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Serhud [2]
3 years ago
11

two trains are 500 miles apart when they first enter a colision course. If after, two hours the distance between them is 300 mil

es and one train goes 20 mph faster than the other, find the speed of the faster train
Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Answer: 60mph

Step-by-step explanation:

500-300 = 200

200 = distance traveled in 2 hrs

100 = distance traveled every hour

100=2x+20, x being the slower train

80=2x

x=40

40+20 = 60, the speed of the faster train

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When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pa
Liono4ka [1.6K]

Answer:

His book was opened at Page no.296 and Page no.297

Step-by-step explanation:

Let the page number of one page be x

Page number of page facing page no. x = x+1

We are given that the product of the facing pages was 87,912.

So, x(x+1)=87912

x^2+x=87912

x^2+x-87912=0

x^2-296x+297x-87912=0

x(x-296)+297(x-296)=0

(x+297)(x-296)=0

x=296,-297

Since Page no. cannot be negative

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x+1=296+1=297

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5 0
3 years ago
Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they
Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276

Number of ways of choosing 3 students From all males

n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220

The probability that all are male of choosing '3' students

P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }

P(E) =  \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}

P(E) = 0.067 = 6.71%

<u><em>Final answer</em></u>:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

3 0
3 years ago
Which statements can be used to describe a ray? (pick 2 answer choices)
Lyrx [107]

Answer:

The answer are A and D

Step-by-step explanation:

A) A part of a line

and

D) Has only one endpoint

5 0
3 years ago
Read 2 more answers
3. sin t + cos2 t / sin t =
Charra [1.4K]
See the picture, please!!

7 0
3 years ago
1. AB = 11 and BC = 5. Find AC 2. AC = 16, BC = x + 4, AB = x + 14. Find x
lord [1]
The wording of the question kinda doesn't make sense in some parts, but I'll try anyway. 1 plus 4 is 5, and since BC is 5, x is 1 for BC. -3 plus 14 is 11, so x is -3 for AB.
5 0
3 years ago
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