He got 32 yards total last time
Let x be the number.
The equation would be: 5 (2x - 11) = -25
Multiply 2x - 11 by 5 so that it is 10x - 55
Now, move the -55 to the other side of the equation so 10x = -25 + 55
Subtract so 10x = 30
Now divide 30 by 10 to find x.
x = 3
Answer:
A positive integer is greater than a negative integer. Therefore, 2 is greater than –4. ... To compare two negative integers, the negative integer with the smaller number is greater.
Step-by-step explanation:
Hope you enjoy and this helps!
We're looking for a solution of the form . By the chain rule, this solution should have total differential
and the equation is exact if the mixed second-order partial derivatives of are equal, i.e. .
The given ODE is exact, since
Then
With , we get
Step-by-step explanation:
Claim:
it takes n - 1 number of breaks to break the bar into n separate squares for all integers n.
Basic case -> n = 1
The bar is already completely broken into pieces.
Case -> n ≥ 2
Assuming that assertion is true for all rectangular bars with fewer than n squares. Break the bar into two pieces of size k and n - k where 1 ≤ k < n
The bar with k squares requires k − 1 breaks and the bar with n − k squares
requires n − k − 1 breaks.
So the original bar requires 1 + (k−1) + (n−k−1) breaks.
simplifying yields,
1 + k − 1 + n − k − 1
1 - 1 + n - 1
n - 1
Therefore, we proved as we claimed that it takes n - 1 breaks to break the bar into n separate squares.