Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 145977: I am taking and entrance exam to get into a trade school Im having problems with these type of problems.Can you explain how to come up with the answer to some these questions namely no.2? Whatever help you can offer me would be greatly appreciated.
Thank You
Sincerely
Louis Gordon-HayIII
1. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?
A. $325
B. $375
C. $400
D. $408
E. $425
2. If y(x-1)=z then x=
A. y-z
B. z/y + 1
C. y(z-1)
D. z(y-1)
E. 1-zy
3. Which of the following values is NOT equal to 34(58+9)?
A. 34 x 67
B. 58(34+9)
C. 34 x 58 + 34 x 9
D. 1,972 + 306
E. (9 + 58) 34
4. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?
A. 50°
B. 55°
C. 60°
D. 80°
E. 90°
5. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many ounces?
A. 863
B. 878
C. 896
D. 915
E. 932
6. Which year did the most children take swimming lessons?
A. 1990
B. 1991
C. 1992
D. 1994
E. 1995
7. Between which year did the largest decrease in children taking swimming lessons occur?
A. 1990-1991
B. 1991-1992
C. 1992-1993
D. 1993-1994
E. 1994-1995
8. What was the average number of children taking swim lessons from 1990 to 1995?
A. 250
B. 308
C. 385
D. 450
E. 1,850
9. Which of the following is equal to 5.93 x 10-2?
A. 0.0593
B. 0.00593
C. 593
D. 5930
E. 59300
10. On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6 1/5 inches. How many miles are actually between the two towns?
A. 65 miles
B. 84 miles
C. 124 miles
D. 138 miles
E. 145 miles
11. Which of the following is a correct graph of x>1, x <4?
A. Line A
B. Line B
C. Line C
D. Line D
E. Line E
12. How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed?
A. 18
B. 24
C. 32
D. 36
E. 43
13. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?
A. 10
B. 15
C. 20
D. 25
E. 30
14. Which of the following fractions is equal to 5/6?
A. 20/30
B. 15/24
C. 25/30
D. 40/54
E. 2/7
15. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?
A. $224.51
B. $237.60
C. $246.55
D. $271.38
E. $282.32
16. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?
A. $6,000
B. $8,500
C. $12,000
D. $15,000
E. $18,500
17. You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?
A. 50 feet
B. 75 feet
C. 120 feet
D. 130 feet
E. 150 feet
18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
A. 8.1
B. 8.3
C. 8.6
D. 8.9
E. 9.0
19. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?
A. $32.48
B. $64.96
C. $97.44
D. $129.92
E. $194.88
20. If 3x=6x-15 then x + 8=
A. 5
B. 10
C. 11
D. 12
E. 13
21. The number of milliliters in 1 liter is
A. 10,000
B. 1,000
C. 0.1
D. 0.01
E. 0.001
22. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?
A. 1
B. 2
C. 3
D. 4
E. 5
23. What is 1/9 of 9?
A. 1/9
B. 0
C. 1
D. 2
E. 3
24. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
A. 3
B. 7
C. 8
D. 9
E. 11
25. Which fraction is equal to 0.20%?
A. 1/20
B. 1/40
C. 1/50
D. 1/400
E. 1/500
26. Find the missing term in the following sequence: 4, 9, 19, __, 79
A. 36
B. 37
C. 38
D. 39
E. 40
27. How much money did Jessica's budget allow for housing in April of 2001?
Click here to see answer by nerdybill(7384)   |
Question 147150: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region.
Click here to see answer by nerdybill(7384) |
Question 149335: I need help. Could you please teach me how to get the next three terms of this series?
1 4 9 61 59 94 _ _ _
Thank you very much.
I'm sorry to tell you that this question came from the math teacher that's why I can't furnish the book source.
Click here to see answer by 8336625(3) |
Question 150240: Im stuck on this problem. Please help me by showing all the steps and equation. I know the answer is A. -1/8, but i don't know how the problem is solved. Please help me. Thank you!
1. What is the next term in the geometric sequence 16, –4, 1, – 1/4 ,... ?
A. –1/8
B. 0
C. 1/16
D. 1/8
E. 1/2
Click here to see answer by mangopeeler07(462) |
Question 151887: Could I please get someone to varify my answer?
SUM8(-0.5i+2)
i=1
After coming up with the equation 8/2(2+(-2)), I got (0) as my answer. Is this correct? Sorry about the equation, I was not sure how to type it all and I hope you can figure it out.
Click here to see answer by nabla(475) |
Question 151997: Could someone please help me solve this word problem dealing with number sequences?
A graphic artist makes $20000 his first year and gets $500 raise each year. Compute his total salary and mean annual salary for 20 years of work.
Click here to see answer by mangopeeler07(462) |
Question 151997: Could someone please help me solve this word problem dealing with number sequences?
A graphic artist makes $20000 his first year and gets $500 raise each year. Compute his total salary and mean annual salary for 20 years of work.
Click here to see answer by jojo14344(1513) |
Question 155500: What is the sequence patten and identify the sequences as arithmetic, geometric , or neither.
1. 3,6,12,24,...
2. 1,3,5,7,...
3. 1,2,6,24,...
4. 0,7,14,21,...
Click here to see answer by vleith(2983) |
Question 155500: What is the sequence patten and identify the sequences as arithmetic, geometric , or neither.
1. 3,6,12,24,...
2. 1,3,5,7,...
3. 1,2,6,24,...
4. 0,7,14,21,...
Click here to see answer by jim_thompson5910(35256) |
Question 156348: Trying to find the series for my son's "Chicago Math" 7th grade class. It's an exponetial series with the following (x,y) points (1,1), (2,3), (3,6), (4,10), (nth,?).
Help if you can, Thanks!
Click here to see answer by stanbon(75887) |
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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, 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, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790
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