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Nimfa-mama [501]
3 years ago
9

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.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
2 answers:
ra1l [238]3 years ago
8 0

Answer:

x + y=24  

x=24-y = 3x+5y=100  

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.

Dvinal [7]3 years ago
3 0

Answer:

the answer is <u><em>B</em></u>

Step-by-step explanation:

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Leona [35]

Given:

The inequality is:

y>5x+3

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

y=mx+b            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

y>5x+3

The relation equation is:

y=5x+3             ...(ii)

On comparing (i) and (ii), we get

m=5

b=3

It means the slope is 5 and the y-intercept is 3.

The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.

Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.

7 0
3 years ago
(m) रेखीय फलन (Linear function)
Law Incorporation [45]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the lengt
zheka24 [161]

The garden's perimeter = 3+2s+12+s.

The simpler version of the expression = 15+3s.

The variable's frequency in the abbreviated statement is 3.

<h3>Calculation of a triangle's perimeter:</h3>

The triangle's perimeter is equivalent to the sum of its edges, where a, b, and c are its sides.

  • Let the triangle's longest edge be 'a'
  • shorter one to be 's'
  • the opposite side 'b'

With the information provided, the formula will become 'a = 3+2s'

and 'b' is also 12 ft.

Triangle perimeter =the total of its edges

= a + b + s                                                                    

= 3 + 2s + 12 + s

= 15 + 3s

As a result, the garden's perimeter = 3+2s+12+s.

Therefore,the simpler version of the formula is 15+3s.

The variable's coefficient in the abbreviated statement is 3.

Learn more about triangle perimeter:

brainly.com/question/23935199?referrer=searchResults

#SPJ10

7 0
2 years ago
Solve the inequality 4x − 6 &gt; 6x − 20. (5 points)
liq [111]

Answer:

14

14 > 2x

Step-by-step explanation:

you first have to move 4x to the right side and then add 20 yo the left side to get what i got

4 0
3 years ago
Which construction is illustrated above?
Leni [432]

Answer:

The construction is a parallel line to a given line  from a point not on the line.

Step-by-step explanation:

For a given figure,

To construct a parallel line

Step 1 : Draw transversal line through any point not on line which is given.

Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.

Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line.

6 0
3 years ago
Read 2 more answers
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