Answer:
A. 1 25/42
Step-by-step explanation: =-3 5/6 +5 3/7
= (-23/6)+ (38/7)
=(-161+228)/42
=-67/42
9514 1404 393
Answer:
Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
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<em>Explanation</em>
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
108-271+215-_____=-103
Im going to combine the first thee numbers and replace the blank with a variable, lets use x.
52 - x=-103
now I am going to subtract 52 on both sides to get the variable alone
-x=-155
Im going to multiply both sides to eliminate the negitive in the variable
x=155
If you want to check just plug 155 into the blank
108-271+215-155=-103
-163+215-155=-103
52-155=-103
-103=-103
so after checking work the blank is equal to 155.
k, n - integers
2k+1 - an odd integer
2n+1 - another odd integer
The product of them:
(2k + 1)(2n + 1) =
= 4kn + 2k + 2n + 1 =
= 2(2kn + k + n) + 1
The product of integers (2kn) is integer
and the sum of them (2kn+k+n) also is integer
So (2k + 1)(2n + 1) = 2(2kn + k + n) + 1 is an odd integer
That ratio will be 5/100 because it's 5 out of 100 people
Therefore the probability is <= 5%