A city's bus system has a red-line and a blue-line. Both a red-line bus and a blue-line bus are currently at the City Hall Station. If a red-line bus arrives at the City Hall Station every 12 minutes and a blue-line bus arrives at the City Hall Station every 10 minutes, after how many minutes will the two buses next arrive at the City Hall Station at the same time?

Answers

Answer 1

Answer:

5.45minutes

Step-by-step explanation:

Given that the arrival time of the redline bus= 12minutes

arrival rate = 1/12 arrival per minutes

arrival time of the blueline bus= 10minutes

arrival rate = 1/10 arrival per minutes

the combined arrival rate is given by the expression

let redline be A

and blueline be B

and let the combines arrival rate be x

A+B/(A*B)=1/x

1/12+1/0=1/x

12+10/12*10=1/x

22/120=1/x

x=120/22

x=5.45minutes


Related Questions

Need help, will mark brainliest plus 50 points.

Lia gets paid $450 a week plus a
5% commission on her sales. She
hopes to earn at least $600
dollars each week.
a. Write an inequality to
represent the verbal
description.
b. How much does Lia
need in sales to make
her goal?

Answers

Answer:

Step-by-step explanation:

To write the inequality, we need to first caculate the amount of money that Lia would ACTUALLY earn each week and compare that to her goal of $600.

We cannot actually get the amount of money that Lia would get because we don't know her sales so we will represent the sales with a X.

450+ X(5%).  -This the amount of money she would egt from her sales. We need to also figure out 5% of 450 to solve the next part of the equation. That is $22.5. 600-450=150/22.5= 6.6666- which is about 7 sales.

What is the equation of this line?
y= 4/5x-3
y=5/4x-3
y=4/5x+3
y=-4/5x-3

Answers

Answer:

the answer is y=4/5x-3

The equation of the line shown in the graph would be, [tex]y = \dfrac{4}{5} x - 3[/tex]

Hence, option 1 is true.

Given that;

Two points on the line are (5, 1) and (0, -3).

Used the concpet of the equation of the line,

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, [tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Now,

Since, The equation of line passes through the points (5, 1) and (0, -3)..

So, We need to find the slope of the line.

Hence, the slope of the line is,

[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \dfrac{(- 3 - 1)}{(0 - 5)}[/tex]

[tex]m = \dfrac{(- 4)}{( - 5)}[/tex]

[tex]m = \dfrac{(4)}{( 5)}[/tex]

Thus, The equation of the line with slope 4/5 is,

[tex]y - 1 = \dfrac{4}{5} (x - 5)[/tex]

[tex]y - 1 = \dfrac{4}{5} x - 4[/tex]

[tex]y = \dfrac{4}{5} x - 4 + 1[/tex]

[tex]y = \dfrac{4}{5} x - 3[/tex]

Therefore, The equation of the line will be;

1) [tex]y = \dfrac{4}{5} x - 3[/tex]

So, option 1 is true.

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ6

Write an equation to represent the following statement.
j is 14 less than 22
Solve for J

Answers

Step-by-step explanation:

22-14=8 so J=8

The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that represents the cost C(x) (in $) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T(a) for a dollars spent on tickets. c. Find (T ∘ C)(x). d. Find (T ∘ C)(6) and interpret its meaning in the context of this problem.

Answers

Step-by-step explanation:

Given

cost of ticket=$60

a. the cost of x tickets is

C(x)=60x

b. sale tax of 5.5% of $60 is 5.5/100*60

   0.55*60=$3.3

processing fee = $8

the total cost T(a) for a dollars spent on tickets.

T(a)=60a+3.3+8

T(a)=60a+11.3

c. Find (T ∘ C)(x).

T(x)=60x+11.3

d. Find (T ∘ C)(6)

T(6)=60*6+11.3

T(6)=360+11.3

T(6)=$371.3

This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3

What is the value of D(12)

Answers

Answer:

If  the question is looking for an absolute value  then the answer is 12.

Absolute value |-a|  = a.

You ride the train to an after-school job every weekday. The ticket for the trip from school to work costs $3. The ticket for the trip from work back home costs d dollars. How much do you spend on train tickets each day? How much do you spend in a 5-day week?

Answers

Answer:

each day= 3+d

each 5-day week= 15+5d

Step-by-step explanation:

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices
X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Answer:

ur answer is.. 90 degree

Step-by-step explanation:

Triangle ABC was transformed using the rule (x, y) -> (-y, x). The vertices of the triangle are shown.

Which best describes the transformation?

would be a R0, 90 degree  

i jst took the quiz....

Answer:

90 degrees

Step-by-step explanation:

A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?

Answers

Answer:

3x + 4y = 16

x = 8

y = -2

Hope this helps! Please mark Brainliest!

What is 1.2 simplified

Answers

Answer:

it is 1 2/10 but simplified to 1 1/5

Step-by-step explanation:

What are all the like terms of 5x

Answers

Answer:

a number times 5

Step-by-step explanation:

Billy walked 52 miles in 3 days how many miles could he walk in 10 days?

Answers

Answer:

He could walk  173 [tex]\frac{1}{3}[/tex] miles in 10 days

Step-by-step explanation:

To solve this problem let us use the ratio method

∵ Billy walked 52 miles in 3 days

∵ We need to find how many miles could he walk in 10 days

→ Use the ratio method

→ Miles  →  Days

→  52     →   3

→   x       →   10

→ x is the number of miles

→ By using cross multiplication

x × 3 = 52 × 10

∴ 3x = 520

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{520}{3}[/tex]

x = 173 [tex]\frac{1}{3}[/tex] miles

He could walk  173 [tex]\frac{1}{3}[/tex] miles in 10 days

Please help! Select the graph of the solution. 2x - 1 > 5

Answers

Answer:

See photo below

Step-by-step explanation:

First, start solving it. Add 1 to each side, so it now looks like this: 2x > 6Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x > 3Now, look at your options and pick the graph that fits the solved equation. The last option matches the solved equation exactly, so that's the answer.

I hope this helps!

x>3
add 1 to both sides than divide by 2 and you get x is greater than 3
your graph would be open circle on the 3 going right

Solve for j.

20 − 17j = –18j

j =

Answers

Answer:

[tex]\boxed {j = -20}[/tex]

Step-by-step explanation:

-Solve for the value of [tex]j[/tex]:

[tex]20 - 17j = -18j[/tex]

-Take [tex]18j[/tex]and add it to [tex]17j[/tex]:

[tex]20 - 17j + 18j = -18j + 18j[/tex]

[tex]20 + j = 0[/tex]

-Subtract both sides by [tex]20[/tex]:

[tex]20 - 20 + j = 0 -20[/tex]

[tex]\boxed {j = -20}[/tex]

So, the value of [tex]j[/tex] is [tex]-20[/tex].

Find the product of-10/5 x (-15/5)

Answers

Answer:

6

Step-by-step explanation:use math- way it will help you in future

Answer:

6

Step-by-step explanation:

Equation: [tex]-\frac{10}{5}\cdot -\frac{15}{5}[/tex]

1). Apply [tex]-a(-b)-ab[/tex]: [tex]-\frac{10}{5}(-\frac{15}{5}=\frac{10}{5}\cdot \frac{15}{5}[/tex]

2). [tex]\frac{10}{5}[/tex] simplfies to 2, so [tex]2\cdot \frac{15}{5}[/tex]

3). [tex]2\cdot 3[/tex]

Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour

Answers

The answer to your question is, The pool dropped 1.38/16 inches per hour.

I cut along piece of wood into 50cm pieces I manage to cut w, pieces of wood and there is 20cm left over . How long was the wood to start with

Answers

Answer:

50w+20 (cm)

Step-by-step explanation:

There would be w pieces of 50cm wood pieces and one 20cm wood piece.

wood length = 50w +20

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

Result = length * number

Result = 50 * w

Result = 50w

Lastly, add the leftover to get the actual length of the wood

Woodlengrh = result + leftover

Substitute 50w for Result and 20 for Leftover

woodlength = 50w + 20

Hence, the length of the wood is 50w + 20

Sonia is walking 2.6 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M.

Answers

Answer:

I belive, it is A I'm not sure

Step-by-step explanation:

Which of the following represents a fraction that converts to a repeating decimal with a value less than one?

1/2
4/3
9/10
4/9

Answers

Answer:

1/2

Step-by-step explanation:

took test

Answer:

4/9

Step-by-step explanation:

um no, that's wrong, the correct answer is 4/9 because it is a repeating decimal and is less than one

It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. Which of the following equations could be solved to find the shortest or longest times she might drive?

Answers

Answer:

addition

Step-by-step explanation:

add 40+8 and you get 48 :P

A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the journey. Find the original speed of the bus.

Answers

Answer:

Step-by-step explanation

Let's say d = distance, r = speed and t = time

We know the distance formula is :

distance = speed x time

d = r multiplied by t

d = rt

If the speed is 15km/hr, the time would be 30 minutes shorter.

Since d = rt,

90 = 15t

t = 6,

This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.

Originally though, the journey takes 30 minutes longer.

So we can say t = 6.5 hrs , and we know d = 90

Now we use the distance formula:

d = rt, since we want to find the original speed, we want to find r.

Speed = distance/time

r = d/t

r = 90/6.5

r = 180/13

Therefore the original speed is 180/13 km/hr

Match the graph with the correct equation

A: Y= -2X + 5
B: Y= -X + 3




From: SLOPE-INTERCEPT FORM: PART 1

Answers

Answer:

The equation for this picture(graph) is:

y = -x+3

Slope: Rise/run

= 3/3

= 1

= -1 (negative because the slope is decreasing).

Y-intercept is where the line touches the y-axis

What is the area of triangle abc? Pls explain thoroughly.

