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Elena-2011 [213]
2 years ago
13

Wheat contains about 2.5 kcal per gram, and the average U.S. male consumes 2500 kcal per day. How many hectares of wheat are nee

ded to support one average U.S. male for a year, assuming that 30 percent of his caloric intake is from wheat?
Mathematics
2 answers:
Yuri [45]2 years ago
3 0
First of 30% of 2500kcal is 750kcal
if a male consumes 2.5 kcal then 750kcal / 2.5kcal = 300
but then we would need to know how many wheat are on one hectare of land.
Stels [109]2 years ago
3 0

Answer:109.5 Kg

Step-by-step explanation:

Given

Given 30 % of intake is from wheat

Therefore an US male consumes 0.3(2500)=750 kcal per day

and For 1 year it is 750\times 365 =273750 kcal per year

and wheat contains 2.5 kcal per gram

therefore =\frac{273750}{2.5}=109.5 kg of wheat is required For an US male.

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Tim was given a large bag of sweets and ate one third of the sweets before stopping as he was feeling sick. The next day he ate
mars1129 [50]

Answer: In the beginning he was given 27 sweets.

Step-by-step explanation: The most logical thing to do is to solve it backwards, that is, from what he had at the end of the third day up till the beginning of the first day.

On the third day he ate one-third and had 8 sweets left over. To determine how many he started with on the third day, let the total on day three be called a. If one-third of a is eaten, then the left over which is two-thirds is 8. That is;

8/a = 2/3

By cross multiplication we now have

8 x 3 = 2a

24/2 = a

a = 12

Let the number of sweets he had on day two be called b. If he ate one-third of b and he had 12 left over, then the two-thirds left over is 12 and we now have;

12/b = 2/3

By cross multiplication we now have

12 x 3 = 2b

36 = 2b

36/2 = b

b = 18

Let the number of sweets he had on day one be called x. If he ate one-third of x and he had 18 left over, then the two-thirds left over is 18, and we now have;

18/x = 2/3

By cross multiplication we now have

18 x 3 = 2x

54 = 2x

x = 27

Therefore Tim was given 27 sweets at the beginning.

3 0
2 years ago
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
CaHeK987 [17]

Answer:

Her expenses are $25 per week.

Step-by-step explanation:

Given :Jessica earns a commission on each sale but has to pay for her own expenses.

She writes the equation of the function like this: E(x) = 7x - 25, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?

Solution:

E(x) = 7x - 25

x is the number of doors she knocks on during the week

E(x) is her earnings for the week in dollars.

Calculate y intercept

Substitute x = 0

y= - 25

Since E(x) is her total earning after clearing the payment of all her expenses.

So, 25 is her expenses per week.

Since we are given that she need to pay her expenses .

So, if there is no sale , still she need to pay expenses.

Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.

4 0
2 years ago
Read 2 more answers
An entrepreneur estimates his total profit (total revenue minus total cost) for his proposed company as p(x) = x3 − 4x2 + 5x − 2
RideAnS [48]

Answer:

Year in which the entrepreneur break even is 4

Step-by-step explanation:

We are given:

p(x) = x^3-4x^2+5x-20

We would find the value of x

Solving:

x^3-4x^2+5x-20 = 0

(x^3-4x^2)+(5x-20) = 0

x^2(x-4)+5(x-4) = 0

(x-4)(x^2+5)=0

=> x-4 = 0 and x^2+5 =0

x = 4 and x^2 = -5

x = 4 and x = ±√-5 or ±√5 i (not real solutions)

So, x = 4

So, year in which the entrepreneur break even is 4

4 0
1 year ago
A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18 . If s represents the cost
dolphi86 [110]

Let the price of 1 shirt be represented by = s

A pair of pants costs twice as much as a shirt, then the cost of pants is = 2s

The total cost of 1 pair of pants and 1 shirt is $18 , means : s+2s=18

Solving this we get,                            

3s=18

s=6

So, the price of 1 shirt is $6 and price of 1 pair of pants is = 2s = 2*6 = $12.

8 0
2 years ago
Read 2 more answers
one side of a right angled triangle is 10cm the other two are both of length x calculate x to 2 decimal place
shepuryov [24]

Answer: x = 7.07

Step-by-step explanation:

Using Pythagoras theorem , since it is a right angled triangle ,

side 1 = 10cm

side 2 = x cm

side 3 = x cm

Pythagoras theorem  states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. That is

10^{2}=x^{2}  +x^{2}

100 = 2x^{2}

divide through by 2 , we have

50 = x^{2}

find the square root of both sides

x = \sqrt{50}

x = 7.07

8 0
2 years ago
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