Answer:
Option E.
Step-by-step explanation:
Let the intended length of Rebecca's swimming is = x units
and we assume the length of the pool = l units
Now it is given in the question that " She covers one fifth of her intended distance "
That means distance covered = ![\frac{x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D)
" After swimming six more lengths of the pool she had covered one quarter of her intended distance"
So ![\frac{x}{5}+6(l)=\frac{x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D%2B6%28l%29%3D%5Cfrac%7Bx%7D%7B4%7D)
![6l=\frac{x}{4}-\frac{x}{5}](https://tex.z-dn.net/?f=6l%3D%5Cfrac%7Bx%7D%7B4%7D-%5Cfrac%7Bx%7D%7B5%7D)
![6l=\frac{x}{20}](https://tex.z-dn.net/?f=6l%3D%5Cfrac%7Bx%7D%7B20%7D)
x = 20×(6l)
x = 120l
Therefore, Rebecca has to complete 120 lengths of the pool.
Option E is the answer.
Answer: =11/4
Step-by-step explanation:
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:
![\frac{15}{x} = \frac{2}[5} \times \frac{1}{0.4}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Bx%7D%20%3D%20%5Cfrac%7B2%7D%5B5%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B0.4%7D)
![\frac{15}{x} = \frac{2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Bx%7D%20%3D%20%5Cfrac%7B2%7D%7B2%7D)
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
#SPJ1
Only the first one works
y = 3(-1)-2 = -5
y = -(0) -6 = -6 not -2
This is a substitution problem...