a football is selling for 35% off the original price. the original price was $60. what is the sale price of the football.

The length of a rectangular snow fort is 7 feet and the width of a rectangular snow fort is 5 feet.

Given that, Chris Built a rectangular snow fort with a perimeter of 24 feet.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let x be the length of a rectangular snow fort and y be the width of a rectangular snow fort.

The length of the fort was 8 feet less than 3 times the width.

y=3x-8

Now, 2(y+x)=24

⇒ 3x-8+x=12

⇒ 4x=20

⇒ x=5

So, y=3x-8=7

Therefore, the length of a rectangular snow fort is 7 feet and the width of a rectangular snow fort is 5 feet.

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Answer:

Step-by-step explanation:

First, let's convert 6 feet 3 inches to just inches. Because there are 12 inches in 1 foot, we can say that there are 72 inches in 6 feet. Combined with the other 3 inches, we can say that Marco is a 75 inches tall.

Now, we can multiply the number of inches we found by 2.54 to get Marco's height in centimeters. This gives us 190.5 cm.

Answer:

192 cm

Step-by-step explanation:

The value of f^-1(3) is 4

What are inverse functions?

The inverse of a function f(x) is the opposite of the function

How to determine the inverse function?

The functionf(x)is given as:

Express f(x) as y

Swap the positionsof x and y

Express as exponents

Make y the subject

Express the equationsas an inverse function

Substitute 3 for x in the above equation

Evaluate

Hence, the value of f^-1(3) is 4

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Answer:

To multiply the expressions (3x + 2y + 1) and (2x - 3y - 5) vertically, we will use the distributive property and multiply each term from the first expression with each term from the second expression.

Starting with the first term in the first expression, which is 3x, we multiply it with each term in the second expression:

(3x) * (2x) = 6x^2

(3x) * (-3y) = -9xy

(3x) * (-5) = -15x

Next, we move to the second term in the first expression, which is 2y:

(2y) * (2x) = 4xy

(2y) * (-3y) = -6y^2

(2y) * (-5) = -10y

Finally, we multiply the last term in the first expression, which is 1, with each term in the second expression:

(1) * (2x) = 2x

(1) * (-3y) = -3y

(1) * (-5) = -5

Now, let's add up all the results:

6x^2 - 9xy - 15x + 4xy - 6y^2 - 10y + 2x - 3y - 5

Simplifying this expression further, we have:

6x^2 - 5x - 6y^2 - 7xy - 13y - 5

Answer:

To multiply the expressions (3x+2y+1) and (2x-3y-5) vertically, you can use the distributive property and follow these steps:

1. Start by multiplying the first term in the first expression, 3x, by each term in the second expression:

- (3x) * (2x) = 6x^2

- (3x) * (-3y) = -9xy

- (3x) * (-5) = -15x

2. Move on to the second term in the first expression, 2y:

- (2y) * (2x) = 4xy

- (2y) * (-3y) = -6y^2

- (2y) * (-5) = -10y

3. Finally, multiply the last term in the first expression, 1, by each term in the second expression:

- (1) * (2x) = 2x

- (1) * (-3y) = -3y

- (1) * (-5) = -5

Now, let's combine the like terms:

6x^2 + (-9xy) + (-15x) + 4xy + (-6y^2) + (-10y) + 2x + (-3y) + (-5)

Simplifying this expression further, we have:

6x^2 - 5x - 9xy + 4xy - 6y^2 - 10y + 2x - 3y - 5

Therefore, the result of multiplying (3x+2y+1) and (2x-3y-5) vertically is 6x^2 - 5x - 9xy + 4xy - 6y^2 - 10y + 2x - 3y - 5.

Step-by-step explanation: