MATHEMATICS MIDDLE SCHOOL

A test has 20 questions worth 100 points. The test consists of true/false questionsworth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test? A. 10 mc, 10 t&f
B. 7 mc, 13 t&f
C. 2 mc, 18 t&f
D. 5 mc, 15 t&f

Answers

Answer 1
Answer: answer is D) 5 mc, 15 t&f
you have two unknown variables, thus you need two equations

definitions:
a = quantity of multiple choice questions
b = quantity of true and false questions

100 points = a*11 points/question + b*3 points/question
20 questions = a +b

using 2nd equation, find equation for 'a':
a = 20 - b

substitute this equation for 'a' into 1st equation:
100 = 11a + 3b
100 = 11(20 - b) + 3b
100 = 220 - 11b + 3b
100 - 220 = -8b
-120 = -8b
-120/-8 = b
15 = b

resolve 2nd equation now knowing value of 'b':
a = 20 - b
a = 20 - 15
a = 5

verify solution is correct by substituting values into first equation
11a + 3b = 100
11(5) + 3(15) = 100
55 + 45 = 100
100 = 100 [OK]

verify solution is correct by substituting values into second equation
a + b = 20
5 + 15 = 20
20 = 20 [OK]
Answer 2
Answer:

Final answer:

There are 5 multiple-choice questions on the test.

Explanation:

The total number of points for the test is 100. Let's assume there are x multiple-choice questions on the test. Each multiple-choice question is worth 11 points. So the total number of points for multiple choice questions is 11x. The remaining points, 100 - 11x, are for the true/false questions, each worth 3 points. To find the number of multiple-choice questions, we need to solve the equation: 11x + 3(20 - x) = 100.

Simplifying the equation gives us: 11x + 60 - 3x = 100. Combining like terms gives us: 8x + 60 = 100. Subtracting 60 from both sides gives us: 8x = 40. Dividing both sides by 8 gives us: x = 5.

Therefore, there are 5 multiple-choice questions on the test.

Learn more about the Number of multiple-choice questions here:

brainly.com/question/20936056

#SPJ12

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SOMEONE PLEASE HELP ASAP!! THANK YOU SO MUCH!!!

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those answers are
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What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3?3
15
21
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Answers

Answer:

15

Step-by-step explanation:

Given:

  • 5a - 10b = 45
  • b = 3,

Finding the value of a, solving the equation, considering the value of b=3:

  • 5a - 10*3 = 45
  • 5a = 45+30
  • 5a= 75
  • a= 75/5
  • a= 15

Correct choice is15

Answer:

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Step-by-step explanation:

What is 65% of 60??? PLZZZZZZZZZZ HELP thanks! :)

Answers

all we have to do is multiply them by each other accept we change the percent into a decimal.
65% = 0.65
soooo
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answer? =42.25
i hope this was helps:)
and don't forget 2 
MARK ME BRAINLIEST! :D
Hey, OhMyHawtLover25!

60*65=3900
3900/100=39
I hope this helps;)

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