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

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Question 1151490: Hi
A packet of sweets is shared between Tom Tim and team in the ratio of 3:4:8.after Tom ate 15 sweets the ratio became 2:6:12.how many sweets did Tom have left.
Thanks
Click here to see answer by ikleyn(52750)

Question 1151519: after eating at the restaurant, Joan, Melanie, and Sam decided to divide the bill
evenly. if each person paid 37 dollars, what was the total of the bill?
Click here to see answer by MathLover1(20849)

Question 1151524: You're going to build a 3 foot by 7 foot garden. If you surround it with a 1 foot wide brick border how many square feet of brick do you need?
Click here to see answer by ikleyn(52750)

Question 1151545: Sam brought 2 pounds of beef to make soup. He uses 1/12 of the beef in the soup. If he uses all the beef, how many bowls of soup did Sam make.
Click here to see answer by Alan3354(69443)

Question 1151553: Kenny uses 7/12 kilograms of clay to make a pot. He gets a order for 15 pots.
1. How much clay does Kenny need for the pots.
2. Kenny made another pot that uses 2 2/5 times as much clay. How many kilograms of clay does this pot need.
Click here to see answer by Alan3354(69443)

Question 1151558: In the diagram, q1 = +6.39*10^-9 C. The electric field at point P is zero. What is the value of the charge q2?
Q1_______P____________Q2
•—————•———————-•
|->.424 m<-| |—>.636 m<—|

Click here to see answer by ikleyn(52750)

Question 1151565: https://answers.yahoo.com/question/index?qid=20200124173940AAELDAb
I need help with this problem
Click here to see answer by Boreal(15235)

Question 1151579: Gale is uprooting plants that are in a row 20 meters long. The plants were planted 1/4 meters apart.
1. How many plants did Gale have in the row before uprooting them.

Click here to see answer by ikleyn(52750)

Question 1151603: A pool is
30
30 feet wide and
40
40 feet long is to be surrounded by a pathway
x
x feet wide. Find an expression for the area of the pathway as a function of
x
x.

Click here to see answer by ikleyn(52750)

Question 1151611: It's a Microeconomic question related to choice under uncertainty:

Kate will earn $150,000 this year for certain. However, Sam’s income depends on whether he is able to earn a large bonus - his income is will be $80,000 without the bonus but $200,000 if he gets the bonus. The probability that he receives the bonus is 0.4. Kate and Sam are considering an income-sharing agreement. Under this legally binding agreement, the two people will agree to split their combined incomes evenly.

a. If each person is risk-neutral, will both of them be willing to sign the agreement? Why or why not?
b. Instead, suppose that each person has a utility function over income given by U(M)=M^0.5, where M represents income. Will both people be willing to sign the agreement? Why or why not?
c. Suppose instead they try to establish an agreement under which x% of the combined income goes to Sam and the remainder goes to Kate. What is the lowest value of x such that Sam would still accept the contract? Will the two people both be willing to enter an agreement?

Click here to see answer by Alan3354(69443)

Question 1151610: It's a Mircoconomic Question about Choice under uncertainty:

Suppose someone offers to sell you a Michael Jordan autographed jersey for $1000. You think there is an 80% chance that the jersey is authentic. If it is authentic, your friend who is a huge Michael Jordan fan has offered to buy the jersey for $3000. If it is not authentic, you cannot sell it or gain any utility by owning it. Your utility of income function is U(M)=(M+2000)^0.5. Suppose a sports memorabilia expert can appraise the jersey and tell you with certainty whether the jersey is authentic before you buy the jersey for a price x.
(a) Write out the condition on x such that you would be willing to purchase the appraisal.
(b) If x=600, would you buy the appraisal?
(c) Discuss intuitively how your answers to (a) and (b) would change if the expert makes an accurate prediction with probability 0.9 (and an incorrect prediction with probability 0.1).
Click here to see answer by Alan3354(69443)

Question 1151626: Hi
A man bought a number of books for $300.if each book cost 5 dollars more he could buy 10 books less for the same amount.
Find the price of each book.
Thanks

Click here to see answer by ikleyn(52750)

Question 1151639: Mercy’s Hospital’s electric bill for September was $2489. This is a decrease of 5% from August electric bill. What was the hospital’s electric bill in August?
Click here to see answer by Theo(13342)

Question 1151670: https://answers.yahoo.com/question/index?qid=20200126203856AAnawCd
Click here to see answer by Alan3354(69443)

Question 1151638: Hi
A road is 6km long. Donna runs around the pond and Emily walks in the opposite direction. They start at the same point.When they depart at the same time they will meet after 20min. Additionally if Donna departs 15min behind Emily they will meet after 16min.
How many meters per minute are Donna and Emily moving forward.
Thanks
Click here to see answer by Alan3354(69443)

