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Gnoma [55]
2 years ago
9

sidiki filled up the gas tank of his motorcycle which holds 13 gallon then he drove 507 miles how many miles per gallon does sid

ikis motorcycle get
Mathematics
1 answer:
Ann [662]2 years ago
7 0

Answer:

Assuming the gas tank was filled to the maximum of 13 gallons, the car motorcycle achieves 39 miles per gallon.

Step-by-step explanation:

507/13 = 39

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Is (-4,4) the solution of the system. 4x+5y>-6 and -2x+7y>20
nikklg [1K]

Answer:

  It is <em>a</em> solution, one of an infinite number of solutions.

Step-by-step explanation:

You can check to see if the given point is in the solution set:

  4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes

  -2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes

The offered point satisfies both inequalities, so is in the solution set. It is not <em>the</em> solution, but is one of an infinite number of solutions.

7 0
3 years ago
a person driving along the road moves rates of 56 miles per hour driven.How far does the person drive in 1.5 hours?
givi [52]
84 miles.
You just have to take half of 56 (28) and add it to 56 to get 84

8 0
3 years ago
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

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2 years ago
During a class activity Raymond drew the layout of his bedroom on graph paper. He made all objects proportional. His teacher sai
prisoha [69]

Answer:

I believe the answer is - they are the same shape but different sizes

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3 years ago
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Answer:

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