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ale4655 [162]
3 years ago
5

Suppose LCM(a,b) = 20160, a=60. Find the smallest possible value of b.

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
7 0

Answer:

63

Step-by-step explanation:

1260=22*32*5*7

 60=22*3*5

Therefore we need the smallest number divisible by seven and nine, which is 7*9=63.

Mars2501 [29]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

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Step-by-step explanation:

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2 years ago
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6 0
2 years ago
The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone c
dem82 [27]

Answer:

probability of an electric power outage shipboard is 0.075 or 7.5 %

Step-by-step explanation:

Given the data in the question;

Probability of engine malfunction = 25% = 0.25

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probability of an electric power outage shipboard = ?

To get the probability of an electric power outage shipboard, we use the expression;

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so we substitute in our given values;

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3 0
3 years ago
Hal has a steel barrel with a diameter of 6 feet that can be filled to a depth of 4.6 feet with oil. What is the volume of the b
scoray [572]

Answer:

129.996 cubic feet

Step-by-step explanation:

Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

\pi(r)^2(h)

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3 0
3 years ago
Find
Westkost [7]

Answer:

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8 0
3 years ago
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