Tutors Answer Your Questions about Linear Algebra (FREE)
Question 139993: a highschool counselor was interested in how many students are planning to volunteer for military servie after graduation. she randomly selectred and questioned 50 students and 15 answered that they planned to enlist after graduating. using statistical techniques, she found that she could predict the percentage P of students that would enlist in military service after graduation. her computations resulted in the inequality.
(the p and - 30 are in absolute value form)
{{P-30is less than or equal to 12.3}}}
determine the range for the percent of students who plan to enlist in the military services after grad. if 580 seniors graduate from this school, what is the range for the number of graduates planning to enlist?
Click here to see answer by stanbon(75887)  |
Question 139998: solve each absolute value equation or inequality analytically using a distance statement
report your solution using equality or inequality notation.
a. (w and 10 are in absolute value form)
b. (x and 2.3 are in absolute value form)
c. (x and 1005 are in absolute value form)
d. (R and 5 are in absolute value form)
e.
(0.25w and 1.75 are in absolute value form)
f. (x and 3are in absolute value form)
Click here to see answer by stanbon(75887) |
Question 139994: an airplane manufacturer is producing a ball bearing whose diameter is to measure 1.7500 inches. the manufacturing process is required to be extremely accurate. the tolerance allowed on the ball bearing is one ten-thousanth of an inch.
a. on a number line, graph the range of acceptable diameters for the ball bearing.
b.write a compound inequality for the range of acceptable diameters for the ball bearing.
c.write an absolute value inequality for the range of acceptable diameters for the ball bearing
d.write and absolute value inequality for the range of diameters of ball bearings that are rejected by the manufacturer.
if u cant show me the number line one is okay. i could probably figure that one out but it would be nice to be shown how to do all a-d =] thank u.
Click here to see answer by stanbon(75887) |
Question 140426: The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets.
c. If b represents a fixed cost, what value would represent b?$300
d. Find the cost equation for the tile. Write your answer in the form C = mx + b.
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation.
f. What is the profit made from selling 20 tile sets per month?
g. What is the profit made from selling 25 tile sets each month?
h. What is the profit made from selling no tile sets each month? Interpret your answer.
i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.
j. How much profit would you earn from the number you found in part i?
k. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from part a)?
Click here to see answer by stanbon(75887) |
Question 140778: a two-digit number is equal to 3 times the sum of its digits.if the number obtained by reversing the digits is divided by the original number, the quotient is 2 and the remainder is 1. Find the original number
Click here to see answer by stanbon(75887) |
Question 141323: the original problem was 4x-1=3x+15, I was told that my answer was algebraically correct but not graphically correct(The answer I got was x=16). I should look at it like y=4x-1 and y=3x+15. I don't understand where this came from or how to do this because if the equations are equal how will the intercept will they not be parallel lines?
Click here to see answer by stanbon(75887) |
Question 143033: Well, I'm stuck on this one, I'm not even sure I know where to start. I can find all sorts of examples of the formula to practice with but they all involve whole numbers rather than the fraction and that is what is messing me up. The question wants me to determine what either x or y would be given the other and then what (x,y) would be. I'm lost. Thanks for any help you can provide
Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation
y = -1/2x-4
Complete the table for this equation.
if x = -2 then y = (what) and(x,y)= (what)
if x = (what) then y= -4 and (x,y)= (what)
if x = 2 then y = (what) and(x,y)= (what)
if x = 8 then y = (what) and(x,y)= (what)
Click here to see answer by stanbon(75887) |
Question 144057: The fifth number plus the third number equals fourteen.
The fourth number is one more than the second number.
The first number is one less than twice the second number.
The second number plus the third number equals ten.
The sum of all five numbers is 30.
Click here to see answer by edjones(8007)  |
Question 144279: How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality? Write an inequality and provide a value that may or may not be a solution to the inequality.
Click here to see answer by solver91311(24713)  |
Question 144527: Lost again, this one seems like it is not even in the book for how to solve it. Any help would be appreciated.
In 1920, the record for a certain race was 45.4 sec. In 1960, it was 44.6. Let R(t)= the record in the race and t= the number of years since 1920.
a) Find a linear frunction that fits the data.
b) Use the function in (a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 43.6 sec.
Click here to see answer by stanbon(75887) |
Question 144413: indicate the solution set of the inequality.
75. x-6/x+4 is greater than or equal to 0. I divided both sides by x+4 and I only got part of the answer. How do you get both parts? Please show me the steps.
Click here to see answer by edjones(8007) |
Question 145904: z=2x+4y
x>=0, y>=0 Linear programming problem, graphing a solution, and maximum.
x+3y>=6
x+y>=3
x+y<=9
I come up with serveral vertices. Even when using the example. I know how to put the vertices back into the equations, but I need to figure out how to limit or pick the correct vertices; (0,0), (0,2), (6,0), (0,3), (3,0), (5,4), (6,3), (0,9) My graphe looks like a octagon kind of including 0. I am missing something and trying desperately to understand this. Can someone show me how I conclude which vertices are correct?
Heidi
Click here to see answer by scott8148(6628)  |
Question 145904: z=2x+4y
x>=0, y>=0 Linear programming problem, graphing a solution, and maximum.
x+3y>=6
x+y>=3
x+y<=9
I come up with serveral vertices. Even when using the example. I know how to put the vertices back into the equations, but I need to figure out how to limit or pick the correct vertices; (0,0), (0,2), (6,0), (0,3), (3,0), (5,4), (6,3), (0,9) My graphe looks like a octagon kind of including 0. I am missing something and trying desperately to understand this. Can someone show me how I conclude which vertices are correct?
Heidi
Click here to see answer by stanbon(75887) |
Question 146198: hello please help me on this question i dont understand how to figure it out.
the total area of a rectangle is 4x-9y ( please note there is a little four ontop of the x but sence i do not know how to type that on the computer im sorry)which factors could represent the length times width? THANK YOU
Click here to see answer by jim_thompson5910(35256) |
Question 146207: ok here i have some pre-cal ...extremely confusing! please lend help!
If the average of three numbers is V.If one of the numbers is Z and another is Y, What is the remaining number? i think its ZY-V but im not sure..
thank youu!!!
Click here to see answer by ptaylor(2198)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760
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