Mathematics, 06.02.2022 01:40 markell42

Could someone please helppp

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Answer from: quetzaliescalona

1. 1/2

2. 3/4

3. 1/6

4. 1/4

5. 7/4

6. 3/2

7. 5/1

8. 2/7

9. 1/4

Step-by-step explanation:

A ratio compares values.

So if there are 3 oranges and 12 apples, we can say that there is a ratio of 3 : 12 meaning there are 3 oranges for every 12 apples.

Ratios can be written in different ways, but they mean the same thing:

Using the ":" to separate the values: 3 : 12Or using the word "to" to separate the values: 3 to 12or as a fraction: $\frac{3}{12}$

A ratio can also be scaled up or scaled down (as long as we do the same thing to both values):

3 : 12 is the same as 6 : 24 (multiplied both values by 2)3 : 12 is the same as 1 : 4 (divided both values by 3)

1. 2 to 4 = 2 : 4 = 2/4

We can reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 2: 2/4 = 1/2

2. 15/20

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 5:

15/20 = 3/4

3. 6 : 18 = 6/18

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:

6/18 = 1/6

4. 3 to 12 = 3 : 12 = 3/12

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 3:

3/12 = 1/4

5. 7 : 4 = 7/4

This fraction cannot be reduced any further as the numerator is a prime number. Prime numbers are whole number greater than 1 that cannot be made by multiplying other whole numbers.

6. 18/12

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:

18/12 = 3/2

7. 35 : 7 = 35/7

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 7:

35/7 = 5/1

(5/1 = 5 however the question is asking you to write the ratio in the lowest fraction, so the lowest fraction is 5/1)

8. 8/28

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 4:

8/28 = 2/7

9. 24 : 96 = 24/96

Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 24:

24/96 = 1/4

Answer from: Quest

step-by-step explanation:

Answer from: Quest

the length of o'p' is $1.5\times op$ .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

$k=\frac{o'p'}{op}$

the scale factor is 1.5.

$1.5=\frac{o'p'}{op}$

multiply both sides by op.

$1.5\times op=o'p'$

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is $1.5\times op$ .

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