there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same time?​

Answers

Answer 1
Answer:   60 minutes

=====================================================

Explanation:

Let's find the LCM of 4 and 5, which are the first two items of the list.

multiples of 4 are: 4,8,12,16,20,24,...multiples of 5 are: 5,10,15,20,25,...

The smallest item in each list is 20, so the LCM of 4 and 5 is 20.

We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".

We then repeat the process of finding the LCM of the first two items

multiples of 20 are: 20,40,60,80,...multiples of 12 are: 12,24,36,48,60,72,...

LCM of 20 and 12 is 60.

The list "20,12,15" condenses to "60,15".

Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.

Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.

4*15 = 60

5*12 = 60

The bells ring together every 60 minutes

In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).


Related Questions

Please help! IXL math problem

Answers

Answer:

224, 755

Step-by-step explanation:

you first have to find the differnce between 177 and 47 which equals to 133.

so you have to do 94+133

and 885-133

Question 7 high school geometry.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]

therefore,

[tex] \sf12x - 8 + 104 = 180[/tex]

[tex] \sf12x + 96 = 180[/tex]

[tex] \sf12x = 180 - 96[/tex]

[tex] \sf12x = 84[/tex]

[tex] \sf x = 84 \div 12[/tex]

[tex] \sf x = 7[/tex]

Hence, the value of x is ~ 7

I NEED HELP ON THIS MATH PROBLEM ASAP

Answers

Answer:

y= -5x +5

Step-by-step explanation:

The radius of the front wheel of Brian's bike is 45cm.
Brian goes for a cycle and travels 78.15km.
How many full revolutions did Brian's front wheel complete?

Answers

Answer:

Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.

Step-by-step explanation:

tell me if im wrong.........

Need help please if anyone one can help me now I will like that. Thanks

Answers

The answer is the last on

Please write a equation for this table

Answers

Answer:

  y = 5x +2

Step-by-step explanation:

The point (0, 2) tells us the y-intercept is 2.

If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...

  6, 30

  -2, -10

  0, 0

  10, 50

We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.

  y = 5x +2

Triangle A has a 50 degree angle and a 25 degree angle. Triangle B has a 50 degree angle and a 105 degree angle. Are the two triangles similar?

Answers

They are both triangles
Triangle A: isosceles
Triangle B: Isosceles
Overall yes the two are similar.

NAME THE PARTS OF THE CIRRCLR​

Answers

a) Point O

b) [tex]\overline{OB}[/tex]

c) [tex]\overline{AB}[/tex]

4) arc DE (m)

5) [tex]\overline{DE}[/tex]

6) Semicircle AEB

how many cases does he hear per hour?

Answers

Answer:

13

Step-by-step explanation:

5 x 2 2/3

= 5 x 8/3 = 40/3 =13 1/3

So it's basically 13  1/3, but its 13.

Given that p²,q² are two roots of x²-x+16=0.
Form another equation with roots 1/p,1/q.

Answers

Answer:

  x² -3/4x +1/4 = 0

Step-by-step explanation:

Consider the two equations in factored and expanded forms:

  (x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0   ⇒   p²+q² = 1, p²q² = 16

and

  (x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0

Consider the squares of the sum and product of roots:

  constant term: (1/(pq))² = 1/(p²q²) = 1/16   ⇒   1/(pq) = √(1/16) = 1/4

  x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)

  = (p² +q²)/(p²q²) +2/(pq)

  = 1/16 +2/√16 = 9/16   ⇒   (1/p +1/q) = √(9/16) = 3/4

Then the equation with roots 1/p and 1/q is ...

  x² -3/4x +1/4 = 0

Select the algebra tiles that correctly model the problem.
three less than a number

Answers

Answer:

This is my answer, Credit to the person on top

Answer: its a

Step-by-step explanation:

0.517 converted into a percent

Answers

Answer:

51.7%

Step-by-step explanation:

Because percent is out of 100, you multiply 0.517 by 100 and get 51.7, which is your percent.

9. Find the slope of the line
that passes through the
following pairs of points.


a. (5, 4) and (-4,3)


B. (10, 8) and (9, 13)

Answers

Answer:

a]y= 0.11x + 3.44

b]y= 0.11x + 3.44

explanation:

y=mx+b form

Wesley Snipes earns a monthly salary of $1,685, plus a 8.5% commission on all sales over $2,000 each month. This month, his sales were $6,250. What was his total
income for the month?
$2,224.50
$2,175.80
$2,112.90
$2,046.25
None of these choices are correct

Answers

Answer:

none of theses choices. wesley makes $2185 this month

Step-by-step explanation:

AHH HALP

0.333 as a fraction
0.666 as a fraction
0.343434 as a fraction
1.432432 as a fraction

PLZ I NEED IT IN THE NEXT FEW MINS

I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE BEST ANSWER AND THE CORRECT ANSWER

PLEASE GIVE ME AN EXPLANATION AND A CORRECT ANSWER! THANK YOU

(Also sorry for caps, I just really need those answers lol)

Answers

Step-by-step explanation:

for the ones with the 1.43, it'll be written as an improper fraction. Let me know if you have questions,I've started it for you now try the rest

0.333 is apoximently 1/3

0.666 is aproximently 2/3

i couldnt find out the others tho s0rry

\Hoped that helped:P

#1 need help asap plzzzzzzzzzzzz

Answers

Answer:

[tex]n+4<12[/tex]

Step-by-step explanation:

A number would be represented as [tex]n[/tex]

"plus 4" is addition so that would be [tex]n+4[/tex]

fewer and less have the same meaning so that would be a less than sign [tex]<[/tex]

so that's how you get [tex]n+4<12[/tex]

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green?

