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Ludmilka [50]
2 years ago
5

Mr. Martin’s math test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. Let x = t

he number of questions worth 5 points. Let y = the number of questions worth 2 points. x + y = 35, 5x + 2y = 100 How many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 15 problems worth 5 points and 20 problems worth 2 points 20 problems worth 5 points and 15 problems worth 2 points 25 problems worth 5 points and 10 problems worth 2 points
Mathematics
2 answers:
Alekssandra [29.7K]2 years ago
4 0

Answer:

The answer is 10 problems worth 5 points and 25 problems worth 2

Step-by-step explanation:

we take our equation

5x+2y=100

then we put in our x & y

5(10)+2(25)

50+50

100

The first answer is the only one that gets you to 100

Sloan [31]2 years ago
3 0

Answer:

10 problems worth 5 points and 25 problems worth 2 points

Step-by-step explanation:

Let x = the number of questions worth 5 points.

Let y = the number of questions worth 2 points

x+y = 35  since there are 35 problems

5x + 2y = 100  since there are 100 points

Multiply the first equation by -5 so we can eliminate x

-5(x+y) = 35*-5

-5x -5y =-175

Add this to the second equation

-5x -5y =-175

5x + 2y = 100

-----------------------

    -3y = -75

Divide each side by -3

-3y/-3 = -75/-3

y = 25

There are 25 2 point questions

Now find x

x+y = 35

x+25 = 35

x = 35-25

x =10

There are 10 5 point questions

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Hi!

So x represents the number of bananas we can buy. Now let's set up the inequality.

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Since we can't go greater than 5.85, we can use that less than or equal to sign.

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3 years ago
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Answer:

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Step-by-step explanation:

<u>Given triangle LNK </u>

  • m∠NLK = 72°
  • m∠LNK = 58°
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4 0
3 years ago
Choose the correct simplification of 8x2(5x 2x2 − 3). 16x4 − 40x3 24x2 16x4 40x3 − 24x2 40x4 16x3 − 5x2 40x4 − 10x3 5x2
yKpoI14uk [10]

The correct simplification of 8x2(5x 2x2 − 3) is 16x^{4} +40x^{3} -24x^{2}

<h3>What do you mean by simplification?</h3>
  • Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
  • Making anything simpler is the act or process of simplification. Everyone is in favor of streamlining court procedures.
  • Certain "solving" issues are connected to "simplification" issues. Parentheses and even nested grouping symbols can be found in some equations, just like in some expressions. Whether we're working with equations (so we're also solving) or expressions (and only simplifying), the simplification procedure is the same in both cases.

The correct simplification of 8x2(5x 2x2 − 3).

8x^{2} (5x+2x^{2+1} -3)=8*2x^{2+2} -8*3x^{2}

                                =40x^{3} +16x^{4} -24x^{2}

Rearranging the above expression in descending order of power, we get:16x^{4} +40x^{3} -24x^{2}

The correct simplification of 8x2(5x 2x2 − 3) is 16x^{4} +40x^{3} -24x^{2}

To learn more about simplification, refer to:

brainly.com/question/723406

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