Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.

Prove That The Value Of The Expression 7^87^7 +7^6 Is Divisible By 43.

Answers

Answer 1

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.


Related Questions

ANSWER GET BRAINLIEST

Answers

Step-by-step explanation:

Ay bro use photomath its really easy to awnsere with it just take a photo of the question and it'll give u steps

HELP A B OUT HELP A B OUT HELP A B OUT HELP A B OUT

Answers

X=5
Measure of angle BCA= 55
Measure of angle B= 76

Robertson builds 3 chairs every hour how many hours does he have to work to build 999 chairs

Answers

Answer:

333 hours

Step-by-step explanation:

you didvide 999by 3

what percent is 25 out of 72

Answers

Answer:

35%

Step-by-step explanation:

It’s 34.722222222222%, but if you round it up, it’s about 35%.

25 divided by 72 = 34.7222%

Which ordered pair is NOT included in a graph of y=x+5?

Answers

I need the picture to answer it

If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all

Answers

Answer:

there are 123 pieces of lead in all

The Franklins inherited $3,500, which they want to invest for their child's future college expenses. They use the following formula to calculate the value of their investment over time, where
A = value of the investment after years, P = principal invested, r = annual interest rate, and n = number of times compounded per year.
A = P(1 +
you
71
If they invest the inherited money at an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years?

Answers

Answer:

1443.75 i think

Step-by-step explanation:

Thus,  Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.

The Franklins inherited $3,500, which they want to invest for their child's future college expenses. Using formula [tex]A = p(1+r/n)^{nt}[/tex]
where A is the value of the investment after t years, P is the principal invested, r is the annual interest rate and n is the number of times compounded per year.
an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years is to be determined.

What is Statistic?

Statistic is the study of mathematics which deal with relations between comprehensive data.

Using formula [tex]A = p(1+r/n)^{nt}[/tex]

[tex]A = 3500*(1+0.0825/12)^{12*5}\\A = 3500*(1+0.006)^{60}\\A = 3500*(1.006)^{60}\\A = 5011.25\\[/tex]
A ≈ 5011

Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ2


while shopping for clothes jacklyn spent $38 less than 2 times what Daniel spent. Jacklyn spent $10. Write and solve an equation to find out how much daniiel spent. Let x trepresent what daniel spent.

Answers

If Daniel spent x dollars, then Tracy spent
3x−8 dollars. Since Tracy spent $10, we can write the equation:
3x-8 = 10
3x = 18
x = 16
so Daniel spent 6$

Function C gives the cost, in dollars, of buying n apples. What does this equation represent in this situation?

C(5)=4.50

help pls

Answers

Answer:

The cost of 5 apples.

Step-by-step explanation:

Typically the equation would be written as C(n) = 4.50

Since 5 is where 'n' should be, then that means the number of apples in the equation is five.

C(5) = 4.50

Means, that 5 apples cost $4.50

6) 9x - 7y = -4
18x - 14 y = 10
A) (8, -1)
C) (-8,-8)
B) (-8,-1)
D) No solution

Answers

Answer:

D). No solution

Step-by-step explanation:

9x - 7y = -4

18x - 14 y = 10

9x - 7y = 5

9x - 7y = -4

9x - 7y = 5

__________--

0 = -9

No solution

i need help asap do tonight

Answers

Answer:

The first one..

Step-by-step explanation:

Answer:

The top one

Step-by-step explanation:

If you minus 19-10 you get 9 then if you divide 9 by 3 you get 3 which means that each soda costs 3 bucks

y + 2x = -1

y = 1/2x + 4

Answers

Answer:

x = -1

y = 3

Step-by-step explanation:

y + 2x = -1

y = 1/2x + 4

(1/2x + 4) + 2x = -1

1/2x + 2x + 4 = -1

2 1/2x + 4 = -1

2 1/2x = -1 - 4

2 1/2x = -5

x = -5 / 2 1/2

x = -2

y + 2x = -1

y + 2(-2) = -1

y - 4 = -1

y = -1 + 4

y = 3

What do you get when you simplify 12/8

Answers

Answer:

3/2

Step-by-step explanation:

You can divide both 12 and 8 by four. Dividing 12 by four gives you 3 and dividing 8 by 4 gives you 2. This makes the simplified fraction 3/2

:)

4 1/2 - 1 2/3 = ?


what is the question mark ?​

Answers

Answer:

17/6 LMK if you need a different form.

