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irakobra [83]
3 years ago
8

What is the slope of-5y=2x

Mathematics
1 answer:
kogti [31]3 years ago
6 0

The slope of -5y=2x is -2/5

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A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al
azamat

Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

y-y_1=m(x-x_1)

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

m=120

After x_1=1.5 minutes, the balloon is at an altitude of y_1=2,150 feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

y-2,150=120(x-1.5)

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)

Now, find the height after 4 minutes:

y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450

Thus, the balloon will reach only 2,450 feet after 4 minutes.

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3 years ago
Which of the following interpretations for the given expression is correct?
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Answer:

Step-by-step explanation:

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Third option is the correct answer.

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3 years ago
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Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

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  • 5s + 8g = 576

Cramer's rule tells you the solution to the system

  • ax +by = c
  • dx +ey = f

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  • y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

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4 years ago
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alex41 [277]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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