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g100num [7]
3 years ago
9

Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her va

riable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?
Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0

Answer:

850

Step-by-step explanation:

Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.

We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.

So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.

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Compute x/y if
Marysya12 [62]

Let first consider the equations one by one and will be solving one by one ;

{:\implies \quad \sf x+\dfrac{1}{y}=4}

Multiplying both sides by y will lead ;

{:\implies \quad \sf xy+1=4y}

{:\implies \quad \boxed{\sf xy=4y-1\quad \cdots \cdots(i)}}

Now, consider the second equation which is ;

{:\implies \quad \sf y+\dfrac{1}{x}=\dfrac14}

Multiplying both sides by x will yield

{:\implies \quad \sf xy+1=\dfrac{x}{4}}

{:\implies \quad \sf xy=\dfrac{x}{4}-1}

{:\implies \quad \boxed{\sf xy=\dfrac{x-4}{4}\quad \cdots \cdots(ii)}}

As LHS of both equations (i) and (ii) are same, so equating both will yield;

{:\implies \quad \sf 4y-1=\dfrac{x-4}{4}}

Multiplying both sides by 4 will yield

{:\implies \quad \sf 16y-4=x-4}

{:\implies \quad \sf 16y=x}

Dividing both sides by y will yield :

{:\implies \quad \boxed{\bf{\dfrac{x}{y}=16}}}

<em>Hence, the required answer is 16</em>

5 0
2 years ago
A toy rocket was shot into the air. The graph below represents the height over the time of the rocket. Which of the following ar
Ludmilka [50]

Answer: Option 'B' and 'C' are correct.

Step-by-step explanation:

Since we have given that

A  rocket was fired into the air.

The rocket reached a maximum height of 59 feet at point (3.5,59) as shown in the figure.

And it took the rocket 3.5 seconds to reach its maximum height.

and the rocket landed after 6.9 seconds, So option 'D' is false which states  The rocket landed after 34 seconds.

The equation that represents the rocket’s height over time has two solutions is completely false as it has only one solutions.

Hence, Option 'B' and 'C' are correct.

8 0
3 years ago
Read 2 more answers
Can u help me with this it's hard ​
Pani-rosa [81]

Answer:

1. Adjacent 2. Vertical 3. Vertical 4. Neither 5. Adjacent

Step-by-step explanation:

7 0
2 years ago
Some of the steps in the derivation of the quadratic formula are shown. Step 4: StartFraction negative 4 a c + b squared Over 4
s344n2d4d5 [400]

The reason why we used plus or minus when taking the square root is because; The square root of terms separated by addition and subtraction cannot be calculated individually.

<h3>How to use the quadratic formula?</h3>

The general formula for a quadratic equation is;

ax² + bx + c = 0

Now, the steps to derive quadratic formula to find the roots of this equation are as follows;

Step 1; Divide both sides of the equation by a to get;

x² + (b/a)x + c/a = 0

Step 2; Transpose the quantity c/a to the right side of the equation to get; x² + (b/a)x =  -c/a

Step 3; Complete the square by adding b²/4a² to both sides of the equation to get; x² + (b/a)x + b²/4a² =  -c/a + b²/4a²

Step 4; Factor the left side and combine the right side to get;

(x + (b/2a))² = (b² - 4ac)/(4a²)

Step 5:  Extract the square-root of both sides of the equation to get;

x + (b/2a) = ±(√(b² - 4ac))/2a

The reason why we used plus or minus when taking the square root is because The square root of terms separated by addition and subtraction cannot be calculated individually.

Read more about Quadratic Formula at; brainly.com/question/8649555

#SPJ1

4 0
2 years ago
Round 98984 to one significant figure
VladimirAG [237]
  the answer is =100000The original (98984) had 5 significant figures and a least significant decimal of 0.The new format (100000) has 1 significant figure and a least significant decimal of 5.
8 0
3 years ago
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