Answer:
The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ
Step-by-step explanation:
The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.
The formula for the energy required to melt the ice is presented as follows;
Energy required = Mass, m × Latent heat of fusion, 
, of ice
Hence, the mass, m, of the ice = 15,000 g
Latent heat of fusion, , of ice = 333 J/g
Therefore;
Energy required = 15,000 g × 333 J/g = 4995000 J
Hence;
The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J
1000 J = 1 kJ
1 J = 1/1000 kJ
Therefore, 4995000 J = (4995000 J)/(1000 J/kJ) = 4995 kJ.
Which gives;
The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.
The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:
16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544
Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:
15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X
Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Answer:
The answer is 9 or 8 because they both are on the same fx
E. Each ticket costs $15 and Gina has to buy 5 tickets for her and her friends. $w is the total cost of 5 tickets that cost $15 each.
