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Tresset [83]
3 years ago
15

Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packi

ng materials plus an additional $0.18 per ounce.
a. Define your variables:


b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).


c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.


d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

The answer is Y=8.5+0.18x

Step-by-step explanation:

Given data

Let the flat fee be $8.5

Let the additional fee per ounce be $0.18

Let the total amount to mail the package be y

Therefore the total amount is

Y=8.5+0.18x

The function is Y=8.5+0.18x

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raj has 16 cups of flour he uses 3 1/2 cups to make bread and 4 3/4 cups to make muffins how many coups of flour does raj have l
DiKsa [7]

Answer:

31/4 cups of flour have left.

Step-by-step explanation:

3 1/2=7/2

4 3/4=19/4

--------------

16-7/2-19/4

64/4-14/4-19/4

31/4

6 0
3 years ago
Read 2 more answers
I need the answers and the work plsss help
Ilya [14]

The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.

Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12 1/2 feet.

The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.

Step 2:

The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.

The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.

The total area of the room = 125 + 22.5 = 147.5 square feet.

3 0
2 years ago
Read 2 more answers
Hey:) can you please help me posted picture of question
trasher [3.6K]
Answer:
32x² + 36x + 9

Explanation:
To answer the question, we will simply multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.

This can be done as follows:
(8x + 3)(4x + 3)
8x(4x) + 8x(3) + 3(4x) + 3(3)
32x² + 24x + 12x + 9
32x² + 36x + 9

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Please help my teacher has been waiting for 30 full mniutes
anyanavicka [17]

Answer:

404.990 in^2

Step-by-step explanation:

I think, I cant be 100% sure but I'm pretty sure that's the answer, sorry if I'm wrong

3 0
2 years ago
Given f(x) = x² - 10x + 22, what is the range of f?
adoni [48]

Answer:

[-3, ∞)

Step-by-step explanation:

There are many ways to find the range but I will use the method I find the easiest.

First, find the derivative of the function.

f(x) = x² - 10x + 22

f'(x) = 2x - 10

Once you find the derivative, set the derivative equal to 0.

2x - 10 = 0

Solve for x.

2x = 10

x = 5

Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.

f(x) = x² - 10x + 22

f(5) = 5² - 10(5) + 22

      = 25 - 50 +22

      = -3

Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.

This means the range is : [-3, ∞)

Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).

Hope this helped!

6 0
3 years ago
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