Set up a proportional relationship:
xf/1n=(f/5)/(n/3)
xf/1n=3f/(5n) multiply both sides by 1n
xf=3f/5 so
x=3/5
Dave must mix in 3/5 of a cup of fruit with a single cup of nuts.
You could of also just noted that you need to multiply 1/5 times 3 because 1/5 mixes with just 1/3 of a cup of nuts...
Answer:
Step-by-step explanation:
x^3 + x^2 - x + 2 \ x + 4 = x^2 -3x + 11 - 42/(x+4)
Answer:
113.04 cubic inches.
Step-by-step explanation:
We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.
To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.
, where,
r = Radius of cylinder,
h = Height of cylinder.
First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.


Upon substituting our given values in volume formula we will get,
Therefore, one can of soft drink contains 18.84 cubic inches of drink.
To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.
Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.
Answer:
Center: (-5,10)
Radius: 2
Step-by-step explanation:
The equation of the circle in center-radius form is:

Where the point (h,k) is the center of the circle and "r" is the radius.
Subtract 121 from both sides of the equation:

Add 10x to both sides:

Make two groups for variable "x" and variable "y":

Complete the square:
Add
inside the parentheses of "x".
Add
inside the parentheses of "y".
Add
and
to the right side of the equation.
Then:

Rewriting, you get that the equation of the circle in center-radius form is:

You can observe that the radius of the circle is:

And the center is:
