Answer:
C. m+n/2
Step-by-step explanation:
Factor out the 3 in the numerator and apply the difference of squares, factor out the 6 in the denominator, and reduce where applicable. It'll all cone out to look like option C.
Answer:
43%
Step-by-step explanation:
Last month, 72.
This month, 126.
Last month, ebony had 72/126 in her account to what she has this month. 72/126 as a percentage.
Ratio:
72:126
X100
7,200:12,600
÷126
57.142:100
Ebony had approximately 57% of her cash in her account last month, compared to this month.
Answer:
60°
please look into the solution down here.
Step-by-step explanation:
since BD bisects it, then the angles should be bisected symmetrically, or in other words, ANGLE ABD = angle DBC,
hence,
4x = 2x +30
2x = 30
x = 15
therefore, angle DBC = 2x + 30 = 2(15) + 30 = 60°.
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
