the distance between town A and town B is 123 km. Two buses begin their journey and move directly toward each other. From town A, the bus is moving at a speed of 45 km/hr and from town B, the bus is moving at a speed of 67 km/hr. Assuming the buses started at the same time, find how far is their meeting point from town A? ​

Answers

Answer 1

Answer:

Speed of slower bus = 50mph and

speed of faster bus = 60 mph

Step-by-step explanation:

Let speed of first bus be x mph

Then speed of second bus = x+10 mph.

Let A and B have a distance d.

Then given that faster bus reached in 3.5 hours.

i.e.  ... i

THe other bus was away from B by 1/6 times d.

Distance travelled by slower bus = 1-1/6 = 5d/6  

Time taken = 3.5 hours

i.e.  ... ii

Divide i by ii to eliminate d.

ie Speed of slower bus = 50mph and

speed of faster bus = 60 mph

Use ii equation

miles


Related Questions

Please answer below :) I will mark the brainiest answer

Answers

Answer:The last option is correct.

Step-by-step explanation:

Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills. What is the approximate volume of water in Anju's cup?

Answers

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

94.2 cubic centimeters is the approximate volume of water in Anju's cup.

To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:

Volume = (1/3) × π × r² × h

Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.

The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.

Substituting these values into the formula:

Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)

Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm

Volume = 12.56 cm² × 7.5 cm

Volume = 94.2 cm²

Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).

To learn more on Volume click:

https://brainly.com/question/13798973

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For what value of P, the binary number 1910, represents 14? ​

Answers

Answer:

1110

Step-by-step explanation:

14 in binary is 1110

1.1x10^5 in standard notation

Answers

Answer:

110000

Step-by-step explanation:

first, expand 10^5, which is 100000

use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000

A line passes through the point (-6,9) and has a slope of 3/2. Write an equation in slope-intercept form for this line.

Answers

Answer:

y=3/2x+18

Step-by-step explanation:

Hi there!

We are given a point (-6,9) and a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:

y=3/2x+b

Now let's find  b

Since the equation of the line passes through (-6,9), we can use it to help solve for b

Substitute -6 as x and 9 as y:

9=3/2(-6)+b

Multiply

9=-9+b

Add 9 to both sides

18=b

Substitute 18 as b into the equation.

y=3/2x+18

Hope this helps!

The cookie's diameter is 14 cm. How much is the radius?

Answers

Answer:

7

Step-by-step explanation:

The cookie's diameter is 14 cm. How much is the radius?

diameter = 2 * radius

radius = 1/2 diameter

14 : 2 = 7

solve for x, find the measure of all angles hurryyyyyyy! ​

Answers

Answer:

x=6 as 180 in triangle take away 150 30 by 5 is 6

pls help will mark as brainlist ​

Answers

Step-by-step explanation:

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 6 side

n=6

sum of interior angles of a hexagon =(6−2)×180°

=720°.

______________________________________

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 10 side

n=10

sum of interior angles of a hexagon =(10−2)×180°

=1440°.

hope this helps you.

A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.

please help

Answers

there will b 156.2 acres in each park. hope this helps!!

Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8

Answers

You have to take a poll.

i need help on this pls

Answers

Answer:

the answer is 15 bc 30-15=15

Step-by-step explanation:

Answer:11?

Step-by-step explanation:30 buldogs

                                             pirates 10 plus star 9 19 in 30 wwhats left

Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Answers

Answer: $920

Step-by-step explanation:  

$115x8=$920 which is the total cost of eight tickets

First divided five from 115 and then the answer I got was 23 then I multiplied it by 23 and then I got 184 and so, Eight tickets cost $180

what is the simplest form 2 sqrt 3 / sqrt 6

Answers

howdy the answer is A

sqrt 2

l=3cm×b=4cm×h=2cm
Can u pls help​

Answers

Answer:

24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm

Step-by-step explanation:

3 x 4 x 2 = 12

If 7 boxes of crackers have a total of 98 crackers, how many crackers are in each
box?

