Answer:
A(x) = -2X² + 600X
Step-by-step explanation:
Area = X · Y
Perimeter = 2X + Y = 600
Y = 600 - 2X
A(x) = X · (600 - 2X) = 600X - 2X²
A(x) = -2X² + 600X
if you want to maximize area:
A'(x) = -4X + 600 = 0
600 = 4X
X = 150
Y = 600 - (2 · 150) = 600 - 300 = 300
Area = 150 · 300 = 45,000 ft²
Answer:
8h > 154.
Step-by-step explanation:
Samantha makes $8 an hour, meaning that the total amount she makes is dependent on the amount of hours she works.
The MP3 player that she wants to purchase is $154, meaning that she will have to get at least $154 or more.
Technically, this means that your answer is:
8h ≥ 154, but because this is not a answer choice, A) 8h > 154 is your best answer, as the amount that she works (in which she is paid $8 each hour), needs to be greater then the amount she needs to purchase the MP3.
~
Answer:
A
Step-by-step explanation:
Let's set hours as h.
We know that she earns 5 dollars an hour. If, for example, she worked 2 hours, she would have earned 2*5=10 dollars. This is 5h.
Next, we know that she got 186 dollars in tips. Tips means that she earned extra money, so therefore, the equation is 5h+186, or A
Answer:
Yes, it is possible to make a topless box with a volume of 6080 cm3 out of this cardboard sheet.
The dimensions of the cardboard sheet are 54 cm x 36 cm
Step-by-step explanation:
Let
x ----> the length of the cardboard sheet
y ----> the width of the cardboard sheet
we know that
----> equation A
The volume of the topless box is
where
substitute
----> equation B
substitute equation A in equation B
Solve for y
Solve the quadratic equation by graphing
The solution is y=36 cm
see the attached figure
Find the value of x
---->
therefore
Yes, it is possible to make a topless box with a volume of 6080 cm3 out of this cardboard sheet.
The dimensions of the cardboard sheet are 54 cm x 36 cm
Answer:
1/6, now can you answer my question
Step-by-step explanation: