Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.
<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.
He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:
t = 1.5/3 = 0.5 hours.
Hence the time it will take him to walk 45 dogs is given by:
45 x 0.5 = 22.5 hours.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
x+y= 120
90x+250y=27,600
Step-by-step explanation:
x= number of certain tickets
y= number of remaining tickets
The statement indicates that for a particular flight the airline sold 120 tickets which means that the sum of the different tickets is 120. The first equation is:
x+y= 120
Then, the statement says that certain number of tickets costs $90 and the remaining tickets cost $250 and that for a particular flight, the airline collected $27,600. From this, you can say that the number of certain tickets, x, multiply for its price that is $90 plus the number of the remaining tickets, y, multiply for its price that is $250 would be equal to $27,600. The equation would be:
90x+250y=27,600
According to this, the answer is that the system of equations that represents this relationship between x and y is:
x+y= 120
90x+250y=27,600
(1, 
) and (1, - )
Step-by-step explanation:
Step 1 :
The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)
The distance between these 2 points is the length of the given triangle
Distance between the 2 points is 
= sqrt (sq(4-(-2)) + sq(1-1)) = 6
Hence the given triangle has 3 equal side of length 6 unit.
Step 2:
The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C
We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)
Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle
Hence 
= 6
=> 9 + 1 + 
-2 y = 6
=> -2 y - 26 = 0
=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)
Hence the possible co ordinates of C are (1, ) and (1, - )
If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.
Now read the fraction, its 23 hundreds, now just write as decimal, so,
0.23
Answer:
2.2 degrees per hour
Step-by-step explanation:
22/10=2.2
