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Harrizon [31]
3 years ago
10

Find the solution for the following: Three backpackers cooked rice for dinner. The first one gave 400g of rice and the second 20

0g of rice. The third one did not have any rice so he gave $6 to the other two. How should they divide the $6 in a fair way ( assume they equally shared the dinner) ?
Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

First backpacker should receive $4 and the second one $2

Step-by-step explanation:

notice that the total amount of rice for the three is 600 g.

Then, the first one that gave 400 g contributed 400 out of 600, that is 400/600 = 2/3

The second one contributed 200 out of 600, that is 200/600 = 1/3

then the first one should receive 2/3 of the $6 = (2/3) x 6 = $4

and the second one should receive 1/3 of the %6 = (1/3) x 6 = $2

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2 years ago
Find the x- and y- intercepts of the graph of 4x - 3y = 24
Vanyuwa [196]
It’s 26 because it’s the only one that makes sense
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3 years ago
What is the solution the the following system of equations:
valentina_108 [34]

Answer:

The solution is (-2, 5, 3)

Step-by-step explanation:

2x + 3y - 4z = -1

2(-2) + 3(5) - 4(3) = -1

-4 + 15 - 12 = -1

-16 + 15 = -1

-1 = -1

x - 2y + 5z = 3

-2 - 2(5) + 5(3) = 3

-2 - 10 + 15 = 3

- 12 + 15 = 3

3 = 3

-4x + y + z = 16

-4(-2) + 5 + 3 = 16

8 + 5 + 3 = 16

16 = 16

Therefore, (-2, 5, 3) is a solution.

2x + 3y - 4z = -1

2(-3.6) + 3(0.2) - 4(1.4) = -1

-7.2 + 0.6 - 5.6 = -1

-12.8 + 0.6 = -1

-12.2 = -1

x - 2y + 5z = 3

-3.6 - 2(0.2) + 5(1.4) = 3

-3.6 -0.4 + 7 = 3

-4 + 7 = 3

3 = 3

-4x + y + z = 16

-4(-3.6) + 0.2 + 1.4 = 16

14.4 + 0.2 + 1.4 = 16

16 = 16

(-3.6, 0.2, 1.4) is not a solution.

2x + 3y - 4z = -1

2(2) + 3(5) - 4(-3) = -1

4 + 15 + 12 = -1

31 = -1

x - 2y + 5z = 3

2 - 2(5) + 5(-3) = 3

2 - 10 - 15 = 3

2 - 15 = 3

13 = 3

-4x + y + z = 16

-4(2) + 5 + -3 = 16

-8 + 5 - 3 = 16

-11 + 5 = 16

-6 = 16

(2, 5, -3) is not a solution.

2x + 3y - 4z = -1

2(4) + 3(-7) - 4(-3) = -1

8 - 21 + 12 = -1

-21 + 20 = -1

-1 = -1

x - 2y + 5z = 3

4 - 2(-7) + 5(-3) = 3

4 + 14 - 15 = 3

18 - 15 = 3

3 = 3

-4x + y + z = 16

-4(4) - 7 - 3 = 16

-16 - 7 - 3 = 16

-26 = 16

(4, -7, -3) is not a solution.

3 0
3 years ago
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