Un faro enciende cada 12 segundos, otro cada 18 segundos y un tercero cada minuto. A las 7:30pm los tres coinciden. Averigua a qué hora vuelven a coincidir los 3. (Siga el formato de hora correcto. Por ejemplo: 7:30pm. Sin espacios)

Answers

Answer 1

Answer:

7:33 p.m.

Step-by-step explanation:

Para resolver este problema, necesitamos encontrar el mínimo común múltiplo de los intervalos en los cuales se encienden los faros. Para eso necesitamos primero convertir el tiempo que tarda el tercer faro en segundos. Sabemos que cada minuto tiene 60 segundos en total, así que el tercer faro se encenderá cada 60 segundos.

Luego de tener todos los tiempos en segundos, procedemos a escribirlos en una tabla como la siguiente:

12   18   60

La idea es buscar los números primos que todos tengan en común y dividirlos todos entre dichos números primos hasta que ya no podamos dividirlos más, por ejemplo, estos números se pueden dividir todos dentro de 2 así que hacemos eso:

12  18   60  |  2

6   9    30  |  2   dos de estos números nuevos pueden ser dividos entre dos también, así que hacemos justo eso.

12  18   60  |  2

6   9    30  |  2

3   9    15   | 3   ahora todos pueden ser divididos entre 3, así que obtenemos:

12  18   60  |  2

6   9    30  |  2

3   9    15   | 3

1    3     5   |  3    uno de estos números se puede dividir entre 3 y obtenemos.

12  18   60  |  2

6   9    30  |  2

3   9    15   | 3

1    3     5   |  3

1    1      5   |  5  y finalmente dividimos entre 5 para obtener:

12  18   60  |  2

6   9    30  |  2

3   9    15   | 3

1    3     5   |  3

1    1       5   |  5

1    1       1    

luego que terminamos la tabla tomamos todos los números que usamos para dividir y los multiplicamos entre si para obtener:

2*2*3*3*5=180s

los tres focos se volverán a prender luego de 180s. Si pasamos los 180s a minutos, tenemos que:

[tex]\frac{180}{60}=3min[/tex]

entonces lo único que tenemos que hacer es sumarle esos 3 minutos a la hora que nos dieron originalmente para obtener:

7:30 + 3 min = 7:33pm

la cual es nuestra respuesta.


Related Questions

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60 Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets? 1 2 3 4

Answers

Answer:

a) 0.09

b) 2 ways

Step-by-step explanation:

a) Probability Pedro's shot will score will be given as) :

P(score) = 0.30

The probability he will score in 2 consecutive shots will be calculated as:

P(score) * P(score)

= 0.30 * 0.30

= 0.09

Therefore, probability he will score in 2 consecutive shots is 0.09

b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are :

= 2!

= 2 * 1

= 2

Which could be in this order:

YXZ or YZX

Therefore, the number of ways if Y is chosen first is = 2 ways

Answer: A. 0.09

Just took test.

Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.

Answers

Answer: the answer is in the steps.

Step-by-step explanation:

6.25h ≤ 125.00

A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?

Answers

Answer:

105

Step-by-step explanation:

if both together cost $110

and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase

and it's 105

hope this helped:D

brainliest is appreciated if u want

Answer:

$105  r e  

Step-by-step explanation:

A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.

Answers

Answer:

radius = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)

r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]

  = [tex]\sqrt{5^2+(-3)^2}[/tex]

  = [tex]\sqrt{25+9}[/tex]

  = [tex]\sqrt{34}[/tex]

Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?

Answers

Answer:

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70 miles per hour 

Step-by-step explanation:

Let

speed of train B = a

speed of train A = a + 20

Recall

speed = distance/time

The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.

Time = distance/speed

270/a + 20 = 210/a

cross multiply

270a = 210(a + 20)

270a = 210a + 4200

270a - 210a = 4200

60a = 4200

divide both sides by 60

a = 4200/60

a = 70

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70  miles per hour

5x to the power of 2 =25x to the power of 2​

Answers

Answer:

1:5

Step-by-step explanation:

5x² = 25x²

Divide both sides by 5x²

5x²/5x² = 25x²/5x²

1:5

7h=-(2h-18)7h=−(2h−18) Solve for h

Answers

Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

Write the number for seventy-five million three hundred thousand

Answers

The answer is 75,300,000 hope this helps.

I NEED HELP NOW PLZ. What is the mean of the data set?
17, 24, 25, 13​

Answers

Answer:

19.75

Step-by-step explanation:

U add the, all up then divide by 4

Answer:

19.75

Step-by-step explanation:

17+24+25+13= 79

79/4= 19.75

The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.

Answers

The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.

To find the height of the incline, we can use trigonometry, specifically the sine function.

Let's consider the triangle formed by the incline track, where:

The angle of elevation (angle between the incline track and the ground) is 30 degrees.

The length of the incline track (base of the triangle) is about 800 feet.

We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).

Using the sine function, we have:

[tex]sin(angle) = opposite\ side / hypotenuse[/tex]

In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).

So, the equation becomes:

[tex]sin(30^o) = h / 800[/tex]

h = 800 * 0.5

h = 400 feet

Therefore, the height of the incline is approximately 400 feet.

Learn more about trigonometry here:

https://brainly.com/question/32391262

#SPJ12

A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.

