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3 years ago

Which pair of ratios forms a proportion? (4/5 10/13), (7/8 15/18), and (1/2 14/28)

Mathematics

1 answer:

beks73 [17]3 years ago

4 0

Answer:

½ and 14/28

Step-by-step explanation:

If a pair of ratio forms a proportion, they are equal.

First pair of ratios:

4/5 =10/13

Convert to the least common denominator (4 × 13)/65 = (10 × 5)/65

52/65 ≠ 50/65

The first pair of ratios is not a proportion.

Second pair of ratios:

7/8 =15/18

Convert to the least common denominator (7 × 9)/72 = (15 × 4)/72

63/72 ≠ 60/72

The second pair of ratios is not a proportion.

Third pair of ratios:

½ =14/28

Convert to the least common denominator (1 ×14)/28 = 14/28

14/28 = 14/28

½ = 14/28

½ and 14/28 form a proportion.

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A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g. How many of each weight is needed?

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The required number of weights used in chemical balance to weigh 237g is 4,1,1,7 respectively.

What is mathematical expression?

A mathematical expression expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, it is given that :

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g.

Now, let us find the number of weights for each weight type :

For 50g weight the maximum number of weights needed will be 4 that is :

50g x 4 = 200g

Now, for 20g weight the maximum number of weights needed will be 1 that is :

20g x 1 = 20g

Now, for 10g weight the maximum number of weights needed will be 1 that is :

10g x 1 = 10g

Now, for 1g weight the maximum number of weights needed will be 7 that is :

1g x 7 = 7g

Adding all the weights we get :

200g + 20g + 10g + 7g = 237g;

which is the required weight and the number of weights used is 4,1,1,7 respectively.