180%3D180)
Answer:
E
Step-by-step explanation:
When you perform an experiment on a population, the majority of the time, you cannot use the entire population, so instead you use a sample of that population.
In this case, you mark 130 MendAliens out of an unknown population. After that you capture 90, and see that 20 are marked. You can use this to assume that for every 90 MendAliens, you marked 20, so if you calculate that as a percentage, you would get 22.22%.
This means that you marked approximately 22% of the population, when you marked those 130 MendAliens. Using basic math, we can work backwards to calculate the total population.
Percentage (%) = Sample / Total
Inserting the values we know...
22.22% = 130 / Total
Rearranging the formula, we get...
Total = 130 / 22.22%
Since we know 22.22% is actually equal to (22.22 / 100)= 0.2222
Total = 130 / 0.2222
Total = 585