Mathematics, 28.06.2019 23:30 aisha82

Explain how each of the following rates satisfies the definition of ratio. given an example of how each is used.
a. 1580 people/square mile
b. 360 kilowatt-hour/4 months
c. 450 people/year
d. 355 calories/6 ounces

Answers: 2

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Answers

Answer from: levicorey846

Step-by-step explanation:

A ratio is defined as a comparison of two amounts by division.It is of the form of $\frac{p}{q}$ where p and q are the quantities.

A. 1580 people/square mile in division form

1580 $\frac{people}{\text{square mile}}$

This satisfies ratio definition as this compares two quantities People and Square mile and is of the form $\frac{p}{q}$

Where,

p: People, q: Square mile

Example,

$\frac{1580\times people}{1\times squaremile}$

expresses that per 1 square mile there are 1580 people. Thus rate satisfies the ratio definition.

B. 360 kilowatt-hour/4 months

in division form $\frac{\text{360 kilowatt-hour}}{\text{4months}}$

This satisfies ratio definition as this compares two quantities kilowatt-hour and months and is of the form $\frac{p}{q}$

where, p: kilowatt-hour and q: people

Example,

$\frac{\360\times kilowatt-hour}{4\times months}$

expresses that per 4 months there are 360 kilowatt-hour. Thus, rate satisfies the ratio definition.

C. 450 people/year

In division form 450 $\frac{people}{year}$

This satisfies ratio definition as this compares two quantities people and year and is of the form $\frac{p}{q}$

where, p: people and q: year

Example,

$\frac{450\times people}{1\times\text{year}}$

expresses that per year there are 450 people. Thus, rate satisfies the ratio definition.

D. 355 calories/6 ounces

In division form $\frac{355clories}{6ounces}$

This satisfies ratio definition as this compares two quantities calories and ounces and is of the form $\frac{p}{q}$

where p: calories and q: ounces

Example,

$\frac{355\times calories}{6\times\text{ounces}}$

expresses that per 6 ounces there are 355 calories. Thus, rate satisfies the ratio definition.

Answer from: Quest

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

Answer from: Quest

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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