She ate 1/8 of the cornbread, and this is fully simplified as well.
The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x²
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder
V2= base(circle)×height
V2=(3x)²×pi×h=9x²×h
so we have
9x²×pi×h=45×pi×x³
simplified h=5x
<u>Answer:</u>
First car: 35 gallons
Second car: 15 gallons
<u>Step-by-step explanation:</u>
Assuming 
to be the gas consumed by 1st car and 
to be the gas consumed by 2nd car.
We know that:
Distance traveled = fuel efficiency × gas consumed
So 
Therefore, first car consumed 35 gallons while second car consumed 15 gallons.
Answer:
Step-by-step explanation:
1. Nutria, in fact, do feed on noxious weeds.
2. Nutria feed on native plants that hold wetland soil together.
3. The largest nutria populations are located in freshwater rocky coastal areas of New England.
4. Another name we could give to nutria would be invasive species.
5. Nutria's digging, rooting, and swimming causes massive erosion, converting healthy marsh habitat for native species into open water habitat.
6. The nutria’s relatively low reproductive rate help keep their numbers in check.
The answer for this is 1, 2 and 4, 5
This is USAtest prep
Answer:
<em>Their total sales (revenue) when they break-even is $250,000</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some situations can be mathematically represented as linear functions. If we are in a situation where a linear model is suitable, then we need two independent data to build it up.
The linear function can be expressed in the slope-intercept format:
y = mx + b
Where m and b are constant values.
The total cost function for Rally Co.'s to produce x toy trucks is:
C(x) = 200,000 + 4x
Given they sell each truck for $20, the revenue function is:
R(x)= 20x
The break-even condition is when the costs and the revenue are equal:
20x = 200,000 + 4x
Subtracting 4x:
16x = 200,000
Dividing by 16:
x = 200,000/16
x = 12,500 toy trucks
The revenue at this production level is:
R(x)= 20*12,500=250,000
Their total sales (revenue) when they break-even is $250,000
