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2 years ago

The car always uses the same amount of gasoline each mile, how many gallons of gasoline would be needed to travel 480 miles?

Mathematics

1 answer:

hodyreva [135]2 years ago

6 0

Answer:

but how much does it use each mile?

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Solve the following system by graphing.

Masja [62]

Hello :
the solution is : <span>(3, -1)
put x= 3 and y = -1
you have : 3-(-1) = 4 and 3+(-1) = 2 ..... right</span>

7 0

3 years ago

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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

ruslelena [56]

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.

8 0

3 years ago

Which compound inequality has no solution? x > 2 and 3x ≤ 9 x > 1 and 2x ≤ –2 x > –1 and 4x ≥ –8 x > –2 and 5x ≥ 15

antoniya [11.8K]

Answer:

4x > -8

Step-by-step explanation:

8 0

3 years ago

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At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's

Rzqust [24]

Answer:

a + c = 125 & 12a + 6c = 1140

Step-by-step explanation:

adult ticket total + child ticket total = 125 total tickets

($12 x adult ticket total) + ($6 x child ticket total) = $1140

4 0

2 years ago

112272 with 15% discount

klio [65]

Answer:

Step-by-step explanation:

In mathematics, the discount is a type of reduction in the cost price of a product. Generally, the discount refers to the condition where the selling price of the product is less than the cost price of the product. The discount can be calculated by taking the difference between the cost price and the selling price. Thus, the formula to determine the discount is given as:

Discount = Cost price – Selling Price

<h3>Hope it is helpful...</h3>

7 0

2 years ago