Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation 
represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be 
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be 
.
To find the number of days it will take to build a similar house with 5 workers, we will substitute 
in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.
Answer:
r=3.25
Step-by-step explanation:
Sin60 =b/10
<span>√3/2 = b/10
</span>b = <span>√3 / 2 (10)
</span>b = 5<span>√3
</span>
d^2 = 10^2 - (5√3)^2
d^2 = 100 - 75
d^2 = 25
d = 5
sin30 = b/a
1/2 = 5√3 / a
a = 5√3 (2)
a = 10√3
c^2 = (10√3)^2 - (5√3)^2
c^2 = 300 - 75
c^2 = 225
c = 15
so
a =10√3, b = 5√3, c = 15,d = 5
answer is
D. last choice
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
400(1.07)=428
28(5)=140
140+400= 540.
$540 is your answer
