Bus A stops at a certain bus stop every 25 minutes. Bus B stops at the same stop every 40 minutes. If both buses are at the bus stop at 9:30 a.m., when is the next time they will be there together again? A. 12:20 p.m. B. 12:50 p.m. C. 1:10 p.m. D. 1:30 p.m.​

Answers

Answer 1
Basically we are finding the least common multiple of 40 & 25:

25 : 1,25,50,75,100,125,150,175,200

40: 1,40,80,120,160,200

They will meet again after 200 minutes.

[tex]x = \frac{200}{60} = 3 + \frac{20}{60} [/tex]

So they will meet again after 3 hours and 20 minutes;

9:30 + 3:20 = 12:50 p.m.

That's your answer

Answer 2

The next time where both bus A and bus B are together at a stop is

12:50 pm.

Given,

Bus A stops at a certain bus stop every 25 minutes.

Bus B stops at the same stop every 40 minutes.

If both buses are at the bus stop at 9:30 a.m.

We need to find when is the next time they will be there together again.

How many minutes in one hour?

1 hour = 60 minutes.

Find the total minutes traveled by bus A after 8 stops.
We have,

1 stop = 25 minutes

Multiplying by 8 on both sides.

8 x 1 stop = 8 x 25 minutes

8 stops = 200 minutes

We see that at the 8th stop bus A has traveled for 200 minutes.

Find the total minutes traveled by bus B after 5 stops.
We have,

1 stop = 40 minutes

Multiplying both sides by 5.

5 x 1 stop = 5 x 40 minutes

5 stops = 200 minutes

We see that at the 5th stop bus B has traveled for 200 minutes.

We can say that after 200 minutes of traveling each bus has stopped at the same place.

We have,

Both buses are at the bus stop at 9:30 a.m.

So,

60 minutes = 1 hour

200 minutes

= 60 minutes + 60 minutes  + 60 minutes  + 20 minutes

= 3 hours 20 minutes

So,

9:30 am + 3 hours 20 minutes

= 12:50 pm

Thus the next time both the buses are together is 12:50 pm.

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Related Questions

120 as a product of primes

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Answer: 2 x 2 x 2 x 3 x 5

Step-by-step explanation:

Hope this helps. Those are all primes that equal 120.

Samantha Ran 10x-9 Miles and Sam ran 9x-10 miles WHATS the difference

Answers

Answer:

10x-9-(9x-10)

=10x-9-9x+10

=10x-9x+10-9

=x+1

Answer:x+1

Step-by-step explanation:

I don’t know what to do with

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Answer:

above is the solution to the question

Answer:

the answer will be 5.3. area is 0ne over two base times height

Find the equation of the line below?

Answers

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

first list a few points to find the slope

(1,1) (3, 2)

y2 - y1/x2 - x1

2 - 1/3 - 1

1/2

y = 1/2x + b

to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)

(-1, 0)

0 = 1/2(-1) + b

0 = -1/2 + b

b = 1/ 2

lets check:

point: (-3, -1)

y = 1/2x + 1/2

-1 = 1/2(-3) + 1/2 ?

-1 = -3/2 + 1/2 ?

-1 = -1

Answer:

Slope intercept form;

y = mx + b

If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.

If we look at the slope it rises 1/2

Though we can double check by using two points of the line:-

Δy     y2 - y1

___= ______

Δx      x2 - x1

One point of the line, (1,1)

Second point of the line, (3,2)

Plug it into the formula:

2 - 1          1

____ =  ____, 1/2 is the slope

3 - 1          2

Now we use it in our equation;

y = 1/2x + 0.5

Solve the equation

3/2 - 6x) + 1 = 3 – 5x.

Answers

Answer:

x = - 1/2

Step-by-step explanation:

(3/2 - 6x) + 1 = 3 - 5x

-6x + 5/2 = 3 - 5x

5/2 = 3 - 5x + 6x

5/2 = 3 + x

5/2 - 3 = x

-1/2 = x

x = -1/2

Please mark me the brainliest!?!

[tex] \frac{3}{2} - 6x +1 = 3 - 5x \\ [/tex]

Plus sides 6x

[tex] \frac{3}{2} - 6x + 6x + 1 = 3 - 5x + 6x \\ [/tex]

[tex] \frac{3}{2} + 1 = 3 + x \\ [/tex]

Subtract sides -3

[tex] \frac{3}{2} + 1 - 3 = 3 - 3 + x \\ [/tex]

[tex] \frac{3}{2} - 2 = x \\ [/tex]

[tex] \frac{3}{2} - \frac{4}{2} = x \\ [/tex]

[tex]x = - \frac{1}{2} \\ [/tex]

Done.....♥️♥️♥️♥️♥️

Okay I need help:
F(x)=x^2-5 find f(3)

Answers

f(x) = x^2 -5

Find f(3)

This means find x when it is 3 so just substitute 3 for x

f(3) = 3^2 -5

= 9 - 5

f(3) = 4

Answer:

f(3)=4

Step-by-step explanation:

f(x)=x^2-5

f(3)=3^2-5

f(3)=3*3-5

f(3)=9-5

f(3)=4



What is the domain of the function shown in the mapping?

