Answer 4 and 5 plzzzzzzzz
2 answers:
You might be interested in
The maximum length of the prism is highest length of the hexagonal prism
The maximum length of each prism is 8.0 cm
<h3>How to determine the maximum length of each prism?</h3>The surface area of the hexagonal prism is calculated using:
A = 6al + 33 a^2
Where:
a represents the edge length; a = 4 cm
l represents the length (or height) of the prism
The surface area costs $0.04 per square centimeter.
So, we have:
C = 0.04 * [6al + 33 a^2]
The maximum cost is $11.
So, the equation becomes
11 = 0.04 * [6al + 33 a^2]
Substitute 4 for a
11 = 0.04 * [6 * 4l + 33 * 4^2]
Evaluate the products and exponents
11 = 0.04 * [24l + 483]
Divide both sides by 0.04
275 = 24l + 483
Subtract 483 from both sides
24l = 275 - 483
Evaluate the difference
24l = 191.9
Divide both sides by 24
l = 8.0
Hence, the maximum length of each prism is 8.0 cm
Read more about surface areas at:
Answer:
The equation to find the profit made by business combined is .
Business A made $2 million profit and Business B made $8 million profit.
Step-by-step explanation:
Given:
Profit made in previous financial year = $10 million
We need to write an equation to find the profit made by the business.
Solution:
Let the profit (in millions) made by business A be 'x'.
Let the profit (in millions) made by business B be 'y'.
Now given:
business B making 4 times as much profit as business A.
so we can say that;
Now we know that;
Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.
framing in equation form we get;
Substituting the value of y in above equation we get;
Hence The equation to find the profit made by business combined is .
On Solving above equation we get;
profit (in millions) made by business A =
profit (in millions) made by business B =
Hence Business A made $2 million profit and Business B made $8 million profit.