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Jobisdone [24]
3 years ago
10

Prove that: (1213–1212+1211)(119–118+117) is divisible by 3, 7, 19, and 37.

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

It is only divisible by 3 but not divisible by 7, 19, and 37.

Step-by-step explanation:

The given expression is (1213 - 1212 + 1211)(119 - 118 + 117) and we have to prove whether this expression is divisible by 3, 7, 19 and 37 or not.

Now, the expression is (1213 - 1212 + 1211)(119 - 118 + 117)

= 1212 × 118

= 3 × 2 × 2 × 101 × 2 × 59 {Those are the prime factors of the expression}

Now, it is clear that the expression 1212 × 118 is only divisible by 3 but not divisible by 7, 19, and 37. (Answer)

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y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

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A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?
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60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

<em>2/5 of tank        :            2/3 hours </em>

<em>x of tank            :             1 hour </em>

Cross multiply to get:

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<em>Find out more at brainly.com/question/14336804.</em>

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