Answer:
The squirrel gathered 200 nuts altogether
Step-by-step explanation:
Please kindly see the attached files for explanation
Answer:
Fraction of jokes of Brandon that are funny = 
Step-by-step explanation:
We are given that, 30% of the Brandon's jokes are funny.
Now, to convert percent into fraction, we will multiply it by 
Now,

∴
of the Brandon's jokes were funny.
Answer:
4x+3y-10=0
Step-by-step explanation:
first find the gradient of the line that is perpendicular to the line of interest.
y2-y1/x2-x1
3--3/6--6
=3+3/6+6
=9/12
3/4
The gradient of the line of interest is the negative reciprocal of 3/4. Therefore m is -4/3
next, substitute information into
y-y1=m(x-x1)
y-2=-4/3 (x-1)
multiply both sides of equation by 3
3y-6=-4 (x-1)
expand brackets
3y-6=-4x+4
rearrange in general form
4x+3y-10=0
Divide both sides of the equation by 3 to get p by its self.
Answer:
The two lines intersect (in other words, they have a common meeting points)
Step-by-step explanation:
Thinking process:
A linear equation takes the form of 
where , m = gradient
c = y-intercept (point where the line cuts the y-axis)\
Suppose we have these two linear equations: 
We can find the point of intersection by solving the two equations simultaneously like this:
sub y = 2x + 4 into equation (2) gives:
2(2x+4) = -6x -1
solving yields
- 0.9
Substituting x= -0.9 into equation 1 yields:

y = 2.2
In terms of the Cartesian coordinates (x, y) the point of intersection will be (-0.9, 2.2)
Hence, the point of intersection is a solution of two linear equations.