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

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Question 269601: Two sides of a triangle have the same length. The third side measures 2m less than twice the common length. The perimeter of the triangle is 22m. What are the lengths of the three sides?
Click here to see answer by ninadbhat(3)

Question 269551: Hello Guys,
I think I got it can you please check it for me here is the question and the answer.
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6. Repetition of digits is permitted.
Thank you,
1.Use the counting principle to determine the number of points in the sample space.

2.Construct a tree diagram to represent this situation and submit it to the week 5, assignment 3 dropbox.

3.List the sample space.

4.Determine the exact probability of creating a mini license plate with an R. Give solution exactly in reduced fraction form.

HERE IS MY ANSWER:
First our license plate must be in the form of
# - L - L,
or,
number - letter - letter.
we have 2 choices for the numbers, 2 or 6
we have 3 choices for the letters r - u - n.
repetition is allowed: So there is a second 3 choices for letters r - u - n
---
1. Use the counting principle to determine the number of points in the sample space.
ANSWER: The counting principal is all about multiplying the number of ways one event occurs x the number of ways a second event occurs x the number of ways a third event occurs and so on. In our case we have 2 number choices and 3 letter choices, but two times.
2 x 3 x 3 = 18.
---
2. Construct a tree diagram to represent this situation.
ANSWER:
step 1 - write a 2 and below it with a little space write a 6
step 2 - from the 2 draw 3 arrows and next to the end of these write R,U, N
step 3 - next to each of the letters draw another 3 arrows and write the letters again for R,U,N
step 4 - from the 6 draw 3 arrows and next to the end of these write R,U,N
step 5 - next to each of the letters draw another 3 arrows and write the letters again for R,U,N
---
3. List the sample space.
ANSWER: this is pretty straight forward from the tree diagram. we get
2aa, 2ab, 2ac, 2ba, 2bb, 2bc, 2ca, 2cb, 2cc,
6aa, 6ab, 6ac, 6ba, 6bb, 6bc, 6ca, 6cb, 6cc.
2ab plate is different from 2ba plate
---
4. Determine the EXACT probability of creating a mini license plate with a R. Give the solution in reduced fraction form.
ANSWER: 2ac, 2bc, 2cc, 2ca, 2cb, 6ac, 6bc, 6cc, 6ca, 6cb
"with a R" means to me one or two R"s in any order.
P(R) = 10/18 = 5/9.

Click here to see answer by Edwin McCravy(8909)

Question 269619: a cement walk of uniform width is built around a 20 foot by 40 foot rectangular pool an the area of the walk is 700 square feet. How wide will the walk be?
Click here to see answer by drk(1908)

Question 269618: a rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width.
This is my attempt to the problem but then I am stuck.
A=lw
216=6(L) * w

Click here to see answer by Earlsdon(6287)

Question 269651: At a point on the ground 80ft from the base of a tree, the distance to the top of the tree is 11ft more than 2 times the height of the tree. Find the height of the tree. (Simplify your answer. Round to the nearest foot as needed.)

Click here to see answer by mananth(12270)

Question 269707: A person is standing on a staircase. He walks down 4 steps, up 3 steps, down 6 steps, up 2 steps,up 9 steps, and down 2 steps. Where is he standing in relation to the step on which he started?
(A) 2 steps above (B) 1 step above (C) The same place (D) 1 step below (E) None of these.

Click here to see answer by mananth(12270)

Question 269725: how much of an alloy that is 10% copper should be mixed with 500 ounces of an alloy that is 70% copper in order to get an alloy that is 20% copper?
Click here to see answer by josmiceli(9680)

Question 269822: Please help me solve the following word problem: A picture frame measures 12 centimeters by 20 centimeters. 48 cm^2 of the picture shows inside the frame. Find the length and width of the inside of the frame.
Click here to see answer by drk(1908)

Question 269797: A tree casts a shadow 21 m long. At the same time, the shadow cast by a 46-cm tall statue is 69 cm long. Find the height of the tree. Round results to the nearest unit
Click here to see answer by checkley77(12569)

Question 269971: Three individuals form a partnership and agree to divide the profits equally. X invests
$9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less
does x receive compared to having the profits divided in proportion to the amounts
invested by X, Y, and Z?
Click here to see answer by stanbon(57348)

Question 269967: A church steeple casts a shadow 115 ft. long and at the same time a 9.0 ft post casts a shadow 7.0 ft long. How high is the steeple? round to the nearest unit.
Click here to see answer by rfer(12660)

Question 269956: What percent would be received on a score of 27/89 rounded to the nearest hundredths place?
Click here to see answer by rfer(12660)

Question 269953: What is the value of "score" in "four score and seven years ago?"
Click here to see answer by rfer(12660)

Question 270007: If 1.0000 US Dollars is equivalent to 0.008626 Japanese Yen. Use a proportion to convert 250 US dollars to the equivalent amount of Japanese Yen currency.
Click here to see answer by josmiceli(9680)

Question 270194: You are taking a course that has 4 tests. The first 3 tests are 100 points each and the fourth test is 200 points. To get an A in the course, you must have an average of at least 90% on the four tests. Your scores on the first three tests were 87,92,and 84. What must you score on the 4th test to get an A for the course?
Click here to see answer by drk(1908)

Question 270217: c=30t+20
90=30t+20
70=30t
t=2 1/3
Cost for 7 month
c=20+(30x7)
c=20+210
c=$230
Click here to see answer by stickkens(2)

Question 270278: The sum of two numbers is 95. One of the numbers is 17 more then the other. What are the numbers?
Click here to see answer by lil-man(10)

