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balandron [24]
3 years ago
10

Students were surveyed about their favorite colors. 1/4 of the students preffered red, 1/8 of the students preffed blue, and 3/5

of the remaining students prefeered green. If 15 students preferred green, how many students were surveyed?
Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0
27 is how much kids did the survey because I added all the fractions together like how the question did 3/5 which is 3 × 5 = 15
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Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of
vivado [14]
So Volume of cylinder is pi*r^2*h = 1,000 

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h 

So now you have 2 equations, so: 

h = 1,000/(pi*r^2) 
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r 

Derivative of SA is then 2pi*r -2,000/r^2. Set to 0 

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3) 

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h 
<span>h = 10 / pi^(1/3)</span>
3 0
3 years ago
One bus averages 55 mi/h and the other bus averages 45 mi/h. when will they be 400 mi. apart?
aliya0001 [1]
They will be 400 miles apart in 4 hours.
4 0
3 years ago
How do I solve this problem?
Paraphin [41]

Answer:

4

Step-by-step explanation:

17-5=12/3=4 so yeah that is all you need to know

4 0
3 years ago
Read 2 more answers
the amount of military spending M (in billions of dollars) in the U.S. during year t is given approximately by the equation M=48
Fynjy0 [20]

Answer:

2008

Step-by-step explanation:

M = 48.81t + 304.30

M = 694.78                            Solve for t

694.78 = 48.81t + 304.30     Subtract 304.30 from each side

390.48 = 48.81t                    Divide each side by 48.81

t = 390.48/48.81  

t = 8.00 yr

=====

Year = 2000 + t

Year = 2000 + 8.00

Year = 2008

Military spending hit $694.78 billion at the end of 2008.

3 0
3 years ago
3x^2 - 5x + 12<br> 5x^2 + x -11
Ne4ueva [31]
Are u trying to solve the equations as a system of equations cause if you are the point where they are equal is when x=-(3+/-(sqrt 55))/2
8 0
2 years ago
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