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3 years ago

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If the total operating cost for a 20-acre organic strawberry farm is $551,520, how many acres are on a farm with a total operati

ng cost of $441,216?

2 answers:

larisa86 [58]3 years ago

7 0

Answer:

16 acres

Step-by-step explanation:

First find the operating cost for 1 acre. Find that by dividing $551,520 by 20 acres. That gives us $27,576 per acre. Now we can set up a proportion to solve for the number of acres that have an operating cost of $441,216:

$\frac{cost}{acre}:\frac{27,576}{1}=\frac{441,216}{x}$

Cross multiply to get:

27576x = 441216 so

x = 16

We did not have to find the cost per acre to solve this. We could have set up the proportion with $551,520 on the top of the ratio and 20 on the bottom and we would still have gotten the same answer. I just figured the numbers wouldn't be as large if we divided to find the cost per unit.

dolphi86 [110]3 years ago

4 0

Answer:

16 acres

Step-by-step explanation:

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8x-5y= 14<br> – 5х+бу = -3

podryga [215]

Answer:

y= 34/23

x= 123/46

Step-by-step explanation:

Solve for x

8x-5y= 14

x= 14/8 +5/8y

Sub x into second equation

– 5х+бу = -3

-5(14/8 +5/8y) + 6y= -3

-29/4 +23/8y = -3

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3 years ago

A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a

Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that $n = 12$

She feels that there is a 30% chance of selling any one property during a week.

This means that $p = 0.3$

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138$

$P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712$

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

Then

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528$

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

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3 years ago

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marta [7]

49 due to divide and multiply steps

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3 years ago

Read 2 more answers

Complete function tables part 2<br><br>please help its the last one pleasee

Annette [7]

Answer:

e=3 d=2

e=7 d=3

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Step-by-step explanation:

all you have to do is solve for the d by substituting the value of e into the equation.

5 0

2 years ago

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 4 oz of chips and drank 1 cup of soda for a to

Inga [223]

Answer:

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the amount of sodium in 1oz of chips.

y is the amount of sodium in 1 cup of soda.

Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.

This means that $4x + y = 600$ , also $y = 600 - 4x$

Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.

This means that:

$x + 4y = 300$

From the first equation, we have that $y = 600 - 4x$ . So

$x + 4(600 - 4x) = 300$

$x + 2400 - 16x = 300$

$15x = 2100$

$x = \frac{2100}{15}$

$x = 140$

$y = 600 - 4x = 600 - 4*140 = 40$

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

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3 years ago