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3 years ago

13

A rancher has 300 feet of fencing to enclose a pasture bordered on one side by a river. the river side of the pasture needs no f

ence. find the dimensions of the pasture that will produce a pasture with a maximum area.

1 answer:

Mashcka [7]3 years ago

8 0

I think your best answer is a pasture that is 75 feet by 150 feet, which will give you 11,250 sq ft of pasture

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On every sale he makes, Bill earns a commission. On a bed he sells for $591, Bill earns a $43 commission. Find the percent commi

user100 [1]

The percent of commission is 7.3% to the nearest tenth of a percent

Step-by-step explanation:

The given is:

Bill earns a commission on every sale he makes
He sells a bed for $591 and earns a $43 commission

We need to find the percent commission

To find the percent of commission divide the commission by the selling price and multiply the answer by 100%

∵ His commission is $43

∵ The selling price is $591

∵ The percent of commission = $\frac{commission}{selling price}$ × 100%

∴ The percent of commission = $\frac{43}{591}$ × 100%

∴ The percent of commission = 7.2758%

- Rounded it to the nearest tenth percent

∴ The percent of commission = 7.3%

The percent of commission is 7.3% to the nearest tenth of a percent

Learn ore:

You can learn more about the percent in brainly.com/question/6871421

#LearnwithBrainly

5 0

3 years ago

In a certain soccer tournament you play 6 games. In every match you get 3 points if you win, 1 point for a draw and 0 points if

Ann [662]

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

5 0

3 years ago

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

a_sh-v [17]

Answer:

i. When the temperature is above $616.712^{o}$ F, it changes to gas.

ii. When the temperature is below $-33.052^{o}$ F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = $\frac{9}{5}$ θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = $-36.14^{o}$ C

⇒ F = $\frac{9}{5}$ x $-36.14^{o}$ + 32

= $-33.052^{o}$ F

The boiling point = $324.84^{o}$ C

F = $\frac{9}{5}$ x $324.84^{o}$ + 32

= $616.712^{o}$ F

The melting point of the substance is $-33.052^{o}$ F, and boiling point is $616.712^{o}$ F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above $616.712^{o}$ F, it changes to gas.

ii. When the temperature is below $-33.052^{o}$ F, it changes to solid.

3 0

3 years ago

Simplify: 2x + 9 - 17x - 15 -x

Ostrovityanka [42]

Answer:

1

Step-by-step explanation:

2x + 9 - 17x - 15 - x =????

2x - 17x - x + 9 - 15 = 0

- 15x - x - 16 = 0

- 16x - 16 =0

-16x = 16

x = 16 / - 16

x = 1

6 0

3 years ago

What is the squared root of 1,000,0000ypt612y

bearhunter [10]

Its 1000 hope it helps

5 0

3 years ago