1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgen [1.6K]
3 years ago
13

A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta

ken 1 hour less for the same journey. Find the speed of the train
Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

You might be interested in
The prices of pants at a large clothing store chain are skewed left with a mean of $32 and a standard deviation of $20. The mana
Ksivusya [100]

Answer:

14 I think that the answer

7 0
3 years ago
Read 2 more answers
HELP ME WITH THIS PROBLEM
astraxan [27]
15 because I do it like 12+3 because the 3 is negative
8 0
3 years ago
What is this? I don’t understand
Gekata [30.6K]

Answer:

question

Step-by-step explanation:

cant understand

6 0
3 years ago
For each situation, write an expression answering the question. The expression should only
siniylev [52]

Answer:

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

Step-by-step explanation:

<u>Part a:</u>

Given

Salary = $2500

Percentage of raise = 10%

The new salary will be:

= 2500+ (10\%\ of\ 2500)\\=2500 + (0.10*2500)\\=2500+250\\=\$ 2750

<u>Part b:</u>

Given

Total questions = 40

Percentage of correct answers = 85%

The required expression for correct answers is:

= 85\%\ of\ 40\\= 0.85*40\\=34

<u>Part c:</u>

Given

Price of phone = $250

Percentage of sales tax = 7.5%

The required expression is:

Cost\ with\ sales\ tax = 250 + (7.5\%\ of\ 250) \\= 250 + (0.075*250)\\=250+18.75\\=268.75

Hence,

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

8 0
3 years ago
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set, and P = {1, 3, 5, 7}. What is upper P superscript single-quote baseli
WITCHER [35]

Answer:

A. {2, 4, 6, 8}

Step-by-step explanation:

"U" is the set of whole numbers form 1 to 8

"P" is the set of odds within that, so that leaves P' as the evens.

8 0
3 years ago
Other questions:
  • Polygon ABCD has the following vertices: A(−3, 3), B(5, 5), C(5, −4), and D(−3, −4) Calculate the area of the polygon.
    14·1 answer
  • You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.
    8·1 answer
  • Choose the correct simplification of the expression (7x − 3)(4x^2 − 3x − 6).
    11·1 answer
  • 4−6=−2−16−2<br> 4<br> k<br> -<br> 6<br> =<br> -<br> 2<br> k<br> -<br> 16<br> -<br> 2<br> for
    6·1 answer
  • Help please Draw an obtuse angle (labeled BIG) Place a point P inside the angle. Now construct perpendiculars form the point to
    6·1 answer
  • Millie truncates the number N to 1 digit the result is 8 write down the error interval
    6·1 answer
  • Yesterday, a shipping company delivered a combined total of 50,995 letters and packages. If
    8·1 answer
  • Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment.
    12·2 answers
  • -3x + 7 = 1<br> what dose x represent
    12·1 answer
  • What is TR(39)? <br> pls help this is going to be on my exam...
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!