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yuradex [85]
2 years ago
11

The ratio of girls to boys in a particular classroom is 8: 7. How many boys are in the class if there are 45 students?

Mathematics
1 answer:
Dmitry [639]2 years ago
8 0

9514 1404 393

Answer:

  21

Step-by-step explanation:

Rearranging the given ratio, we can find the ratio of boys to the total.

  boys : (boys +girls) = 7 : (7+8) = 7 : 15

Then the number of boys is ...

  (7/15)(45) = 21

There are 21 boys in the classroom.

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The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.
maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series  S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1  -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1  -1)

The formula now shows S(n)=a(r^n+1  -1)/(r-1)

Now use the formula for the problem

4 0
3 years ago
What are the domain and range of the function f(x)= 3^x+5
rewona [7]

Answer:

Step-by-step explanation:

Domain:all real values

Range:[5,∞)

5 0
3 years ago
50 out of 100 flowers are red. What percentage of the flowers are red
GuDViN [60]

Answer:

50%

Step-by-step explanation:

duhh, sorry this one just very obvious

7 0
2 years ago
Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr
zhannawk [14.2K]
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=\sqrt{3}. Hence CM=GC+GM=3*\sqrt{3} /. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
AC^2=AM^2+GM^2=BM^2+GM^2=BC^2
Hence, we calculate from this that AC^2= 28, hence AC=2*\sqrt{7}=BC. Thus, the perimeter of the triangle is 2+4*\sqrt{7}.

3 0
3 years ago
Make sure to SHOW WORK
attashe74 [19]
9/4=2.25
2.25-1= 1.25
7 0
3 years ago
Read 2 more answers
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