Answer:
C) 52 in^3
Step-by-step explanation:
The first is to determine the formula of the volume of the box, which would be the following:
V = height * length * width
Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:
length = 10 - 2 * x
width = 8 - 2 * x
height = x
Now we calculate the volume:
V = x * (10-2 * x) * (8-2 * x)
To determine the maximum volume we will give values to x in order to see how it behaves:
Let x = 2.5
V = (5) * (3) * (2.5) = 37.5
Let x = 2
V = (6) * (4) * (2) = 48
Let x = 1.5
V = (7) * (5) * (1.5) = 52.5
Let x = 1
V = (8) * (6) * (1) = 48
Let x = 0.5
V = (9) * (7) * (0.5) = 31.5
It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3
D
because his 5 neighbors don’t represent all of Florida and neither do 200 Miami residents or only people over the age of 65.
'12' and '48' (choices 'A' and 'D') will both work as common denominators.
The least one is '12' .
Since 4 is a factor of 12, any multiple of 12 is also a multiple of 4 , and can
serve as a common denominator. The smallest multiple of 12 is 12 itself.
One hosta cost $8 and one pot of ivy cost $3.
Step-by-step explanation:
Let,
Hostas = x
Pot of ivy = y
According to given statement;
7x + 3y = 65 Eqn 1
3x + 3y = 33 Eqn 2
Putting value of x in Eqn 1;
One hosta cost $8 and one pot of ivy cost $3.
Keywords: Linear Euqations, Addition.
Learn more about linear equations at:
#LearnwithBrainly
No not always sometimes you have to reduce it.
