Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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Question 1151684: You are moving and need a rental truck. The rental company you have chosen charges a $70/day fee plus $0.20 for every mile you travel. Write a linear equation that expresses the total cost y, where x represents the number of miles you travel. Graph this equation.
answer::: y = 0.20x + 70
need help graphing please!

Click here to see answer by MathLover1(20849) About Me 

Question 1151864: Find the equation for the line 𝐿
(graphed in red) in the figure below. Note the 𝑥
-coordinate of the point 𝑄 is 2, 𝑦
-coordinate of the point 𝑃 is 11, and the parabola (graphed in blue) has equation 𝑦=𝑥2+3
https://imgur.com/1y8CdYq

Click here to see answer by josgarithmetic(39616) About Me 

Question 1151971: One safe investment pays 7​% per​ year, and a more risky investment pays 14​% per year.
a. How much must be invested in each account if an investor of ​$100,000 would like a return of ​$9,100 per​ year?
b. Why might the investor use two accounts rather than put all the money in the 14​% ​investment?
a. $__ is invested in the 7% account.

Click here to see answer by Theo(13342) About Me 
Question 1151971: One safe investment pays 7​% per​ year, and a more risky investment pays 14​% per year.
a. How much must be invested in each account if an investor of ​$100,000 would like a return of ​$9,100 per​ year?
b. Why might the investor use two accounts rather than put all the money in the 14​% ​investment?
a. $__ is invested in the 7% account.

Click here to see answer by MathLover1(20849) About Me 
Question 1151971: One safe investment pays 7​% per​ year, and a more risky investment pays 14​% per year.
a. How much must be invested in each account if an investor of ​$100,000 would like a return of ​$9,100 per​ year?
b. Why might the investor use two accounts rather than put all the money in the 14​% ​investment?
a. $__ is invested in the 7% account.

Click here to see answer by greenestamps(13198) About Me 

Question 1152131: Simplify: +%28%28U%2BW%29%5E2+-V%5E2%29+%2F+%28%28V%2BW%29%5E2-U%5E2%29+
Click here to see answer by MathLover1(20849) About Me 

Question 1152130: +%28%28U%2BW%29%5E2+-V%5E2%29+%2F+%28%28V%2BW%29%5E2-U%5E2%29+
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Question 1152135: Simplify +%28a%28b%2Bc%29+%2B+%28b%2Bc%29%5E2%29%2F%28b%5E2-c%5E2+%2B+ab-ac%29+
Click here to see answer by math_helper(2461) About Me 
Question 1152135: Simplify +%28a%28b%2Bc%29+%2B+%28b%2Bc%29%5E2%29%2F%28b%5E2-c%5E2+%2B+ab-ac%29+
Click here to see answer by MathLover1(20849) About Me 

Question 1152257: Simplify +%284m-9n%29%2F%2816m%5E2%29-%289n%5E2%2B1%29%2F%284m-3n%29+
Click here to see answer by MathLover1(20849) About Me 

Question 1152414: Suppose the system AX = B is consistent and A is a 6x3
matrix. Suppose the maximum number of linearly independent
rows in A is 3. Discuss: Is the solution of the system unique?

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Question 1152429: one number is 10 less than three times another. Their sum is 14. What are the two number.
Click here to see answer by MathLover1(20849) About Me 

Question 1152474: if the graph of y=x^2 moves two units left and 4 units upward,then what is the equation of the curve in its final position
Click here to see answer by math_helper(2461) About Me 

Question 1152735: determine the polynomial whoes graph passes through the points (2,4),(3,4),(4,4)
Click here to see answer by MathLover1(20849) About Me 
Question 1152735: determine the polynomial whoes graph passes through the points (2,4),(3,4),(4,4)
Click here to see answer by Alan3354(69443) About Me 
Question 1152735: determine the polynomial whoes graph passes through the points (2,4),(3,4),(4,4)
Click here to see answer by greenestamps(13198) About Me 

Question 1152888: The number 100 is separated into two parts such that if 1/3 of one part is subtracted from 1/4 of the other, the difference is 18. Find the two parts.
Click here to see answer by ikleyn(52775) About Me 

