Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
Answer:
The correct answer is 25.2 in.
Step-by-step explanation:
It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.
2 inches of the ribbon are frayed so actual length = 58 inches
Please refer to the attached image for the ribbon.
A is at 0
C is at 60
B is at 2
P is the point to divide the remaining ribbon in the ratio 2:3.
Part AB of the ribbon is frayed.
BP: PC = 2:3
Let BP = 2
and PC = 3
Now, BP + PC = BC = 58 = 2 + 3 = 5
So,
BP = 
Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>
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Alternatively, we can use the formula directly:
m: n is the ratio 2:3
(2x) + 11 < 44
x is multiplied by two because we are looking for twice of x. 11 is added to the 2x because we are looking for eleven more than the sum of twice of x. Since 2x + 11 is less than 44, we use the lesser than ( < ) symbol.
Answer:
21. C
22. D I got 263.89
23. I'm not sure about this one
24. C
25. D
Step-by-step explanation:
I hope the ones i answered were correct if not i am sorry
Answer:
1) If sum of the two smaller sides of a triangle is greater than the third longer side, then its a triangle.
<h3>In our case, 20 + 23 > 41. Hence its a triangle .</h3>
Use the side lengths to classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides
2) Square root of sum of the squares of the two smaller sides is equal to the third longer side, then its a right triangle.
In our case,
√20^2+23^2≈30.4795<41.
<h3>Hence not a right triangle.</h3>
Since the sum of the squares of the two shorter sides is < the square of the longer side, its an obtuse angle triange
Step-by-step explanation:
Hope it is helpful....
