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aivan3 [116]
3 years ago
6

The distance d a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels

at 475 miles in 9.5 hours, how many miles did the train travel after 4 hours? A.100 B.200 C.232.5 D.300
Mathematics
2 answers:
Anastaziya [24]3 years ago
6 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution:

<span>distance = 475
</span>time = 9.5 hrs

<span>since distance and time varies directly
</span>
therefore in 9.5 hrs train travels 475 miles => In 1 hr train travels 475 / 9.5 miles = 50 miles
<span>and in 4 hrs train travells 50*4 i.e 200 miles </span>
castortr0y [4]3 years ago
5 0

Unit 6 lesson 2 quick check

1. 21 (D)

2. 201.6 (C)

3. 3/4 (B)

4. 1/4 (A)

5. 20 (B)

100% i just took it :)


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\frac{19}{6} many more miles of road are left to build .

<u>Step-by-step explanation:</u>

Here we have , A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road.  We need to find that  How many more miles of road are left to build . Let's find out:

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Let Miles of road left to build is x So,

⇒ \frac{1}{2} +\frac{1}{3} +x = 4

⇒ x = 4 - (\frac{1}{2} +\frac{1}{3})

⇒ x = 4 - (\frac{1(3)+1(2)}{6} )

⇒ x = 4 - (\frac{5}{6} )

⇒ x =  (\frac{4(6)-5}{6} )

⇒ x =  \frac{24-5}{6}

⇒ x =  \frac{19}{6}

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Answer :

9

Explanation :

The expression above signifies the Permutation expression

Permutation expression is given as nPr

The Permutation expression is calculated as:

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It the above question, we were asked to evaluate the expression 9P1

From the above question, we can see that:

n = 9 and r = 1

Therefore, the expression

9P1 = 9! / ( 9 - 1) !

9P1 = 9! / 8!

= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

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Therefore, the evaluation of the expression 9P1 = 9

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Answer:

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