Answer:
The answer will be 7(2x - 1)
Step-by-step explanation:
1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

2) Simplify 7 × 2 to 14 .

3) Simplify 14 + 1 to 15.

4) Collect like terms.

5) simplify.

6) Factor out the common term 7.

Therefor, the answer is 7( 2x - 1 ).
She has 144-100=44. 44-4=40. Medium holds to beads you will need 4 medium boxes.
Answer:
78%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100
% increase= 35.8/46 *100= 77.82=78 %
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: a. True
Step-by-step explanation: