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zavuch27 [327]
3 years ago
13

Derek wants to construct a square box stall for each horse that is to be housed in a stable. He wants all of the box stalls to h

ave the same length on a side. Derek has a total area of 20,250 square feet in which to construct the box stalls. The equation for the side length, x, of a box stall in terms of the number of horses, n, the stable wants to house is x = √. If each box stall is 9 feet long on a side, the stable can house horses.
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0
The total area of the stable is 20,250 sq. ft.

Let n = total number of box stalls.

Each box stall is a square of length 9 ft.
Total area  = 9^2n = 81n ft².
Therefore
81n = 20250
n = 20250/81 = 250

Answer: 250 horses.

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olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

7 0
3 years ago
What is the inverse operation of 102÷3=34
Varvara68 [4.7K]
The answer would be 102 <span>÷ 34 = 3</span>
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4 years ago
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Dafna11 [192]

Answer: C. Y = 5x + 5

Step-by-step explanation:

    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. <em>See attached for a visual</em>.

    First, we will find our slope. We will use \frac{rise}{run} for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

     -> Slope = 5

   Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

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   Lastly, we will write our equation and decide on an answer.

y = <em>m</em>x + <em>b</em>

y = (5)x + (5)

Y = 5x + 5

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vodomira [7]

Answer:

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Step-by-step explanation:

Hope this helps!

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Step-by-step explanation:

Hi,

For the first screenshot, your answer will be...

A) 1/10 + 1/4 ≤ 1

And for the second screenshot, your answer will be...

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I hope this helps :)

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