The ratio of girls to boys in a sports club is 3: 5 There are 27 girls in the club. How many boys are there?

45 boys

Step-by-step explanation:

The 3 part of the ratio refers to the number of girls.

Divide number of girls by 3 to find the value of one part of the ratio

27 ÷ 3 = 9 ← value of 1 part of the ratio, then

5 parts = 5 × 9 = 45 ← number of boys

Their are 45 boys.

Step-by-step explanation:

Let's represent Girls by G,and Boys by B

so G = 27 and B = ? and G/B = 3:5 or 3/5

3 = 27

5. B

3B = 135

3. 3

B = 45

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt