Answer:
To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest.
Step-by-step explanation:
Answer: 1020 ways
Step-by-step explanation:
Let C= comedy
Let M= Mystery
Number of movies(comedy) = 10
Number of movies (mystery) = 10
The total number of movies from which selection is to be made is 10 + 10
= 20
We want to pick 3 movies from 10 comedies and 10 mysteries with at least one mystery.
The selection will be from;
Unconditional selection - (0 mysteries)
=unconditional selection - ( all comedy included)
= 20C3 - 10C3 For combination, [nCr = n! /(n-r) r! ]
= [20!/(20-3)!3!] - [10!/(10-3)!3!
= (6840/6) - (720/6)
= 1140 - 120
= 1020 ways
Answer:
length: 23 m; width: 11 m.
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width, so that sum is 34 m. Then you can write two equations in length and width:
l + w = 34
l - w = 12
Adding these together gives you ...
2l = 46
l = 23 . . . . . . divide by 2
Then the width is
w = 23 -12 = 11
The length and width are 23 m and 11 m, respectively.
keeping in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
