Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 27044: 1) A grocery store makes up fruit baskets using as many as four apples, three peras, adn for oranges. A basket must contain at least on piece of fruit. How many different fruit selections are possible?
2)A 10-letter word consists of 4 A's and 6 B's. HOw many different words are possible if no two A's can be next to eachother? (hint start with BBBBBB and decide where to put the A's)
3) A computer manufacturer has 50 distinct microchips to place into a rectangular array that is 5 units wide by 10 units long:
a)In how many ways can the chips be arranged?
b)Ten of the chips control special functions. How many arrangements are possible if these occupy the 1st column
c) Find the number of arrangements having no special-function chips in the 1st column.
Click here to see answer by venugopalramana(3286)   |
Question 27406: Tom is looking at his encyclopedia of math games. It has four unumbered cover pages and 256 interior pages number from 1 to 256. The left pages are even numbers and the right pages have odd numbers. Tom opens the book at random and adds up the six digits of the two pages in front of him. The sum is the greatest it can be. What are the two page numbers?
Click here to see answer by bmauger(101)  |
Question 27432: I need a little help with this word problem. I have tried to fiugre out how to write it out into algebraic form...but have been unsuccessful. Any help would be appreciated.
The inscription on Greek Diophantus' tomb:
One-sixth of his life God granted him youth. After a twelfth more, he grew a beard. After an additional seventh, he married, and 5 years later, he had a son. Alas, the unfortunate son's life span was only one-half that of his father, who consoled his grief in the remaining 4 years of his lfe.
Use your knowledge to find how many years Diophantus lived. (HINT: let x be the number of years Diophantus lived.)
Again thanks for the help.
Click here to see answer by wuwei96815(245) |
Question 27432: I need a little help with this word problem. I have tried to fiugre out how to write it out into algebraic form...but have been unsuccessful. Any help would be appreciated.
The inscription on Greek Diophantus' tomb:
One-sixth of his life God granted him youth. After a twelfth more, he grew a beard. After an additional seventh, he married, and 5 years later, he had a son. Alas, the unfortunate son's life span was only one-half that of his father, who consoled his grief in the remaining 4 years of his lfe.
Use your knowledge to find how many years Diophantus lived. (HINT: let x be the number of years Diophantus lived.)
Again thanks for the help.
Click here to see answer by Paul(988) |
Question 27374: A model rocket is launched from a height of 96 feet. The formula h=-16t^2+80t+96 describes the rockets height, h, in feet, t seconds after it was launched. How long will it take the rocket to reach the ground?
Click here to see answer by mbarugel(146) |
Question 27462: I'm a Mom and being asked for help with a word problem in algebra. I am guessing that the answer is 4. Here is the problem.
The edges of a large cube are 4 times larger than than the edges of a small cube. How many times are greater is the volume of a large cube than a small cube?
A) 4
B) 16
C) 64
D) 12
Click here to see answer by Paul(988) |
Question 27621: I need help answering the following math problem: Going into the final exam, which will count as two-thirds of the final grade, Mike has test scores of 86, 80, 84, and 90. What score does Mike need on the final in order to earn a B, which requires an average score of 80? What does he need to earn an A, which requires an average of 90?
I began answering the first part of the problem by using the following equation and solving for x: 86 + 80 + 84 + 90 + 2/3x = 340 + 2/3x. X = 90. So, Mike needs a score of 90 to earn a B and using the same formula, he needs a score of 165 to earn an A.
However, I am not sure if I solved this problem correctly. Please advise where I might have messed up. Thank you in advance.
Click here to see answer by venugopalramana(3286) |
Question 27923: Write the equation and solve
A pair of jeans is on sale for 15percent off the original price.The sale price of the jeans is $ 29.74. what is the original price.
a bank teller is counting his money and notices that he has an equal number of tens and twenties . He also has $147 in other bills. If the total value of the bills he has is $1167, how manytens and twenties does he have?
please help me answer the questions above. Me and my mom have tried figureing them out and havent suceded.
thank you
Click here to see answer by bmauger(101) |
Question 27994: A rectangle with 90 square inches has length that is 2/3 of the width plus 4 inches. What are the lenght and width. I know the answer through common sense they are width of 9 inches and length of 10 inches. How do I show how I got those answer with only the info above.
