Question

PLEASE HELP

Answer 1

Answer:

1. 17 to 12, 17:12, 17/12

2. 1 to 9, 1:9, 1/9

3. one fifth, two tenths and three over fifteen

4. 3/4 or 3 to 4 or 3:4

Step-by-step explanation:

1. To write a ratio between x and y, in this order, we use the three forms :

• x to y

• x:y

• x/y

Then, if a zoo has 17 monkeys and 12 chimpanzees the relationships are:

17 to 12, 17:12, 17/12

2. The relationship is between 1 home for every 9 homes. The 4 televisions doesn't matter, that's just the description.  Then, the ratios are:

1 to 9, 1:9, 1/9

3. We want three ratios equal to 7/35. Dividing numerator and denominator by 7 we get: 1/5 (one fifth). Multiplying this result by 2, we get: two tenths;  and multiplying it by 3, we get: three over fifteen

4.  The ratio between Number of tickets Jeanne sold (21) and the number of tickets Jack sold (28) is: 21/28, Dividing numerator and denominator by 7 we get: 3/4

Answer 2

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or $\frac{a}{b}$

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

$\frac{17}{12}$ or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

$\frac{4}{9}$

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

$\frac{7}{35}$

Divide both numerator and denominator by 7 we have;

$\frac{1}{5}$               .....[A]

⇒ $\frac{7}{35} =\frac{1}{5}$

Multiply both numerator and denominator by 2 in A we get;

$\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}$

Similarly,

Multiply both numerator and denominator by 3 in A, we get

$\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

Therefore, 3 ratios equal to  7 over 35 are;

$\frac{1}{5}$ or we can write it as one-fifth

$\frac{2}{10}$ or two -tenths

$\frac{3}{15}$ or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒$\frac{21}{28}$

Therefore, the ratio in simplest form is, $\frac{21}{28}$