Three bells, A,B and C toll every 5 seconds, 8 seconds and 12 seconds respectively. They all start tolling together. After how many seconds will they all toll together again

Answers

Answer 1

Answer:

120 seconds

Step-by-step explanation:

To obtain the number of seconds they will all till together again, obtain the lowest common multiple of the three bell times :

Bell A :

Multiples of of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125

Bell B :

Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128

Bell C :

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132

From the values above, the lowest common multiple is 120, Hence, they'll toll together again after 120 seconds


Related Questions

I. Daska is situated at a distance of 15 miles from both Gujranwala and Sialkot. A bus travels from Gujranwala to Daska at an average speed of 25 miles per hour, from Daska to Sialkot at an average speed of 40 miles per hour and returns to Daska at an average speed of 30 miles per hour. Find the average speed for the entire trip.

Answers

Answer:

The average speed of the entire trip is 8.5 miles per hour.

Step-by-step explanation:

Speed = Total  Distance / Total Time

So we have to find the total distance and the total time taken .

1) From Gujranwala to Daska

speed= 25miles/hour           distance = 15miles

Time taken = distance / speed

                   = 15/25= 0.6 hours

2)  From Daska to Sialkot

speed= 40miles/hour           distance = 15miles

Time taken = distance / speed

                   = 40/15= 2.67 hours

3 ) From  Sialkot to Daska

speed= 30miles/hour           distance = 15miles

Time taken = distance / speed

                   = 30/15= 2 hours

The total distance traveled to three places is = 15+ 15+15= 45miles

The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours

Speed = Total  Distance / Total Time

Speed= 45/ 5.3

          = 8.49=8.5 miles per hour

The average speed of the entire trip is 8.5 miles per hour.

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

What percent of the scores were below 66?

What is the probability that a student earned a score between 66 and 86?

Answers

Answer:

a) 15.866%

b) 0.68268

Step-by-step explanation:

The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.

We solve the above question using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 76

σ is the population standard deviation = 10

a) What percent of the scores were below 66?

x < 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x<66) = 0.15866

Converting to Percentage =

0.15866 × 100

= 15.866%

b) What is the probability that a student earned a score between 66 and 86?

For x = 66

Hence,

z = 66 - 76/10

z = -1

Probability value from Z-Table:

P(x≤ 66) = 0.15866

x = 66 = 0.15866

For x = 86

Hence,

z = 86 - 76/10

z = 1

Probability value from Z-Table:

P(x≤ 86) = 0.15866

x = 66 = 0.15866

Probability value from Z-Table:

P(x = 86) = 0.84134

The probability that a student earned a score between 66 and 86 is calculated as:

P(x = 86) - P(x = 76)

= 0.84134 - 0.15866

= 0.68268

f(x) = x^2. What is g(x)?

Answers

Answer:

g(x) = 5x^2

Step-by-step explanation:

For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays?
(A) 0.065 (B) 0.335 (C) 0.350 (D) 0.450 (E) 0.665

Answers

Answer:

0.335

Step-by-step explanation:

1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.

2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.

3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)

Delayed of icy weather - 0.3

Delayed of MP when weather is not icy - 0.7·0.05=0.035

Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is

0.3+0.035=0.335

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A right triangle has a base of 6 feet, a height of 4 feet, and a slant height of 9 feet. Find the area. *

Answers

The are of a triangle is always 1/2*Base*height so (1/2)*6*9 which is 27 ft^2

A sphere has a volume of 1,436 in3. What is its radius?

Answers

Answer:

do the reverse of pie r squared

Step-by-step explanation:

Which expression is equivalent to 7x + 4x2 – 5x?

Answers

Answer:

2x+8

Step-by-step explanation:

Answer:

[tex]4x^{2} +2x[/tex]

Step-by-step explanation:

I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.

So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.

A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W

Answers

Answer:

Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]

Step-by-step explanation:

Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].

To find: amount of money each student paid in terms of [tex]W[/tex]

Solution:

Cost of each present [tex]=\$W[/tex]

Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]

Cost of a card [tex]=\$200[/tex]

Therefore,

Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card

[tex]=\$3W+\$200[/tex]

HELP I WILL GIVE BRAINIEST

Answers

Answer:

For the first one the answer is:

<K = 31°

Sorry I don't know the second one.

how do i include a screenshot

Answers

include a ss for what,

There will be a nail clip tool when you press the + button. Then you will be able to access your file you need to enter.

What is the domain of this function?

Answers

Answer:

-5, -1, 1, 2, 4

Step-by-step explanation:

The domain includes the x-values of the points. Starting from the left, the points are (-5, -5), (-1, 0), (1, 1), (2, 5), (4, -3).

Take the x-values, and the domain is {-5, -1, 1, 2, 4}.

All Questions Are Above

Answers

Answer:

...

Step-by-step explanation:

2. 5.25, because the radius is half the diameter

3. 3 in because the diameter is 2x the radius

4. i.dk this one sorry

Answer:

2. 5.25in

3. 3 in

4. 81.68 or 82

Step-by-step explanation:

The first two are basically multiplication and division. radius is half the diameter, and diameter is the whole of radius.  the circumference is 3.14 or [tex]\pi[/tex] x diameter

so you need to add the radius (13) by itself (13+13) to get the diameter (or 13*2) then multiply by 3.14159. (26*3.14159 = 81.68) and if you need to round its 82.

~R3V0

Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6

Answers

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

11n - 11 + 35 = 3n

24 = -8n

n = -3

Please look at the screenshot

Answers

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.

Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el resto, que son 33,000 euros. ¿Cuál era su capital? ¿Cuánto le correspondió a cada hijo?

Answers

Answer:

El padre tenía un capital de 60,000 euros.

El hijo mayor recibe 12,000 euros.

El hijo segundo recibe 15,000 euros.

El hijo tercero recibe 33,000 euros.

Step-by-step explanation:

Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:

Hijo mayor

[tex]a = \frac{1}{5}\cdot x[/tex] (1)

Hijo segundo

[tex]b = \frac{1}{4}\cdot x[/tex] (2)

Hijo tercero

[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)

De (3) tenemos que el capital del padre es:

[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]

[tex]x = 60000[/tex]

El padre tenía un capital de 60,000 euros.

Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:

[tex]a = \frac{1}{5}\cdot x[/tex]

[tex]x = 12000[/tex]

El hijo mayor recibe 12,000 euros.

[tex]b = \frac{1}{4}\cdot x[/tex]

[tex]b = 15000[/tex]

El hijo segundo recibe 15,000 euros.

At a grocery store,39 out of 60 customers use a shopping cart. What percent of the customers use a shopping cart?​

Answers

Answer:

39 is 65% of 60

65% use a shopping cart.

What is the value of X
What is the value of Y


I will crown u and give you 20 extra points

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.

5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.

B isn't true. Vertical angles are congruent to each other, not supplementary.

C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°

Which expression is equivalent to 34(4h - 6)?

) 3h -92

) 4h +92

) 3h - 6

) 4h + 6

Answers

Answer:

Step-by-step explanation:

136h-24 which is not listed in your choices

In ΔSTU, the measure of ∠U=90°, the measure of ∠S=31°, and TU = 77 feet. Find the length of US to the nearest tenth of a foot.

Answers

Answer:

US = 128.15 ft

Step-by-step explanation:

tan 31° = 77/US

0.6009 = 77/US

0.6009US = 77

US = 128.15 ft

Answer:

128.7

Step-by-step explanation:

The fuel mix for a small engine contains only 2 ingredients: gasoline and oil. If the mix requires 5 ounces of gasoline for every 6 ounces of oil, how many ounces of gasoline are needed to make 33 ounces of fuel mix?

Answers

Answer:

15

Step-by-step explanation:

(brainiest)

Marianne's ring has a radius of 8mm. She needs to get it resized so that the circumference is 52 mm. How much larger will the new circumference be? Round your answer to the nearest tenth

Answers

Answer:

0.28mm larger

Step-by-step explanation:

Given data

Radius of ring= 8mm

Circumference

C= 2πr

C= 2*3.14*8

C=50.24mm

The resized ring has a circumference of =52 mm

Hence the radius will be

52= 2*3.14*r

52= 6.28r

r= 52/6.28

r= 8.28mm

Hence the resized ring is

8.28-8

=0.28mm larger

I-Ready help...... AND DON"T SAY USE A CALCULATOR IT SO EZZ I Would if i flip In COULD DU>>>>>A>>>>>S>>>>S>>>>>'S SORRY TO BE mean XD

Answers

Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Choose all of the values for x that are solutions to x < -2.

A.x=0
B. x=2
C. x= -2
D.x=-1/2
E. x= -4

Answers

I think the answer is E

The net below is used to form a rectangular prism. Using the net, determine the surface area of the figure.
7 cm
7 cm
7 cm
7 cm
26 cm

Answers

Step-by-step explanation:

54 because you add 7+7+7+7+26=54

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP


Answers

Step-by-step explanation:

try to factor them anx than set each bracket to 0 the negative one would not work

Answer:

5(−x−2)(x−7)

Step-by-step explanation:

Lauren is booking a band and a DJ for a dance, and wants to keep the cost of the
entertainment under $1,300. A band can play for part of the time at an hourly rate of $120,
and a DJ can play for the remaining time at an hourly rate of $92.
Select the inequality in standard form that describes this situation. Use the given
numbers
and the following variables.


x = the number of hours the band will play
y = the number of hours the DJ will play

Answers- A 120+x+92+y>1,300
B: 120x+92y>1,300
C: 120x+92y<1,300
D: 120+x+92+y<1,300

Answers

Answer:

C: 120x+92y<1,300

Step-by-step explanation:

Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.

Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y

The total cost of the band is DJ playing is thus 120x + 92y.

Since we require this to be under $1,300, we us the less than sign '<' to show the relation.

So, 120x + 92y < 1300

So, the answer is C

please help me! ill give a brainlest for who answer this

Answers

Answer:

(0,1)

Step-by-step explanation:

Answer:

The coordinates of the point are (0,1)

Step-by-step explanation:

PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!

Answers

Answer:

77-55=22, i don't know if this is the answer if i'm wrong sorry im just trying to help you.For every 22 followers tyler has, Naomi has 22 leser followers

Step-by-step explanation:

IF i am right pls subscribe to Amiredagoat Yt

ANSWER FOR BRAINLIEST:

Mark all of the following that are measures of Central Tendency.


Mean

Range

Mode

Median

Mean Absolute Deviation

Outlier

Answers

Step-by-step explanation:

I think mode,range and median dpo ako sure

A triangle has sides with lengths of 48 meters, 51 meters, and 31 meters. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

Formula = a^2 + b^2 = c^2

Putting values

= (31)^2 + (48)^2 = (51)^2

= 961 + 2304 = 2601

= 3265 = 2601

Both sides are not equal so it is not a right triangle

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