Answers

Volume of a cylinder=Cross-sectional area x height =pir^2h
Volume of a cone=1/3pir^2h
So, the volume of a cylindrical is 1/3 the volume of a cone.

Find the quotient.

3 divided by 3636

A. 1,212
B. 1,202
C. 122
D. 112
E. 102

help asap!!

Answers

The answer to the question is B

The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.

Answers

The dimension of the rectangle is 8m by 6.5m respectively

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

learn more on area of rectangle here: https://brainly.com/question/25292087

#SPJ1

Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. At what time will Sammie have twice as much lawn to mow as Maxine?

Maxine and Sammie have to also mow their parking strips that are the same size. Maxine can mow the parking strip in 6 minutes and Sammie can mow the parking strip in 9 minutes. At what time will Sammie have twice as much grass to mow as Maxine?

Answers

Answer: A) 18.2 minutes

B) 4.5 minutes.

Step-by-step explanation:

A) Maxine can mow one lawn in 24 minutes, so the rate of work is:

1/24 of the lawn per minute.

Sammie can mow one lanw in 36 minutes, so the rate of work is:

1/36 of the lawn per minute.

The amount of the lawn that each has left to lawn by the minute x is:

Maxine = 1 -(1/24)*x

Sammie = 1 - (1/36)*x

we want to find the value of x such that:

2*(1 - (1/24)*x) = 1 - *(1/36)*x

which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.

2 - (1/12)*x = 1 - (1/36)*x

2 - 1 = (1/12 - 1/36)*x

1/0.055 = x = 18.2

by the minute 18.2

B) Similar to before, here the rates are:

For Maxine, R = 1/6

For Sammie, R = 1/9

The amount they have left to mow by minute x is:

Maxine = 1 - (1/6)*x

Sammie = 1 - (1/9)*x

We want to solve, similar to before.

2( 1 - (1/6)*x) = 1 - (1/9)*x

2 - (1/3)*x = 1 - (1/9)*x

2 - 1 = (1/3 - 1/9)*x

1 = (2/9)*x

1*9/2 = x = 4.5

So here the solution is 4.5 minutes.

Answer:

`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.

Explanation:

May you pls mark me as brainliest I am new to the program.

Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?



Answers

Answer:

4 out of 14

Step-by-step explanation:

there is only 4 door bells and 14 bells in total

I etavidewifdwcvefoewf

Answers

I’m not sure what that meant.

Answer:

cool

Step-by-step explanation:

Which algebraic expression is equivalent to this expression?

5(3x+2)+18

Answers

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

For circle P , find QN if LM = ON = 7.

A.
3.5
B.
7.5
C.
14
D.
21

Answers

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000

Answers

Answer:

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

[tex]V(0) = 80000, r = 0.1[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 80000(1-0.1)^{t}[/tex]

[tex]V(t) = 80000(0.9)^{t}[/tex]

Value of the car at the end of 3 years:

[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

What is the measure of STR

Answers

Answer:

Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture

Step-by-step explanation:

What is the value of the expression (–5) -3 but the -3 is an exponent.

Answers

Answer:

Answer: -0.008

Step-by-step explanation:

Hope this helped!

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

C. Exponential decay

Step-by-step explanation:

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C.

hope you do good on quiz! :D

I don’t understand this question please help

Answers

Answer:

Between 3² and 4⁴

Between 3 and 4

Step-by-step explanation:

Number 15 is between between 3² and 4⁴

While √15 = 3.8 72 is between 3 and 4.

Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1

start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2

start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?

Answers

Answer:

Step-by-step explanation:

im confuesd here

Grace hit 12 balls in the batting cage out of 20 pitches. Tomorrow she is going to go to the same batting cage and get 30 pitches.
Use experimental probability to predict how many of the 30 pitches she will hit.

Answers

Answer:

she is expected to hit 18 out of the 30 pitches

Step-by-step explanation:

In this question, we are required to use experimental probability to make a prediction.

From the hits she has today, we can estimate the number of hits she might be getting tomorrow.

Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5

Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.

That would be 3/5 * 30 = 18 pitches

The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?

Answers

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

It will be 45

I got it correct

Currency on hand = 2,000 Swiss francs Currency desired = Dutch guilders (Holland) How many guilders based on Wednesday rate? (Hint: Convert 2,000 Swiss francs to United States dollars. Then convert United States dollars into guilders.)

Answers

Answer:

4175.40384   Dutch guilders

Step-by-step explanation:

The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars

So ; if 1 swiss francs  =  1.0328 united states dollars  (as at Wednesday)

Then 2000 swiss francs  will be = 2000  ×  1.0328 united states dollars  = 2065.6 united states dollars

SO; if  1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)

Then 2065.6 united states dollars will be = 2065.6 × 2.0214

= 4175.40384   Dutch guilders

Answer:

closest would be 3,500

Step-by-step explanation:

What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi

Answers

Answer:

1,300.62

Step-by-step explanation:

The formula for a cylinder is A= 2 pi r h +2 pi r^2

Help!!! Please????????

Answers

Answer:

idk

Step-by-step explanation:

i dont know

I think it’s asking to find the roots (zeros). Is so, then:

1.) There are two solutions, X = 1 plus or minus root 145/ 6.

2.) There are 2 solutions with components imaginary. X = 3/2 + i/2 and 3/2 - i/2

3.) There’s 2 solutions X = ( -7 plus or minus root 93)/2

4.) There is one solution X = -4

I hope that helps.
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