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Rom4ik [11]
4 years ago
7

The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality? y= 2/9x

Mathematics
1 answer:
jasenka [17]4 years ago
5 0

Answer:

\frac{2}{9}

Step-by-step explanation:

Constant of proportionality is defined as the ratio between two directly proportional quantities.

If suppose x and y are the two directly proportional quantities, then we can say that constant of proportionality is given as \frac{y}{x}.

Here in the question,

y=\frac{2}{9}x

Dividing both sides by x, we get

\frac{y}{x}=\frac{2x}{9x}

\frac{y}{x}=\frac{2}{9}

So, constant of proportionality is \frac{2}{9}.

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Sam is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate the tota
Alexus [3.1K]

Answer:

$210

Step-by-step explanation:

The first thing we can do is to add the $25 back on to the total cost.

25 + 115 = 140.

We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.

Now, to find the original price we can use this equation:

\frac{2}{3} x = 140

X represents the original price.

To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

(\frac{3}{2}) \frac{2}{3}x = 140 (\frac{3}{2})

Now you can solve:

x = \frac{420}{2} \\x = 210

We can check this answer by multiplying 210 by 2/3

(210)(2/3) = 140

Remember, Sam used a gift certificate for $25

140 - 25 = $115

Therefore, the original price of the skis is $210.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

6 0
3 years ago
A square has points at (2, 2) and (5, 2). What is the perimeter of the square?
DENIUS [597]

Answer:

These two points are 3 Units away from each other. 5 - 2 = 3

This accounts for one side of the square, to find the entire perimeter multiply 3 × 4 = 12

The perimeter of the square is 12 units

4 0
3 years ago
Help! You can look at the picture please
viva [34]

Answer:

\frac{3x}{3 - 2x}

Step-by-step explanation:

Here,

f(x) = y

y =  \frac{3x}{2x + 3}

or , swapping x with y

x =  \frac{3y}{2y + 3}

now to solve for y we get

y =  \frac{3x}{3 - 2x}

now we put f inverse x instead of y

{f}^{ - 1} (x) =  \frac{3x}{3 - 2x}

I am done.

4 0
4 years ago
Read 2 more answers
1. What is the constant rate of change between x and y in the table below?
Murljashka [212]

Answer:

a

Step-by-step explanation: ya boi got at least a 90 in all classes

3 0
3 years ago
Read 2 more answers
b) How many white-winged cross bills will there be at the end of June 2020? (Remember that t represent
Mandarinka [93]

Answer:

A dozen = 12

Step-by-step explanation:

I think I’m right

4 0
3 years ago
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