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kenny6666 [7]
3 years ago
15

Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If

each ewe earns the farmer $20/year, how much money does that farmer earn in one year?​
Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

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serg [7]

Answer:

e. 55 miles hope that helped

6 0
3 years ago
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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,
kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

V_{flask}=V_{sphere}+V_{cylinder}.

Use following formulas to determine volumes of sphere and cylinder:

V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

  • V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;
  • V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;
  • V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.

Then

\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.

Answer 2: correct choice is D.


8 0
4 years ago
Read 2 more answers
Why is 3 + (−5) equal to −2?
VashaNatasha [74]

since the 5 is a negative you are actually subtracting it from 3

 so 3 +(-5) is actually 3-5. which = -2

7 0
3 years ago
A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. You ask a friend to pick one without looking. What is the
slavikrds [6]
He’ll probably pick the blue marble
8 0
3 years ago
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Ivanna has to carry 308 apples from a farm to the market. How many baskets will she need, given that each basket
Arisa [49]

Answer: I would say 9 baskets

Step-by-step explanation: if you divide 308 by 36, it would be 8.55. Logically speaking, you can’t have 8.5 baskets. So 9 it is.

7 0
3 years ago
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