Question 270274: a canoe and a motor boat travel towards each other from a distance of 70 miles. The motor boat moves 12 miles per hour faster that tha canoe. The two boats pass after 2.5 hours. How fast does each boat move?
Click here to see answer by lil-man(10)

Question 270339: I am a multiple of 9 and less than 100. The product of my digits is 20. What two numbers might I be?
Click here to see answer by Stitch(352)

Question 270277: An investment portfolio of stocks and bonds, with an initial investment of $120,000 gained $30,800 over its life. If the stocks gained 32% and the bonds gained 16%, how much was invested in each?
Click here to see answer by checkley77(12569)

Question 270409: The difference in cost between a large bag of chips and a small bag of chips was 90¢. Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a small bag of chips?
Click here to see answer by Greenfinch(383)

Question 270656: In a lighthouse, the light beam rotates once every minute to scan the area of land and ocean. If the land covers the angle of 150 degrees, how many seconds will it take to cover the area of ocean.
Click here to see answer by Greenfinch(383)

Question 270704: There were 200 tickets sold for Mr. Rustin. Tickets were $1.50 for students and $3.00 for adults. The total amount collected was $495. How many of each type of ticket were sold?
(Here is what I tried:)
Variables:
s= student tickets
a=adult tickets
$1.50s+$3.00a=$495
s+a=$200
I tried using the method of substitution but I can't seem to get to any solution. Could you please help me with this one?

Click here to see answer by Alan3354(30993)

Question 270719: The admission fee for Knoebels amusement park is $5 for children and $9 for adults. On a certain day, 450 people enter the park and the admission fees collected totaled $3,050. How many children and how many adults were admitted?
(Here's what I tried):
Variables:
c= Child admission
a= Adult admission
c+a=450
$5c+$9a=$3,050
changed c+a=450 to c=450-a
substitution:
$5(450-a)+$9a=$3,050
Not sure if my equations are right. Based off of how I solved a similiar problem. And I don't know how to simplify from there.
Could you please tell me if I'm on the right track and if so, how to solve from where I stopped?
Click here to see answer by dabanfield(803)

Question 270741: You have 14 yards of cloth to make graduation gowns for children in the children’s school. Each gown takes exactly 1 ½ yards. How many gowns can you make
Click here to see answer by JBarnum(2044)

Question 270807: The following table shows the amount of polonium in milligrams remaining after x days from an original sample of 2 milligrams.
x(days) 0 100 200 300
y milligrams 2 1.22 0.743 0.453
a. is the half life pf te polonium less than 200 days?
b. give a general formula thatr can be used to approximate the amount A of polonium after x days.
c. what is the half-life of the polonium? GRaph A(x) and show th epoint that would show the half-life for x=2 milligrams.
Click here to see answer by ankor@dixie-net.com(15652)

Question 270820: In a small nursery, Becky can water all the plants in 30 minutes. Her co-worker, Karen, can water all the plants in 20 minutes. How long will it take them working together to water the plants?
Click here to see answer by checkley77(12569)

Question 271091: I need help with this problem.
A ball is thrown from the top of a roof 320 feet above the ground. The formula h=-16t^2 + 32t + 320 describes the height of the ball above the ground, h, in feet, t seconds after the fall begins. I need to find the maximum height of the ball, as measured from the ground. The path of the ball is a parabola and I need to consider the vertex.
Click here to see answer by scott8148(6628)

Question 271135: m : n = 1 : 4, n : p = 4 : 5. If p =1000, find m.
Click here to see answer by Greenfinch(383)

Question 271140: Pat ate a total of 100 peanuts over a period of 5 days. Each day she ate 6 more peanuts than on the previous day. How many peanuts did Pat ate at the first day?
Click here to see answer by Greenfinch(383)

Question 271128: My son is in Honors Algebra in the 8th grade. I'm trying to help him figure this problem out but can't seem to get it. Please help.
If Alex gives Bobby $4, then Alex would have half as much money as Bobby. If Bobby gives Chris $7, then Chris would have $35 more than Bobby. If Chris gives Alex $17, then Alex would have $1 more than Chris.
How many dollars does each person have?
Thanks for your assistance.
Sincerely,
Will Schultz
Click here to see answer by Theo(3464)

Question 271161: In a clock, what is the small angle Between the hour hand and minute hand at 10:30?
(A) 135 degrees (B) 120 degrees (c) 105 degrees (D) 100 degrees (E) 95 degrees
Click here to see answer by josmiceli(9680)

Question 271214: One number is four more than a second number. Two times the first number is 10 more that four times the second number.
Click here to see answer by Stitch(352)

Question 271296: x^2+2x-48=0
Click here to see answer by LarissaRichardson(34)

Question 271397: Jane has $5. Her mother has $3,675. How many times as much money does Jane's mother have than Jane.
Click here to see answer by Stitch(352)

Question 271664: Which statement is not true ?
(A)A square is a parallelogram.
(B)A rhombus is a parallelogram
(C)A rectangle is a parallelogram.
(D)A trapezoid is a parallelogram.
(E)A square is a rectangle

Click here to see answer by richwmiller(9135)

Question 271663: Every hour, Jennifer can sew 24dresses while her mother can sew only 20 dresses. how long will it take them to sew 110 dresses together ?
A 1.5 hour b 1.8 hour c 2 hour d 2.2 hour e 2.5 hour

Click here to see answer by stanbon(57348)

Question 271682: If m, n, and k are to be assigned different values from the list above, how many different values will be possible for the expression(m + n)^k ?
(A) Three
(B) Four
(C) Five
(D) Eight
(E) Nine
Click here to see answer by Edwin McCravy(8909)

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