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antoniya [11.8K]
3 years ago
8

The next test will be a hundred points total, but only forty questions will be asked. Some questions are worth two points each a

nd the rest are four points each. How many of each questions is there?
Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

  • 10 questions that are 4-point
  • 30 questions that are 2-point

Step-by-step explanation:

<em>Numerical reasoning</em>

If all questions were 2-point, the total score would be 80. It is 20 more than that. Each 4-point question that replaces a 2-point question will add 2 points to the score, so there must be 20/2 = 10 of them.

There are 10 4-point questions and 30 2-point questions.

_____

<em>With an equation</em>

Let x represent the number of 4-point questions. Then 40-x is the number of 2-point questions. The total number of points is ...

... 2(40-x) +4x = 100

... 2x +80 = 100 . . . . simplify

... 2x = 20 . . . . . . . . .subtract 80

... x = 10 . . . . . . . . . . divide by 2.

There are 10 4-point questions and 40-10=30 2-point questions.

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A paper clip is just over 4 cm long. How many paper clips like this can be made from a straight piece of wire 10 meters long?
bixtya [17]

Answer:

25 Paper Clips

Step-by-step explanation:

100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).

100/4 = 25

So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.

5 0
3 years ago
6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?​
mario62 [17]

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours =>  8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = \frac{6*12}{8}

∴ x = <u>9 labours</u>

7 0
2 years ago
In need of help PLEASE!!!!​
ozzi

Answer:

a bc I think it's right idk really

Step-by-step explanation:

jdlaifnshfjtjtjfjdjsjdurbxusnejskshduanwufnrudjdjfkgkgjdjfjgktjvinehdovndintivnsjvolebvinebfirbxjbwhgoenchbtijbegijrgcihegcinrhd

7 0
2 years ago
Find the missing segment in the image below​
Bogdan [553]

Answer:

3

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ \frac{AD}{AC} = \frac{AE}{AB}

⇒ \frac{6}{6+?} =\frac{4}{4+2}

⇒ ? = 3

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2 years ago
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Answer:

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Step-by-step explanation:

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