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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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Yes (I guess)

(-1, 2) Lies on a line so im guessing it is...

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2 years ago
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou
o-na [289]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

8 0
3 years ago
Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages wil
inna [77]

Answer:

462.5 pages

Step-by-step explanation:

You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.

If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.

185/2 = 92.5 pages

Now multiply 92.5 by 5 to get how many pages she read after 5 days.

92.5 x 5 =    462.5 pages

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3 years ago
What is the least common multiple of 14, 20, and 15?
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14, 15, 20 | 2

7, 15, 10 | 2

7, 15, 5 | 3

7, 5, 5 | 5

7, 1, 1 | 7

1, 1, 1

Answer: \bf2^{2} × 3 × 5 × 7 = 420

Hope it helped,

Happy homework/ study/ exam!

7 0
3 years ago
Read 2 more answers
Need help question 4
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You need to find what 3 is if 5 is $520,000
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Therefore 3 is 312,000
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3 years ago
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