Question

in 10–15, use = or ≠ to show whether the ratios are equivalent. 10. 3:12 ◯ 6:24 11. \\(\frac{28}{16}\\) ◯ \\(\frac{7}{4}\\) 12. 4 to 20 ◯ 1 to 4 13. \\(\frac{4}{6}\\) ◯ \\(\frac{6}{9}\\) 14. 27 to 9 ◯ 24 to 4 15. 6:10 ◯ 8:15 in 16 and 17, complete the tables with equivalent ratios. 16. a wildlife conservancy maintains a ratio of 2 squirrels for every 8 birds. how many birds would there be if there were 15 squirrels? chart: animals, squirrels: 2, 4, 5, blank, 15; birds: 8, blank, 20, 40, blank

Explanation:

Step1: Simplify ratios for Q10

Simplify $3:12 = \frac{3}{12} = \frac{1}{4}$, $6:24 = \frac{6}{24} = \frac{1}{4}$

Step2: Simplify fractions for Q11

Simplify $\frac{28}{16} = \frac{7}{4}$, $\frac{7}{4} = \frac{7}{4}$

Step3: Simplify ratios for Q12

Simplify $4:20 = \frac{4}{20} = \frac{1}{5}$, $1:4 = \frac{1}{4}$

Step4: Simplify fractions for Q13

Simplify $\frac{4}{6} = \frac{2}{3}$, $\frac{6}{9} = \frac{2}{3}$

Step5: Simplify ratios for Q14

Simplify $27:9 = \frac{27}{9} = 3$, $24:4 = \frac{24}{4} = 6$

Step6: Simplify ratios for Q15

Simplify $6:10 = \frac{6}{10} = \frac{3}{5}$, $8:15 = \frac{8}{15}$

Step7: Find ratio factor for Q16

Ratio: $\frac{\text{Birds}}{\text{Squirrels}} = \frac{8}{2} = 4$

Step8: Calculate birds for 4 squirrels

$\text{Birds} = 4 \times 4 = 16$

Step9: Calculate squirrels for 40 birds

$\text{Squirrels} = \frac{40}{4} = 10$

Step10: Calculate birds for 15 squirrels

$\text{Birds} = 15 \times 4 = 60$

Answer:

1. $3:12 = 6:24$
2. $\frac{28}{16} = \frac{7}{4}$
3. $4 \text{ to } 20

eq 1 \text{ to } 4$

1. $\frac{4}{6} = \frac{6}{9}$
2. $27 \text{ to } 9

eq 24 \text{ to } 4$

1. $6:10

eq 8:15$
16.

Squirrels	Birds
4	16
5	20
10	40
15	60

When there are 15 squirrels, there are 60 birds.