A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?

Answers

Answer 1

Answer:

280 km

Step-by-step explanation:

Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say [tex]b_2[/tex],  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.

The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km

[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]

and the distance traveled by the second bus, [tex]d = 80t[/tex] km

[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]

Now, equation the equation (i) and (ii), we have

[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]

Hence, both the bus will meet at a distance of 280 km from the station.


Related Questions

Can someone help me pls

Answers

Answer:

(-0.5, 0)

Step-by-step explanation:

The easiest way to do this question is by going to the left 0.5 and seeing how far you need to go up or down.

please help will give brainliest ​

Answers

10.Let's solve for f.

gx=fx−4

Step 1: Flip the equation.

fx−4=gx

Step 2: Add 4 to both sides.

fx−4+4=gx+4

fx=gx+4

Step 3: Divide both sides by x.

fx/x=gx+4/x

The correct answer would be f= gx+4/x

11. Let's solve for f.

hx=12fx+2

Step 1: Flip the equation.

12fx+2=hx

Step 2: Add -2 to both sides.

12fx+2+−2=hx+−2

12fx=hx−2

Step 3: Divide both sides by 12x.

12fx/12x = hx-2/12x

The correct answer would be F= hx-2/12x

12.  Let's solve for f.

kx=(−2f)(−x)

Step 1: Flip the equation.

2fx=kx

Step 2: Divide both sides by 2x

2fx/2x= kx/2x

The correct answer would be F= k/2

Side note: "/" is supposed to represent division and fractions

Answer:

10. f(x) was translated 4 units down

11. f(x) is stretched vertically by a factor of 12 and translated 2 units up

12. f(x) is stretched vertically by a factor of 2, reflected vertically along the x-axis, and reflected horizontally along the y-axis

Step-by-step explanation:

you have to explain what happened to f(x)

start by following the process SRT (stretch, reflection translation) for SR y then x transformations and for T x translation then y translation

SOMEONE PLEASE HELP!!!!

Answers

Answer: it’s C

T r u s t M e ;)

The GFC is 3a^2b^2
The second response

how many times does 10 go into 2280

Answers

Answer:

228

Step-by-step explanation:

solve for x parallel ​

Answers

Answer:

25

Step-by-step explanation:

3x - 5 = 2x + 20 ( corresponding angles)

3x - 2x = 20 + 5

x = 25

Please do this because this is very hard for me

Answers

Answer:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

Step-by-step explanation:

Answer:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

Step-by-step explanation:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $225. Now the cost is $300. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price? ​

Answers

Answer:

33.33% increase. 55.56% increase.

Step-by-step explanation:

Pls helppppppppp!!!!!!’

Answers

Answer:

it c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

NEED HELP ASAP!!! 16 points !!!

Answers

Answer:

will it be b

Step-by-step explanation:

what is a term called that has no variable? constant or coefficient

Answers

Answer: It is constant

Answer:

Constant.

Step-by-step explanation:

Constants are any number that does not have a variable such as x or y, so if they do not have variables, there definitely would not have coefficients. Examples of constants are 2, 5 and 67.

Coefficients are like the 2 in 2x, the 5 in 5y and the 67 in 67xy. All of these numbers have a variable.

i need help 10 points

Answers

Answer:

B

Step-by-step explanation:

x intercepts is (- 1/2,0)

y intercepts is (0,2)

5. Identify the slope and the y-intercept in the follow
equation: *
(5 puntos)
y = 5x + 3
Escriba su respuesta

Answers

Answer:

Slope (m) = 5

Y-intercept (b) = 3

Step-by-step explanation:

The equation of a line is y = mx + b, where (m) is the slope and(b) is the y-int.

Knowing this, we see that the slope is 5 and the y-int is 3.

hope this helps!

Liberty Middle School’s enrollment increased to 660 students. This is an increase of 10% over last year’s enrollment. What was last year’s enrollment?

Answers

Answer:

600

Step-by-step explanation:

Last years enrollment was 100% of the number.

This year, the enrollment went up by 10%, so now, it's 110% of last years number.

Let last year's enrollment be x.

110% of x is 660

1.1x = 660

x = 660/1.1

x = 600

Answer: 600

Answer:

600

Step-by-step explanation:

rewrite as a simplified fraction what would it be

Answers

Answer:

37/45

Step-by-step explanation:

YEPPP THAT'S ITT DJJSJZJZK

Answer: The answer is 44/50 and the percentage is 88

Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!

Which absolute value number sentence is false? a. 171 +1-6 = 13 b. 1-151 - 1-8] = 7 c. 1-12 + 1-2 = 10 d. 1111 - 1-41 = 7 ​

Answers

Answer:

C.

Step-by-step explanation:

This is because the absolute value of -12 is 12 and the absolute value of -2 is 2. So then the equation would look like this: 12 + 2 = 10, which is a false equation.

Hope this helps!

Find the next item in the pattern.
1, 10, 18, 25,...
30
28
38
31

PLS ANSWRR

Answers

Answer: 31

Step-by-step explanation: It is gradually going up in numbers going down.

From 1 to 10 is 9

From 10 to 18 is 8

From 18 to 25 is 7

So from 25 to 31 is 6.

Hope this helps you! ;)

Answer:

31

Step-by-step explanation:

You add 9, then 8, and so on

Is y = 9x + 1/2 proportional?

Answers

Answer:

Yes it is

Step-by-step explanation:

The equation is proportional since as the value of x is increasing, y is also increasing

Equations can either be direct, inverse, or even joint. For instance, if y is directly proportional to x, this is expressed as:

y = kx

k is the variation constant

For a proportional equation, there an increase in a variable will lead to a decrease or increase in other variables

Given the expression y = 9x + 1/2,

when x = 1

y = 9(1) + 1/2

y = 9.5

when x = 2

y = 9(2) + 1/2

y = 18.5

We can see that the equation is proportional since as the value of x is increasing, y is also increasing

Learn more here: https://brainly.com/question/21284698

Show work on this chekc if it correctly people

Answers

Answer:

See below

Step-by-step explanation:

1. Translation = (3 - 2, - 4 + 3) = (1, - 1)

2. Reflection over x axis = (3, 4)

3. Reflection over y axis = (-3, - 4)

4. Rotation 90° clockwise = (4, 3)

5. Rotation 180° counter clockwise = (-3, 4)

6. Dialation of 3 = (3*3, - 4*3) = (9, - 12)

What is the value of KL?

Answers

Answer:

KL = 40.5

Step-by-step explanation:

From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,

⅔ of KL = LP

LP = 27

Plug in the value of LP

⅔(KL) = 27

Multiply both sides by 3

2(KL) = 3*27

2(KL) = 81

Divide both sides by 2

KL = 81/2

KL = 40.5

On a coordinate plane, how are the locations of the points (5 , -7) and (-5 , 7) related?

A.
reflection across the y-axis
B.
reflection across the x-axis
C.
locations unrelated
D.
reflection across both axes

Answers

Answer:

its c or d but i think c

Step-by-step explanation:

A simple off bacteria is debating according to the half life model. If the simple begins with 800 bacteria, and after 18 minutes there is 240 bacteria, after how many minutes will there be 40 remaining

Answers

Answer:

After 43 minutes, the bacteria will be 40 remainings.

Step-by-step explanation:

Given that:

Initial population of bacteria [tex]A_o[/tex] = 800

After time (t) = 18 mins

A = 240

Using the model:

[tex]A = A_o e^{k*t}[/tex]

[tex]240=800 e^{k*18}[/tex]

[tex]\dfrac{240}{800}= e^{18k}[/tex]

[tex]0.3= e^{18k}[/tex]

By applying natural log on both sides, we get:

In(0,3) = 18k (In e)

- 1.20397 = 18 k * (1)

18 k = -1.20397

k =  -1.20397/ 18

k = - 0.06688

k ≅ -0.07

After time (t), the bacteria population (A) = 40

Now;

[tex]40 = 800 e^{k*t}[/tex]

[tex]\dfrac{40 }{800}= e^{-0.07*t}[/tex]

[tex]0.05= e^{-0.07*t}[/tex]

In (0.05) = -0.07t * In (e)

- 2.9957 = - 0.07t

t = - 2.9957/ -0.07

t = 42.795

t ≅ 43 minutes

Thus, after 43 minutes, the bacteria will be 40 remainings.

Write the equation of the line that is parallel to y = -6x + 10 and crosses the y-axis at -4.

Answers

Answer:

y= -6x-4

Step-by-step explanation:

As two lines are parallel, their slope is same which is -6

Now, use:y-y1=m(x-x1)

y-(-4)= -6(x-0) (y1=-4,x1=0, cause the equation of y axis is x=0)

So,y= -6x-4

Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $36. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?

Answers

Answer:

30 tiles need to buy for same cost in both store.

Step-by-step explanation:

Let x be the number of tiles to buy for same cost in both store.

18+0.69 · n = 1.29 · n,

1.29n -0.69n =18 or

0.6n =18

n =18/0.6=30

Therefore, 30 tiles need to buy for same cost in both store.[Ans]

Answer:

I think you need to cross multiply

HELP ME 50 POINTS RN.

Answers

Answer:

the last one. hope I help u

Answer:

S<30

need explain that?

I need help with an explanation

Answers

Answer:

18

Step-by-step explanation:

First add what you do know: -2 + 9 = 7

Next, to find the answer subtract that from 25 to find what is left over and that is you answer!

25-7=18

Hope that helped!! :)

A
Solve the triangle.
19.3
b
45°
105
B
a

Answers

The answer is 30 degrees

(11 brainly points!) What fraction is equivalent to fraction numerator negative 3 over denominator 7 end fraction?
A.
fraction numerator 3 over denominator negative 7 end fraction
B.
fraction numerator negative 3 over denominator negative 7 end fraction
C.
fraction numerator negative 7 over denominator 3 end fraction
D.
7 over 3

Answers

Answer:

d

Step-by-step explanation:

because 3 is negative and needs to be at the bottom,hope this help

A snake dives towards deeper water at a rate of 18 inches per second. If the snake continues at this rate for a total of 9 seconds, which expression represents this situation?

Answers

The answer would be the snake drives in for miles

Which points on this vertical number line best represent the locations of 2.5 and -
3
G
2
1 H
0
-191
Gand)
Previous
חו
Tyne here to search

Answers

Answer:

i think 1h but wait for someone else to answer to

help meeeeeeeeeeeeee pleasee

Answers

Answer:

obtuse triangle because the angle is larger than 90 degrees.

Step-by-step explanation:

Answer:

obtuse

Step-by-step explanation:

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