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Arlecino [84]
2 years ago
14

A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour what is the

train’s original speed
Mathematics
1 answer:
vlabodo [156]2 years ago
7 0
<span>A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
***
let x=original speed
x+5=increased speed
travel time=distance/speed
..
lcd:x(x+5)
150(x+5)-150x=x(x+5)
150x+750-150x=x^2+5x
x^2+5x-750=0
(x-25)(x+30)=0
x=25
What is the train’s original speed? 25 mph</span>
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nekit [7.7K]

Answer:

\frac{ {20x}^{3}  -  {7x}^{2} + 3x - 7 }{ { - 13x}^{2}  - 5}

-13x²-5≠0

13x²+5≠0

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option D

8 0
2 years ago
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9. The average diameter of an atom is 2 x 10-8 m. What if the average diameter of an atom was 1 cm? How tall would you be?
ozzi

Answer:

You'd be 2 * 10^{-6} times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

D_1 = 2 * 10^{-8}m

D_2 = 1\ cm

To determine how tall you'd be, we need to divide D2 by D1;

Ratio = \frac{D_2}{D_1}

Substitute values for D2 and D1

Ratio = \frac{2 * 10^{-8}m}{1\ cm}

Convert cm to m

Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}

Ratio = \frac{2 * 10^{-8}m}{0.01\ m}

Convert denominator to exponents

Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}

Ratio = \frac{2 * 10^{-8}}{10^{-2}}

Apply Law of indices

Ratio = 2 * 10^{-8} * 10^2

Ratio = 2 * 10^{-8+2}

Ratio = 2 * 10^{-6}

Hence;

<em>You'd be </em>2 * 10^{-6}<em> times tall</em>

4 0
2 years ago
You need to write an essay that has at least 500 words you have written 285 words so far right and solve an inequality that Reec
andrezito [222]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

so

w+285\geq 500                

Solve for w                        

Subtract 285 both sides        

w\geq 500-285\\w\geq 215

The minimum number of words left to write is 215

3 0
2 years ago
A bookseller bought 80 books at rs 30 each 20 books were stolen and he sold the remaining books at 5% loss find the selling pric
Blizzard [7]

Answer:

rs 38.

Step-by-step explanation:

Total cost of the 80 books = 80*30 = rs 2400.

He had 60 books to sell and made a  5% loss.

Thus  his income from these books was  2400 - 0.05*2400 = rs 2280.

So the selling price of each book was 2280 / 60 = rs 38.

8 0
2 years ago
Maggie brought $10 to the candy store she will buy a certain amount of fudge 1 pound cost to 2.30 if p represents the money magg
xxTIMURxx [149]

Question is Incomplete. Complete question is given below;

Maggie brought $10 to the candy store. She will buy a certain amount of fudge. One pound of fudge costs $2.30.  If p represents the amount of fudge, in pounds, Maggie buys, which expression represents the money Maggie has left after visiting the candy store?

Answer:

The expression that represent the money Maggie has left after visiting the candy store is (10-2.3p)

Step-by-step explanation:

Given:

Money Maggie brought at store = $10

Cost of 1 pound of fudge = $2.30

Let the amount of fudge be p

We need to find the amount of Money Maggie has left with after visiting the store.

The amount of Money Maggie has left with can be calculate by subtracting the amount of fudge she bought multiplied by Cost of 1 pound of fudge with Money Maggie brought at store.

The equation can be framed as;

Money left = 10-2.3p

Hence, The expression that represent the money Maggie has left after visiting the candy store is (10-2.3p)

3 0
2 years ago
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