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Lemur [1.5K]
4 years ago
12

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:
Brilliant_brown [7]4 years ago
6 0
The solution to the system of equations is (x, y) = (10, 14), where x is the number of 3-point questions and y is the number of 5-point questions. The appropriate choice is ...
  The test contains 10 three-point questions and 14 five-point questions. (2nd selection)

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3 years ago
Algebra question I don’t get it because you usually have to multiple A by C but there is no C in the problem.
Misha Larkins [42]
Ok so basically, when you say multiply A by C, that is simplifying.

And in this case, you are factorising in this question. You turn back into brackets basically.

We have:
72x^2 - 32

x^2 = x squared

factorising means finding the factor of.

(Forget the x squared for the moment to make life easier)

Factors of 72:
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And then factors of 32:
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Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!

This is what we would have:
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BUT, that is not the answer!
Keep in mind we have the x squared too

But, 32 doesn’t have it?!!

It would be:
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Do you get it??

Try to simplify it! Does it equal to 72x^2 - 32?

(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)










6 0
3 years ago
Find the image of (3,5) reflected across the x-axis
Nikitich [7]
The x-coordinate remains the same.
The y-coordinate was 5, above the x-axis, now it becomes -5, below the x-axis.
Answer: (3, -5)
5 0
3 years ago
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