Aidan took a 1020 km trip, travelling by Bus and By Train. The bus travelled at 105 km/h, and the train travelled at 160 km/h. The whole trip took 8 Hours. How Far did he travel on the train? Solve algebraically, and round your final answer to one decimal place.

Answers

Answer 1

Answer:

  523.6 km

Step-by-step explanation:

Let x represent the distance traveled by train. Then 1020-x is the distance traveled by bus. The travel times are given by the relation ...

  time = distance/speed

Then the total travel time in hours is ...

  x/160 +(1020-x)/105 = 8

  21x +32640 -32x = 26880 . . . . .  multiply by 3360

  5760 = 11x . . . . . . . . . add 11x -26880

  523.6 ≈ x . . . . . . . . . . divide by 11

Aidan traveled about 523.6 km by train.


Related Questions

6+ 3x = 15 with work!

Answers

Answer:

X=3

Step-by-step explanation:

Rearrange terms

6+3=15

3+6=15

Subtract from both sides of the equation

3+6=15

3+6−6=15−6

Simplify

Subtract the numbers

Subtract the numbers

3=9

x=3

X = 3.

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]3x = 15 - 6[/tex]

2) Simplify 15 - 6 to 9.

[tex]3x = 9[/tex]

3) Divide both sides by 3.

[tex]x = \frac{9}{3} [/tex]

4) Simplify 9/3 to 3.

[tex]x = 3[/tex]

So, therefor, 5he answer is x=3.

Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?

Answers

Sasha because Sasha didn’t run 9 miles

Choose the equations that have (-3, 5, 3) as a solution. Select the two correct
answers.
-x- y + 5z = 1
x - 2y + 3z = -4
x+y-z= -1
-x+y-z=4
2x - y + z = 8

Answers

Answer:

d and b

Step-by-step explanation:

Help plsssss.
Will mark brainlest

Answers

Step-by-step explanation:

y = mx + c

m before x = slope

C. y = 3x - 1

slope = 3

select C

Answer:

c) y=3x-1

Step-by-step explanation:

y=mx+b

I’m trying to figure out #’s 31 and 32. I don’t need the answers I just need guidance on how to figure them out.

Answers

Answer:

open circle means less than OR greater to

closed circle means less than or equal to OR greater than or equal to

what is the [?]

which one answers this equation. please help

24 [?] 3/4= -32

answer choices:
x (times)
+ (plus)
- (minus)
/ (divided by)

Answers

/ (Divided by) i think it is right

Simplify the like terms
3w - 2h + -5w+6h

Answers

simplified answer:

4h-2w

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{3w - 2h + -5w + 6h}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{(3w + (-5w)) + (-2h + 6h)}[/tex]

[tex]\large\text{(-2h + 6h) = 4h}[/tex]

[tex]\large\text{(3w - 5w) = -2w}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf4h - 2w}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Lauren got 321$ for her birthday. She wants to put 20% in her savings account. How much will she have left over to buy new clothes?

Answers

Answer:

$256.80

Step-by-step explanation

Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.

Hope it helps!! :))))

Steve is playing a carnival game. He wants to win a prize, but he thinks he has about a 20% chance of winning. He uses the expression 0.2t to calculate the number of games he will need to play in order to win a prize.

If he plays the game 12 times, about how many times can he expect to win?

Answers

Answer:50%

Step-by-step explanation:

Steve's expected times of winning in 12 trials is about 2 times.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

The winning chance of Steve is 20% or 0.2.

We know, We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.

Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

Therefore, If he plays the game 12 times the number of times he is expected to win is,

= 12×0.2.

