Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

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Question 54277: Need help solving these four questions:
1. How many pounds of coffee beans selling for $2.80 per pound should be mixed with 2 pounds of coffee beans selling for $1.60 a pound to obtain mixture selling for $2.56 per pound?
2. Two trains, an express and a commuter, are 450 miles apart. Both start at the same time and travel toward each other. The meet 6 hours later. The speed of the express is 25 mph faster that the commuter. Find the speed of each train.
3. Two cars are traveling in opposite directions at average rates of 60 mph and 72 mph. How many hours will it take before the ars are 198 miles apart?
4. One thousand two hundred people attended a college basketball game. Student tickets cost $4 and all other tickets cost $15. If the receipts for the game totaled $12,786, how many of each kind of ticket was sold?
5. A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50miles per hour leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started?
6. A landscaper has a budget of $2250 to palnt 100 azaeleas and rhododendrons around a new office building. If there is a cost of $40 per rhododendron and $15 per azalea, how many of each can she plant?
When you give the answers please identify the variable, write the equation and show me how to solve the equation.
Click here to see answer by funmath(2925)

Question 54356: Do you guys have information on radical expressions? Do you guys help students with their math problems?

Click here to see answer by stanbon(57223)

Question 54384: A factory produces cans of mixed nuts. Each can contains x ounces pf peanuts, and twice as many ounces of cashews, almonds, and Brazil nuts combined, peanuts cost 15 cents an ounce, and all other nuts cost 20 cents an ounce. How do you express the cost of a can of nuts in dollars?
Click here to see answer by Edwin McCravy(8880)

Question 54382: A passenger train leaves traveling 60 mph. A freight train leaves at the same time traveling 40 mph and travels the same distance. The passenger train arrives at its destination 1.5 hours earlier than the freight train. How long does each train take to make the trip?
Click here to see answer by Nate(3500)

Question 54420: 4c-6+c=4-3c
Click here to see answer by askmemath(368)

Question 54458: 2 divided by 8x-6 is equal to 4 divided by 4x+2
Click here to see answer by checkley71(8403)

Question 54486: At 10:00 a.m, a car leaves a house at a rate of 60 mi/h. At the same time, another car leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart?
Click here to see answer by checkley71(8403)

Question 54507: 7a=2a+30
Click here to see answer by checkley71(8403)

Question 54510: i need help with this please
7a=2a+30
Click here to see answer by rchill(405)

Question 54503: 12-n=-3
Click here to see answer by rchill(405)

Question 54561: When a third number is averaged with 16 and 23, the result is 22. Find that third number.
Click here to see answer by stanbon(57223)

Question 54561: When a third number is averaged with 16 and 23, the result is 22. Find that third number.
Click here to see answer by wgomero(28)

Question 54560: Tina used 1/3 of her bus tokens, then lost 3/4 of the rest. This left her with 3 tokens. How many did she start with?
Click here to see answer by checkley71(8403)

Question 54560: Tina used 1/3 of her bus tokens, then lost 3/4 of the rest. This left her with 3 tokens. How many did she start with?
Click here to see answer by stanbon(57223)

Question 54559: One number is 3 more than half of a second number. If the average of the two numbers is 15 1/2, find the smaller of the two numbers.
Click here to see answer by checkley71(8403)

Question 54559: One number is 3 more than half of a second number. If the average of the two numbers is 15 1/2, find the smaller of the two numbers.
Click here to see answer by wgomero(28)

Question 54558: Admission to a national park is so much per van. A group of friends in a van shared the admission cost by paying $0.50 apiece. If 2 more friends had joined them, everyone would have paid on $0.40 apiece. How much does it cost a van to enter the park?
Click here to see answer by checkley71(8403)

Question 54555: A lad agreed to work one year for $240.00 and a calf. At the end of seven months he quit and received $100.00 and the calf. What was the value of the calf?
Click here to see answer by checkley71(8403)

Question 54570: Heres the problem 4(5n-7)=10n+2 Ive tried it a couple of times but i always get stuck here
4(5n-7)=10n+2
20n-28=10n+2
30n-26-------This is where i get stuck
Click here to see answer by Born2TeachMath(20)

Question 54556: In a taste test between two brands of cereal, 1199 votes were cast. If 25 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each cereal actually receive?
Click here to see answer by Paul(988)

Question 54616: Hello, I am needing some help in trying to figure out how to solve this equation: (x+b)(x-b)=-8 and x=1. Your help would be very much appreciated. Thankyou and have a good day.
Click here to see answer by tutorcecilia(2152)

Question 54662: Are two lines intersecting that form a 90 degree angle called perpendicular lines?
Click here to see answer by eaosmartchik202(2)

