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blondinia [14]
3 years ago
13

Which of the following situations represents a multiplicative relationship with a unit rate of 0.5?

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home

Step-by-step explanation:

The relationship between two quantities could be additive (In this case, one quantity is a result of adding a value to the other quantity) or multiplicative (In this case, one quantity is the result of multiplying the other quantity by a value).

Multiplicative Relationship is a relationship that shows two quantities expressed as multiples of each other.

It can be written as: y = nx

where y and x are multiples of each other

n is equivalent to the ratio of y to x

Let's consider the options we have:

a) On her diet, Mrs. Jackson lost 5 pounds every month.

y = x -a (a= constant)

y = x-5

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

b) Mila eats 12 cup of yogurt every day.

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

c) Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.

y = nx

n = 0.5

y is the result of multiplication of 0.5 by x

y = 0.5x

d) Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.

y = x+a (a = constant)

y = x +1

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

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Answer:

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Step-by-step explanation:

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A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet,
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Answer:

The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

Step-by-step explanation:

At first, let us find the perimeter of the playground

∵ Perimeter of a triangle is P = S1 + S2 + S3

∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft

∴ S1 = 2x, S2 = x - 1, S3 = x

→ Substitute them in the rule of the perimeter above

∵ P = 2x + x - 1 + x

→ Add the like terms

∴ P = (2x + x + x) - 1

∴ P = 4x - 1

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→ Equate the two values of P

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∴ 4x - 1 + 1 = 27 + 1

∴ 4x = 28

→ Divide both sides by 4

∵ \frac{4x}{4} = \frac{28}{4}

∴ x = 7

→ Substitute the value of x in each side to find their lengths

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∴ S1 = 14 feet

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∴ S2 = 6 feet

∵ S3 = 7 feet

∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

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