{x|x= -5, -3,1,2,6)

fuly = -9,-6,0,2,4}

fx|x = -9, -6, -5, -3,0,1,2,4,6}

tyly = -9, -6, -5, -3,0,1,2,4,6}

Mark this and return

Save and Exit

Next

Submit

Answers

*see attachment for the diagrambifbthe mapping

Answer:

{x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.

From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.

These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}

Owen is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop?

Answers

Answer:

60

Step-by-step explanation:

Multiply the days by the die (20) and multiply that by the sections (60)

Which inequality is true when x = 0. 5 and y = 5?
A. 4xy > 11.5
B. 9y + x > 45.5
C. y - 2x < 3
D. 7xy < 18

Answers

Answer:

D. [tex]7xy# < 18[/tex]

Step-by-step explanation:

[tex]4(0.5)(5) > 11.5[/tex] [tex]10 > 11.5[/tex] which is not true

[tex]9(5)+0.5 > 45.5[/tex]  [tex]45.5 > 45.5[/tex] which is not true (they are equal)

[tex]5-2(0.5) < 3[/tex] [tex]4 < 3[/tex] which is not true

[tex]7(0.5)(5) < 18[/tex]  [tex]17.5 < 18[/tex] which is true so the answer is D

-4 (w+1) = -24

What does w equal?

Answers

Answer:5

Step-by-step explanation:

24/4=6

6-1=5

Answer:

w = 5

Step-by-step explanation:

-4 (w+1) = -24

-4w -4 = -24    | +4

-4w = -20        | :(-4)

w = 5

675 x 78 : 567 =
can you stop deleting my question.

Answers

Answer:

675 x 78/567

First let's find the product of the numerator;

(675 x 78) = 52,650

Now we divide by 567:

52,650/567 = 92.85, which is around 92.90

Now select point C and move it around. Do you observe any change in the relationship between the three angles?

Answers

Answer:

No. <BAC and <CAD remain congruent, and m<DAB is still the sum of m<BAC and m<CAD

Step-by-step explanation:

Answer:

No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

can someone do this sheet or me? thx!

Answers

Number 5 is 27,258 …………………………………

HELP ASAP PLEASE WILL MAKE BRAINLEST (show work if possible)

Answers

Answer:65

Step-by-step explanation: sorry if its wrong

What is the value of c?

Answers

Answer:

c=9

Step-by-step explanation:

it’s because from the angles, you can see that this is an isosceles triangle, there the two sides have to be the same.

9.8x+17=7.6x-16
??????​

Answers

Q: What is 9.8x+17=7.6x-16?

A: Your answer should be 2.8867, I tried the best I could.

Answer:

x= -15

Step-by-step explanation:

You subtract 7.6 from 9.8

then you left with 2.2x+17=-16

Subtract 17 from -16 ( -33 )

Then you'll divide 2.2 and -33

x= -15

Find the value of angle marked x​

Answers

Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.

Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees,  79 degrees, and '180 - x' degrees

Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.

Now using the knowledge gained lets set up the equation

            [tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]

Therefore x is 116 degrees.

Hope that helps!

plz help me with this

Answers

Answer: 2/5

Step-by-step explanation: 2/5 because it is less than 1 so it shrinks.

In this square, all the angles are equal. What is the measure of angle x°?

720°
180°
90°
360°

Answers

Answer:

90degrees

Step-by-step explanation:

I'm pretty sure, terribly sorry if I'm wrong

~Animaljamissofab ♥

nice green square lol

90°  is the measure of angle x°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

Here, given that,

the figure is a square,

so, all its angle = 90 degrees

Now, the x = (180-90)=90

Hence, 90°  is the measure of angle x°.

To learn more on angle click:

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A rectangular prism has a length of 10 in., a width of 2 in., and a height of 312 in. the prism is filled with cubes that have edge lengths of 12 in. how many cubes are needed to fill the rectangular prism? enter your answer in the box. to fill the rectangular prism, cubes are needed.

Answers

Step-by-step explanation:

that is a strange question. you will see in a moment why.

