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klasskru [66]
3 years ago
10

In a clock, a large gear completes a rotation every 45 seconds, a small gear completes a rotation every 18 seconds. The gears al

igned now, how many seconds will pass before the gears are in line again?
Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0
If the big gear makes 2 circles and the small gear makes 5 circles they will both be on 90 sec so it will take 90 seconds I think. My dad helped me with this one :D
sineoko [7]3 years ago
8 0

Answer:

90 seconds will pass before the gears are in line again

Step-by-step explanation:

In a clock, a large gear completes a rotation every 45 seconds.

The small gear completes a rotation every 18 seconds.

To get the number of seconds needed so these both will pass before the gears are in line again, we will simply find the LCM of 45 and 18.

45 = 3 x 3 x 5

18 = 2 x 3 x 3

LCM = 2 x 3 x 3 x 5 = 90

Hence, 90 seconds will pass before the gears are in line again

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Please help and also explain how you got the answer if you can
lukranit [14]
The answer is A and D

In answer choice A the fractions are 3/6 and 4/6. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 3/6 because 1x3=3 and 2x3=6, therefore 3/6 is equivalent. The equivalent fraction to 2/3 is 4/6 because 2x2=4 and 3x3=6, therefore 4/6 is equivalent.


In answer choice D the fractions are 9/18 and 12/18. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 9/18 because 1x9=9 and 2x9=18, therefore 9/18 is equivalent. The equivalent fraction to 2/3 is 12/18 because 2x6=12 and 3x6=18, therefore 12/18 is equivalent.

Hope this helps :D
8 0
3 years ago
O
satela [25.4K]

Answer:

Step-by-step explanation:

∠1 and ∠3 are supplemental

and ∠2 and ∠4 are supplemental

because they are alternate interior angles.

3 0
2 years ago
How to write 100,203 in word form
pantera1 [17]
One hundred thousand, two hundred and three.
3 0
3 years ago
Read 2 more answers
Which expression has the same value as 46.1-97.2?
Natali [406]

Answer:

A 46.1+(-97.2)

Step-by-step explanation:

Its the same as going 46.1 - 97.2 because your adding a negitive to a positive you canceling out the addition with the negitive so your now subtracting

5 0
3 years ago
What is the phase of y= -3cos (3x-pi) +5
ratelena [41]

Answer:

- \frac{\pi}{3}

Step-by-step explanation:

Given

y = -3\cos(3x - \pi) + 5

Required

The phase

We have:

y = -3\cos(3x - \pi) + 5

Rewrite as:

y = -3\cos(3(x - \frac{\pi}{3})) + 5

A cosine function is represented as:

y = A\cos(B(x + C)) + D

Where:

C \to Phase

By comparison:

C = - \frac{\pi}{3}

Hence, the phase is: - \frac{\pi}{3}

3 0
3 years ago
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