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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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Answer:

Step-by-step explanation:

x/13=10

We have to get rid of the 13. (the denominator)

How?

By multiplying 2 sides by 13

Remember the Rules of Maths:

1. Whatever you do to one side, you must do to the other.

2. Use the opposite operation.

So, we used Rule 2 to get rid of the 13.

Now:

x=10*13

(On the left side, the 13s cancel)

x=130

It is always a great idea to double-check

Does 130 divided by 13 equal 10?

Of course it does!

Have a great day!!

I hope everything is clear!

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3 years ago
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La pendiente de la recta que pasa por los puntos (2,3) y (-2,-4) es 7/4.

(2,3)      (-2,-4)
x₁ y₁       x₂  y₂

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              ----------- = --------- = ----------- = ------
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                    ↑
la fórmula de el pendiente





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4 years ago
A rectangle and a triangle have the same area. If their bases are the same lengths, how do their heights compare? Justify your a
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The triangle's height would have to be 2 times that of the rectangles. To know this, you canlook at the formulas for the Area of each shape.

Rectangle: bh

Triangle: bh/2

A triangle is just a rectangle cut in half. In order for the areas to be the same asleep as the bases, the only way it can be true is if the height were 2 times larger than the height of the rectangle.

3 0
3 years ago
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Answer:

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y = -3x + 6 This is: y = mx+b

Step-by-step explanation:

hope this will help you..

3 0
3 years ago
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muminat
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