Answer:
Step-by-step explanation:
The formula we need here is

which simplifies to

which simplifies to
36 + 6x = 40 + 5x and
x = 4
So DG = 5 + 4 + 3 which is 12
Answer:
-1 1/4
Step-by-step explanation:
1/4 - (1 1/2)
Get a common denominator
1/4 - 1 2/4
Take the larger number and subtract the smaller number and take the sign of the larger
1 2/4 - 1/4 = 1 1/4
The sign of the larger was negative
-1 1/4
Okay, so if with 10 games, they win 6, they would win 12 with 20. To find the 5, you would find half of 6 (since half of 10 is 5). Half of 6 is three. 3 plus 12 is 15. They would win 15 games.
Answer:
d. 9 integers
Step-by-step explanation:
Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.
We are to find relatively prime with 28 which are greater than 10 and less than 30
We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30
To be relatively prime with 28, common factors should be only 1.
28 = 2x2x 7. Hence the numbers which do not have factors as 2 or 7 will be relatively prime. Remove all the even numbers from the list.
We have 11,13,15....29.
Of these 21 is the multiple of 7 so remove that.
Thus we have now 11,13,15,17,19,23,25,27,29
9 integers
d. 9 integers
Answer:
The real part is 32, while the imaginary part is 41.9
Step-by-step explanation:
z is a complex number. A complex number is made up of real and imaginary parts.
The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.
i is actually equal to
. There is no solution for that.
Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.
Note: the imaginary part does not contain i.