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LenaWriter [7]
3 years ago
8

Step by step explanation

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer: x = 4 and y = -3

Step-by-step explanation:

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.

3(-2 -2y) + 5y = -3

-6 - 6y + 5y = -3

-y = 3

y = -3

Now that we know y, we plug it into the original equation and solve for x.

2x + 4(-3) = -4

2x + -12 = -4

2x = 8

x = 4

You can check the answer by plugging both x and y into either of the original equations.

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The diameter of the moon is 2,160 miles. A model has a scale of 1 in : 150 mi. What is the diameter of the model?
Charra [1.4K]

Answer:

The diameter of the model is 14.4 inches.

Step-by-step explanation:

The Diameter of the moon = 2,160 miles

The scale on the model represents 1 in = 150 miles

Let the model represents k inches in 2,160 miles.

So, by the Ratio of Proportionality:

\frac{1}{150}   = \frac{k}{2160}

⇒k = \frac{2160}{150} \\\implies k =  14.4

or, k = 14.4 inches

⇒On the scale 2160 miles is represented as 14.4 inches

    Hence the diameter of the model is 14.4 inches.

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3 years ago
The elevation of Mt. Everest is 29,028 feet. The elevation of the Dead Sea is –485 feet. What is the difference in the elevation
navik [9.2K]

Answer:

28,543

Step-by-step explanation:

If we take the height of Mt. Everest (29,028) and the height of the Dead sea (-485) and subtract we get the `answer of 28,543.

6 0
3 years ago
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How do you get from 24 to a hundred
Tasya [4]
The easiest way would be adding 76
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2 years ago
The perimeter of the rectangle below is 74 units. Find the length of side xy.
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What is the volume of a cylinder with a base radius of 2 and height of 6 ?
vodomira [7]

Answer:

V = 24pi

or 75.36 ( using 3.14 for pi)

or 75.39822369 ( using the pi button)

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius and the height

V = pi (2)^2 * 6

V = pi 4*6

V = 24 pi

If we approximate pi by 3.14

V = 3.14 * 24 = 75.36

If we use the pi button

V =75.39822369

8 0
3 years ago
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