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

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Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)


Question 196681: Translate the following problems into algebraic equations. It is not required that you solve the equations; simply translate them. Identify the variables, constants, and coefficients in each equation.
1. What number is 12% of 85?
2. The sum of three consecutive odd numbers is 99; what are the numbers?
3. A woman buys four CDs for $52.92, including 8% sales tax. How much did each CD cost?

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Question 196686: A car's gas tank held x gallons of gas before the trip. The trip consumed three quarters of the gas in the tank, but 10 gallons of gas were added after the trip. How much gas is now in the tank?
Click here to see answer by stanbon(57290) About Me 

Question 196707: In a two-canidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each canidate actually recieve?
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Question 196801: Select any irrational number, and turn it into a rational number by using addition, subtraction, multiplication, division, or exponentiation.
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Question 196800: Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify!
f. 1/6
g. 6i
h. 3-(-9)1/2

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Question 196832: A variable commission scale is normally based on:
1. gross sales
2. A different commission for different levels of sales
3. a fixed level of sales
4. fixed commission rates
5 none of the above

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Question 196821: Patrick is an automobile salesman who receives a salary of $550.00 per week plus a commission of 5 percent on all sales. During a 4 week period he sold $45,500.00 worth of cars. What were Patricks average earnings?
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Question 196814: jim is able to sell a statue for 670.00 which was a 35% profit. How much did the supplies cost him? I am thinking my work sheet is wrong..it tells me the answer is A.$496.30. 65% of 670=435.50 ??right and 35% of 670.00 is 234.50? Please help.
Click here to see answer by Mathtut(3670) About Me 
Question 196814: jim is able to sell a statue for 670.00 which was a 35% profit. How much did the supplies cost him? I am thinking my work sheet is wrong..it tells me the answer is A.$496.30. 65% of 670=435.50 ??right and 35% of 670.00 is 234.50? Please help.
Click here to see answer by stanbon(57290) About Me 

Question 196852: Jhon is 16 years older than his youngest sister, Linda.Together, their ages total 36 years.How old is each person?
Click here to see answer by ankor@dixie-net.com(15646) About Me 

Question 196868: 1. Use inductive reasoning to determine the next three numbers in the pattern:
  
__1__          ___1__         _1___ 
  3              9             27 


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Question 196872: Estimate 3004 x 5982
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Question 196871: Car dealer (A) will rent a compact car for $40 per day and an additional charge of $0.20 per mile. Car dealer (B) will charge only $0.16 per mile but charges $51 per day. If Adam wanted to rent a car for four days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Click here to see answer by ankor@dixie-net.com(15646) About Me 
Question 196871: Car dealer (A) will rent a compact car for $40 per day and an additional charge of $0.20 per mile. Car dealer (B) will charge only $0.16 per mile but charges $51 per day. If Adam wanted to rent a car for four days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Click here to see answer by Mathtut(3670) About Me 

Question 196919:
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Question 196869: A small area in front of a building is triangular in shape. The perimeter of the triangle is 49 meters. The second side is one-fourth of the first side in length. The third side is 4 meters more than the first side. Find the length in meters of each side of the triangular region.
Click here to see answer by RAY100(1637) About Me 

Question 196986: If an employee worked a total of 33 1/2 hours over five days, what was the average amount of time that the employee worked each day?
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Question 196990: The Pacific Standard Time (PST) in Los Angeles is 3 hours earlier than the Eastern Standard Time (EST) in New York. A plane leaves Los Angeles at 5:30 P.M. PST and arrives in New York City at 12:45 A.M. EST. How long did the flight take?
Click here to see answer by ambi123(2) About Me 

Question 197070: A camera & case costs $310.00. The Camera costs $300 more than the case and the case costs the price of the set minus the cost of the camera. you want to buy the case only. how much change would you get back from $100
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Question 196982: In 2000, the population of Town A was 9,400 and the population of Town B was 7,600. Since then, each year the population of Town A has decreased by 100 and the population of Town B has increased by 100. Assuming that in each case the rate continues, in what year will the two populations be equal?
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Question 197068: A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered tp$80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
Click here to see answer by ankor@dixie-net.com(15646) About Me 

