A train freight car weighs 25 tons when empty. A conveyor belt pours coal into the car at a constant rate of 1/3 ton per minute until it is full.

The dump truck (Refer to problem 8) weighs 55 tons when filled. At the same time the freight car is being filled, an identical freight car filled

to capacity is being emptied at a rate of 1/6 ton per minute.

How long, in minutes, until the freight cars are the same weight?

The tucks will weigh the same in

minutes.

How much coal will be in each truck when they weigh the same?

There will be

tons of coal in each truck.

Answers

Answer 1

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons


Related Questions

NEED ASAP . Plz help

Answers

It’s 4 and what they said

Help!!! Worth 12 points !!!! I’ll mark brainliest!!!❤️

Answers

Answer:

good handwritting the first is 87

Step-by-step explanation:

The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?

a 12
b 9
C 5
d. 0

Answers

A it’s the answer correct

Answer:

A. 12

Step-by-step explanation:

Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!

Answers

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?

Answers

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

Find the slope of the following graph and Identify the type of
Slope:

Answers

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

6 to the power 4 simplified

Answers

Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

what does 28-8 represent?

Answers

Step-by-step explanation:

subtraction if that wut u askim

Evaluate 1/6t+1/12 when t=1/2

Answers

Answer:

1/6

Step-by-step explanation:

You're welcome :)

Evaluate -9x-2 when x =-4

Answers

Answer:

34

Step-by-step explanation:

So -9x is 36,36-2=34

Answer:

34

Step-by-step explanation:

-9(-4)-2

36-2

34

n(A)=10
n(B) = 12
n(AUB) = ?​

Answers

Answer:

n(AUB) = 33

Step-by-step explanation:

U is the 21'st letter of the alphabet so

9 + 1 + 2 + 21 =33

n(AUB) = 33

What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139​

Answers

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

What is the answer I got it wrong

Answers

Answer:

-1/2

Step-by-step explanation:

It’s y2 - y1 over x2-x1

- 2 - 3

— - -—-

6 - (-4)

= -5/10

= -1/2

Answer: 1/2

Step-by-step explanation:

In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?

Answers

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

[BRAINLIEST] To manufacture an automobile requires​ painting, drying, and polishing. Epsilon Motor Company produces three types of​ cars, the​ Delta, the​ Beta, and the Sigma. Each Delta requires hours for​ painting, hours for​ drying, and hours for polishing. A Beta requires hours for​ painting, hours for​ drying, and hours for​ polishing, and a Sigma requires hours for​ painting, for​ drying, and for polishing. If the company has hours for​ painting, hours for​ drying, and hours for polishing per​ month, how many of each type of car are​ produced?

Answers

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

somebody please help me what is 15 / 3 ×7/20​

Answers

Answer:

1.75

Step-by-step explanation:

By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.

Then your equation would be:  5*7/20.

Again, you would just read it left to right, 5*7=35

Then divide by 20, which is 1.75.

URGENT!! WILL MARK BRAILIEST! GOD BLESS. PLEASE SHOW ALL WORK. The age of Vicky and Krishna total 27 years. In 4 years, Krishna’s age plus twice Vickey’s age will be 43. What are Vickey and Krishna’s ages?

Answers

9514 1404 393

Answer:

Vickey is 4Krishna is 23

Step-by-step explanation:

Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...

  (27 -v +4) +2(v +4) = 43

  27 -v +4 +2v +8 = 43 . . . . eliminate parentheses

  v +39 = 43 . . . . . . . . . . . . . collect terms

  v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides

  v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age

  27 -v = 23 . . . . . Krishna's age

Vickey's age is 4; Krishna's age is 23.

HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

please help i’m so close to being done :(

Answers

Answer:39 i dont im 12 ps out

Step-by-step explanation:

There are 5 less oranges on the tree today than there was yesterday

Plz help

Answers

that’s all ? is there like no other explanation to make it understood better ?

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

I have 1373/1000 Points, and 10/10 brainiest. Why am I not leveling up to Expert?

Answers

Answer:

some thing is broken man

Step-by-step explanation:

Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an​ accident, police can use the formula v=25L to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answers

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.

after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball​

Answers

Answer:

7 seconds i think let me know if its wrong

Step-by-step explanation:

−3x+8<15 please help

Answers

Answer:x<-7/3

Step-by-step explanation:

Answer: X > -7/3

Step-by-step explanation:

-3x + 8 < 15

subtract 8 from both sides

-3x < 7

divide by negative 3

Also, when dividing or multiplying by a negative you flip the sign.

x > -7/3

Answer :)

Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.

Answers

Answer:

The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs

please helpp mecwith this question ​

Answers

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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

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The correct answer is (( B )) .

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If f(x) = 5x - 12, find f(x) when x= - 12

Plz answer

Answers

Answer:

-72

Step-by-step explanation:

first replace x with -12 so 5(-12)-12

then simplify which makes it -60-12

finally solve that which gives you -72

hope this helps :)

What is the answer to 4^8/4^3 in 4^n form

Answers

Answer:

4^5

Step-by-step explanation:

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[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]

[tex] {4}^{8 - 3} = {4}^{5} [/tex]

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Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?

2:3
2:5
3:2
5:2
Question 4(Multiple Choice Worth 3 poi

Answers

Answer:

it would be 5:2

Step-by-step explanation:

none of these are equivalent to the ratio and 2:5 would be 2 to 5

Answer:

5:2

Step-by-step explanation:

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