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Free_Kalibri [48]
3 years ago
7

Five times the difference between a number and four is greater than the quotient of four times the number and six. Find the smal

lest integer that will satisfy the inequality
Mathematics
2 answers:
JulijaS [17]3 years ago
8 0
x-\ number\\\\\
5(x-4)>\frac{4x}{6}\ \ \ | multiply\ by\ 6\\\\
30(x-4)>4x\\\\
30x-120>4x\ \ \ \ | subtract\ 4x\\\\
26x-120>0\ \ \ | add\ 120\\\\
26x>120\ \ \  | divide\ by\ 26\\\\
x>\frac{120}{26}\\\\
x>4\frac{8}{13}
Ray Of Light [21]3 years ago
7 0
5 times (5 times) the differnce (-) a number(x) and 4(4) is greater than (>) the quotient (/) 4 times the nmber (4x) and 6 (6)

5(x-4)>4x/6
5x-20>4x/6
treat > as an equals for nnow
multiply both sides by 6
30x-120>4x
divide both sides by 2
15x-60>2x
add 60 to both sides
15x>2x+60
subtract 2x from both sides
13x>60
divide both sdie sby 13
x>60/13
the smalles tnumber is the next number bigger then 60/13
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just olya [345]

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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Answer:

The answer is below

Step-by-step explanation:

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7 0
3 years ago
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Llana [10]
The correct answer is C. 78
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Answer:

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