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katrin [286]
3 years ago
5

In a machine,a large gear completes a revolution every minute while a small gear completes a revolution every 24 seconds.If the

gears are currently aligned,how much time will pass before they are aligned again?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0
To get this answer you need to keep counting 24 seconds until it gets to exactly a minute, no seconds over or under, so 24x5=120 which is 2 minutes so it will be 2 minute. In other words to solve this you need to find a common factor 1 minute equals 60sec so 60x2=120 which is 2 min. So in 2 minutes the gears will be aligned again.
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Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!
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-x -y -z = -8

-4x +4y +5z = 7

2x+2z=4

Show steps please!

Step-by-step explanation: a-z=3-2=657u568959jb5j656856 thats the answer your welcome

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Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke
Vsevolod [243]
This is easy!
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What is the LCM of 80​
grigory [225]

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8 0
3 years ago
Read 2 more answers
Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
3 0
3 years ago
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