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e-lub [12.9K]
3 years ago
10

Shanti has just joined a DVD rental club. She pays a monthly membership fee of $4.95, and each DVD rental is $1.95. If Shanti's

budget for DVD rentals in a month is $42, how many DVDs can Shanti rent in her first month if she doesn't want to go over her budget? ________ DVDs
Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0
X = number of DVDs

1 DVD costs $1.95 to rent
x DVDs cost 1.95x dollars to rent

tack on the membership fee of 4.95 and the total cost is 1.95x+4.95

set this equal to 42 and solve for x

<span>1.95x+4.95 = 42
</span>1.95x+4.95-4.95 = 42<span>-4.95
</span>1.95x = 37.05
<span>1.95x/1.95 = 37.05/1.95
</span>x = 19

So Shanti can rent 19 DVDs
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PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
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The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

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Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

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Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

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