Answer:
100 minutes
Step-by-step explanation:
To solve this, we can make a proportion.
The bike travels 5 miles in 20 minutes, and 25 miles in x minutes
5/20=25/x
Cross multiply
5*x=20*25
5x=500
Divide both sides by 5. This will cancel out the 5, and leave x by itself.
5x/5=500/5
x=100
There are 60 minutes in 1 hour. If we subtract 60 from 100,
100-60=40
So, this is also equivalent to 1 hour and 40 minutes.
It takes 100 minutes, or 1 hour and 40 minutes, to travel 25 miles.
If . he will use the wall of the garage as one side of the pen and will construct the rest of the rectangular pen from 28 yards of fencing. The maximum area that can be achieved for the dog pen is: 392 yards².
<h3>Maximum area </h3>
Let x represent the width of the fence
Let the two widths represent 2x
Let the length of one side represent 28-x
Let A represent Area
Hence,
A=x(28-x)
=-x²+28x
Using calculus or vertex = -b/2a,
x value = -28/-2
x = 14
2x = 28
So,
Maximum area= 14 ×28
Maximum area = 392 yards²
Therefore the maximum area is 392 yards².
Learn more about maximum area here: brainly.com/question/16665507
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Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
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Question 2:
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Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
Answer:
idk
Step-by-step explanation:
You would is this case use the perfect square rule. So your would squareroot 9r^2 and 25 to get 3r+5 then you would square this equation to get (3r+5)^2
