Answer:
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of
50 inches 4/5*x=40
x=40/(4/5)
x=40*5/4=200/4=50 x=50 inches
Answer:
Ok, we have a system of equations:
6*x + 3*y = 6*x*y
2*x + 4*y = 5*x*y
First, we want to isolate one of the variables,
As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:
(6*x + 3*y)/(2*x + 4*y) = 6/5
now we isolate one off the variables:
6*x + 3*y = (6/5)*(2*x + 4*y) = (12/5)*x + (24/5)*y
x*(6 - 12/5) = y*(24/5 - 3)
x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y
Now we can replace it in the first equation:
6*x + 3*y = 6*x*y
6*(0.5*y) + 3*y = 6*(0.5*y)*y
3*y + 3*y = 3*y^2
3*y^2 - 6*y = 0
Now we can find the solutions of that quadratic equation as:

So we have two solutions
y = 0
y = 2.
Suppose that we select the solution y = 0
Then, using one of the equations we can find the value of x:
2*x + 4*0 = 5*x*0
2*x = 0
x = 0
(0, 0) is a solution
if we select the other solution, y = 2.
2*x + 4*2 = 5*x*2
2*x + 8 = 10*x
8 = (10 - 2)*x = 8x
x = 1.
(1, 2) is other solution
N + d = 20 (there are a total of 20 nickels and dimes).05n + .1d = 1.4 (total change equals $1.40)
Answer:
The slope is 3
Step-by-step explanation:
m = rise/run
m = (y2 - y1)/(x2-x1)
points: (0,-5), (1,-2)
m = ((-5) - (-2))/ ((0) - (1))
m = (-5 + 2)/ (-1)
m = -3/-1
m = 3