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3 years ago

Contestants in the Run-and-Bike-a-thon

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

Answer:

They ran for 0.923 hrs and biked for 0.46 hrs

Step-by-step explanation:

First thing to do is write down the inequality of the question

5.2x + 20.8y = 14.4

10.4x + 18.2y = 18

Multiplying the whole equation by 10, so as to eliminate the decimal places, we have.

52x + 208y = 144

104x + 182y = 180

Multiplying the first equation by 2, we have

104x + 416y = 288, next we solve it simultaneously with the second equation

104x + 416y = 288

104x + 182y = 180

Subtract 2 from 1, and we have..

416y - 182y = 288 - 180

234y = 108

y = 0.46

Now, we go back and substitute for y in the earlier equation, so that

52x + 208(0.46) = 144

52x + 95.68 = 144

52x = 144 - 95.68

52x = 48.32

x = 48.32/52

x = 0.929

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A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes

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You have effectively wasted 1 hour of my time. Congratulations.

115 = 65 + 50

45(65) + 35(50) = 2925 + 1750 = 4675
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3 years ago

Hank has 50 peso, 200 peso and 500 peso bills in his wallet. He has five less 200 bills as 50 bills, and half as many 500 bills

Varvara68 [4.7K]

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.

<h3>How to apply systems of linear equations in real life equations</h3>

In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:

y = x - 5 (1)

0.5 · y = z (2)

x + y + z = 6250 (3)

The solution of the system of linear equations is described below:

x = 2503, y = 2498, z = 1249

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. $\blacksquare$

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472

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2 years ago