The ratio of boys to girls in a class is 2 to 3. If there are 4 boys in the class, how many girls are there?

Step-by-step explanation:

Firstly, we can simplify the ratio of boys to girls to  

1

:

2

.

Then, to find out how many students each ratio represents, we add up  

1

and  

2

to get  

3

(

1

+

2

=

3

).

By dividing  

3

by the number of students, we can find how many students ONE ratio represents:  

24

3

=

8

.

So ONE ratio is equal to  

8

boys. Since our simplified ratio of boys to girls is  

1

:

2

already, we do not have to do further multiplying - the number of boys is simply  

8

.

For the girls, simply multiply  

2

by  

8

to get  

16

.

Check:  

8

boys

+

18

girls

=

24

students

.

5104.38 inches

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)