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ExtremeBDS [4]
3 years ago
10

18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ

ipal apply in scale for other numbers are they x2 , You can try one or two different numbers to 120 ones. Not asking for the individual factors just how many for your example 2 numbers one must be x 10 of itself like 120:1200 is.
Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

__

1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

__

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

__

<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

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Answer:

Cornor has $14.17 initially

Step-by-step explanation:

The complete question is as follows

Connor has five times as much money as Jayden. Connor gives some money to Jayden. They now have £8.520each. How much did Connor have at the start?

solution

In this question, we are concerned with knowing how much that both had initially.

Let the amount of money Jayden has be £x . Since Cornor has Five times this, he has £5x

Let the amount of money Cornor gave Jayden be £y.

This means ;

5x - y = 8.50 .....(

(i)and also x + y = 8.50 ......(ii)

It is this equations we solve simultaneously

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x + 5x - 8.50 = 8.50

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5 0
3 years ago
on a test, a student answered 12 questions correctly. this number represents 80% of the total number of questions were on the te
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Answer:

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6 0
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Answer:

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Step-by-step explanation:

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