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The ratio of boys to girls in gym class is 6 to 5. There are 30 boys in gym class. How many girls are in gym class?
Question 1 options:

25

61

36

6

A. 25 girls

Step-by-step explanation:

Suppose the number of boys is b and the number of girls is g.

We know that the ratio of boys to girls is 6 to 5, so we can write this as:

b:g = 6:5   or    b/g = 6/5

We also know that there are 30 boys, so b = 30. We plug this value of 30 in for b in our ratio. Now, we just have a proportion with one variable g:

 ⇒  

Cross-multiplying, we get:

6 * g = 30 * 5 = 150

g = 150/6 = 25

Thus, there are 25 girls, so the answer is A.

Hope this helps!

25

Step-by-step explanation:

Boys : Girls

6 : 5

30 : X

X/30 = 5/6

X = 5/6 × 30

X = 25

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1