There are 3 counselors assigned to each group of 24 campers, how many campers would there be if there was 9 counselors

2 answers:

8 0

There would be 72 campers because if you divided 24 by 3 it gives you 8 and than you’ll multiply 8 by 9 and it’ll give you 72.

AURORKA [14]3 years ago

5 0

Answer:

72 campers

Step-by-step explanation:

To solve this problem, first we know that there are 3 counselors for every 24 campers. To get from 3 campers to 9 campers, you would need to multiply 3 by 3. If you do this with the campers, you would also need to multiply the counselors (24) by 3 as well. 24 times 3 = 72.

So, if there are 9 counselors, there would need to be 72 campers.

You might be interested in

The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square centimeters, find

mr Goodwill [35]

In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)

6 0

3 years ago

What is the sum of the interior angles of the polygon shown below

DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).