1. Convert the mixed fractions to a decimal.
2 1/4 is 2.25
1 2/4 is 1.5
2. Add them up.
3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
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.
This number is three billion, five hundred fifty-two million, three hundred eight thousand, seven hundred twenty-five.
The second 5 (from the left) is in the ten millions place. It has a value of 50,000,000.
Answer:
17.11%
Step-by-step explanation:
since 43.2 months is the mean, and the standard deviation is 7.7 months
that means if we take the z score:
z=(36-43.2)/7.7
now that we know how many standard deviations you are away from the mean: -0.9351
using the zscore table you can find the proportion, or you can use the calculator if you have one that can do that.
you get 0.1711 which in percentages is 17.11%
a) find the slope of the line using the given points.
Slope: 9 - -3/6-0 then slope is 12/6 which is 2
Then using formula: y = mx+b
-3 = 2(0) + b
b = -3
The equation is: y = 2x -3
B. Slope of a perpendicular is -reciprocal of first line. So here the slope will be -1/2
y = mx + b is used again
2 = -1/2(0) + b
b = 2
The equation is: y = -1/2x +2
