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Liula [17]
3 years ago
14

An engineer is building a suspended platform to raise bags of cement. The platform has a mass of 200 kg, and each bag of cement

is 40 kg. He is using two steel cables, each capable of holding 250 kg. Write an equation for the number of bags he can put on the platform at once, and solve it.
Mathematics
1 answer:
larisa [96]3 years ago
3 0
24 kg would be your answer thank you
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Solve each system by graphing:<br><br> 4x + 6y = -12<br> 2x + 3y = 6
Helga [31]

Answer: For the system given, there is no solution.

The slopes are the same for both equations, so the lines are parallel. With no intersection, there is no solution.

It may be easier to graph the system if you change the equations to slope intercept form  y = mx + b

That locates the y-intercept, <em><u>b</u></em> and you can use the slope, <em><u>m</u></em> to plot additional points to draw the lines.

The attachment shows the graph of this system of equations.

Step-by-step explanation:  Isolate y on the left

<u>First equation:</u>

4x + 6y = -12 Subtract 4x from both sides

6y = -4x -12   Divide both sides by 6

y = -4x/6 -12/6   Simplify

y = -2x/3 - 2   The y-intercept is -2, <u>the slope is -2/3</u>

<u>Second equation:</u>

2x + 3y = 6  Subtract 2x from both sides

3y = –2x + 6 . Divide both sides by 3

y = –2x/3 + 6/3  Simplify

y = –2x/3 +2   The y-intercept is -2, <u>the slope is -2/3  </u>

At this point we see that the slopes are the same, so the lines are parallel.

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AlekseyPX

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