Answer:
4 lbs left after 5 days
Step-by-step explanation:
First, you need to step up an equation!
You know that Soomin has a total of 20 pounds and that she's using it, so you are going to use subtraction.
She uses 3 1/5 pounds per day so you write:
20 - 3 1/5x
and you know that she wants to know how much she has left after 5 days so you replace the x with 5:
20 - (3 1/5) * 5
Multiply first:
20 - 16
After Subtracting you get the answer:
4 lbs left
Remark
There must be 12 such boxes. Each one has a volume of 4 * 4 * 4 = 64 in^3
Proportion
1 box is 64 in^3
12 boxes = x
1/12 = 64/x Cross multiply
x = 12 * 64
x = 768 in^3
Note: We are not concerned with how to stack these boxes. We only want to know the volume.
Answer:
yes the two equations are equivalent
The given equations are y= 6x^2+1 and y=x^2+4
Both the equations equal y so we can make them equal
6x^2+1=x^2+4
To bring x term on one side we subtract x^2 both sides
6x^2-x^2+1=4
5x^2+1=4
To isolate x term we subtract 1 both sides
5x^2=4-1
5x^2=3
Dividing by 5 both sides
X^2=3/5
Taking root of both sides we have:
X=±√⅗
Substituting x value to find y
When x=+√⅗=0.7745
Y= 6x^2+1
Y=6(3/5)+1
Y= 18/5+1
Y=23/5 =4.6
When x= -√⅗=-0.7745
Y= 6(3/5)+1
Y=23/5=4.6
Point of intersections are ( 0.7745,4.6) and (-0.7745,4.6)
