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alexgriva [62]
1 year ago
5

find the difference between the sum of all eight positive intergral divisors of 66 and the sum of all eight positive integral di

visors of 70
Mathematics
1 answer:
katrin [286]1 year ago
7 0

The difference between the sum of all eight positive integral divisors of 66 and the sum of all eight positive integral divisors of 70 is zero.

<h3>How to find the difference between the integral divisors?</h3>

First let's find the integral divisors. We can write 66 as a product of prime numbers as:

66 = 33*2 = 2*3*11

Then the integral divisors of 66 are:

2

3

11

2*3 = 6

2*11 = 22

3*11 = 33

1 (trivially)

66 (trivially)

The sum gives:

2 + 3 + 11 + 6 + 22 +33 + 1 + 66 = 144

For 70 we have:

70 = 7*10 = 2*5*7

Then the integral divisors are:

1

70

2

5

7

2*5 = 10

2*7 = 14

5*7 = 35

The sum gives:

1 + 70 + 2 +5 + 7 + 10 + 14 + 35 = 144

Then the difference between these two sums is:

144 - 144 = 0

If you want to learn more about integral divisors:

brainly.com/question/4785696

#SPJ1

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A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

Answer:

The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

s + m = 477

m + 41 = s

There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

(m + 41) + m = 477

Combining like terms on the left side of the equation yields:

2m + 41 = 477

Subtracting 41 from both sides of the equation gives us:

2m = 436

Finally, dividing both sides of the equation by 2 gives us:

m = 218

To solve for the number of sociology textbooks, we can substitute into either of our original equations.

m + 41 = s

(218) + 41 = s

s = 259

Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.

Hope this helps!

6 0
3 years ago
20-gallon gas tax can go 25 miles on 1 gallon if the tank is full at the beginning of a 725 miles trip how many times does the d
Sergio039 [100]
725/25 = 29

The driver will have to refill the gas tank 29 times during the 725 miles trip.


I hope this helped you! c:
6 0
3 years ago
Mary went on vacation from the uk to the us, so she had to purchase some dollars ($). how many pounds sterling (l) did she excha
kap26 [50]

Exchange rate L 1 = $ 1.5542

Mary has $ 135

Pounds that Mary exchanged 135/1.5542

= L 86.8614 = L 87

4 0
3 years ago
Which equation has x=2/3 as a solution and why?
eduard

There are an infinite number of different equations that have
x=2/3  as the solution, or as one of several solutions.

You didn't show us your list of choices, so we can't help you
pick the right one.

Just take each choice, one at a time.  Write ' 2/3 ' in place of 'x'
in each equation, and simplify everything.  You'll wind up with
one equation that's true, and the others will say something that's
nonsense. 

The one that's true is the one that has  x=2/3  as its solution.

6 0
3 years ago
Please help! I’m in a test rn! If f(x) and g(x) are inverse functions of each other, which of the following statements is true?
White raven [17]

Answer:

D) (g\cdot f)(x)=x

Step-by-step explanation:

If two functions f(x) and g(x) are inverse of each other, then the following conditions must be true:

i. (f\cdot g)(x)=x

ii. (g\cdot f)(x)=x

Therefore, out of the four choices available, only option D matches the condition for inverse function to exist.

Therefore, (g\cdot f)(x)=x

5 0
3 years ago
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