Question 1152889: A courier who goes at the rate of 4.5mi./h is followed, after 6.0h, by another who goes at the rate of 5.5mi./h. In how many hours will the second overtake the first x?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1153170: When the charity collected all of its tin cans from convenient stores, they contained 80% more pennies than nickels. If the combined value of the pennies and nickels was $22.10, how many nickels did the tin cans contain?
Click here to see answer by greenestamps(13198) About Me 

Question 1154023: Kim is starting a business tutoring students in math. She rents an office for 400$ per month and charge 40$ per hour per student.
write an equation to represent the total profit kim makes each week.
If kim has 15 students for one hour per week how much profit does she make in 1 week?
How many students per week would kim have to tutor for 1 hour in order to make 800$ per week?

Click here to see answer by ramkikk66(644) About Me 

Question 1154283: Find the sum of a 10-term geometric sequence when the first term is 3 and the last term is 59,049 and select the correct answer below.
options are:
A) 177,147
B) 88,572
C) 88,575
D) 177,144
please include explanations!!

Click here to see answer by josgarithmetic(39616) About Me 
Question 1154283: Find the sum of a 10-term geometric sequence when the first term is 3 and the last term is 59,049 and select the correct answer below.
options are:
A) 177,147
B) 88,572
C) 88,575
D) 177,144
please include explanations!!

Click here to see answer by MathTherapy(10551) About Me 

Question 1154282: Find the sum of the geometric sequence −3, 15, −75, 375, … when there are 7 terms and select the correct answer below.
the options are:
A) -39,063
B) 39,063
C) 58,593
D) -58,593
if you can, please include a thorough explanation!!! thanks!

Click here to see answer by MathLover1(20849) About Me 
Question 1154282: Find the sum of the geometric sequence −3, 15, −75, 375, … when there are 7 terms and select the correct answer below.
the options are:
A) -39,063
B) 39,063
C) 58,593
D) -58,593
if you can, please include a thorough explanation!!! thanks!

Click here to see answer by MathTherapy(10551) About Me 

Question 1154636: It takes a man 5 hours to wash and wax the family car. If his teenage son helps him, it only takes 1 hour. How long would it take the son, working alone, to wash and wax the car?
Click here to see answer by josgarithmetic(39616) About Me 

Question 1154640: In 9 minutes, a conveyor belt can move 1,000 bushels of corn into a storage bin. A smaller belt can move 1,000 bushels to the storage bin in 13 minutes. If both belts are used, how long will it take to move 1,000 bushels to the storage bin?
Click here to see answer by josgarithmetic(39616) About Me 

Question 1154639: Two trains made the same 360-mile run. Since one train traveled 15 mph faster than the other, it arrived 4 hours earlier. Find the speed of each train.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1154641: An empty freight train traveled 60 miles from an auto assembly plant to an oil refinery. There, its tank cars were filled with petroleum products, and it returned on the same route to the plant. The total travel time for the train was
3 1/2 hours. If the train traveled 10 mph slower with the tank cars full, how fast did the train travel in each direction? thanks

Click here to see answer by ikleyn(52775) About Me 
Question 1154641: An empty freight train traveled 60 miles from an auto assembly plant to an oil refinery. There, its tank cars were filled with petroleum products, and it returned on the same route to the plant. The total travel time for the train was
3 1/2 hours. If the train traveled 10 mph slower with the tank cars full, how fast did the train travel in each direction? thanks

Click here to see answer by josmiceli(19441) About Me 

Question 1154669: A company is planning to buy new fork hoists for material handling, there are two models that will serve their needs, Model M & model R. The warehouse supervisor feels that a minimum of 3 model M hoists and 5 model R hoist will be needed. The supplier has 8 model M hoist and 10 model R hoist on hand for delivery. The company purchasing agent has decided that no more than 14 hoists can be purchased. Model M can handle 12,000 kilograms per hour and model R can handle 10,000 kilograms per hour. What number of hoist of each model should be purchased for maximum weight handling capacity? What is the maximum weight handling capacity?

