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BartSMP [9]
3 years ago
5

Ons: Practice

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

x = 18

Step-by-step explanation:

Given

\frac{x}{6} - 7 = -4

Required

Solve for x

\frac{x}{6} - 7 = -4

Add 7 to both sides

\frac{x}{6} - 7+7 = -4+7

\frac{x}{6}  = -4+7

\frac{x}{6}  = 3

Multiply through by 6

6 * \frac{x}{6}  = 3 * 6

x = 3 * 6

x = 18

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Over [174]

Remark

I think you want us to do both 3 and 4


Three

QR is 4 points going left from the y axis + 2 points going right from the y axis.

QR = 6 units long.


RT is 4 units above the x axis and 3 units below the x axis

RT = 7 units long


TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.


Problem 4

You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.


Area = (b1 + b2)*h/2


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Area = (6 + 9)*7/2

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Comment

You could break this up into a rectangle + a triangle

Find the area of QRTU and add the Area of triangle RTS


<em>Area of the rectangle </em>= L * W

L = RT = 7

W = QR = 6

Area = 7 *6 = 42


<em>Area of the triangle</em> = 1/2 * B * H

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Area = 1/2 * 3 * 7

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3 years ago
Graham is hiking at an altitude of 14,040 feet and is descending 50 feet each minute. Max is hiking at an altitude of 12,500 fee
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Max:  20x + 12,500

   Graham      =        Max

-50x + 14,040 = 20x + 12,500

<u>+50x               </u>   <u>+50x               </u>

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<u>          -12,500  </u>  <u>         -12.500 </u>

             1,540  = 70x

              \frac{1,540}{70} = \frac{70x}{70}

                220 = x

Answer: 220 minutes <em>(3 hours 40 minutes)</em>

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