When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.

h=10 (the height is 10)

b=h/2 (base is half as long as the height)

We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!

b=10/2

b=5

So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!

10(5)=50

Therefore, the area of the sticker is 50 cm².

I hope that this helps! Have a wonderful day!

7 0

3 years ago

Sydney and Mila go to the movie theater and purchase refreshments for their friends. Sydney spends a total of $28.50 on 9 drinks

iogann1982 [59]

The system of equations that can be used to find the price of one drink and the price of one bag of popcorn is:

9x + 2y = 28.50

5x + 10y = 42.50

The price of a bag of popcorn is $3.00

Step-by-step explanation:

Sydney and Mila go to the movie theater and purchase refreshments for their friends

Sydney spends a total of $28.50 on 9 drinks and 2 bags of popcorn
Mila spends a total of $42.50 on 5 drinks and 10 bags of popcorn

We need to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn and using these equations, to determine and state the price of a bag of popcorn

Assume that the price of each drink is $x and the price of each bag of popcorn is $y

∵ Sydney spends a total of $28.50 on 9 drinks and 2 bags of popcorn

∵ The price of each drink is $x

∵ The price of each bag of popcorn is $y

- Multiply 9 by x and 2 by y, add the products and equate the

sum by 28.50

∴ 9x + 2y = 28.50 ⇒ (1)

∵ Mila spends a total of $42.50 on 5 drinks and 10 bags of popcorn

∵ The price of each drink is $x

∵ The price of each bag of popcorn is $y

- Multiply 5 by x and 10 by y, add the products and equate the

sum by 42.50

∴ 5x + 10y = 42.50 ⇒ (2)

The system of equations that can be used to find the price of one drink and the price of one bag of popcorn is:

9x + 2y = 28.50

5x + 10y = 42.50

Lets solve the system of equations

∵ 9x + 2y = 28.50 ⇒ (1)

∵ 5x + 10y = 42.50 ⇒ (2)

- Multiply equation (1) by -5 to eliminate y

∵ -45x - 10y = -142.50 ⇒ (3)

Add equations (2) and (3)

∴ -40x = -100

- Divide both sides by -40

∴ x = 2.5

Substitute the value of s in equation (1) or (2) to find y

∵ 9(2.5) + 2y = 28.50

∴ 22.5 + 2y = 28.50

- Subtract both sides by 22.5

∴ 2y = 6

- Divide both sides by 2

∴ y = 3

The price of a bag of popcorn is $3.00

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

8 0

4 years ago

Select the correct answer.

NeTakaya

The rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>

<h3>Multiplying rational expressions</h3>

Rational expressions are written in the form a/b where a and b are integers.

According to the question, we need to determine the expression that is equal to x-4/2(x+4)

From the fourth option;

x²-16/2x+8 * x+4/x²+8x+16

Factorize the quadratic part to have;

x²-16/2x+8 * x²+8x+16/x+4

(x+4)(x-4)/2(x+4) * x+4/(x+4)^2

Cancel out the common expression to have;

x-4 * 1/2(x+4)

x-4/2(x+4)

Hence the rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>

Learn more rational expression here: brainly.com/question/25292194

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3 0

1 year ago

What is 9x9x9x9x9x9x9x9x9x9x9

ddd [48]

Answer:

Raise 9 to the power of 11.

$9^{11}$ = 31381059609

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers