Given:
50 earring boxes with a measure of 1 inch each side
volume of boxes = a³ = 1³ = 1 in³
total volume of boxes = 1 in³ * 50 boxes = 50 in³
volume of a rectangular prism = length * width * height
50 in³ = length * width * height
Let us assume that the height is 1 in.
length and width can be factored:
50 x 1
25 x 2
10 x 5
I can only make 3 rectangular prisms
Answer:
6.5
Step-by-step explanation:
43.50-24=19.5
19.5/3=6.5
Answer:
50% ( rounded to the nearest tenth of a percent)
Step-by-step explanation:
In this question, we are asked to find the percentage decrease in the price of the bottle of water.
To do this, what we do is that we subtract the new price from the old price, then we divide the result by the old price and multiply the result by 100.
Mathematically,
Percentage decrease in price = (old price- new price)/old price * 100%
Percentage decrease in price= (2.65-1.4)/2.65 * 100%
1.25/2.65 * 100% = 47.2%
We were asked to round to the nearest tenth of a percent. This brings our answer to 50%
There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
The best answer the question above is D.
