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2 years ago

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

Mathematics

1 answer:

just olya [345]2 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.

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If a =5 and b=3 what is the value of the 2a-3b+3a

34kurt

Answer:

If a = 5 and b = 3, then that means 2a - 3b + 3a = 16

Step-by-step explanation:

2a - 3b + 3a

(2×5) - (3×3) + (3×5)

10 - 9 + 15 = 16

6 0

2 years ago

David inherited some money from his uncle. He invested half of the money with Bernie

ValentinkaMS [17]

Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder

x - x/2 - x/3 - x/8 = 40,000

LCM:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24,

x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 * 8/8 = 8x / 24
x/8 * 3/3 = 3x / 24
40,000 * 24/24 = 960,000 / 24

24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000

x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.

960k - 480k - 320k - 120k = 40k
40k = 40k

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=3%20%2B%20%284%20%2B%205%29%20%3D%20%283%20%2B%204%29%20%2B%20m" id="TexFormula1" title="3 + (

max2010maxim [7]

Answer:

The value of m in the expression is 5

Step-by-step explanation:

Given expression as :

3 + ( 4 + 5 ) = ( 3 + 4 ) + m

Or, 3 + ( 9 ) = ( 7 ) + m

Or, 12 = 7 + m

∴ m = 12 - 7 = 5

Hence The value of m in the expression is 5 Answer

8 0

2 years ago

X/3+6-2x=-6 Please Help me I am stuck

nata0808 [166]

Answer:

x = 36/5

Step-by-step explanation:

Subtract 6 from both sides

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

Simplify

x/3 - 2x = -12

Multiply both sides by 3

x/3 * 3 - 2x * 3 = -12 * 3

Simplify

-5x = -36

Divide both sides by -5

-5x/-5 = -36/-5

Simplify

x = 36/5

5 0

2 years ago

☺️help would be appreciated

Lady_Fox [76]

All of the angles in a triangle add up to 180°.
${??} = 180 - (19 + 15) \\ {??} = 180 - 34 \\ {?}{?} = 146$
The missing angle is 146°

7 0

2 years ago