All categories

3 years ago

3. Tom, Sam and Matt are counting drum beats.

Mathematics

1 answer:

just olya [345]3 years ago

6 0

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

You might be interested in

according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)² = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0

3 years ago

when you reverse the digits in a certain two digit number you increase its value by 9 find the sum of its digits is 17

melamori03 [73]

The answer is 80.
80 flipped is 08, which is equal to 8, then 8+9=17

3 0

2 years ago

The were 12 men at the block party and 40 woman. What fraction of the people were men

Rudiy27

Answer:

12/52= 6/26= 3/13 of the people are men

5 0

3 years ago

How many nickels have the same value as a half dollar.?

Advocard [28]

A nickel has the monetary worth of $0.05
A half-dollar has the monetary worth of $0.50

0.50/0.05 = 10

you will need 10 nickels to have the same monetary worth as a half dollar

hope this helps

8 0

3 years ago

The area of a rectangular computer screen is 4x^2+20x+16. The width of the screen is 2x+8. What is the length of the screen?

Aleksandr-060686 [28]

So the area of a rectangle is Length x Width.
A = (L)(W)
Substitute the information given:
4x^2 + 20x + 16 = (L)(2x+8)
Isolate L by dividing 2x+8:
(4x^2 + 20x +16)/ (2x + 8) = L
If you divide:
L = 2x + 2.

7 0

3 years ago