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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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3 years ago
Need answers ASSAP
ollegr [7]
Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: \pi \approx3.14
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

<span>Calculate the volume of the paint bucket (its formed being cylindrical), we have:
</span>V =  \pi *r^2*h 
V = 3.14 *3.5^2*8 
V = 3.14*12.25*8
\boxed{V = 307.72\:in^3}

<span>What was the total cost of the paint?

</span>price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (<span>directly proportional)
</span>
\frac{0.05}{y} = \frac{1}{307.72}
multiply cross
1*y = 0.05*307.72
y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark

Answer:
<span>the total cost of the paint is $15</span>
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