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kupik [55]
3 years ago
14

using the graph,find the value of the constant in the equation below.if necessary,round your answer to the nearest integer (Pict

ure Attached)

Mathematics
2 answers:
ikadub [295]3 years ago
4 0

Answer:

Constant = 80

Step-by-step explanation:

Given: The graph showing the relationship between the height and width.

We have to find the value of the constant.

Consider the given graph.

\text{height}=\frac{\text{constant}}{\text{width}}

Since, the given relationship between the height and width are inversely proportional to each other.

Inversely proportional is the relationship where when the value of one variable increases the value of other variable decreases.

Here, as the width increases the height decreases.

Thus, For given point (10,8) the value of constant is given by

8=\frac{\text{constant}}{10}

Cross multiply, we have,

Constant is 80

And this constant is same throughout for all values.

Thus, Constant = 80

Ugo [173]3 years ago
3 0
The equation is the form:
Height = Constant / Width

There are several points that can be used to determine the constant. Picking out one which is (4,20)
20 = Constant / 4
Constant = 4(20)
Constant = 80

The constant is 80.
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David was in need for some money so he decided to clean out the water fountain at the mall he found 20 nickels and quarters. The
Shkiper50 [21]

Answer:

David find <u>8</u> quarters.

Step-by-step explanation:

Given:

David was in need for some money so he decided to clean out the water fountain at the mall he found 20 nickels and quarters.

The collection of nickels and quarters totaled to 2.6.

Now, to find the quarters David find.

Let the number of nickels be x

And the number of quarters be y

Thus, the number of nickels and quarters he found:

x+y=20.

⇒ x=20-y.........( 1 )

The totaled of nickels and quarters:

0.05x+0.25y=2.6

(As 1 nickel=$0.05 and 1 quarter=$0.25)

Now, putting the equation ( 1 ) in the place of x we get:

0.05(20-y)+0.25y=2.6

⇒ 1-0.05y+0.25y=2.6

⇒ 1+0.20y=2.6

<em>Subtracting both sides by 1 we get:</em>

⇒ 0.20y=1.6

<em>Dividing both sides by 0.20 we get:</em>

⇒ y = 8.

So, the quarters = 8.

Therefore, David find 8 quarters.

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3 years ago
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Tanya [424]

Answer:

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Answer:

5 units

Step-by-step explanation:

You can use the distance formula or pythagorean theorem to solve this.

Original point A: (0,0)

New point B: (3, 4)

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