Answer:
A. x = 10 years
B. x = 20 years
Step-by-step explanation:
Given:
y = 0.7(200 - x)
Where,
y = target heart rate in beats per minute
x = person's age in years
How old is a person with a target heart rate of 133 beats per minute?
y = 0.7(200 - x)
133 = 0.7(200 - x)
133 = 140 - 0.7x
133 - 140 = -0.7x
-7 = -07x
x = -7/-0.7
x = 10 years
B. How old is a person with a target heart rate of 126 beats per minute?
y = 0.7(200 - x)
126 = 140 - 0.7x
126 - 140 = -0.7x
-14 = -0.7x
x = -14/-0.7x
x = 20 years
<h3>A 5-hour flight takes 65 Gallons</h3>
Step-by-step explanation:
2 hours=26 gallons or 2:26
We should simplify the ratio to see how many gallons an hour flight uses.
26÷2=13 or 13 gallons
1 hour=13 gallon
Now we see how much gas a 5-hour flight takes.
5x13=65
5 hours=65 gallons
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
As the triangle rotates 360 degrees the triangle comes back to the same position that it was in, so the coordinate of Q is (6,3)
