Seven integers, x1, x2, x3, x4, x5, x6, and x7, are picked at random from the set of all integers between 10 and 110, inclusive. If each of these integers is divided by 7 and the 7 remainders are all added together, what would be the sum of the 7 remainders?

Answers

Answer 1
Answer:

Answer:

0+1+2+3+4+5+6=21

Step-by-step explanation:

Since integers are given as x1, x2, x3, x4, x5, x6, and x7. This means they are consecutive integers divisible by 7.

Thus no matter which 7 consecutive integers are these, their reminders will always be in the order of 0,1,2,3,4,5 & 6.

So their sum  will be 0+1+2+3+4+5+6=21.


Related Questions

the sum of Kris and Victor's ages is 27 years.  in 3 years, victor will be twice as old as Kris will be.  what are their present ages?
In ΔABC, b = 69 cm, c = 59 cm and ∠A=72°. Find the area of ΔABC, to the nearest square centimeter.
Lee had a total of 40 e-mails on Monday. Twelve of the e-mails were from her friend Cara. What percent of the e-mails were from Cara?
The regular price for a pair of shoes is $48. The store is having a buy one get one off sale. If you buy 2 pairs of shoes for that price, what percent discount is that?
HELP ILL GIVE BRAINLY IF RIGHT !ROYGBIV is ana.Acronymic sentencec.Flashcardb.Acronymic abbreviationd.None of thesePlease select the best answer from the choices providedABCD

The weights for a population of North American raccoons have a bell-shaped frequency curve with a mean of about 12 pounds and a standard deviation of about 2.5 pounds. About 95% of the weights for individual raccoons in this population fall between what two values?

Answers

Answer:

Step-by-step explanation:

Given that the weights for a population of North American raccoons have a bell-shaped frequency curve with a mean of about 12 pounds and a standard deviation of about 2.5 pounds

Since bell shaped is given we can assume that this follows a normal distribution symmetrical about the mean.

To find 95% two values we can use Z critical value for 95%

i.e. ±1.96

95% will lie between 12±1.96(2.5)

= 12±4.9

=(7.1, 16.9)

Which advantage do consumers gain from buying a vehicle rather than leasing it?A. smaller down payment
B. no mileage restrictions
C. lower interest rates
D. no value depreciation
E. lower maintenance costs

Answers

c is your answer you are welcome

Answer:

B

Step-by-step explanation:

4a ^ 2 - 20ab + 25b ^ 2​

Answers

Answer:

(2a-5b)^2

Step-by-step explanation:

4a^2 - 20ab + 25b^2 = (2a)^2 - 2*2a*5b + (5b)^2 = (2a-5b)^2

The sales tax in bills state is 6% Bill bought a scionon having a sales tax of $820 what was the cost of the car round to the nearest dollar

Answers

so if you get 20% of 13,668 you get 820.08
 If you get 20% of 13,666 you get 819.96
If you get 20% of 13,667 you get 820.02
and if you get 20% of 13,665 you get 819.90
so if they want you to round the cents then 13,666 would be your answer because when you do this ----> 13,666X.06=819.96 you might have to round the 6 to 9 which makes 819.96 into 820 so answer is B

If i have 2 apple and get 3 more then lose 2 how many do i have left

Answers

You have 2 apples, get 3 more, and then lose 2 of them.

So, you HAVE 2 apples, and if you get 3 more, you can add it to the 2.
2 + 3 = 5

In total at the moment, you have 5 apples. Now, you lose 2 more. We can subtract that from our total number of apples.
5 - 2 = 3

We now know that you are left with 3 apples.
2 apples + 3 apples - 2 apples = 3 apples

7÷3×5x÷12. Can someone help me multiply rational expressions and divide rational expressions? Please and thank you.

Answers

In this case, because there are no exponents or brackets, (BEDMAS) you would just do it in the order given. 

7÷3×5x÷12= 7×1/3 × 5x × 1/12
To divide, make the numbers after the divide sign into fractions.(ex: 3= 1/3)
Then multiply it out:
                = 7/3 × 5x/12
                = 35x/34
Then because the numerator is bigger then the denominator, make the improper
fraction into a mixed fraction:
                = 1 1x/34

Hope this helps! 
7 ÷ 3 · 5x ÷ 12
7 ÷ 15x ÷ 12
7 ÷ 5x/4
28x/5