Click here to see answer by Theo(13342) About Me 

Question 1154674: Brianna makes banana bread and nut bread to sell at a bazaar. A loaf of banana bread requires 2 cup of flour and 2 eggs. A loaf of nut bread takes 3 cups of flour and 1 egg. Brianna has 12 cups of flours and 8 eggs on hand. She makes a $2 profit per loaf of banana bread and $2 per loaf of nut bread. To maximize profits, how many loaves of each type should she bake?

Click here to see answer by ikleyn(52775) About Me 

Question 1154672: Paige owns a bakery and sells cookies and muffins. She charges 75 cent per cookie and $1.50 per muffin. When she buys the ingredients it cost her $2 for a big bunch of cookie mix and $2 for muffin mix. she has a budget of $22 per day.For every one cookie she sells,she sells two muffins but doesn't sell more than 12 items in an hour. How much money can Paige possibly make on cookies and muffins in an hour.(linear programming question)
(1) write the objective function from the question
(2) write the constraints from the question (inequalities)

Click here to see answer by greenestamps(13198) About Me 

Question 1154799: An empty freight train traveled 60 miles from an auto assembly plant to an oil refinery. There, its tank cars were filled with petroleum products, and it returned on the same route to the plant. The total travel time for the train was
3 1/2 hours.
If the train traveled 10 mph slower with the tank cars full, how fast did the train travel in each direction?

Click here to see answer by ikleyn(52775) About Me 

Question 1154810: The costs of a trucking company vary jointly as the number of trucks in service and the number of hours they are used. When 3 trucks are used for 6 hours each, the costs are $1332. Find the costs of using 10 trucks, each for 11 hours.
Click here to see answer by josmiceli(19441) About Me 

Question 1154838: The number of days that a given number of bushels of corn will last when feeding cattle varies inversely as the number of animals. If x bushels will feed 23 cows for 9 days, how long will the feed last for 9 cows?
Click here to see answer by ikleyn(52775) About Me 

Question 1155001: (3w^5z^3)(-6w^2)/(-4w^-1z)^-2
Click here to see answer by MathLover1(20849) About Me 
Question 1155001: (3w^5z^3)(-6w^2)/(-4w^-1z)^-2
Click here to see answer by MathTherapy(10551) About Me 

Question 1155273: How much of a 30% solution do you need to add to a 280ml to obtain a 4% solution?

Click here to see answer by Alan3354(69443) About Me 

Question 1155299: Solve the equation
(x+a)(x+b)-ab=(x+c)(x-c)+c(a+c)

Click here to see answer by josgarithmetic(39616) About Me 

Question 1156367: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the plane weighs 1996 lbs. and when carrying 35 gallons of fuel, it weighs 2124 lbs. How much does the plane weigh when it is carrying 50 gallons of fuel?
Click here to see answer by josgarithmetic(39616) About Me 

Question 1156725: Tell whether the function is linear. Then, evaluate the function when x = - 3.
a) f(x) = - 2xᵌ + 5 b) g(x) = 12 - 8x
I hope I pick the correct topic. I really don't answer this. Thank you to anyone who helps me answer the question.

Click here to see answer by Boreal(15235) About Me 

Question 1156848: Sheldon can either take a train or an airplane to San Francisco. If the train takes 9 hours and 5 minutes and the plane takes 2 hours and 39 minutes, how much time would he save taking an airplane?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1157416: Solve the following system of equations by Gauss Seidel method to the fifth iteration.
5x-2y+z=-4
x+6y-2z=-1
3x+y+5z=13



Click here to see answer by ikleyn(52775) About Me 

Question 1157498: Find the equation of the ellipse (𝑥+1)^2/4+(y−1)^2/1=1 reflected in the line 𝑦=−x+12 . Also sketch it.
Click here to see answer by MathLover1(20849) About Me 
Question 1157498: Find the equation of the ellipse (𝑥+1)^2/4+(y−1)^2/1=1 reflected in the line 𝑦=−x+12 . Also sketch it.
Click here to see answer by ikleyn(52775) About Me 

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