Write it out as a set of equation:
Let x be number of 8 cent stamps, y be 10 cent stamps, and z be 2 cent stamps.
x=y
z=x+y
8x+10y+2z=440
Lets first solve for x:
from x=y and z=2x(from first equation) the last equation is
8x+10x+4x=440
22x=440
x=20
know that x=20, you also know that y=20 as well, since z=x+y, z=40.
So 20 8-cent stamps, 20 10-cent stamps, and 40 2-cent stamps.
Answer:
B) 5.5
Step-by-step explanation:
Answer:
- m = (2-(-2))/(2-(-2)) = 4/4 = 1
- y +2 = 1(x +2)
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (x1, y1) is ...
y -y1 = m(x -x1)
To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...
m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope
The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...
y -(-2) = 1(x -(-2))
y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in
__
The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.
Answer:
See explanation
Step-by-step explanation:
Given the function f(x) for which
If you want to plot the corresponding points for the inverse of the function f(x), change 
into 
:
switch x and y
and then change into 
You get
Now plot these points on the coordinate plane (see attached diagram).
answer:
5.002 inches
step-by-step explanation:
- find the diameter of the circle
- the diameter is the side length of the square since the sides of it are touching the circle
c = 2πr
- c stands for circumference
- π stands for pi (or 3.14)
- r stands for radius
- plug in the values given to find the diameter
c = 2πr
15.71 = 2(3.14)r
15.71 = 6.28r
r = 2.501 (rounded or estimated)
- now that we have the radius, we can find the diameter by multiplying by 2, since diameter is two times bigger than the radius
diameter = 5.002 (estimated)
- now, that will be the side length because the diameter = the side length