Answers

14 in each box. 98/7=14

Answer:

1 box = 14 crackers.

Step-by-step explanation:

7 boxes = 98 crackers

=> [tex]\frac{7 boxes}{7} = \frac{98 crackers}{7}[/tex]

=> 1 box = 14 crackers.

Therefore, each box will have 14 crackers.

Hoped this helped.

[tex]GenuisUser[/tex]

What is the quotient of 4/5÷1/3

Answers

Solving:

The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.

[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]

Okay?!

I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.

Answers

Answer:

tan 72 = 6/x

OR

cos 72 = x/15

Step-by-step explanation:

A good way to remember trig ratios is this

SOH CAH TOA -

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

You can find x in a few different ways.

If you did tangent, it would be

tan 72 = 6/x (because tangent is opposite over adjacent)

Or, there's also the pythagorean theorem...

Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ? ​

Answers

Answer:

243 km

precio de los kilómetros: $2357.10

Step-by-step explanation:

precio total = tarifa mínima + precio de los kilómetros

Para x kilómetros,

P = 490 + 9.7x

P = 2847.1

490 + 9.7x = 2847.1

9.7x = 2357.1

x = 243

precio de los kilómetros: 243 × $9.70/km = $2357.10

Respuesta: 243 km

precio de los kilómetros: $2357.10

-4 + (-3) – 8 + (-2) =

Answers

So, u can rewrite it as -4-3-8-2 which equals -17. This is because all the numbers are negative even the 3 and 8. +(-3) would turn into a -3 because one negative and one positive turn into a negative

The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.

Answers

Answer:

a. Use two sets of coordinates to write an equation to describe the relationship.

m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]

y = 8x

b. Interpret the equation in words.

Each roller coaster car holds  8 passengers.

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

Answers

The answer will be a drum please the answer is A

i need some help with simple algebra! using pemdas :p

Answers

Answer:

the answer is 69

Step-by-step explanation:

the step by step explanation is that 2+2+4

pemdas

perenthasy

exponents

multiplication

division

adition

subtraction

circle math problem,, area

Answers

Answer:

(E). (33/2)π + 18  

Step-by-step explanation:

The reflex angle = 360 - 30 = 330 degrees.

Length of the curved part = (330/360) * 2π*9 = 33π/2.

The length of the straight lines = 9 + 9 = 18

So the required perimeter = 18 + 33π/2

grace records the air temp throughout the day in a table. convert graces measurements from degrees °F to degrees °C using formula shown below

Answers

Answer:

...

Step-by-step explanation:

Which expression is equivalent to -14x + 28?

Answers

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

PLEASE HELP FIND THE MEASURE OF X

Answers

Answer:

28.3

Step-by-step explanation:

if a side is 90 degrees, this makes the two other angles 45 degrees.

if the base side is 40, this makes the two other sides 28.284.

rounding 28.284 to the nearest tenth, we get 28.3

You have 64 coins, consisting of pennies, nickels, and quarters. The value of the coins is $4.60. You also know that you have three times as many nickels as quarters. Find the quantity of each type of coins


Number of pennies =


Number of nickels =


Number of quarters =

Answers

Answer:

There are 20 pennies, 33 nickels and 11 quarts.

Step-by-step explanation:

Total number of coins = 64 Amount of money = $4.60 = 460 cents

x = pennies   y = nickels   x = quarters

y x 3 = x

x + y + z = 64 coins

x + 5y + 25z

x + 4z = 64

x + 40z = 460

x = 20  z = 11

y = 3z = 33

19. Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?



Answers

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

True or False?
If you graph the points (2,4) and (-1.-1). Do they would represent a proportional
relationship.

Answers

Answer:

1

Step-by-step explanation:

how to do the first question?​

Answers

Answer:

DUDE MAYBE SHOW THE GRAPH ????

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