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KIM [24]
2 years ago
13

The equation 3y=5x represents a proportional relationship. what is the constant of proportionality for this relationship

Mathematics
1 answer:
Citrus2011 [14]2 years ago
4 0

The constant of proportionality for this relationship is  \frac{5}{3}

Step-by-step explanation:

Proportional relationship is the relation between two variables that vary directly with each other

  • If x and y are proportion, then y = k x, where k is the constant of proportionality
  • If x and y are proportion, then \frac{y}{x}=k, where k is the constant of proportionality

∵ The equation is 3 y = 5 x

∵ x and y are proportional

- That means y = k x, where k is the constant of proportionality

∴ Put the equation in the form y = k x

- Divide both side by the coefficient of y

∵ The coefficient of y is 3

∴ Divide both sides of the equation by 3

∴ y = \frac{5}{3} x

-  The value \frac{5}{3}  is constant

∴ k =  \frac{5}{3}

∵ k represents the constant of proportionality

∴ The constant of proportionality =  \frac{5}{3}

The constant of proportionality for this relationship is  \frac{5}{3}

Learn more:

You can learn more about the proportional relationship in brainly.com/question/10708697

#LearnwithBrainly

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4. Which operation should be completed first in the expression below? Use PEMDAS to evaluate. 24 ÷ (12 – 8) x 6 + 3 a. Add b. Su
irinina [24]

Answer:

Option b - Subtract

Step-by-step explanation:

Given : Expression 24\div(12-8)\times 6+3

To find : Which operation should be completed first in the expression below?

Solution :

P - Parentheses

E - Exponent

D - Divide

M - Multiplication

A - Addition

S - Subtraction

In the first step we solve the bracket in the expression  24\div(12-8)\times 6+3

So, we do subtraction i.e. 12-8=4

Therefore, option b is correct.

5 0
3 years ago
If 6 men can do a piece of work in 14 days, how many men are needed to do the work in 21days?
Ivenika [448]
Total work amount
6 men * 14 days
84 men days

If it is done within 21 days, need x men
84 men days = x men * 21 days
x = 84/21 men
x = 4 men
4 0
3 years ago
Which list is in order from least to greatest? A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3 B) 2.5 *10^3, 7 * 10^3, 9.25 *
vladimir1956 [14]

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

9.4 * 10^{-8}  \: <   \: 9.25 * 10^{-6} \:  <  \: 2.5 * 10^3 \:  <  \: 7* 10^3

The correct choice is A.

6 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the points (-3, 7) and (2, -6)
Sliva [168]

Answer:

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Step-by-step explanation:

Use the slope formula to find the slope of the line based on two points.

m = y₂ - y₁/x₂ - x₁

Substitute the values

m = -6 - 7/2 - (-3)

Simplify.

m = -13/5

The slope of this line is -13/5.

4 0
2 years ago
During an algebra class a teacher asked for examples of non-prime numbers. Jake says 51, Teresa says 41, and let Liu says 21. Wh
USPshnik [31]
The students that are correct are Jake , and Liu because 51, and 21 are composite.

Hope this helps!
3 0
2 years ago
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