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MatroZZZ [7]
3 years ago
11

One number is 5 times another number the difference between the two numbers is 1460 what is the two numbers

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

The two numbers are -365 and -1825.

Step-by-step explanation:

5x=y

x-y=1460

--------------

x-5x=1460

-4x=1460

x=1460/-4

x=-365

-365-y=1460

y=-365-1460=-1825

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A biology test is worth 100 points and has 36 questions.
Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

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Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

M + E= 36 --- Number of questions

2M + 6E = 100 --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in M + E= 36

E = 36 - M

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Collect Like Terms

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Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

2M + 6E = 100 would be:

4M + xE = 100

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

4 * 29 + x * 7 = 100

116 + 7x = 100

Subtract 116 from both sides

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Since the essay question can not have worth negative points.

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