Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 200094: DRIVING COST: It is estimated that the annual cost of driving a certain new car is given by the formula:
c = 0.35m + 2200
Where m represents the number of miles driven per year and c is the cost in dollars. Jane has purchased such a car, and decides to buget between $6400 and $7100 for next year's driving cost. What is the corresponding range of miles that she can drive her new car?

Click here to see answer by rfer(12730)

Question 200113: ticket prices Mario's Marionettes donated free tickets for their show to the local Boys and Girls club. They claimed that the ticket value was $176.75. A child's ticket cost $5.50 and an adult ticket cost $8.75. if there were three times as many children's tickets as adult tickets, how many adults and children got to attend the show for free?
Click here to see answer by ankor@dixie-net.com(15746)

Question 200132: In a small high school of 20 students, 6 students are taking algebra, 8 are taking geometry and 3 are taking both. How many students are not taking either?

Click here to see answer by scott8148(6628)

Question 200186: I went over and over on this problem and i'm still coming up with the wrong answer please help ASAP!!!!!

One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a jack.
thank you so much T-Aun

Click here to see answer by checkley77(12569)

Question 200184: your assistant really fast please help ASAP!!!!!!!!!
In how many ways can 6 instructors be assigned to six sections of a course in mathematics?
Click here to see answer by checkley77(12569)

Question 200185: My teacher allow me to re-take my quiz and I still got this problem incorrect please show me ASAP!!!!!!!!!!!!!!! thank you T-aun

500 tickets for prizes are sold for $2 each. Five prizes will be awarded – one for $300, one for $200, and three for $50. Steven purchases one of the tickets.
a) Find the expected value
b) Find the fair price of the ticket.

Click here to see answer by scott8148(6628)

Question 200211: Brand X copier advertises that its copiers run 16% longer between service calls than its competitor. If Brand X copiers run 38,300 copies between service calls, how many copies would the competitor run (to the nearest copy)?
Click here to see answer by rfer(12730)

Question 200220: Please help me...I can't seem to get this one.
The odds against thunderbolt winning the Birmingham Derby are 11:3. Find the probability that Thunderbolt wins.
Thank you in advance!
Click here to see answer by edjones(7569)

Question 200272: The foot of an extension ladder is 7 ft. from the wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the ladder?
Click here to see answer by rfer(12730)

Question 200279: I need your help I miss this one on my quiz and I need to know this for the final please help.

Construct a frequency distribution of the ages that 30 randomly selected smokers started smoking:
25 26 25 17 16 16 14 17 21 16
15 18 17 15 15 19 16 17 23 15
19 17 16 26 16 25 16 17 22 24

thank you so much Terrie
Click here to see answer by rfer(12730)

Question 200278: please I need your help ASAP with this question I miss this on my quiz 1 of 3 same question.

1. Three-fourths of the numbers in any data set will be larger than the
A) third quartile B) fourth quartile C) median D) midrange

2.The number that appears most frequently in a data set is the
A) mean B) midrange C) median D) mode

3. Half of the scores in any data set are below the
A) first quartile B) second quartile C) third quartile D) median

thank you Terrie

Click here to see answer by rfer(12730)

Question 200282: help help ASAP!!!!!!!!!!!!!!!!!!!!!!! miss this one on my quiz big time. thank you Gwendolyn
The following statistics provide information about the scores on a national History exam.
Mean 540 First Quartile 260
Median 450 Third Quartile 678
Mode 468 90th Percentile 890
a) What score did half of the test takers surpass?
b) What was the most common score?
c) What percentage of the test takers scored 678 or better?
d) If Joe had a score of 890, explain the meaning of his score.
Click here to see answer by rfer(12730)

Question 200249: 10. (9 pts) A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white, and blue, and with a choice of three seats, soft, medium, and hard
Click here to see answer by checkley77(12569)

Question 200330: can someone please help me with this problem I'm new to this site and I can use your supoort. Melissa

List and explain the different sampling techniques that can be used in obtaining unbiased samples.

If you can't help me I do understand. thank you again.
Click here to see answer by solver91311(17077)

Question 200329: Hello tutor I'm new to this site can you help me with this problem .

Select five random numbers between 70 and 100. Calculate the mean, median, mode, and midrange of these numbers. Based on your calculations, which measure of central tendency best represents these numbers?

so greatful. Melissa
Click here to see answer by jim_thompson5910(28715)

Question 200194: I need your help again this was on my quiz and i miss it please help ASAP!!!!

In a study of 100 married women with children, the subjects were asked the major reason for working outside the home. The study resulted in the following data:
Reason Number of Responses
To support self/family 65
For extra money 20
For something different to do 10
Other 5
----------------------------------------------------------------
Total 100
Construct a pie chart for the data and analyze the results
Click here to see answer by solver91311(17077)

Question 200373: Area of a painting. A rectangular painting with a width of
x centimeters has an area of x^2 +50x square centimeters.
Find a binomial that represents the length. See the accompanying
figure.
Click here to see answer by nerdybill(7003)

Question 200371: Amount of an investment. The amount of an investment
of P dollars for t years at simple interest rate r is given by
A = P + Prt.
a) Rewrite this formula by factoring out the greatest
common factor on the right-hand side.
b) Find A if $8300 is invested for 3 years at a simple
interest rate of 15%.
Click here to see answer by nerdybill(7003)

Question 200385: Multiple Choice: Use the given information to answer.
Sam has 7 more cassettes than Naomi. Together they have 19 cassettes.

