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.
Answer:
6. 13.50/2= 6.25~ about 6 pens
7. 306/24= 12.75 about 13 bags
Answer:
The equation to find the cost of repairing a TV is:
y = 25x + 40
Step-by-step explanation:
We know that the slope-intercept form of the line equation is

where m is the slope or rate of change and b is the y-intercept
Given that the TV chairman charges $40 to come out to your house and check the TV plus $25 per hour of labor.
It means $40 is the y-intercept because it represents the starting point/condition of the repairman.
Let 'x' be the number of hours and y be the cost.
The rate of change = 25$ per hour of labor
- The rate of change can also be termed as the slope.
Thus, m = 25
Hence, the slope-intercept form of the line equation becomes
y = mx+b
substituting m = 25 and b=40
y = 25x + 40
Therefore, the equation to find the cost of repairing a TV is:
y = 25x + 40
Validation:
y = 25x + 40
putting x = 1 to determine the cost if labor works for 1 hour.
y = 25(1) + 40 = $65
putting x = 2 to determine the cost if labor works for 2 hours.
y = 25(2) + 40 = $95
It should be noted that when the member of representatives has a higher percentage, it's known as absolute majority.
<h3>What is a house of representatives?</h3>
It should be noted that the house of representative is the lower chamber in the national assembly.
In this case, if a member of the House of Representatives won her first election with 52% of the vote and won her second election with 75%, it is an example of absolute majority.
Learn more about House of Representatives on:
brainly.com/question/25965873
Answer:
11 minutes.
Step-by-step explanation:
To find the median queing time from the cumulative frequency curve, we find

and trace it on the cumulative frequency curve.
From the graph, that total frequency is 100.
Half of this 50.
We trace the 50th item.
First locate 50 on the vertical axis and trace to the horizontal axis.
This corresponds to 11.
Note that each box is 0.5 units on the queing time axis.