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2 years ago

Determine if the equation 2x=y represents a proportional relationship.

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

5 0

Answer:

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Proportional Relationships

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:

y=kx

for some constant k , called the constant of proportionality .

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .")

This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

The graph of the proportional relationship equation is a straight line through the origin.

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Irina-Kira [14]

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3 years ago

Does anyone know this ? Thank you

alina1380 [7]

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2 years ago

What is the mean of this set 18,21,20,14,17

konstantin123 [22]

Answer: 18

Step-by-step explanation:

Add them all up

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90/5=18

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3 years ago

Read 2 more answers

3 times a number m use a equation plz

lawyer [7]

Answer: 3m

Step-by-step explanation:

You're multiply 3 by m. Since this isn't possible unless you have m's value, you must write the expression as 3m.

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3 years ago

A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening

-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving a system of linear equations.

First we write the system equations :

$C+S+A=750$

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

$3C+5S+7A=3450$

This equation represents the totaled receipts.

The system :

$C+S+A=750\\3C+5S+7A=3450$

has the following associated matrix :

$\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]$

By performing elementary matrix operations we find that the matrix is equivalent to

$\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]$

The new system :

$C-A=150\\S+2A=600$

Working with the equations :

$C = 150 + A\\S = 600-2A$

Our solution vector is :

$\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]$

For example :

If 0 adults attended ⇒ A = 0

$C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600$

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

$S = 600 -2A$

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0

3 years ago