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Minchanka [31]
2 years ago
11

What is the area of a rectangle whose length is (2x-1) cm and whose width is (X+2) cm?help.​

Mathematics
1 answer:
Bezzdna [24]2 years ago
7 0

Answer:

<em>2</em><em>x</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>2</em>

Step-by-step explanation:

=> <em> </em><em>area</em><em> of</em><em> </em><em>rectangle</em><em> </em><em>=</em><em> </em><em>length</em><em>*</em><em>width</em>

<em> </em><em> </em><em>=</em><em>></em><em> </em><em>length</em><em> </em><em>=</em><em> </em><em>(</em><em>2</em><em>x</em><em> </em><em>-</em><em>1</em><em>)</em>

<em>=</em><em>></em><em> </em><em>width</em><em> </em><em>=</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>2</em><em>)</em>

<em>=</em><em>></em><em> </em><em>area </em><em>=</em><em> </em><em>(</em><em>2</em><em>x</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>2</em><em>)</em>

<em>=</em><em>></em><em> </em><em>area=</em><em> </em><em> </em><em>2</em><em>x</em><em>(</em><em>x </em><em>+</em><em> </em><em>2</em><em>)</em><em> </em><em>-</em><em> </em><em>1</em><em>(</em><em>x </em><em>+</em><em> </em><em>2</em><em>)</em>

<em>=</em><em>></em><em> </em><em>area</em><em> </em><em>=</em><em> </em><em>2</em><em>x</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>4</em><em>x</em><em> </em><em>-</em><em> </em><em>1</em><em>x</em><em> </em><em>-</em><em> </em><em>2</em>

<em>=</em><em>></em><em> </em><em>area </em><em>=</em><em> </em><em>2</em><em>x</em><em>^</em><em>2</em><em> </em><em>+</em><em> </em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>2</em>

<em> </em>

<em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>

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Your class has 26 students, which represents 5% of your school's enrollment. Your friend uses the proportion 5/100 =n/26 to find
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26 is a part of the whole. the proportion should be set up:

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Please help me out! I keep getting the wrong answer
Tamiku [17]

The total amount of people who ordered a large is 5 + 12 + 8 = 25 people.

The amount of customers who bought a large cold drink is 5.

The probability that someone bought a large cold drink is 5 out of 25 people.

This is 5/25 which is 1/5 which is .2

Convert the decimal to a fraction by multiplying by 100 and adding a percent sign at the end.

.2 x 100 = 20%

Edit:

The probability was supposed to be if the customer ordered a cold drink based on people who ordered large.

The amount of people who ordered a large drink is 22 + 5 = 27.

The amount of people who ordered a cold large is 5.

To find the percent, divide the people who ordered cold large by the total people who ordered large.

This would be 5/27 which in decimal form is .185185

To convert to a percent, multiply by 100 and add a percent sign after it.

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The question says to round to the nearest percent so your answer is:

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6 0
3 years ago
A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
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Solution :

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Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

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Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

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∴   $x=\frac{450}{264}=\frac{75}{44}$

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So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
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