I suspect your teacher just wants to do the exercise to have a large volume and then see how often a small volume fits into that large volume.

we can do that quickly:

large volume = 10×2×312 = 6240 in³

small (cube) volume = 12×12×12 = 1728 in³

so, we could put 6240/1728 = 3.611111111... cubes into a volume as the prism has.

now why did I phrase this so strangely ?

because the prism not only has volume but also a shape.

it is a narrow but high container with the small dimensions being 10 in and 2 in.

the cubes have a side (or edge) length of 12 in. that is not compatible with the 10 in and 2 in cubes of the prism.

not a single one cube would fit into the prism.

so, the realistic answer is : 0 cubes.

if it does not matter that the cubes would stand out of the prism, we could simply stack a single file of cubes along the height of the prism :

312/12 = 26 cubes.

so, we could stack 26 cubes inside the height of the prism.

so, I conclude, this is either a trick question (and 0 is the true answer), or there is a mistake in the question.

possibly in the dimensions of either the prism or the cubes.

for example, let's assume the cubes have an actual side length of 2 in (and not 12 in).

then the small (cube) volume is : 2×2×2 = 8 in³

and they will fit into the prism also shape wise.

6240/8 = 780 cubes

so, we would need 780 cubes of that size to fill the prism.

or, as another example, the cubes have a side length of 1/2 in.

then the small (cube) volume = 1/2³ = 1/8 in³

6240/(1/8) = 6240 × 8 = 49,920 cubes

in that case we would need 49,920 cubes to fill the prism.

find the value of the expression |x|/x id x=-8,-5,1,7,128 write the expression without the absolute value symbol for these values of x x>0

Answers

Using the definition of the absolute value function, it is found that:

The result of the expression is of -1 for x = -8 and x = -5.The result of the expression is of 1 for x = 1, x = 7 and x = 128.

What is the absolute value function?

It measures the distance of a point x to the origin, and is defined by:

[tex]|x| = -x, x < 0[/tex]

[tex]|x| = x, x \geq 0[/tex]

As for the expression used in this problem:

[tex]\frac{|x|}{x} = -\frac{x}{x} = -1, x < 0[/tex]

[tex]\frac{|x|}{x} = \frac{x}{x} = 1, x > 0[/tex]

Hence:

The result of the expression is of -1 for x = -8 and x = -5.The result of the expression is of 1 for x = 1, x = 7 and x = 128.

More can be learned about the absolute value function at https://brainly.com/question/24734454

Answer:

just to be clear the answers are here:

Step-by-step explanation:

If x=1, then |x|/x= 1

If x=7, then |x|/x=1

If x=128, then |x|/x=1

If x>0, then |x|/x=1

If x=-8, then |x|/x=-1

If x=-5, then |x|/x=-1

If x<0, then |x|/x=-1

I hope u have a nice day :)

I need help on this ASAP

Answers

Statements - reasons :-

<1~= <5 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5 ~=<7 - Vertical Angles Theorem

line I || line m - Transitive Property

Find the length of the base of the triangle given the area of 217 ft and the hight of 24 ft

Answers

Answer:

18.0833 ft

Step-by-step explanation:

[tex]area=\frac{bh}{2}[/tex] where b is the base and h is the height

[tex]217=\frac{24h}{2}[/tex]

[tex]434=24h[/tex]

[tex]h=18.0833[/tex]

What is the slope intercept form of 2x+2y=10 (y=mx+b no extra words or comments)

Answers

Answer:

[tex]y=-x+5[/tex]

Step-by-step explanation:

[tex]2x+2y=10\\2y=10-2x\\y=-2/2x+10/2\\y=-x+5[/tex]

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT 20 POINTS

Answers

The answer is the second one

Answer:

5x-2y=-33

First.) -5x+10x= 5x

Second.) -5y+3y= -2y

Third.) -30+-3= -33

:) Hope you enjoy this :)

If two platters of sandwiches serves 12 people at a party, how many platters will you
need if 96 people show up?

Answers

Answer:

8 platters

Step-by-step explanation:

16 platters because 12 divided by 2 is 6 and 96 divided by 6 is 16 :)

Plz help me complete this table

Answers

3 and 6 for the top ones

Write the expanded form of the expression
y(0.25 +6)

Answers

Answer:

0.25y + 6y

Step-by-step explanation:

multiple everything in the brackets by y

1. A student grew crystals for science class. This table gives the height of the largest crystal every day for 7 days. The table can be modeled using an exponential function.

Days 2 4 6 8 10 12 14
Height (cm) 2.55 4.25 7.25 12.25 20.65 34.95 59.05
What function best represents the data?
y=1.5·1.3x
y=1.5·0.5x
y=0.59x
y=2.17+0.59x

Will Give Brainiest <3

Answers

Answer:

  (a)  y = 1.5·1.3^x

Step-by-step explanation:

Growth is modeled by an exponential function when the base is greater than 1.

There is only one answer choice that models growth. The others all have a base (0.5 or 0.59) that is less than 1, so model decay.

  y = 1.5·1.3^x

Last summer, 80 students signed up for a summer trip to Washington, D.C. This summer, 94 students signed up. To the nearest percent, what is the percent change in the number of students who signed up for the trip?v

Answers

Answer:

94-80=14/80×100=35÷2=17.5

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