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ANEK [815]
2 years ago
13

What is the constant of proportionality in the equation y = 2.5x?

Mathematics
2 answers:
photoshop1234 [79]2 years ago
8 0

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form \frac{y}{x}=k or y=kx

where

k is the constant of proportionality

In this problem we have

y=2.5x

so

the constant of proportionality k is equal to

k=2.5

therefore

<u>the answer is</u>

k=2.5

Nostrana [21]2 years ago
4 0

The constant of proportionality in the equation y = 2.5x is \boxed{2.5}.

Further explanation:

The relation is defined as the relationship between the input values and output values.

The x coordinates are the domain of the function and the y coordinates are the range of the function.

Given:

The equation is y = 2.5x.

Explanation:

The proportionality equation can be expressed as follows,

y \propto x

The value of y changes as x changes. If the value of x increases then the value of y is also increasing.

The equation can be expressed as follows,

y = kx

The inversely proportional relationship can be expressed as,

y \propto \dfrac{1}{x}

Here, k is the proportionality constant.

The given equation is y = 2.5x.

The y is the independent variable and x is the dependent variable.

The proportionality constant is 2.5.

The constant of proportionality in the equation y = 2.5x is \boxed{2.5}.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: proportional, directly proportional, constant, proportionality equation, y=0.41x, constant of proportionality.

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Given that Raul would work 50 weeks of the year,

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Pay rate = $15 / hour

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He would receive a 1-hour break each day, for which he will not be paid, so he will receive a payment for 8-1=7 hours.

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Pay rate = $750 / week

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8 0
2 years ago
Solve: 3.6 (5x4) divided 3+5.0=
zavuch27 [327]

The value of the expression will be 9.

<em><u>Explanation</u></em>

Given expression is : \frac{3.6(5*4)}{3+5.0}

First we will simplify both numerator and denominator separately using <u>order of operations</u>. So....

3.6(5*4)=3.6(20)=72\\\\ and\\\\ 3+5.0=8

Thus the expression....

\frac{3.6(5*4)}{3+5.0}=\frac{72}{8}=9


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2 years ago
D'Naisa mixed her favorite shade of orange paint. She had 111 gallon of orange paint and added 222 quarts of yellow paint and 33
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Answer:

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Step-by-step explanation:

D'Naisa mixed the following:

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We are to determine in total, the number of quarts of paint that she mixed. this is done by converting each of the volume to quart.

<u>1 gallon of orange paint</u>

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<u>3 pints of red paint.</u>

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3 0
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Answer:

The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

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Step-by-step explanation:

We have a rectangular base, that its twice as long as it is wide.

It must hold 12 yd^3 of debris.

We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).

The surface is equal to:

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The volume restriction is:

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If we replace h in the surface equation, we have:

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The dimensions that minimize the surface are:

Wide: 1.65 yd

Long: 3.30 yd

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Step-by-step explanation:

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2 years ago
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