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fomenos
3 years ago
12

A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per

gallon, and they have a sedan that gets 32 miles per gallon. How much more will they pay for gasoline if they take the van? (Assume that the family will drive 3200 miles and that gas costs $3.60 a gallon. How much more (in dollars) will they pay for gasoline if they take the van?
Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
3200/12=266.66 gallons
3200/32=100 gallons

266.66 X 3.60= $960
100 X 3.60 = $360

$960 - $360 = $600
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The value of x^3 + 3x^2 - 2x + 7 divided by x- 2 is (x^2 + 5x + 8) + 23/(x - 2)

<h3>What is a quotient?</h3>

Quotients involve the result of dividing a dividend by a divisor.

In other words, quotient means division or the result of a division operation

<h3>How to solve the quotient?</h3>

The quotient expression is given as:

(x^3 + 3x^2 - 2x + 7)/x- 2

Expand the numerator in the above expression

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Rearrange the terms of the numerator in the above expression

(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)

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[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)


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[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)

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(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)

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Read more about quotients at:

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<u>Complete question</u>

Evaluate (x^3 + 3x^2 - 2x + 7)/x- 2

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The school band sold cupcakes to raise money for new uniforms each of the 40 band members baked cupcakes to sell they either bak
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This question is incomplete. Here is the complete question below:

The school band sold cupcakes to raise money for new uniforms. Each of the 40 band members baked cupcakes to sell. They either baked chocolate or vanilla cupcakes.

Each student baked 24 cupcakes.

Each cupcake was sold for $2.

All of the cupcakes were sold.

A total of $1,200 was earned from the vanilla cupcakes.

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Answer: $720 was earned from the sale of chocolate cupcakes.

Step-by-step explanation:

Taking key points from the question:

*** 40 band members baked chocolate or vanilla cupcakes.

*** Each student baked 24 cupcakes

***Each cupcake was sold for $2

***All cupcakes were sold.

***$1200 was earned from the vanilla cupcakes.

Now, before we can determine how much was earned from y chocolate cupcakes sold, we must find out how many cupcakes were baked and later sold altogether.

Since a single studi baked 24 cupcakes and all members of the bani (numbering 40) baked cupcakes, then :

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Therefore 960 cupcu were baked altogether by the members of the band.

Again, since a single cupcake (irrespective of the flavour) was sold for $2, then:

$2 × 960 = $1920 was the total amount earned after selling all the cupcakes.

Then, if $1,200 was earned from the vanilla cupcakes, we can calculate the amount earned for selling chocolate cupcakes by subtracting the amount realized after selling all the baked vanilla cupcakes from the total amount earned after selling all cupcakes:

$1,920 - $1,200

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Therefore $720 was earned after selling chocolate cupcakes.

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