Answers

Answer:

19 panels are painted green

Step-by-step explanation:

95/5=19 and because there are 3 colors before green again we don't have to worry about the other 3 panels

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

If one angle of a parallelogram is of measure 70

, find the measures of all the angles of the parallelogram.

Answers

Answer:

70, 110, 70, 110

Step-by-step explanation:

If one angle is 70 degrees, the opposite angle is also 70 degrees.  The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.

If the purchase price for a house is $218,500, what is the monthly payment if you put 3. 5% down for a 30 year loan with a fixed rate of 6. 5%? a. $1,332. 73 b. $1,378. 19 c. $1,247. 54 d. $646. 40.

Answers

Answer: A $1,332.73

Step-by-step explanation:

The monthly payment if you put 3. 5% down is a. $1,332. 73.

Down payment=218,500 - (218.500×3.5%)

Down payment=218.500-7,647.5

Down payment=210,852.50

Time = 12×30=360 months

rate=6.5/1,200 = 0.005416667

Using the loan payment formula

Monthly payment = (Rate + [Rate / (((1 + rate)^months) -1)] × Principal

Let plug in the formula

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] × principal

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] ×principal

Monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] ×210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = (0.005416667 + 0.0009040135) × 210,852.50

Monthly payment = 0.0063206805× 210,852.50

Monthly payment = 1,332.73

Inconclusion the monthly payment if you put 3. 5% down is a. $1,332. 73.

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5x+1=3x+y=-15, what is x?

Answers

Answer:

x= -16/5

Step-by-step explanation:

5x+1=-15

solve

5x+1=-15

          -1

5x=16

      16/5

x= -16/5

Find the volume of the sphere.

Answers

Answer:

4.19

Step-by-step explanation:

v=4/3(pie x r^3)

v=4/3(pie x 1^3) = 4.18879

v=4.19

f(x)=x^2-25. Determine the value of x for the given function formula

Answers

Answer:

You can't really determine anything here, as we'd need to know also the value of F(x)! Check again if there misses anything in this question.

Please help me ASAP!!
Thx

Answers

Answer:

8

Step-by-step explanation:

The fraction simplifies to 9 ^5

9^5 x 9^3 = 9^8

At the school's holiday craft fair, Juan and his classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the 8 students at the table. Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.
Which equation can you use to find the number of licorice ropes r that came in the bag?

Answers

To find the number of licorice ropes r that came in the bag, the equation would be r/ 8 = 4.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The teacher divides a bag of licorice ropes evenly among the 8 students at the table.

Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.

Let the number of licorice ropes that came in the bag be r.

The total number of students = 8

one student gets the licorice ropes = 4

The equation formed

r/ 8 = 4

r = 32

Learn more about equations;

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The equation to find the number of licorice ropes came in the bag r, is r = 32

The equation to find the total number of licorice ropes, r, that came in the bag, based on the information provided. Each student gets 4 licorice ropes to decorate the roof of their gingerbread house, and there are 8 students.

The total number of licorice ropes can be found by multiplying the number of ropes each student gets (4) by the number of students (8):

Total licorice ropes = Number of ropes per student × Number of students

r = 4 × 8

Simplifying further:

r = 32

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need help with this question please
(1/5 x 5) to the 5th power =

Answers

Answer:

1

Step-by-step explanation:

According to the rule of PEMDAS, we must perform parentheses before exponents.

1/5 x 5 = 1

1 to the power of anything is still 1, so that is the answer.

What property does this question use 3(x+6)-2=28

Answers

Answer: Properties of Multiplication. You can use the properties of multiplication to evaluate expressions. Commutative Property. Changing the order of factors does not change their product. Example: a x b = b x a. 4 x 20 = 20 x 4. Associative Property. Changing the grouping of factors does not change their product.

Properties of Multiplication

Which is the last step when creating and analyzing a scatterplot from a table of values?

Plot the ordered pairs of the independent variable and the dependent variable on the coordinate plane.
Draw or obtain a blank coordinate plane.
Identify if there is a relationship between the independent and dependent variables.
Label the axes of the coordinate plane according to the input and output variables.

Answers

Answer:

A quadratic equation. ax2 +bx+c=0 has exactly one real solution if ∆=b2-4ac=0. We check the answers. In (A) ∆=1 ; in (B) ∆ =25: in (C) ∆=0; in (D)∆=1 . (C) is the correct answer.

Answer:

C. Identify if there is a relationship between the independent and dependent variables.

Step-by-step explanation:

Look at the picture please help

Answers

Answer:

c

Step-by-step explanation:

First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.

To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.

Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.

A high school track​ team's long jump record is 24 ft 2 1/4 in This​ year, Hal​'s best long jump is 23 ft 9 1/2 in If long jumps are measured to the nearest quarter​ inch, how much farther must hal jump to break the​ record?

Answers

24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.

4 3/4 inches would tie it, so now add 1/4 more inches:

4 3/4 + 1/4 = 5 inches.

He needs to jump 5 inches more.

Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.

Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis






Answers

The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

What is reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.

So, the △A'B'C' is:

△ABC:

A (4,1)B (−2,3)C (−1,1)

Now, Translation: (x,y)→(x+2,y+1) (

(x: axis is the line of reflection)

△A'B'C'

A' (6, -2)B' (-4, -4)C' (-3, -2)

Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

Know more about reflection here:

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