Answer:
y = 1/3x + 4 1/3
Step-by-step explanation:
2x - 6y = 12
First find the slope
Solve for y
Subtract 2x
2x - 6y -2x= 12-2x
-6y = -2x+12
Divide by -6
-6y/-6 =-2x/-6 +12/-6
y = 1/3 x -2
The slope is 1/3
Parallel lines have the same slope
Using the slope intercept form y = mx+b where m is the slope and b is the y intercept
y = 1/3x +b
And substituting in the point
4 = 1/3 (-1) +b
4 = -1/3 +b
Add 1/3 to each side
4 + 1/3 = b
y = 1/3x + 4 1/3
Answer:
2,000(1.04)t
Step-by-step explanation:
To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.
Answer:
y=-3/13x-89/13
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-8)-(-5)/5-(-8)
m=-3/13
y-y=m(x-x1)
y-(-8)=-3/13(x-5)
y+8= -3/13x+15/13
-8 -8
y=-3/13x-89/13
Hi! :)
The radius of a circle is the length from the perimeter of the circle to the center of the circle.
If 24 inches is still 9 inches from the center, you just have to add 24 and 9 to get the radius.
24+9= 33
Your final answer should be that the radius is 33 inches.
Hope this helps!
Let us start with assuming the amount of coffee worth $20 a pound to be "x" pounds.
Now she wants to mix "x" pounds of $20 coffee with 70 pounds of $90 coffee.
So the mixture would be (x + 70) pounds.
And the value of mixture would be = 20·x + (90)·(70) = (20x + 6300) dollars.
She want to sell this mixture at rate of $30 a pound. Her earning would be = 30·(x + 70) = (30x + 2100) dollars.
We know that the value of mixture would be equal to her earnings.
30x + 2100 = 20x + 6300
30x - 20x = 6300 - 2100
10x = 4200
x = 420
So, 420 pounds of $20 coffee would be used.
