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serious [3.7K]
2 years ago
9

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Mathematics
1 answer:
aniked [119]2 years ago
7 0

Answer:

10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x+y = 24

3x+5y = 100

We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...

3x+3y=72

3x+5y=100

Now, subtract the first equation from the second equation...

2y=28

Divide both sides by 2

y=14

Plug this back into any of the equations to solve for x...

x+14=24

x=10

There were 10 three-point questions and 14 five-point questions

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Answer:

D.) If the mean typing speed of workers from the agency is 60 wpm, the probability of selecting a sample of 50 workers with mean 58.8 wpm or less is 0.267.

Step-by-step explanation:

In this case, the p value is what let's us determine the probability of getting the desired outcome. This would be 60 wpm.

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A robot can complete 7 tasks in 5/6 hour. Each task takes the same amount of time. How long does it take the robot to complete o
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Answer:

5/42

Step-by-step explanation:

To solve this problem, you have to divide 7 and 5/6 to find the unit rate (how much hours it takes to do one task).

  1. Write what you know into a ratio

<u>7 tasks</u>

5/6 hour

2. You want to know how many hours one task takes, so make that a ratio as well.

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5/6 hour            ? hour

Ask yourself what do you do to the 7 in the numerator to get to one.

That's right! you divide by 7! And whatever you do to the numerator you do to the denominator (and vise-versa). Therefore if you divide the numerator(7) by 7 to get 1, you divide the denominator (5/6) by 7 as well.

5/6 divided by 7 is 5/42 meaning it takes the robot 5/42 hour to complete one task.

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3 years ago
Which statements are correct about quadrilaterals?
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Hello,

A: True (4 sides equals in a square)

B: True all rectangle has a symetry centre

C: True (2 sides // in a rhombuse since is a parallelogram)

D:False

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The average of the first and last terms times the number of terms, in this case we found that n=19 so:

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