Simplify the Absolute value of 120+x , if x<−120
1 answer:
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Using proportions, it is found that it took 15 days for the students to finish the project.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, we have that:
- 100% of the project is done by 5 students in 15 days.
- After the 3 students left, 2 students will have a time of x days to do 100 - (9/15) = 40% of the project.
The compound <em>rule of three</em> is given as follows:
1 project - 5 students - 15 days
0.4 project - 2 students - x days
Increasing the number of students, the number of days is reduced, hence the measures are inverse proportional and the <em>rule of three</em> is given by:
15/x = 1
x = 15 days.
It took 15 days for the students to finish the project.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
It will take 60 seconds for the signs to light up at the same time again.
Step-by-step explanation:
Given:
One sign lights up every 10 seconds
One sign lights up every 12 seconds
They have just lit up at the same time.
To find in how many seconds will it take for the signs to light up at the same time again.
Solution:
In order to find the time in seconds will it take for the signs to light up at the same time again, we need to find the least common multiple of the the times for which the given signs light up.
The numbers are 10 and 12.
To find the LCM, we will list the multiples of each and check the least common multiple.
The multiples of 10 and 12 are :
thus, we can see that 60 is the least common multiple.
Thus, the signs will light up at the same time time after every 60 seconds.