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Gnoma [55]
4 years ago
5

7-5x+1 please answer i need this NOW!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Alisiya [41]4 years ago
5 0

Answer:x=8/5 or 1.6

​​  

Step-by-step explanation:

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A research team aboard an underwater research vessel descends 800 feet below sea level. They then rise 480 feet before descendin
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Riding a bike a person takes 20 minutes to go to work. The trip back home takes 30 minutes. If the rate back is 8 mph slower tha
Ghella [55]
<h2>Answer:</h2>
  • Trip to work has rate:  24 mph
  • Trip back to home has rate: 18 mph
  • Distance to work is:  480 m
<h2>Step-by-step explanation:</h2>

We know that speed is defined as the ratio of distance to time.

i.e.

Speed=\dfrac{Distance}{Time}

Let the distance traveled to work be: x m.

Now, while going to work it takes a person 20 minutes.

This means that the speed of the person while going to work is:

S_1=\dfrac{x}{20}

Also, the time taken to come back home is: 30 minutes.

This means that the speed of person while riding to home is:

S_2=\dfrac{x}{30}

Also, it is given that  the rate back is 8 mph slower than the trip to work.

This means that:

S_1-S_2=8

i.e.

\dfrac{x}{20}-\dfrac{x}{30}=8\\\\i.e.\\\\\dfrac{30x-20x}{600}=8\\\\i.e.\\\\\dfrac{10x}{600}=8\\\\i.e.\\\\\dfrac{x}{60}=8\\\\i.e.\\\\x=480\ \text{m}

Hence, the distance to work is:  480 m.

Also, the rate while going to work is:

=\dfrac{480}{20}\\\\=24\ \text{mph}

and the trip back to home is covered with the speed:

=\dfrac{480}{30}\\\\=16\ \text{mph}

6 0
3 years ago
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