Answer:
part A 17/23
part B 31/40
part C 23/40
part D Yes, sorry you gotta figure that out. Im to lazy to write a sentence
Step-by-step explanation:
Break even point is where all the expense is already covered by the revenue. In this case, the expense would be the stand ($75,000) and the lemon+sugar+water ( $1.25 per glass). The revenue comes from lemonade($30/glass). Then the equation would be:
$30 * glass of lemonade= $75,000 + $1.25 * glass of lemonade
($30-$1.25) * glass of lemonade= $75,000
glass of lemonade= 2608.7
We will just do the following steps:-
389 - 40 = 349
349 - 30 = 319
So, in the end your class had 319 milk jugs left.
Hope I helped ya!!
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to
210*0.05= 10.5 g salt
The rest of the amount, determined by difference, is the amount of solvent which is water.
water = 210-10.5 = 199.5 g salt
To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant.
Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
Answer:
C. x² − 8x + 24 − 72/(x+3)
Step-by-step explanation:
See attached picture for long division method.
Logically, we know x³ − 5x² factors to x² (x − 5). Since x + 3 isn't a factor, we know the remainder isn't 0. So we can narrow the options down to A or C.
One way to find the remainder is through long division. Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².
(x + 3) (x² − 8x + 24 − 72/(x+3))
(x + 3) (x² − 8x + 24) − 72
x³ − 8x² + 24x + 3x² − 24x + 72 − 72
x³ − 5x²
