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

In this system of equations below solve for x
2x+2y=12
x-4y=6

Answers

Answer:

X = 6

y = 0

Step-by-step explanation:

use elimination method. Multiply (x -4y = 6) by -2.

2x + 2y = 12

-2x + 8y = -12

add them together

10y = 0

y = 0

plug in for y

x - 4(0) = 6

x = 6

SOS!! Please help, I have no idea what I'm doing smh

Answers

Answer:

slope of st is -0.25

slope of tu is 1

slope of us is -0.25

slope of sv is 1 so it is a parallelogram. the slope of the parallel lines needs to be the same to be a parallelogram. to find the slope, you need to find the change from the points of the referenced line, for example, slope of st you would label each point as x1, y1 and x2,y2. it does not matter which one you label and you can change them for each different line. you would then find the difference by subtracting (y2-y1) divided by (x2-x1) so 4-3=1 and 1-5 is -4. you then divide 1/-4 is -0.25. you the follow the steps for each line. is the parallel lines have the same slope, it is a parallelogram

Mia buys 50 coats at $28 each she sells 38 of these coats at$49 each she sells the rest of the coats at$40 each find the overall percentage profit mia has made on these coats

Answers

Answer:

67.28 %

Step-by-step explanation:

Given that:

Price at which the coats are bought = $28

Number of coats bought = 50

Total money spent on buying the coats = 50 [tex]\times[/tex] 28 = $1400

Number of coats sold at $49 each = 38

Money earned by selling 38 coats at $49 each = $1862

Number of coats left = 50 - 38 = 12

Money earned by selling 12 coats at $40 each = $480

Total money earned = $1862 + $480 = $2342

To find:

The overall profit percentage made by Mia ?

Solution:

Formula for Profit percentage:

[tex]Profit\% = \dfrac{Sales\ Price - Cost\ Price}{Cost\ Price}\times 100\\\Rightarrow Profit\% = \dfrac{2342 - 1400}{1400}\times 100\\\Rightarrow Profit\%=\dfrac{942}{1400}\times 100\\\Rightarrow Profit\%=67.28\%[/tex]

Therefore, overall percentage profit made by Mia by selling the coats= 67.28 %

HELLPPPPPPP BRAINLIEST



What is the constant term in the expression 4x3y + 8x2 + 6x + 5? (Input a numeric value only.) (3 points)

Answers

Answer:

the answer is 5

Step-by-step explanation:

There are 16 circles and 12 squares. What is the simplest ratio of squares to circle

Answers

Answer:

4:3

Step-by-step explanation:

divide each by 4

What time is it in New York, now

Answers

Answer:

7:17 PM

Step-by-step explanation:

Answer:

7:17................

2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.

Answers

Step-by-step explanation:

Please gimme brainliest

I hope it's correct

Pranav's school is selling tickets
to a fall musical. On the first
day of ticket sales the school
sold 12 adult tickets and 7
student tickets for a total of
$124. The school took in $20
on the second day by selling 1
adult ticket and 3 student
tickets.
What is the price each of one
adult ticket and one student
ticket?

Answers

Adult tickets are 8 dollars and student tickets are 4!

Plsssss help I needdd help

Answers

Answer:

';ouiehdgfw;i[hgvc

Step-by-step explanation:

its very good have patience gurrrrrrrrrl lol

Which ratio is equal to 27:817 OA 1:9 OB. 2:9 Oc. 3:9 OD. 3:27 O E 9:12​

Answers

Answer:

54 : 1634

Step-by-step explanation:

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?

Answers

Answer:

25\100*500=125

1/3*125=41.66

41.66 millilites is left in the bottle

Step-by-step explanation:

Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.


Help?

Answers

Answer:

Y axis is dependent

Step-by-step explanation:

and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol

Help me ASAP pls with this

Answers

Answer:-15,20

Step-by-step explanation:

-15 and then 20 :) I hope this helps

Please help I needa finish this

Answers

Answer:

i think its d

Step-by-step explanation:

if you look up quadrilaterals you find shapes like rectangles, squares, and diamonds. if you look up parallelograms you find the same thing, so i think it's d. sorry if im wrong i havent done this stuff in a while

Answer:

I am sure the answer is C, if not I'm very sorry




Naomi has earned $135 mowing lawns the past two days. She worked 5 1/2 hours yesterday and 5 3/4 hours
today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to
mow lawns?