Question 54685: To be honest I am not sure what category it is. Can you please help me, I only know the first steps? Please read everything that I worte. It's only one problem, I just have a few quetions and I hope you can explain it clearly enought to me. Thank You for the help!The section of my book says "Solving Equations with variables on Both Sides" The problem is....
9(b-4)-7b=5(3b-2)
9b-36-7b=15b-2
this is where I kinda get confused, do you minus 9b from 9b then minus 9b from 7b or do you add 7b to 7b then add 7b to 9b. Can you do -36-2? Can you tell me what some of these steps are and why it is what it is please? For this problem I only know how to combine like terms and do the little division thing at the end. I can do easier problems like 12y+21=9y , 12y-12y+21=9y-12y, 21=-3y. -3y divided by -3 cancels out then you do it to the other side 21 divided by -3 = -7 so y=-7
Click here to see answer by checkley71(8403)

Question 54722: If you see a problem like this: 3h-7=47, do you change the subtraction to addition?
Click here to see answer by wgomero(28)

Question 54723: If you see a problem like this: 3h-7=47, do you add 7 to both sides?
Click here to see answer by wgomero(28)

Question 54748: I am stuck on correct answer for:
'
If x + y = 2 and x - y = 6 then y =

I am not using any specific book. I am just practicing..
Click here to see answer by psbhowmick(529)

Question 54748: I am stuck on correct answer for:
'
If x + y = 2 and x - y = 6 then y =

I am not using any specific book. I am just practicing..
Click here to see answer by venugopalramana(3286)

Question 54747: I am stuck on correct answer for:
2 to the power of negative 3 =
I think it equals -8. What is correct answer?

I am not using any specific book. I am just practicing..
Click here to see answer by anjulasahay(30)

Question 54746: I am stuck on correct answer for:
what are all possible values of X such that X^2 = 5x

I am not using any specific book. I am just practicing..
Click here to see answer by anjulasahay(30)

Question 54745: I am stuck on correct answer for:
if AX - B = 0 and A is not equal to 0, then x =

I am not using any specific book. I am just practicing..
Click here to see answer by funmath(2925)

Question 54756: give a counterexample that demonstrates that the converse of the statement is false:
If Terry lives in Tampa, then she lives in Florida.
Click here to see answer by funmath(2925)

Question 54755: give a counterexample that demonstrates that the converse of the statement is false:
If an angle measures 94 degrees, then it is obtuse.
Click here to see answer by funmath(2925)

Question 54729: Okay, tried working this one....substitution....getting confused:
4x=3-y 8x+2y=6 solve x and y
Click here to see answer by tutorcecilia(2152)

Question 54828: Well this problem isn't in the book, it's some other problems we were supposed to do. PLease tell me what I am doing wrong on this problem, I try to do it but every time I check to see if it's a solution it's not.
(2x+1)3=4x+7
6x+3=4x+7
6x-4x=4
2x=4
1x=2
I don't know I have tried it many other ways too but I just don't get the right answer.
Click here to see answer by stanbon(57223)

Question 54810: 5a^2 – 125 = 5(a – 5)^2 Is this factored completely?
Click here to see answer by hulamc723(15)

Question 54791: Can someone help me on this problem?
Is 19 a solution to the equation 10 - x = 9?
Thanks,
Sher
Click here to see answer by funmath(2925)

Question 54808: b^2 – ab – 6a^2 I was told to facrtor this problem completely and this is the answer that I came up with am I right?(b + 3a)(b – 2a)
Click here to see answer by stanbon(57223)

Question 54808: b^2 – ab – 6a^2 I was told to facrtor this problem completely and this is the answer that I came up with am I right?(b + 3a)(b – 2a)
Click here to see answer by funmath(2925)

Question 54882: the problem is 1/2-5/8x=7/8x+7/2
do I use the reciprocal method to get rid of 7/8 to get x by itself?

Click here to see answer by Cintchr(481)

Question 54846: What is the order of operations in this problem??
Click here to see answer by funmath(2925)

Question 54955: Can someone help me on this equation?

I need to complete the ordered pair so that each is a solution for the given equation:
3x + 4y = 12
pair 1 is= (,3/4)
pair 2 is= (,0)
Thanks,
Sher
Click here to see answer by funmath(2925)

Question 54957: Can someone help me on this equation?
I need to find two solutions for this equation:
Celsius temperature readings can be converted to Fahrenheit readings using the formula F= 9/5C + 32. What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures: 0 , 15, and 100?
Thanks,
Sher
Click here to see answer by rapaljer(4667)

Question 54899: 23-11c=5c
------
7
Click here to see answer by tutorcecilia(2152)

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, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755