= 2.4 Or 2 times.

learn more about probability here :

https://brainly.com/question/743546

#SPJ2

Zaynab decides to put £3000 in a bank account which pays 5% compound interest per year.
She wants to know what would be the balance of this account after 8 years.​

Answers

balance would be 1,800
Interest rates during the 8 years will be = 1200£

3000-1200=1800 left

What is
h(x) = 1/(x-5)3

Answers

Answer:

lim_( 3\/(-5 + x) = 0

Step-by-step explanation:

h(x) = 1\/(x - 5)×3

{x element R : x!=5}

{h element R : h!=0}

d\/dx(3\/(x - 5)) = -3\/(x - 5)^2

integral 3\/(x - 5) dx = 3 log(x - 5) +

The Points in the table lie on a line. Find the slope of the line.
The slope is —-???

Plz I need help

Answers

Answer:

The slope is 2/5

Step-by-step explanation:

1.) Do (y1-y2)/(x1-x2)

(4-2)-(7-2) which is 2/5

2.) 2/5 is the slope

What is the volume of the rectangular prism?

Answers

Answer:

There isn't any picture, so I'm assuming that the volume is l*w*h. Just multiply the three dimensions.

Step-by-step explanation:

Which are solutions of the equation (x+5)(x-3)=0

Answers

Answer:-5 and 3

Step-by-step explanation:-5 +5 is 0 and 0 times any number is 0 also 3-3 is 0 and 0 times any number is 0

the phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, what is the original price? Explain​

Answers

45% is the correct answer

Find Measures in Intersecting Circles
The diameters of D, B, and A are 4 inches,
9 inches, and 18 inches, respectively. Find AC.
A. 3 in.
B. 5 in.
C. 7 in.
D. 9 in.

Answers

A bybybybybybynybybybybyvtvtvttvtvvtvttvtvtvvtvt
7 in. Because if the diameter of D is 4 then the radius is of circle D is 2 then at then you subtract that from the 9 inches (from line A to D) and you get 7 inches (from A to C)

Find the volume of the cone

Answers

Answer:

formulae : 1/3 × area of base × height

= 1/3 × 6 × 8

= 1×2×8

=16

the corner of the volume is 16

Answer for ( brain list, thanks, 5 star review)

Answers

Answer:

Your answer is 4.99

Step-by-step explanation:

259.48/52 will take some work if you use long division, but eventually you  get your answer of 4.99

Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form.

Answers

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

How much will 28 pencils cost if 7 pencils cost $1.82?

Answers

Answer:

7.28

Step-by-step explanation:

1.82*4= 4+3.20+.08= 7.28

Answer:

$7.28

Step-by-step explanation:

7 pencils:$1.82

28 pencils:$x

28/7=4 so multiply 1.82 by 4

$7.28

Which value of x from the set { 8 , 11 , 61 , 67 } makes the equation ( x − 3 )² = 64 true?

8
11
61
or 67

Answers

Answer:

I

Step-by-step explanation:

this its 61 ok thanks you

what is a circumference ​

Answers

Answer:

25.13

Step-by-step explanation:

2 pie  multiply radius

2 pie multiply  4

( I think so)

I hope this helps

Can anyone help my little sister with her math I tried helping her but I couldn’t figure out how to do the math!!

Answers

Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

Solve for x. Round all answers to the nearest tenth

Please help

Answers

Answer:

36.9

Step-by-step explanation:

A number tripled and tripled again is 576. What is the number?

Answers

Answer:

192

Step-by-step explanation:

Answer:

It is either 64 or 96. Thank u for ur time

Step-by-step explanation:

I literally used a calculater... and thats the truth...

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describes the faces of the pyramid?
A)one square and three triangles
B)one square and four triangles
C)three squares and one triangle
D)three squares and two triangles

Answers

Answer:

D. One square and four triangles

Step-by-step explanation:

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces

Square pyramid has a square base.

each edge of the square base joins at the top of the vertex to make a pyramid

The sides of the pyramid is a triangle

the square has 4 sides, so four triangle on the sides of the pyramid

Hence one square and four triangles forms a square pyramid

Answer:

The answer is A). one square and three triangles

Step-by-step explanation:

If i'm incorrect pleas let me know.

