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Nezavi [6.7K]
3 years ago
9

III

Mathematics
2 answers:
Serhud [2]3 years ago
8 0

Answer:

n = 136\% \: of \: 85 \\ n =  \frac{136}{100}  \times 85 \\ n = 1.36 \times 85 \\  \boxed{n = 115.6}

  • <em><u>Therefore, the unknown number "n" is 115.6</u></em>
  • <em><u>Andrea</u></em><em><u> </u></em><em><u>can</u></em><em><u> use</u></em><em><u> the</u></em><em><u> </u></em><em><u>propor</u></em><em><u>tion</u></em><em><u> </u></em><em><u>:</u></em><em><u>---</u></em>
  • <em><u>n/85=136/100</u></em>
WARRIOR [948]3 years ago
6 0

Answer:

  • n = 115.6

Step-by-step explanation:

  • Number = 85
  • 136% of the number = n

<u>The proportion would be:</u>

  • 136%/100% = n/85
  • n = 85*1.36
  • n = 115.6
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Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells e
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We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

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And also we know that she must sell at least $780, then:

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Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

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3 years ago
Q5.Jumbo is standing on top of a cliff looking at a speed boat out at sea.The vertical of the cliff from the base (sea level) to
Leni [432]

Answer:

A) 150 m

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A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.

We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,

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The horizontal distance between the base of the cliff and the boat is 150 m.

B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.

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The distance between the helicopter and the speed boat is 180.28 m.

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