The object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi/h.
<h3>What is the distance?</h3>
Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
An object is traveling at a steady speed of 10 1/5 mi/h.
u = 10 1/5 min/h
u = 51/5 min/h
As we know, the speed-distance relationship:
time = distance/speed
distance = 1 4/5 = 9/5
time = (9/5)/(51/5)
time = 9/51 hours
time = (9/51)60
time = 10.58 minutes
Thus, the object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi/h.
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Answer:
She hiked 1,554 kilometers in all.
Step-by-step explanation:
Let the hiking kilometers for morning be x
Given that:
Hiking kilometers in afternoon = 666
According to given condition that afternoon kilometers are 25% less than morning:
x = 666 + 25% of x
By simplifying:
x = 666 + 0.25x
x - 0.25x = 666
0.75x = 666
Dividing both sides by 0.75 we get:
x = 666/0.75
x = 888 kilometers
She hiked 888 kilometers in morning
And
Total = 888 + 666 =1554 km
i hope it will help you!
Answer: 30 couples.
Justification:
You can follow a systematic approach to tackle this kind of problems.
Construct a chain of ratios whose units cancel out to yield to a result with the right units of the answer you are looking for.
In this case you want to know the number of couples that took the ride in 30 minutes.
The input data are:
1 couple / seat
1 seat / minute
Then, by multiplying those two data you get: [1 couple / seat] * [1 seat / minute], which, treating the units appropiately yields to 1 couple / minute.
Next, you realize that when you muliply 1 couple / minute times the number of minutes you get the number of couples that took the ride in that time.
So, the answer is: 1 couple / minute * 30 minute = 30 couples (the minutes cancel out because they appear in the denominator and numerator).
So, when you work with ratios and proportions, the use of units helps you a lot to figure out the way to get the answer.
Answer:
(x+a)²-7=x²+10x+b
simplifying,we get
x²+2ax+a²-7=x²+10x+b
the coefficient of x on both sides should be equal
therefore
2a=10
a=10/2=5
also for b
a²-7=b
5²-7=25-7=b
b=18
a=5