Thank you,
Dale
Click here to see answer by Paul(988) |
Question 28038: I need help please on the following: To remain on financial aid, Millie needs to complete an average of at least 7 credits per quarter each year. In the first three quarters of 2001, Millie completed 5, 7, and 8 credits. How many credits of course work must Millie complete in the fourth quarter if she is to remain on financial aid?
I appreciate any assistance. Thank you so much.
Click here to see answer by stanbon(26297) |
Question 28036: Please help. My problem is as follows: Laura is certain that every time she parks in the municipal garage it costs her at least $2.20. If the garage charges 45 cents plus 25 cents for each half hour, for how long is Laura's car generally parked? I came up with:
X +.45 +.25 = $2.20
X -.45 -.25 = $2.20 - .45 -.25
X = $1.50
Thanking you in advance.
Click here to see answer by stanbon(26297) |
Question 28057: suppose 5 points with integer coordinates are chosenat random from the xy-coordinate system. Show that the midpoint of a line segment that connects at least one pair of these points has integer coordinates.
Click here to see answer by bmauger(101) |
Question 28304: I need help on the following problem: Reduced Fat Skippy peanut butter contains 12 g of fat per serving. In order for a food to be labeled "reduced fat", it must have at least 25% less fat than the regular item. What can you conclude about the number of grams of fat in a serving of the regular Skippy peanut butter?
Thanking you in advance for any assistance.
Click here to see answer by josmiceli(3013) |
Question 28343: Let's do a Koningsberg bridge problem for the city of New York. We will ignore any tunnels and Staten Island since there is only one bridge to it which immediately makes it impossible. Within the city I count the following:
11 bridges between Manhattan and the Bronx
6 bridges between Manhattan and Queens/Brooklyn
4 bridges between the Bronx and Queens/Brooklyn
Is it possible to make a tour of the city crossing every bridge only once and still return to the same starting point?
Click here to see answer by khwang(438) |
Question 28365: A fire is reported at a chemical plant on the east side of the city. The fire engine travels an average of 38 mile per hour. It takes the engine 15 minutes to get to the chemical plant. How far away is the chemical plant?
A. 7.1 miles
B. 7.4 miles
C. 8.6 miles
D. 9.2 miles
E. 9.5 miles
I need to figure out how to solve this problem step by step please.
Click here to see answer by josmiceli(3013) |
Question 28373: I need assistance on the following problem: Rod's quiz grades are 73, 75, 89, & 91. What scores on a fifth quiz will make his average quiz grade at least 85? Translate to an equality. I came up with:
X + 73 + 75 + 89 + 91 = greater then 85
X + 328 = greater then 85
???????????
X = 97
Thanking you in advance.
Click here to see answer by venugopalramana(3286) |
Question 28372: I need assistance on the following problem: Rod's quiz grades are 73, 75, 89, & 91. What scores on a fifth quiz will make his average quiz grade at least 85? Translate to an equality. I came up with:
X + 73 + 75 + 89 + 91 = greater then 85
X + 328 = greater then 85
???????????
X = 97
Thanking you in advance.
Click here to see answer by venugopalramana(3286) |
Question 28496: PLEASE HELP ASAP: Two rainstorms occured in one week in a certain area. The first storm lasted 15 hours, and the second storm lasted 35 hours, for a total 1925ml of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 75ml per hour?
Thank you so very much
Click here to see answer by Paul(988) |
Question 28509: a skillet is removed from an oven whose temperature is 450 degrees and is placed in a room whose temperature is 70 degrees. after 5 minutes, the temperature of the skillet is 400 degrees. how long will it be until it's temperature is 150 degrees?
