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ch4aika
2 months ago
13

Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 da

ys. In how many days can
all three of them achieve the sales target together?
​
Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
5 0

Answer:All three individuals can reach the sales goal collectively within 120 days.

Step-by-step explanation:

Given: Adam and Paul can achieve the company’s sales goal in 30 days, Paul and Charles in 40 days, and Charles and Adam in 60 days.

Therefore, the total time required by all of them to accomplish the sales target together equals the least common multiple (LCM): \dfrac1{30}+\dfrac{1}{40}+\dfrac{1}{60}

=\dfrac{1}{120}     [LCM(30,40,60)=120]

Thus, they can collectively meet the sales target in 120 days.

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8439 divided by 245 with remainder
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How often does 245 fit into 8? none.
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Scientists in the jungle want to find the best estimate for the lion population. They tagged and released 20 lions as part of a
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3 0
21 day ago
How many solutions does the equation sin(5x) = 1/2 have on the interval (0, 2PI]
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Answer:

Step-by-step explanation:

Considering the equation

Sin(5x) = ½

5x = arcSin(½)

5x = 30°

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5θ = n180 + (-1)ⁿθ

Dividing throughout by 5

θ = n•36 + (-1)ⁿ30/5

θ = 36n + (-1)ⁿ6

The solution range is

0<θ<2π which means 0<θ<360

First solution

When n = 0

θ = 36n + (-1)ⁿθ

θ = 0×36 + (-1)^0×6

θ = 6°

When n = 1

θ = 36n + (-1)ⁿ6

θ = 36-6

θ = 30°

When n = 2

θ = 36n + (-1)ⁿ6

θ = 36×2 + 6

θ = 78°

When n =3

θ = 36n + (-1)ⁿ6

θ = 36×3 - 6

θ = 102°

When n=4

θ = 36n + (-1)ⁿ6

θ = 36×4 + 6

θ = 150

When n=5

θ = 36n + (-1)ⁿ6

θ = 36×5 - 6

θ = 174°

When n = 6

θ = 36n+ (-1)ⁿ6

θ = 36×6 + 6

θ = 222°

When n = 7

θ = 36n + (-1)ⁿ6

θ = 36×7 - 6

θ = 246°

When n =8

θ = 36n + (-1)ⁿ6

θ = 36×8 + 6

θ = 294°

When n =9

θ = 36n + (-1)ⁿ6

θ = 36×9 - 6

θ = 318°

When n =10

θ = 36n + (-1)ⁿ6

θ = 36×10 + 6

θ = 366°

When n = 10 surpasses the θ range

Thus, the solutions range from n =0 to n=9

Therefore, there are 10 solutions within the interval 0<θ<2π

4 0
1 month ago
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