A) 2 hours 48 minutes
B) 2 hours 59 minutes
C) 3 hours 11 minutes
D) 3 hours 22 minutes
Answer:
C) 3 hours 11 minutes
Step-by-step explanation:
We are given that Jill has a hot tub that holds 1,260 gallons of water.
Draining the hot tub is modeled by the equation :
Now we are asked to find how long will it take to drain the hot tub
So, substitute y = 0 in equation :
So, it will take 3.17780580076 hours
Now 1 hour = 60 minutes
So, 0.17780580076 hours =
= minutes
≈ 11 minutes
So, it will take 3 hours and 11 minutes
Hence it will take 3 hours and 11 minutes to drain the hot tub .
Both planes leave from Kansas City at the same time.
Plane A flies due West.
Plane B flies due South.
After 2.5 hours, how far is Plane A from Plane B?
A. 1,425.0
B. 1,322.0
C. 1,258.5
The distance between Plane A from Plane B is,
⇒ 1,425.0 m
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Speed of Plane A = 450 mph.
Speed of Plane B = 350 mph.
And, Both planes leave from Kansas City at the same time.
Here, Plane A flies due West.
And, Plane B flies due South.
Now, Distance cover by plane A in 2.5 hours is,
⇒ 450 × 2.5
⇒ 1125 m
And, Distance cover by plane B in 2.5 hours is,
⇒ 350 × 2.5
⇒ 875 m
Thus, The distance between Plane A from Plane B is,
⇒ √1125² + 875²
⇒ 1425.0 m
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Answer:
2 hours and 5 minutes
Step-by-step explanation:
50/40=1.25 km/m
100*1.25=125 minutes
125 minutes= 2.08 hours= 2 hours and 5 minutes
Answer:
y = 7x
Step-by-step explanation:
Given that;
You run 9.1 miles in 1.3 hours at a steady rate
Distance y = 9.1 miles
Time x = 1.3 hours
The relationship between the distance y and the time x is the speed v;
Distance = speed × time
y = v×x ......1
v = y/x
Substituting the given values;
v = 9.1/1.3
v = 7 miles/hour
To derive the equation that represents the proportional relationship between the x hours you run and the distance y in miles that you travel. We substitute v = 7 into equation 1;
y = 7x