So, first lets define our variables:
let x = the number of dimes
let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16
now substitute:
.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5
So, you have 11 dimes and 5 nickels
Answer: y=-6x-25
Step-by-step explanation:
Find slope of original line by solving for y
3y+6x=6
y+6x=2
y = -6x+2 <--- we have found the slope is -6
Using y-y1 = m (x-x1) find the equation for the parallel line:
y-(-7)= -6(x-(-3)) <--- plug in the point coordinates and slope into the equation and solve for y
y+7=-6x-18
y=-6x-25
Answer:
x
=
−
8 and y
=
5 or (-8, 5)
Step-by-step explanation:
Information we know:
a 15 ounce cup takes 3 second to fill
determine variables:
x=3
y=15
rate:
y/x=3/15= 0.2
fixture an equation:
y=kx
y=0.2x
plug in 40 for x:
y=0.2(40)
=8
Thus, it should take 8 seconds to fill a 40-ounce cup of soda.
The surface (call it
) is a triangle with vertices at the points



Parameterize
by

with
and
. Take the normal vector to
to be

Then the flux of
across
is