Help me please I need it by tommrow

Answers

Answer:

Only answer is A

Answer:

The first and fourth one.

Step-by-step explanation:

A ratio of 5:2 is saying that for every 5 boys, there are 2 girls. Now, in the question, it says, "In a school" so it must be within the whole school, hence #4. Hope this helps!

(3/4)^-1 (4/3)^-2 exponent solving

Answers

Answer:

7/12

Step-by-step explanation:

3/4 - 4/3 = 7/12 or 0.583

simplifique o seguinte produto notável: (2x-6)²​​

Answers

Answer:

Multiply first and add the negative sign and multiply all of it 2 times

Step-by-step explanation:

Answer:

4x +36

Step-by-step explanation:

= (2x - 6) * (2x - 6)

= 4x -12x -12x +36

= 4x +36

Slope intercept form of 4x+4y=-32

Answers

Answer:

y = - x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x + 4y = - 32 ( subtract 4x from both sides )

4y = - 4x - 32 ( divide all terms by 4 )

y = - x - 8 ← in slope- intercept form

Answer:

x+y=-8

Step-by-step explanation:

-32=4x+4y

-4y=4x+32

y=(4x+32)/-4

y=-x-8

x+y=-8

Now comparing to slope intercept form

y=mx+c,we get

slope =1

y intercept =1

y=-8

Other Questions
123.7 cm= How many meters? Help meeee is it a. B. C .d I need help and advice!! What if your dad is using an app called Telegram which you didn't know no one else in the family uses it. What will you do set up a trap etc. Plss i need your help. What was the objective of the Monroe Doctrine?a)to expand US trade by reducing tariffs and other barriers to tradeb)to limit the involvement of the United States in the affairs of foreignnationsc)to replace failing neighboring governments in order to ensure thehealth of the global economyd)to expand US influence over Latin America and reduce the influenceof European powers If you watch Mine-craft streamers, click this question. No matter the streamer. *ahem* GeorgeNotFound once said, "Oh, your positioning is soo good..." If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2) (-4,-4), (1,3)Find the distance and slope between each pair of points. Find the surface area. Explain. If you can help thank you! 41. After WWI, the most important colonial powers in sub-Saharan Africa werea. the USA and Russiab. France and Germanyc. France and Russiad. France and Great Britain A day-care center has a merry-go-round that consists of a uniform 240-kg circular wooden platform 4.00m in diameter. Four children run alongside the merry-go-round and push tangentially along the platforms circumference until, starting from rest, the merry-go-round is spinning at a rate of 2.14 rev/minute. During the spin-up: a) If each child exerts a sustained force of 26N, how far does each child run? b) What is the angular acceleration of the merry-go-round?SHOW ALL WORK AND STEPS PLEASE. During World War I the miners made a no-strike bargain with the government. Compare and contrast this with the actions of Lewis and the UMWA during World War II. LEXI BOUGHT A NEW CAR. SHE DROVE 33 MILES IN THE FIRSTMONTH THAT SHE OWNED THE CAR AND 35 MILES IN THESECOND MONTH THAT SHE OWNED THE CAR. HOW MANY MILES DID LEXI DRIVE IN ALL DYRING THE FIRST TWOMONTHS THAT SHE OWNED THE CAR?PLz helP iLL mArK brAinLYesT !*+ What type of reaction is shown below?A. hydration reaction B.addition reaction list three artifacts ,crafts or art forms that you think is unique then explain what made them different write Newton's third low of motion and verify it with an experiment What does the narrative voice in this passage reveal about Squeakys character?She doesnt like the way her mother treats her.She doesnt care about how she looks to others.She feels like she has to work harder than others.She wants everyone to know how fast she runs. 6x + 7b - 7x + 10xWhat is the answer to this question? Quadrilateral K is the image of quadrilateral K under a dilation. What is the center of the dilation? Team planning should be conducted ______.a.By the facilitatorb.As a teamc.By a managerd.As individuals