5/7 of the 63 students in gym class are wearing blue shorts. Some of the students are girls and the rest are boys. The ratio of the number of girls wearing blue shorts to the total number of students wearing blue shorts is 3:5. How many girls are wearing blue shorts? How many boys are wearing blue shorts?

27 girls are wearing blue shorts.

18 boys are wearing blue shorts.

Step-by-step explanation:

5/7 of the 63 students in gym class are wearing blue shorts. This means that the total number of students in the class wearing blue shorts is

5/7 × 63 = 45 students

The ratio of the number of girls wearing blue shorts to the total number of students wearing blue shorts is 3:5

If the number of girls wearing blue shorts is x, then

x/45 = 3/5

Cross multiplying, it becomes

x × 5 = 45 × 3

5x = 135

x = 27

The number of boys wearing blue shorts would be

45 - 27 = 18

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.