Question 1151717: The first aircraft has 60 more seats than the second aircraft. The third aircraft has 44 fewer seats than the second aircraft. If their total number of seats is 406, find the number of seats for each aircraft.
Click here to see answer by josgarithmetic(39613)

Question 1151680: Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $19 comma 900, and the 4th year his income was $23 comma 800. In which year was his income $ 31 comma 600 question mark
Click here to see answer by rfer(16322)

Question 1151742: Hi
If 2 teams work together they can finish a job in 8 days. The rate of work of the first team is 5/8 of the rate of the second team. How many days each team needs to complete this job working alone.
Thanks
Click here to see answer by josmiceli(19441)

Question 1151856: You have $500,000 in an IRA (Individual Retirement Account) at the time you retire. You have the option of investing this money in two funds: Fund A pays 4.2% annually and Fund B pays 6.7% annually. How should you divide your money between Fund A and Fund B to produce an annual interest income of $28,500?
Click here to see answer by ikleyn(52750)

Question 1151866: A classic children's toy consists of 12 different blocks that combine to form a rectangle showing a man's face. Each block has four sides with alternatives for that part of the face; for example, the block for the right eye might have a closed eye on one side, a partially open eye on another, and so on. A child can turn any block and so change that part of the face, and in this way many different faces can be formed.
If a child makes one change each minute and spends 40 hours a week changing faces, how many years will it take to see every possible face? (Round your answer to the nearest whole number.)
For this problem I know that there are 16777216 possibilities because its 4^12 but I am uncertain as to how to figure out how much time it would take to see each option.
Click here to see answer by ikleyn(52750)

Question 1151884: Rose purchased a total of 17 books and toys for the Rupert Play School. Each book costs $11 and each toy costs $6. How many books and toys did she buy for $157?

Click here to see answer by Boreal(15235)

Question 1151956: please help me solve this: Jim wants to get at least a 90% of math competition problems correct. however he has only answered 20 out of 50 correctly so far this year. what is the least number of problems he has to solve in the future in order to reach 90%?
Click here to see answer by josgarithmetic(39613)

Question 1151954: The waiting time for a bus has a uniform distribution between 0 and 8 minutes. What is the 90th percentile of this distribution? (Recall: The 90th percentile divides the distribution into 2 parts so that 90% of area is to the left of 90th percentile) _______ minutes Answer: (Round answer to one decimal place.
Click here to see answer by ikleyn(52750)

Question 1152025: the Andrews company would like to donate 20 computers and 15 printers to local schools. the Company would like to make sure that each school receives the same sets of computers and printers, with none left over. what is the greatest numeber of schools that the Andrews Company can donate?

Click here to see answer by Theo(13342)

Question 1152045: The sum of 2 numbers is 21.3/4 of one of the number is added to 2/3 of the other gives a sum of 15.Find the two numbers.please with step by step explanation.
.
Click here to see answer by Boreal(15235)

Question 1152068: An inch of snow on an acre of land would produce x gallons of water. Determine amt.
An acre = 43560 sq. ft.
An inch of snow = 10 in. of rain.
Volume = length * width * height.

Not sure how to solve.
Click here to see answer by Theo(13342)

Question 1152086: Two numbers differ by 91 and add to 295. What is the value of the larger number ?
Click here to see answer by Alan3354(69443)

Question 1152086: Two numbers differ by 91 and add to 295. What is the value of the larger number ?
Click here to see answer by josgarithmetic(39613)

Question 1152086: Two numbers differ by 91 and add to 295. What is the value of the larger number ?
Click here to see answer by greenestamps(13195)

Question 1152087: In a basketball game, Ellen scores 20 more points than Kevin, and Kevin scores three times as many points as bob. If 48 points were scored in total by these three players, how many points did Kevin score ?
Click here to see answer by josgarithmetic(39613)

Question 1152089: Last year Coca-Cola and PepsiCo had a combined revenue of $66 billion. If Coca-Cola received $14 billion more in revenue than PepsiCo last year, then what was the total revenue for PepsiCo last year?

Click here to see answer by Boreal(15235)

Question 1152088: A company that sell tea creates an 80 pound mixture of chamomile and green tea leaves. Chamomile costs $13.40 per pound and green tea costs $6.55 per pound. Let the variable c represent the amount of chamomile used in pounds.
Click here to see answer by ikleyn(52750)

Question 1152102: Good day. I need your help for this word problem. Thank you in advance.
The price of one seat in a movie house is P30.00 and an average of 300 persons enters every day. If the price was increased to P40.00, how many persons would yield the same amount of movie house?
Click here to see answer by ikleyn(52750)

Question 1152250: We have a box with eight green marbles, seven red marbles, and six blue marbles. We choose three marbles from the box at random without looking. Write the probability in decimal form rounded to three places.
What is the probability that they will all be the same color?
Click here to see answer by ikleyn(52750)

Question 1152253: Six acts are scheduled to perform in a variety show. How many different ways are there to schedule their appearances?
Click here to see answer by ikleyn(52750)

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