Answers

Answer:

0.25 ( I guess)

Step-by-step explanation:

use 1/2 (b*h) formula

There were 6 eggs
I broke 2, I fried 2, and I ate 2.
How many eggs are left?!

Answers

Answer:

4

.

.

.

.

.

.

.

.

.

pls rate ..

ANSWER

yes it is

you have 6 eggs right you remove 2 eggs from the 6 eggs which means you have 4 then the 2 you removed you fry them then the 2 eggs you fry you eat those same 2 eggs and then it leaves you with 4 eggs

"the quotient of a number and 4"

Answers

4 times X is the answer

writing equations of lines

Answers

Answer:

- 10/8= -5/2

Step-by-step explanation:

You go down 10 and right eight to get to each point: rise/run, or in this case fall/run. Simplified it would be -5/2.

Hope this helps ❤

The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?

Answers

Answer:

11 7/10 miles below sea level

Step-by-step explanation:

Given the following :

Peak of Mount everest = 5 1/2 miles above sea level

Bottom of Mariana trench = 6 9/10 miles below sea level

If mount everest is placed at the bottom of Mariana trench

. It's be will be :

Since sea level could be considered as a 0 point;

Adding the height and depth of both should give us the depth below sea level:

(6 9/10 + 5 1/2) miles

6 + 5 (9/10 + 1/2)

11 (9 + 5)/10

11 14/10

11 7/10

= 11 7/10 miles below sea level

Jackie is diving 25.65 feet below sea level and then dives down another 16.5 feet. Then he rose 12.45 feet. What is Jackie’s new depth?

Answers

Answer:

-29.7

Step-by-step explanation:

Assuming sea level is at 0, you would first subtract 25.65 from 0 to indicate diving 25.65 feet BELOW 0. Then, you subtract 16.5 from that. Then, add 12.45 to that number to get the answer after the diver rose 12.45 feet.

0-25.65= -25.65

-25.65-16.5= -42.15

-42.15+ 12.45= -29.7

OR 29.7 feet below sea level.

what is the value of the 2 in 0.812

Answers

Answer:

the two is in the thousandths place

Step-by-step explanation:

the eight is in the tenths, and the one is in the hundredths

Answer:

.8 tenths

.01 hundredths

.002 thousandths

so the value of 2 would be 2 thousandths or .002 thousandths

ASAP PLEASE ANSWERRR find the value of x. 3x+34=16 ​

Answers

Answer:

-6

Step-by-step explanation:

subtract 3 from both sides and that leaves 3x=-18

then divide 3 by -18 and that equals -6

Answer:

x= -6

Step-by-step explanation:

Step 1: Subtract 34 from both sides.

3x+34−34=16−34

3x=−18

Step 2: Divide both sides by 3.

3x /3  =  −18 /3

x=−6

someone help me please​

Answers

Answer:

25

Step-by-step explanation:

Other Questions
What are the complete factors of 2x6 12x4? what is the distance of LM __ is when you take a photo of an object move the object take another photo and repeat the playback in sequence The more dopamine messengers in your brain, the less sensitive you are to pain.TrueFalse On one show. Tyler learns that meerkats spend the late afternoon in their burrows. They are so lazy!" he complains. James explains that meerkats rest in the shade during the hottest part of the day. That behavior keeps their body temperature from rising too high.a. getting food for energyb. finding a living space c.maintaining homeostasis d. getting water to drink Need help Quick Pls Show all work will give branliest 1. What's the name of the line segment in the diagram below?UO A. UTO B. TUO c.TTO D. f why were Europeans so frightened by the Vikings i need help in this qustion.each unit costs 14p.how much do 942 units costs? Why Salt? Valuable Little Cubes - Constructed Response Combine Like Terms 9x + 5 6 8x + 2 -6s + 7 + 10x 5 Distribute -5(2x + 7) 4(-3x + 6) Equations: Solve for the variable (show all work circle answer) 2y = -8 x7 = 6 2x 6 = 10 what force dose dark energy have on the universe? were did many of the egyptian gods originate from Compare how both prokaryotes and eukaryotes use two of the cellstructures listed and describe the common functions of these structures Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. one pound of oranges cost $0.75 more than one pound of bananas let b represent the price per pound of bananas. Which equation represents the situation, and what is the price per pound of each fruit? 3b + 2b = 4.50; $0.90 per bananas, $0.90 per pound of oranges 3b + 2(0.75) = 4.50; $1.00 per bananas, $1.75 per pound of oranges 3b + 2(b + 0.75) = 4.50; $0.60 per bananas, $1.35 per pound of oranges 3b + 2b = 4.50; $1.35 per bananas, $0.60 per pound of oranges The y-intercept is... Someone please help thanks. What is 2.8 divides by 0.4? Please Show your work. How was your experience in creating an artwork using a drawing software?How does it compare w/ the traditional way of drawing with the use of paper and pencil? Hi what is the slope of the line on the graph below 1/5 1/3 3 5