Click here to see answer by wuwei96815(245) |
Question 28509: a skillet is removed from an oven whose temperature is 450 degrees and is placed in a room whose temperature is 70 degrees. after 5 minutes, the temperature of the skillet is 400 degrees. how long will it be until it's temperature is 150 degrees?
Click here to see answer by bmauger(101) |
Question 28585: This one gets me because I think I'm close but cannot get a perfect match on the numbers.
I bought 4 bags of chips and 1 bag of peanuts for $1.75. Then my sister bough 2 bags of chips and 4 bags of peanuts for $2.00. Find the cost of a bage of chips and the cost for a bag of peanuts.
3x+1y=1.75
2x+4y=2.00
so,
3x+1y=1.75
-4x-8y=-400
-7y=-2.25
y=0.32
3x+1(0.32)=1.75
3x+0.32=1.75
3x=1.43
x=0.47
Click here to see answer by Paul(988) |
Question 28654: PLEASE HELP ASAP: The number of senior citizens in the US in millions (n) years after 1990 can be estimated by using the formula: s = 0.38n + 31.2
The percentage of senior citizens living below poverty level (n) years after 1990 can be estimated by using the formula: p = -0.25n + 12.2
a.) How many senior citizens were there in 2000?
b.) In what year will the percentage of seniors living below poverty level reach 7%?
Thank you so much
Click here to see answer by venugopalramana(3286) |
Question 28650: PLEASE HELP ASAP: The number of senior citizens in the US in millions (n) years after 1990 can be estimated by using the formula: s = 0.38n + 31.2
The percentage of senior citizens living below poverty level (n) years after 1990 can be estimated by using the formula: p = -0.25n + 12.2
a.) How many senior citizens were there in 2000?
b.) In what year will the percentage of seniors living below poverty level reach 7%?
Thank you so much
Click here to see answer by venugopalramana(3286) |
Question 28782: To secure a 500-meter radio tower against high winds, guy wires are attached to a ring 5 meters from the top of the tower. The wires form a 15 degree angle with the tower. Find the distance from the tower to the guy wire anchor in the ground.
Click here to see answer by stanbon(26297) |
Question 28892: Mike's bank contains only nickels, dimes, and quarters. There are 62 coins in all, valued at $5.40. The number of nickels is 2 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?
Items I think I know about this problem
N+D+Q= 62
.05N+.10D+.25Q=$5.40
N= 3(D=Q)-2
Am I on the right track, and can I get some help solving.
Click here to see answer by venugopalramana(3286) |
Question 28923: I have tried my best to solve the following word problem. i figured scince the basebaal & football weigh 1.25, the bsaeball must weigh 1 pound and football 25 and soccer 35 I am really lost
Together, a baseball and a football weigh 1.25 pounds, the baseball and a soccer ball weigh 1.35 pounds, and the football and the soccer ball weigh 1.9 pounds. How much does each of the balls weigh?
Click here to see answer by Paul(988) |
Question 28923: I have tried my best to solve the following word problem. i figured scince the basebaal & football weigh 1.25, the bsaeball must weigh 1 pound and football 25 and soccer 35 I am really lost
Together, a baseball and a football weigh 1.25 pounds, the baseball and a soccer ball weigh 1.35 pounds, and the football and the soccer ball weigh 1.9 pounds. How much does each of the balls weigh?
Click here to see answer by wuwei96815(245) |
Question 28912: A man places one end of a crowbar 5.5 feet long under a rock. At a 4.5 inches from the rock, he places a stone to use as a fulcrum. If he uses a force of 160 pounds at his end of the crow bar, he just raises the rock. How much does the rock weigh?
Click here to see answer by venugopalramana(3286) |
Question 29116: i need help on this problem fast, i need the answer in the next hour...please! this was the only problem that i cant solve. the price,p, of oil varies inversely as the supply, s. an opec nation sells oil for $19.50 per barrel when its daily production level is 4 million barrels. at what price will it sell if the daily production level is decreased by 3 million barrels?
Click here to see answer by stanbon(26297) |
|
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
|
