Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking,
= 3 ft/sec
Rate at which the man is walking,
= 2 ft/sec
Collective rate of both,
= 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min
Now,
Distance traveled by man and woman are
and
ft respectively.
⇒ 
⇒ 
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate
.
Lets calculate h.
Applying Pythagoras formula.
⇒
⇒ 
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒ 
⇒ 
⇒
...as 
⇒ Plugging the values.
⇒
...as
ft/sec
⇒
ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.
Answer:
Since 21 hundredths is 21over one hundred,21 hundredths as a Fraction is 21/100. If you divide 21 by one hundred you get 21 hundredths as a decimal which is 0.21. To get21 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 20percent.
Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
780 students prefer chocolate milk.
Step-by-step explanation:
Let,
the total percentage = 100%
Students who prefer plain white milk = 35%
Students who prefer chocolate milk = 100 - 35 = 65%
Number of students = 1200
No. of students who prefer chocolate milk = 65% of total students
No. of students who prefer chocolate milk = 
No. of students who prefer chocolate milk = 
No. of students who prefer chocolate milk = 780
780 students prefer chocolate milk.
Keywords: percentage, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
85.5
Step-by-step explanation: