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sashaice [31]
3 years ago
11

At a summer camp there is one counselor for every 5 campers. Determine whether there is a direct variation between the number of

campers, y, and the number of counselors, x. If so, find the equation of direct variation and you will get 20 points
Mathematics
1 answer:
adell [148]3 years ago
5 0
Campers = y and counselors = x.....1 counselor to 5 campers

y = kx
k = y/x
k = 5/1

y = 5x

lets check..
y = 5x....lets say u have 2 counselors...sub in 2 for x
y = 5(2)
y = 10....so when there is 2 counselors, there are 10 campers

y = 5x...lets say u have 3 counselors...sub in 3 for x
y = 5(3)
y = 15...so when there are 3 counselors, there are 15 campers

2/10 reduces to 1/5
3/15 reduces to 1/5

so yes, this is a direct variation with ur equation being y = 5x

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*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

3 0
3 years ago
Parallel to 7x+5y=3, through (9,-9)
love history [14]
The answer should be -5x + 7y = -108

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lyudmila [28]
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Marianna [84]
Hey..... Nice to see you :)
Let me help you out.

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-3|6n -2| = 3
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|6n -2| = -1
Now, solve absolute value
No solutions.

Because absolute value cannot be less than 0.


I hope that's help !
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3 years ago
in Ryan's V. Class 50% of the students like the teacher if 15 of the students like the teacher how many students are in that cla
Anton [14]

Answer: 30 students.

Step-by-step explanation: They are saying 50% of the class like the teacher. We know that 50% is half of the 100% so that mean only half of the students like the teacher. Is 15 students like the teacher it means that 15 are half of the students in the class. The other half should be another 15. So 15+15=30 or 15x2=30.

I hope I didn’t make it to confusing.

6 0
3 years ago
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