Let c = number of cassettes that Naomi has. In terms of c, how many cassettes does Sam have?
c + 19 c + 7
c + 5
In terms of c, how many cassettes do Sam and Naomi have together?
3c + 19
3c + 7
2c + 7

Choose an equation based on the information, in terms of c, for how many cassettes Sam and Naomi have together.
2c + 7 = 19 c = 19
c + 7 = 12
How many cassettes does Naomi have?
6 4
13
How many cassettes does Sam have?
6 4
13
Click here to see answer by RAY100(1637)

Question 200463: I just help doing some step by step problems can someone show me how to do -30x(squared)+15x + 90 step by step please and 8x(squared)+10x -3 thanks for any help
Click here to see answer by jim_thompson5910(28715)

Question 200459: A math team of 13 people all shake hands with each other exactly once. How many hand shakes occur?
Click here to see answer by solver91311(17077)

Question 200457: How many different ways can you arrange the letters in “JENNY”?

Click here to see answer by cordereal(6)

Question 200524: the stiffness 'S' of a rectangular beam varies jointly as the width and the cube of the depth. if the stiffness is 90 when the width is 2 and the depth is 3, find the stiffness for a beam with a width of 5 and a depth of 2
Click here to see answer by vleith(2825)

Question 200502: Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream
Click here to see answer by jim_thompson5910(28715)

Question 200500: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?

Click here to see answer by jim_thompson5910(28715)

Question 200499: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

Click here to see answer by jim_thompson5910(28715)

Question 200541: how would set this problem up useing polynomials:The Jurassic Zoo charges $28.00 for each adult admission and $12.00 for each child. The total bill for 454 people from a school trip was $3860.00. How many adults and how many children went to the zoo?
this is what I have so far
a+c=454
28(454-c)+12c=3860
Click here to see answer by jim_thompson5910(28715)

Question 200514: the stiffness 'S' of a rectangular beam varies jointly as the width and the cube of the depth. if the stiffness is 90 when the width is 2 and the depth is 3, find the stiffness for a beam with a width of 5 and a depth of 2
Click here to see answer by Alan3354(31518)

Question 200512: suppose that z varies jointly as x and t^2 and inversely as w. if z=4 when x=2, t=1 and w=14, find z when x=-3, t=4, and w=-4.
Click here to see answer by solver91311(17077)

Question 200513: the altitude 'h' of a cone varies directly as its volume and inversely as the square of the radius of its base. if a cone with an altitude of 32 centimeters and a radius of the base is 4 centimeters and has a volume of cubic centimeters, find the altitude of a cone with a volume of 6pi cubic centimeters and the radius of the base is 3 centimeters
Click here to see answer by Alan3354(31518)

Question 200550: Hello,
I really need help with the following word problem: The engineering club ran a coffee and donut sale to raise money for the club's activities. The first week, they made a profit of $200. The second week, they sold 3 times as many donuts, but 1/2 the number of coffees, and made a profit of $225. If the profit for each donut was $.50 and the profit for each coffee was $.75, how many donuts and coffees did they sell the first week?
I would greatly appreciate any help.
Click here to see answer by ankor@dixie-net.com(15746)

Question 200370: Area of a painting. A rectangular painting with a width of
x centimeters has an area of x2+50x square centimeters.
Find a binomial that represents the length. See the accompanying
figure.
Click here to see answer by RAY100(1637)

Question 200552: A perfectly spherical scoop of mint chocolate chip ice cream is placed in a cone, as shown in the figure. How far is the bottom of the scoop of ice cream from the bottom of the cone? Round to the nearest tenth. (Hint: A line segment from the center of the ice cream to the point at which the ice cream touches the cone is perpendicular to the edge of the cone).
Click here to see answer by RAY100(1637)

Question 200551: The state of Colorado is almost perfectly rectangular, with its north border 111 mi longer than its west border. If the state encompasses 104,000 mi^2, estimate the dimensions of Colorado. Round to the nearest mile.
Click here to see answer by RAY100(1637)

Question 200548: There are 15 blue jays and 14 orioles perched in 3 trees . each tree has at least 4 blue jays, and 2 orioles, if no tree has more orioles than blue jays, then the largest number of birds that can be in one tree is
a)11 b) 12 c) 13 d) 14 e) 15
Click here to see answer by Edwin McCravy(8999)

Question 200591: If the cost,in dollars, of a box of my favorite cereal is the same as the number of different values of x which satisfy ( x square minus nine ) to the power of three equal to zero, then a box of this cereal costs how much ?
Click here to see answer by rfer(12730)

Question 200610: The amount of an investment of P dollars for t years at simple interest rate r is given by A = P + prt
Rewrite this formula by factoring out the greatest common factor on the right-hand side.

Click here to see answer by nerdybill(7003)

Question 200613: One number is 3 less than a second number. Twice the second number is 9 less than 5 times the first. Find the smaller of the two numbers.
Click here to see answer by ankor@dixie-net.com(15746)

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