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aleksandr82 [10.1K]
3 years ago
10

a gasoline service station offers 20 cents off the regular price per gallon every Tuesday.What equation relates the discounted p

rice to the regular price on that day?
Mathematics
2 answers:
solniwko [45]3 years ago
8 0
Look at the question times it what ever number is listed that is your answer
egoroff_w [7]3 years ago
5 0

Alright, lets get started.

Suppose the regular price of the gas is = x

On Tuesdays, gasoline service station offers 20 cents off the regular price per gallon.

Converting 20 cents into dollars, it will be 0.2 dollar

On Tuesdays the price of the gas per gallon will be = x - 0.2 dollars

For the price of gas per gallons on Tuesday , the equation will be : x - 0.2 (where x is the price of gas per gallon on regular days): Answer

Hope it will help :)


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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
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Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

  • A cuboid has 6 faces.
  • A cuboid contains 8 vertices.
  • A cuboid contains 12 edges .
  • The total surface area of a cuboid is

           = 2(length×breadth+breadth×height+length×height) square units

  • The dimension of a cuboid is written as length×breadth×height.
  • The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

=[x\times 2x\times (x+2)]   cubic inches

=[2x^2(x+2)]     cubic inches

=(2x^3+4x^2)     cubic inches

According to the problem,

2x^3+4x^2=192

\Rightarrow 2x^3+4x^2-192=0

\Rightarrow 2(x^3+2x^2-96)=0

\Rightarrow (x^3+2x^2-96)=0

\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0

\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0

\Rightarrow (x-4)(x^2+6x+24)=0

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

 length=(2×4) inches=8 inches

 and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

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3 years ago
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