<u>Scenario 1</u>
It is given that on Albert's favorite shoe website, the prices for a pair of the shoes range from $80 to $180 and the delivery fee is one-twentieth of the price of the basketball shoes.
We know that Albert has $105 to spend on new basketball shoes.
From the above pieces of information we see that the minimum that Albert will have to spend is 
dollars.
Now, we know that Albert can spend a maximum of $105 including the delivery fee. Let the upper limit of the price of the shoe Albert can buy be 
. So, the upper limit of the domain can be found as:
dollars.
Thus, in the first scenario, the domain of the total cost function, f(c) will be [86.67,96.92].
<u>Scenario 2</u>
After receiving $42 from his friend, Albert's total buying power becomes $147. Albert can now buy a costlier pair of shoes.
Thus, the maximum that Albert can buy is again given by:
Solving this we get: 
dollars
The lower limit will remain the same as the lowest price point in the website is $80. Therefore, in the second scenario the domain is:
[86.67, 135.69]
Answer: The answer is <u>7 1/3</u>
Answer:
23.2%
Step-by-step explanation:
First we need to find how many half lives 135 years is:
135 ÷ 64 = 2.109375
Now we divide 100% by 2 to the power of the number of half lives. This is how you calculate the percentage of the original amount left. If you have the original mass, you can substitute that in instead of 100%:
100 ÷ 
= 23.1747390635
To 1 decimal place it is 23.2%
The acute angles in the triangle are 16.6 degrees and 73.4 degrees
<h3>How to determine the acute angles?</h3>
From the question, we have:
Triangle type = Right triangle
Let the acute angles be x and y.
So, we have:
3/4x = 1/4 + 1/6y
Multiply through by 12
9x = 3+ 2y
The sum of acute angles in a right triangle is
x + y = 90
Rewrite as
y = 90 - x
Substitute y = 90 - x in 9x = 3+ 2y
9x = 3+ 2(90 - x)
Open the brackets
9x = 3+ 180 - 2x
Evaluate the like terms
11x = 183
Divide by 11
x = 183/11 = 16.6
Substitute x = 183/11 in y = 90 - x
y = 90 - 183/11
Evaluate
y = 807/11 = 73.4
Hence, the acute angles in the triangle are 16.6 degrees and 73.4 degrees
Read more about acute angles at
brainly.com/question/347922
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he ordered 6,000 pounds
there are 2,000 pounds in a ton so you multiply 3 times 2,000 which equals 6,000
