A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.

Answers

Answer 1

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

x

300

x+5

300

=2

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr


Related Questions

Express 2x2 – 3x – 5 as the product of two binomial factors.

Answers

Answer:

(2x-5) (x+1)

Step-by-step explanation:

Express 2x2 – 3x – 5 as the product of two binomial factors.

factorize the given expression

2x^2 – 3x – 5

2x^2 – 5x+2x – 5

x(2x-5)+ 1 (2x-5)

(2x-5) (x+1)

Hence the expression as the product of two binomial is (2x-5) (x+1)

Could someone confirm if I was correct?

Answers

compare to the correct answer on the picture. If not helped you can use a graph calculator and it should let you know wether or not you’re correct

Kate and Rachel went out to lunch. Their bill came to $34.50 before the 6% sales tax. How much was their total bill with the tax?

Answers

Answer:

36.57.........................

Nita earns $20 per week walking her neighbor's dog. She also makes $2 per rose that she sells from her rose garden. Nita wants her weekly income to be at least $50. Create an inequality that correctly represents Nita's situation by dragging and dropping the three values into the appropriate spaces provided. x is the number of roses that Nita needs to sell.

Answers

Answer:

20+2>50

         

Step-by-step explanation:

Answer:

15 roses

Step-by-step explanation:

20+2x≥50

-20     -20

2x≥30

2x/2≥30/2

x≥15

Please answer These. must have them quick! **60 POINTS**

Answers

Answer:

1: x = 47, y = 902: x = 92, y = 88, z = 923: 284: x = 90, y = 855: 133

Explanation:

[1] - A

y = 90 (90 degree angle)

90 - 43 = 47, so x = 47

[2] - C

x = 92 because 180 - 88 = 92

x = 92 and y = 88 because 92 + 88 = 180

[3] - C

x = 28 because 90 - 62 = 28

[4] - D

x = 90 because 180 - 90 = 90

y = 85 because 42 + 53 = 95, 180 - 95 = 85

[5] - A

x = 133 because 180 - 47 = 133

- PNW

James sat an English quiz. He scored 7 out of 8 what percentage did he get right?

Answers

Answer:

James scored 87.5% in the test.

Step-by-step explanation:

7 x 100 : 8 = 87.5%

If I add 3 to the left side of the equation, what do I have to do to the right side of the equation?

Question 3 options:

nothing


subtract 3


add 3


multiply by 3

Answers

Add 3 because whatever you do to one side you have to do to the other

Stacy spins the pointer 120 times and records it. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. A winning spin is a 2. FIND THE EXPERIMENTAL PROBABILITY OF LANDING ON 2

Answers

Answer:

1 / 4

Step-by-step explanation:

Number of trials = 120

Landing on 2 = 30

Landing on 3 = 19

Landing on 4 = 25

Landing on 5 = 29

Landing on 6 = 17

The experimental probability of landing in a two:

Experimental probability :

Number of times event occurs / Number of trials

Number of 2 landings = 30

Experimental probability of landing in a 2 ;

30 / 120 = 1/4

Solve for x.
78
5x-1
15x-3

Answers

Answer:

x=8

Step-by-step explanation:

Angle S and R are remote interior angles which means that they would add up to equal angle RQK.

78+5x-1=15x-3

Combine like terms

77+5x=15x-3

Add 3 on both sides

80+5x=15x

Subtract 5x on both sides

80=10x

Divide 10 on both sides

x=8

A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many pounds of flour are needed to make 1 wedding cake?Please answer the question

Answers

The answer is 13 minutes and b

Answer:

2.5 pounds

Step-by-step explanation:

I got a 100 on this text

HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST

Answers

Answer:

ok.....mmmm............

Answer:

whats the ?

Step-by-step explanation:

Find value of X please​

Answers

Answer:

x=7

Step-by-step explanation:

Step #1- Set the two lines equal to each other

10+12=x+15

Step #2- Solve for the line you have all values for

10+12=22

Step#3- Plug 22 back into the equation where the two lines are set equal to each other

22=x+15

Step #4- Solve for X algebraically

22=x+15

22-15=x

7=x

Mrs. Anderson's car can go 464 miles on 16 gallons of gasoline. How many miles
can the car travel on 22 gallons of gasoline?

Answers

Answer:

638 miles

Step-by-step explanation:

Key skills needed: Proportions, Unit Rates

1) The car can go 464 miles with 16 gallons of gasoline. We need to find how many miles each gallon gasoline results in.

To find the miles per gallon, we would do 464 miles/16 gallons --> 29 mpg

This means each gallon lets the car run 29 miles.

2) To find out how many miles 22 gallons is, we then do 29 x 22, which is 638 miles.

Therefore, your answer is 638.

Hope you understood and have a nice day!!

Justify whether the equation y=9x−4 defines a linear or nonlinear function.

Answers

Answer:
Linear

Explanation:
A non linear function would have a squared term

32°
C
B
D
E
What is the measure of ZABD?
A 32°
B. 58°
O c. 64°
OD. 148°
O E. 180°

Answers

I think it’s C


I hope it’s right

The measure of angle ZABD is 106°, the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The line AE and CD

Now,

The angle sum property to find angle D:

Z + A + B + D = 360° Substitute the given values:

Z + 32 + 58 + D = 360 Simplify:

Z + D = 270 Subtract Z from both sides:

D = 270 - Z

Now, you need to find angle Z. To do that, you can use the fact that opposite angles in a quadrilateral are supplementary, meaning they add up to 180°2. So, angle Z and angle C are supplementary:

Z + C = 180°

You can use the fact that C is an exterior angle of triangle YZX and it is equal to the sum of the opposite interior angles3. Therefore, C = Y + X. Substitute this value:

Z + Y + X = 180°

You are given that Y = 10° and X = 6°. Substitute these values:

Z + 10 + 6 = 180 Simplify:

Z = 164

Now, you can use this value to find angle D:

D = 270 - Z Substitute Z = 164:

D = 270 - 164 Simplify:

D = 106

Therefore, by algebra the answer will be 106°.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

really need help i am failing these lessons
Mali ran 21 miles in 3 hours. How many miles could she run in 5.5 hours?

62.2 miles
30 miles
38.5 miles
40.5 miles
3.

Solve the word problem using unit rates.

Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?

69 multiplication problems
54 multiplication problems
92 multiplication problems
46 multiplication problems
4.


Find the fraction as percent.
15%
12%
17%
14%
5. \


Solve the proportions.
4.25
10
8
9
6.

Find the fraction as percent.
0.7%
70%
0.07%
7.0%
7.

Answers

Answer:

thats a long question ong

Step-by-step explanation:

Given f(x) = 2x + 2, solve for x when f(x) = -4


Anyone know the answer? ​

Answers

x=-2 I’m pretty sure that’s the answer! :)

POINTS AND ILL GIVE MY NUMBER

I’ll give my number if u answer.


Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.

1. If she eats 2 servings of granola, how many calories does she eat?
2. If she wants to eat 175 calories of granola, how many servings should she eat?
3. Write an equation to represent the relationship between the number of calories and the number of servings of granola.

Answers

Answer:

1. 700 calories

2. Half a serving

3.x=serving

350x=calories

Good Luck!

EASY QUESTION!! is 12.0095 the same as 12.95?

Answers

no it is not the same

Answer:

no

Step-by-step explanation:

not the same

Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent

Answers

Answer:

 [tex]no[/tex]

Step-by-step explanation:

Lets solve the first half.

[tex]-4 ( x - 6) = -4x + 24[/tex]

Second one:

[tex]-4 times x - 4 times 6 = -4x -24[/tex]

Now compare.....Not the same right??

So your answer is:  [tex]no[/tex]

Hope this helps :)

What is the hardest part of solving a triangle with 2 sides given for you?

Answers

Answer:

As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.

Step-by-step explanation:

Write an
inequality to compare – 24 and -14.

Answers

Answer: The position of -24 is to the left of -14.

The position of -14 is to the right of -24.

Step-by-step explanation:

We can conclude that -18 < -2.

We can conclude that -14> -24.

acceleration of a runner who goes from 1.4 m/s to 2.2 m/s in 4 s

Answers

Answer:

acceleration is 0.2m/s²

Step-by-step explanation:

Vf=Vi+at

Lets susbtitute our known variables into the equation

2.2=1.4+a(4)

We get

a=0.2m/s²

anyone know this? just click on the photo

Answers

Answer:

6x - 4

Step-by-step explanation:

6x -4 is the answer to that question

Is the set of ordered pairs presented in the arrow diagram a function?Explain.

Answers

Answer:

no

Step-by-step explanation:

a function cant have the same range

Answer:

Functions as Arrow Diagrams When the domain and codomain of a function are finite sets then one can represent the function by an arrow diagram. Remember that an arrow diagram represents a function if exactly one arrow must leave each element of the domain and point to one element in the codomain.

Step-by-step explanation:

7.
Which number shows seventy-three hundredths in
standard form?
a) 7,300
b) 7.3
C) 0.73
d) 0.073

Answers

C hope that helps
Hahahaha :) goo day

The number that shows seventy-three hundredths in standard form will be 0.73.

Standard form simply refers to a number that can be written as a decimal number that's between 1.0 and 10.0 which is then multiplied by a power of 10.

Therefore, the number that shows seventy-three hundredths in standard form will be: = 73/100 = 0.73

In conclusion, the correct option is 0.73.

Read related link on:

https://brainly.com/question/20301788

X + 3 =8
X- 5 =7
Please someone help?

Answers

Step-by-step explanation:

x+3=8

8-5=3 so x=5

7+5=12 / 12-7=5

12-5=7

Answer:

the answer is (1) x = 5 (2) x = 12

Complete the factored form of the linear expression 21x + 14y = ( ) ( + )​

Answers

Answer:

21x+14y

=7(3x+2y) taking common 7

6 of 12
A car travels a distance of 180 km in a time of 3 hours.
What is the car's average speed?
km/h

Answers

Answer:

60km/h

Step-by-step explanation:

180 ÷ 3 = 60

60km/h

Which angle corresponds to < 8?​

Answers

Answer:

b

Step-by-step explanation:

Other Questions
Moles are small mammals that are virtually blind and live in underground burrows for most of their lives. This is an example of the interaction between which Earth's systems?A. biosphere/lithosphereB. Lithosphere/hydrosphereC. hydrosphere/biosphere/lithosphereD. Atmosphere/lithosphere/hydrosphere plz help Which root word is Greek and means "far off"? teleportthermspect what is the difference between a long dicussion and prolonged dicussion? Can someone help with this mapping function I need help ! Solve.8d + 6 = 22d = can someone help me on codehs. its 7.1.5: initials. here is what your supposed to doWrite a function called initials that will take a first and last name and return their initials using the following format:initials("Tracy", "Turtle")# => "T.T."initials("Peter", "Parker")# => "P.P." URGENT!!! 30 points!What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted. What are the coordinates of E?? The Lion Incorporated is currently going bankrupt and is a subsidiary of the Dorothy Ltd. The CFO of the Dorothy Ltd is preparing consolidating statements for a listing of the company on the French stock exchange. She does not include in consolidation the Lion Company, saying Lion does not have and is not in the process of having debt or equity instruments that are publically traded. The CFO is: Annie is making bags of candy to give to her 7 friends. She is putting two-thirds of a pound of candy in each bag. How many pounds of candy will she need? A. 4 and one-third B. 4 and two-thirds C. 4 start fraction 1 over 6 end fraction D. 4 and three-fourths The frequency of the stretching vibration of a bond in IR spectroscopy depends on what two quantities? Answer as in the model. 12 pointsmodelo-Yo lo har. (ellos)-Si, t lo haras pero ellos no lo haran.1. Yo saldr. (ella)2. T se lo dirs. (ellos)3. Nosotros vendremos. (t)4. Ellos lo harn. (nosotros)5. Tu lo tendrs. (ella)6. Ellas podrn. (yo) How much is 92 quadrillion cents The financial analysis component of a business plan is to describea. how your business will be organized and what type of management or department structureyour business will haveb. the ?big picture? behind your business, what your business has to offer the consumer, andwhy your business will be successfulc. the size of the market, how your business will fit into the market, and how your business willstand out from other businesses in the marketd. where the funds to start and operate your business will come from, when you expect to seeprofit, and how much profit you expect to see Mainly need help with the first one! Will mark brainliest :) At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs? A substance made up of two or more types of atoms that are NOT chemically combined is called a(n)AelementBmixturecompoundDpure substance Fake Question So It Doesn't Get Taken Down (What is the gemological answer for 5.87 x 7?) Real Question: Whats something i could watch on Netflix? How can clothes impact someones performance?..i need three facts for an essay Management needs to be prepared to deal with problems and seize opportunities as they arise. A company often identifies alternative courses of action to be taken if events undercut a strategic or tactical plan. These are called _____ plans.