Answer:
since the unknown amount can buy 100 pencils
he bought 70 pencils
therefore $4.50 can buy 30 pencils
so 1 pencils cost $4.50 /30=0.15
You would equal the equations together then solve for a variable.
-4x - 3 = -2x + 1
-4x + 2x = 1 + 3
-2x = 4
—— —-
-2 -2
x = -2
then take that x value and substitute it into any one of the equations.
Equation #1
y = -4(-2) -3
= 8 - 3
= 5
Equation #2
y = -2(-2) + 1
= 4 + 1
= 5
Answer:
6
Step-by-step explanation:
Answer: 
Step-by-step explanation:
A direct variation equation has the form:

Where <em>k</em> is a constant.
By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.
Then, knowing that <em>y</em> is the dependent value and <em>x</em> the independent value and the constant <em>k=4, </em> you can write the following direct variation equation that represents the situation.

Parameterize ![S{/tex] by[tex]\vec s(u,v)=u\,\vec\imath+v\,\vec\jmath+(8-u^2-v^2)\,\vec k](https://tex.z-dn.net/?f=S%7B%2Ftex%5D%20by%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cvec%20s%28u%2Cv%29%3Du%5C%2C%5Cvec%5Cimath%2Bv%5C%2C%5Cvec%5Cjmath%2B%288-u%5E2-v%5E2%29%5C%2C%5Cvec%20k)
with
and
.
Take the normal vector to
to be

Then the flux of
across
is