Answers

Naomi record total of 11 1/4 hours so I convert the hours to decimal form for easier easier division 11.25. divide 135 by 11.25 and get $12 an hour

HELPPP!!!!!!

Tiana and Vince are practicing their typing skills in computer science class. They both typed the same number of words, but Tiana took less time. They are participating in a typing competition next week. In the competition, they will have the same amount of time to type. Who will likely type more words during the competition?

Answers

Answer:

tiana

Step-by-step explanation:

because she took less time in the practise

Answer:

Tiana

Step-by-step explanation:

It is Tiana because she took less time while practicing.

I needdd helpp :)))))

Answers

I can’t see the scenario on top so can’t rlly help u out sorry

Solve the absolute value equation.

4 − |x| = 1 25 POINTS

Answers

The answer is X=-3,5

Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.

Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.

X -4, -3,-2,-1,0
y-

Answers

the rest of the table is Y: 2, -1,-2,-1,2 then graph it using these points (-4,2) (-3,-1) (-2,-2) (-1,-1) (0,2)
Oh yeah lol yeah I’m pretty

Add.
92 +53
Enter the correct answer in the box.

Answers

Answer:

145

Step-by-step explanation:

iris has 120 songs on her playlist each week she downloads 4 new songs. write an expression to show the total number of songs on iris's playlist after W weeks.

Answers

The answer is 4w+120.

Answer:

S(w)=120+4w

Step-by-step explanation:

The function has a base constant of 120 songs. Then for each week, 4 songs are added. On week 1, w=1, and thus it is 120+1(4). On week 2, w=2, and thus it is 120+2(4).

In order for the parallelogram to be a square, x=?

Answers

Answer:

x=7   Thx pls mark as brainliest

Step-by-step explanation:

In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.

For this square to be a parallelogram, all  

4

angles need to be  

90

º

. This will give us to the two sets of parallel sides.

Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to  

90

.

What is the correct answer?

Answers

Answer:46

Step-by-step explanation:

The correct answer is 46

Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?

Answers

Answer:

$1830

Step-by-step explanation:

Step one:

Ted's monthly salary =$850.00

since he made sales over $10,000. that is he sold supplies worth $14,000

his commission will be 7% of $14,000

=7/100*$14,000

=0.07*$14,000

=$980

Required

His total earnings

Step two:

Hence his total earnings is, his monthly salary  plus 7% commission of  supplies worth $14,000

=$850.00+$980.00

=$1830

Do Anybody know this ?

Answers

Answer:

R= 30-9t.... I think

Step-by-step explanation:

(x+5)(x-2) Expand and simpliy

Answers

Step-by-step explanation:

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

x² -2x + 5x -10

x² + 3x - 10

Answer:

the answer is x^2 + 3x - 10 I guess!

Step-by-step explanation:

This is an algebraic equation so-

What is the volume of the prism

Answers

The volume of the prism is 72

How to calculate the volume of the prism?

The height of the prism is 3 ft

The base of the prism is 24 square feet

The formula for volume of a prism is base multiplied by the height

Volume= base × height

= 3 × 24

= 72

Hence the volume of the prism is 72

Read more on volume here
https://brainly.com/question/30595681

#SPJ1

What is the value of x y and z
I’ll give brainliest

Answers

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

please give thanks by clicking the heart button! :)

Those two please I really need help

Answers

Answer:

Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope

the first one is B because the line is not going up or down so the slope is 0
the second one is C because the points do not form any type of straight line so it can’t form any negative or positive correlation

What is the fraction that is halfway between 1/3 and 3/2

Answers

Answer:

11/12

Explanation:

1/3 + 3/2 = 11/6

11/6 x 1/2 (average is halfway) = 11/12

Answer:

-1/12.

Step-by-step explanation:

One way to do this is as follows

Answer = (3/2 + 1/3) / 2

= (9/6 + 2/6) / 2

= 11/6 / 2

= 11/12.

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