Step-by-step explanation:

PLEAE HELP I WILL GIVE BRAINLIST can someone please help with 4,5,6 and use the box method on a paper please I need this ( show work ) please!

Answers

All the answers with workings are in those following pictures.

How many minutes in 255 seconds A)2 11/12 B)3 5/12 C)3 3/4 D) 4 1/4

Answers

Answer:

4 1/4

Step-by-step explanation:

divide 255 by 60

41 /4 minutes jvavkala

Convert 6.3 m to millimeters

Answers

Hi. 6.3 meters to millimetres is 6300

SOMEONE HELP I'LL MARK CORRECT ANSWER BRAINLY

Answers

Answer:

B

Step-by-step explanation:

If a pound of coffee costs 12. How many ounces can be brought for 3.90

Answers

32.5 is the right answer I believe

Please i need help thank you!..

Answers

Question 4 is Choice A
Question 5 is Choice B
Question 6 is Choice C
Question 7 is Choice B

These are relatively simple it’s just understanding the relations of x and y values :)

evaluate f(x)=x/x-5 when x=3

Answers

Answer:

Step-by-step explanation:

3/3-5=3/-2

I need help ASAP have a picture

Answers

What does the question say cause I can’t see it

The maroon team and the orange team played a game of football. The maroon team scored 20 points and the orange team scored 6 points. What is the ratio of points scored by the maroon team to points scored by the orange team?

Answers

Answer:

20/6 or 10/3

Step-by-step explanation:

-9(8x — 8) = 8(-7 - 10x)

Answers

Answer:

×=1/3

Step-by-step explanation:

8x –3(5x–2)=7–10x

Distribute

8x - 15x +6 = 7-10x

Combine like terms

-7x + 6 = 7- 10x

Add 10x to each side

-7x +10x+ 6 = 7- 10x+10x

3x+6 = 7

Subtract 6 from each side

3x+6-6 =7-6

3x = 1

Divide each side by 3

3x/3 = 1/3

x = 1/3

Find what the value of x.
60
15
30
45

Answers

Answer:

ANS;;;; 45 ...........................

The answer is 45
Explanation: because the angle is a 90 degree angle and the line goes directly through the angle so you would divide 90 by 2 therefore getting 45

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.
p = −0.3x + 6 and p = 0.05x + 2.5
equilibrium quantity
units
equilibrium price $

Answers

9514 1404 393

Answer:

  (x, p) = (10, 3)

Step-by-step explanation:

Equating the expressions for p, we have ...

  -0.3x +6 = 0.05x +2.5

  3.5 = 0.35x . . . . . add 0.3x-2.5

  10 = x . . . . . . . . . . divide by 0.35

  p = -0.3(10) +6 = 3

The equilibrium quantity is 10 units.

The equilibrium price is $3.

Eric is x years old. Eric's sister is 5 years older than Eric. His mother is 3 times his sister's age. His father is x years older than his mother. How old is Eric's father if he was 8 years old? How old is Eric's mother is he was 8 years old?

Answers

Answer:

Eric´s mother is 39 years old.

Step-by-step explanation:

Eric is 8, so 8+5 = 13 then 13x3 = 39

Answer:

Eric mother was 39 years old and the father is 47 years old.

Step-by-step explanation:

I hope this helped.

can somebody please help

a. 44.5

b. 15

c. 37.5

d. 26.25

Answers

Answer:

I think c

Step-by-step explanation:

not completely sure cant see question

It is c because 30+5= 35

Plerson's science grades were 95,87, 75,78, 84, and 97.
What was the average of her grades?

Answers

Answer:

The average is 86

Step-by-step explanation:

so you have to take all the numbers and add them together, the answer of all the numbers together should be: 516. Then you divide 516 by 6 which equals 86.

So the average of 95,87,75,78,84, and 97 is 86

Hope this helps:)

Estimate the sum to the nearest ten. 772 + 146 =
?

Answers

Answer:

920

Step-by-step explanation:

added up the original answer would be 918 but you have to round up to 920

Answer:

918.0

Step-by-step explanation:

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