Tutors Answer Your Questions about Linear-equations (FREE)
Question 119686: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Thanks
Click here to see answer by josmiceli(19441)   |
Question 119678: Solve the system by graphing
x+y=4
-x+y=2
Solve the system graphing
x-2y=8
x+y=-1
A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders requare that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 119730: Break-Even Analysis To produce x units of a religious
medal costs C(x)=12x+30. The revenue is R(x)=25x.
Both C(x)and R(x)are in dollars.
a. Find the break-even quantity.
b. Find the profit from 250 units.
c. Find the number of units that must be produced for a
profit of $130.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 119731: Body Temperature You may have heard that the average
temperature of the human body is 98.6 degrees. Recent experiments
show that the actual figure is closer to 98.2 degrees.† The
figure of 98.6 comes from experiments done by Carl Wunderlich
in 1868. But Wunderlich measured the temperatures
in degrees Celsius and rounded the average to the
nearest degree, giving 37 degree C as the average temperature.‡
a. What is the Fahrenheit equivalent of 37 degree C?
b. Given that Wunderlich rounded to the nearest degree
Celsius, his experiments tell us that the actual average
human body temperature is somewhere between 36.5 degree C
and 37.5 degree C. Find what this range corresponds to in
degrees Fahrenheit.
Click here to see answer by bucky(2189) |
Question 119742: 1) Solve the following system of linear inequalities by graphing.
3x – y < 2
x + y > 2
2) A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities.
3) A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities.
4) A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 119897: Business and finance. Two years after an expansion, a company had sales of
$42,000. Four years later the sales were $102,000. Assuming that the sales in dollars S and the time in years t are related by a linear equation, find the equation relating S and t.
Click here to see answer by checkley71(8403) |
Question 119915: Production Turley Tailor Inc. makes long-sleeve, shortsleeve,
and sleeveless blouses. A long-sleeve blouse
requires 1.5 hours of cutting and 1.2 hours of sewing. A
short-sleeve blouse requires 1 hour of cutting and .9 hour of
sewing. A sleeveless blouse requires .5 hour of cutting
and .6 hour of sewing. There are 380 hours of labor available
in the cutting department each day and 330 hours in
the sewing department. If the plant is to run at full capacity,
how many of each type of blouse should be made each day?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 119726: Life Span Some scientists believe there is a limit to how
long humans can live.* One supporting argument is that
during the last century, life expectancy from age 65 has
increased more slowly than life expectancy from birth, so
eventually these two will be equal, at which point, according
to these scientists, life expectancy should increase no
further. In 1900, life expectancy at birth was 46 yr, and life
expectancy at age 65 was 76. In 2000, these figures had
risen to 76.9 and 82.9, respectively. In both cases, the
increase in life expectancy has been linear. Using these
assumptions and the data given, find the maximum life
expectancy for humans.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 120009: Find an Equation for the least square line of the data below. Use the equation to predict the x-value that corresponds to a y -value of 7
X:8 4 1 5 4 4 9 8 5 2 7 1 6 3 2 4
Y:7 6 2 5 6 4 8 8 6 3 8 3 6 4 1 3
I have graphed the line but i dont know how i am supose to get the equation for the line
Click here to see answer by stanbon(75887) |
Question 119921: Transportation An electronics company produces three models of stereo speakers, models A, B, and C, and can deliver them by truck, van, or station wagon. A truck holds 2 boxes of model A, 2 of model B, and 3 of model C. A van holds 3 boxes of model A, 4 boxes of model B, and 2 boxes of model C. A station wagon holds 3 boxes of model A, 5 boxes of model B, and 1 box of model C.
a. If 25 boxes of model A, 33 boxes of model B, and 22 boxes of model C are to be delivered, how many vehicles of each type should be used so that all operate at fullcapacity?
b. Model C has been discontinued. If 25 boxes of model A and 33 boxes of model B are to be delivered, how many vehicles of each type should be used so that all operate at
full capacity?
Click here to see answer by ankor@dixie-net.com(22740) |
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