All categories

3 years ago

WILL MARK BRAINLIEST + 50 POINTS

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

Answer:

The dimensions are 25 * 50 feet.

Step-by-step explanation:

The 3 sides of the pen will measure (2x + y) feet where x is the width and y is the length.

2x + y = 100

y = 100 - 2x

The area A = xy = x(100 - 2x) ft^2.

Finding the maximum area.

A = x(100 - 2x)

A = 100x - 2x^2 Finding the derivative:

A' = 100 - 4x

For maximum value of A this equals zero:

100 - 4x = 0

4x = 100

x = 25 ft, so this is the width.

The length is 100 - 2(25) = 50 ft.

You might be interested in

Which line of best fit accurately represents the given scatter plot?

Fofino [41]

The third one down
Because the best line of fit is a line that goes between the plotted points and it HAS to be a straight line and most of the points close to the line

8 0

2 years ago

Find the perimeter of a pentagon that has 3 sides of length (2x +5) and 2 sides of length (x - 2)

blsea [12.9K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Consider the equation y=-2x+5. Describe everything you know about this graph compared to the parent linear function y=x.

Mekhanik [1.2K]

Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2

function y = x
slope of 1
y intercept at 0
x intercept at 0

8 0

3 years ago

sweety's ice cream shop sells ice cream by weight. they charge $6.95 per pound. if your dish of ice cream weighs 0.42 pounds, ho

AlekseyPX

The answer is 29.19
enjoy brainy
homepage10

3 0

4 years ago

When a store had Sold 2/5 of the shirts that were on display, they brought out another 30 from the stockroom. The store likes to

Inga [223]

Answer:

Part A) 3/5 is the total number of shirts remaining on display after selling 2/5

Part B) $x \geq 200$ (All real whole numbers greater than or equal to 200 shirts)

Part C) Initially on display were the amount of 200 or more shirts

Step-by-step explanation:

Let

x-------> total number of shirts on display

we know that

The inequality that represent the situation is

$(1-\frac{2}{5})x+30 \geq 150$

$(\frac{3}{5})x+30 \geq 150$

Part A) Explain what 3/5 means in the inequality

3/5 is the total number of shirts remaining on display after selling 2/5

Part B) Solve the inequality

we have

$(\frac{3}{5})x+30 \geq 150$

Subtract 30 both sides

$(\frac{3}{5})x \geq 150-30$

$(\frac{3}{5})x \geq 120$

Multiply by 5/3 both sides

$x \geq 120(5/3)$

$x \geq 200\ shirts\ on\ display$

Part C) Explain what the solution means in the situation

1) Initially on display were the amount of 200 or more shirts

2) 2/5 were sold and 120 or more shirts were left on display.

3) The store brought out another 30 shirts from the stockroom and placed them on display, for a total of 150 shirts or more on display

8 0

3 years ago