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Rashid [163]
4 years ago
7

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:
Dennis_Churaev [7]4 years ago
8 0

Answer:

The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

Given equations are:

x+y = 24\\and\\3x+5y=100

From 2nd equation we can deduce that x represents number of 3-point questions and y represents number of 5-point questions.

Using the substitution method:

From x+y = 24

y= 24-x

Putting this valu of y in 3x+5y=100

3x+5(24-x) = 100\\3x + 120 - 5x = 100\\-2x+120=100\\-2x = 100-120\\-2x = -20\\\frac{-2x}{-2} = \frac{-20}{-2}\\ x = 10\\Putting\ the\ value\ of\ x\ in\ x+y=24\\10+y=24\\y = 24-10\\y = 14

Hence, the correct answer is:

The test contains 10 three-point questions and 14 five-point questions..

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A number r multiplied by seven is less than or equal to 21
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Fernando followed two diagonal paths, Paths 1 and 2, to get from his house, F, to a neighborhood corner store, C, as shown below
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Answer:

42 meters

Step-by-step explanation:

Given

See attachment for complete question

Required

Calculate distance FC

FC is calculated as:

FC = Path\ 1 + Path\ 2

Where

Path\ 1 = FB

Path\ 2 = BC

Considering \triangle FEB, we have:

FB^2 = FE^2 + BE^2 --- Pythagoras theorem

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and

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So:

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How do I solve this??
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Check the picture below.

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