<h3>Hello There !! </h3>
<h3><u>Explanation :- </u></h3>
• Amount received by Rui = 5x = 5 x 11 = $55..
• Amount received by Vishal = 9x = 9 x 11 = $99..
Let the amount received by Rui be 5x..
Then the amount received by Vishal is 9x ..
And by this data = 5x + 44 = 9x ..
• Amount received by Rui = 5x = 5 x 11 = $55..
• Amount received by Vishal = 9x = 9 x 11 = $99..
<h3>Hope this helps you..! </h3>
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
The correct answer is (10,-20), because the equation already gives you the correct x value. Then, from there you just plug 10 in for x in the y equation. Giving you a -20, :)
3 fourths of an hour is : (3/4)
(3/4)*4=3 hours
hope this helps!
Answer:
Step-by-step explanation:
Let x be the irrational number that can be multiplied by -√41 to get a product that equals 1.
Solve for x, by dividing through with -√41
This gives us:
This is the same as:
Or
Therefore the irrational number is
