A science test, which is worth 100 points, consists, №15217589, 06.12.2021 10:37

Mathematics

Ascience 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

Step-by-step answer

P Answered by PhD

1

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

Step-by-step explanation:

Let x represent the number of 3-point questions.

Let y represent the number of 5-point questions.

The maths test consists of 24 questions. This means that

x + y = 24

Each question is worth either 3 points or 5 and the test is worth 100 points. This means that

3x + 5y = 100 - - - - - - - - - - -1

Substituting x = 24 - y into equation 1, it becomes

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

- 3y + 5y = 100 - 72

2y = 28

y = 28/2 = 14

Substituting y = 14 into x = 24 - y , it becomes

x = 24 - 14 = 10

Mathematics

Ascience 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 10 three-point questions and 14 five-point questions. the test contains 4 three-point questions and 20 five-point questions. the test contains 14 three-point questions and 10 five-point

Step-by-step answer

P Answered by Master

1

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

Step-by-step explanation:

Im using substitution.

$x+y=24\\y=24-x\\3x+5(24-x) =100\\3x+120-5x=100\\120-2x=100\\120-120-2x=100-120\\-2x=-20\\\frac{-2x}{-2} = \frac{-20}{-2} \\x=10$

This means since x is 3 point questions, there are 10 3-point questions.

$x+y=24\\10+y=24\\10-10+y=24-10\\y=14$

This means since y is 5 point questions, there are 14 5-point questions.

Mathematics

Ascience 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

Step-by-step answer

P Answered by PhD

167

X+y=24 so we can say

x=24-y making 3x+5y=100 become

3(24-y)+5y=100

72-3y+5y=100

72+2y=100

2y=28

y=14, since x=24-y

x=10

So there are 10 3-point questions and 14 5-point questions.

Mathematics

Ascience 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

Step-by-step answer

P Answered by PhD

2

x + y = 24

3x + 5y = 100

Using the graphic method, we can easily see that the solution of the system is
(x,y) = (10,14)

Which means that there are 10 three-point questions and 14 five-point questions
Ascience test, which is worth 100 points, consists of 24 questions. each question is worth either 3

Mathematics

Ascience 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

Step-by-step answer

P Answered by PhD

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

Step-by-step explanation:

The value of x is the number of 3-point questions, and the value of y is the number of 5-point questions, as the problem statement tells you. So, the solution (x, y) = (10, 14) indicates ...

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

_____

You can try the offered answers to see which might apply. The last choice has too many questions. The first and third choices don't add up to 100 points.

Mathematics

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? O The test contains 4 three-point questions and 20 five-point questions. O The test contains 10 three-point questions and 14 five-point questions O The test contains 14 three-point questions and 10 five-point

Step-by-step answer

P Answered by PhD

3

3x + 3y = 72

2y = 28

y = 14

x = 24 - 14 = 10

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

please mark me brainliest!

Mathematics

Ascience 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? a] the test contains 4 three-point questions and 20 five-point questions. b]the test contains 10 three-point questions and 14 five-point questions. c]the test contains 14 three-point questions and 10

Step-by-step answer

P Answered by PhD

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

Step-by-step explanation:

Let us first find the solution to the system of equations.

x+y= 24

3x+5y= 100

We use substitution method.

x=24-y

Replacing the value of x in the second equation.

3(24-y)+5y=100

Then solve for y.

72-3y+5y=100

2y=100-72

2y=28

y=14

To find x let us replace the value of y in x=24-y

x=24-14

x=10

This means that the test has 14 five-point questions and 10 three point questions.

Mathematics

Ascience 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

Step-by-step answer

P Answered by Master

2

We must solve the system in order to find an answer.
Let's solve the system of equations:
$x + y = 24\\
3x + 5y = 100$
Now let us multiply the first equation by -3:
$x + y = 24/\cdot(-3)\\ 3x + 5y = 100\\ 
--------\\
-3x-3y=-72\\
3x + 5y = 100



$
We add those two equations together( 3x-3x will cancel out):
$-3x-3y=-72\\+ 3x + 5y = 100\\
--------(+)\\
2y=28\\
y=14
$
Now we simply plug y=14 into any of the starting equations to find x:
$x + y = 24\\
x+14=24\\
x=10$
The answer is B:
The test contains 10 three-point questions and 14 five-point questions.

Mathematics

Ascience 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

Step-by-step answer

P Answered by Master

22

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

Mathematics

Ascience 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

Step-by-step answer

P Answered by PhD

Remark. The easiest way to solve this is to make the coefficients of one of the letters = to the same coefficient in the other equation

Set up and solve
x + y = 24
3x + 5y = 100 Multiply the first equation by 3
3x + 3y = 72 Subtract
2y = 28 Divide by 2
y = 28/2
y = 14 <<<<<< Answer for y

Step 2
Solve for x
x + y = 24
x + 14 = 24 Subtract 14 from both sides.
x = 24 - 14
x = 10 <<<<Answer for x

Check to see if it works.

3x + 5y = 100
3*10 + 5*14 = 100
30 + 70 = 100 Checks.

There are 10 three point question
There are 14 five point questions.

Step-by-step answer

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