Question 197187: If 48 milimeters equals 9 meters how many meters is 44 milimeters?
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Question 197234: Two trains travel at right angles to each other after leaving the same train station at the same time. One hour later they are 100 miles apart. If one travels 20 miles per hour faster than the other, what is the rate of the faster train? I worked it to be 80 mph?
Click here to see answer by Edwin McCravy(8893) About Me 

Question 197003: 1.Solve by substitution or elimination method:
3x – 2y = 26
-7x + 3y = -49
2.Solve by substitution or elimination method:
4x – 5y = 14
-12x + 15y = -42
3.Solve by substitution or elimination method:
-2x + 6y = 1
10x – 30y = -15

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Question 197350:
Could you please help me with this problem?
The intensity (I) of light from a light bulb varies inversely as the square of the distance (d) from the light bulb. Suppose (I) is 250 w/m^2 when the distance is 3m. How much further would it be to a point where the intensity is 160 w/m^2?
Thank you for all your help....

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Question 196870: Kevin invested $7000 for one year. He invested part of it at 8% and the rest at 12%. At the end of the year he earned $764 in interest. How much did he invest at each rate?

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Question 197501: a.Find p(x) + 3q(x)
p(x) = 2x4 + 15x3 – 10x2 + 14
q(x) = 35x4 – 16x2 + x – 11
Will someone help me out with this problem. PLEASE!

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Question 197535: State whether set A and B are equal, equivalent, both, or neither.
A = {9, 8, 7} B = {8, 9, 10}

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Question 197530: Write the following in roster form: Set N is the set of natural numbers between two and nine.
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Question 197603: f(x)= ax^2+ bx+ 5 Find a and b if f(x+1)- f(x)=8x+3
I have never had to do a problem like this so i have no work to show because i dont know how to begin. I really nedd help. Thank you.

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Question 197601: Ron and Ginny each had a certain number of playing marbles. Ron lost a game to Ginny and had to give Ginny half of his marbles. In the second game, Ginny lost and had to give three-fourths of her marbles to Ron, who now had thirty marbles. how many marbles did each have originally if Ron had twice as many marbles as Ginny at the start? Explain and show all work to receive full credit.
I've been trying this problem but i have no work i dont know where to start or how to set up the equation.

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Question 197687: Time in the air. A ball is tossed into the air from a height
of 12 feet at 16 ft/sec. How long does it take to reach the
earth?

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Question 197762: Hi, I am having trouble figuring out this problem. Would someone please help me figure out the formula? Thank you.
The height in feet for a ball thrown upward at 48 feet per
second is given by s(t)=-16t^2+48t, where t is the time
in seconds after the ball is tossed. What is the maximum
height that the ball will reach?
Equation of motion of the ball is s%28t%29=+-16t%5E%282%29+%2B+48t
It is the equation of a parabola.
So the maximum height will be at its vertex.
Vertex = (%28-b%2F2a%29,%28s%28-b%2F2a%29%29)
f%28t%29=ax%5E2%2Bbx%2Bc-------(1)
s%28t%29=-16t%5E2%2B48t--------(2)
Comparing (1) and (2)
a=-16
b=48
-b%2F2a=-48%2F%282%2A-16%29= 1.5
s%281.5%29=-16%281.5%29%5E2%2B48%281.5%29=36
So the maximum height the ball will reach is 36 feet

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Question 197902: Given A = {1, 2, 3, 4}, B = {3, 4, 5, 6,}, and C = {4, 6, 7}. Evaluate each set Need to do
a) A ∩ B
b) A ∩ C
c) A U C
d) B U C
e) (A U B) ∩ C
f) A U (B U C)
g) (A ∩ B) ∩ C
h) (A ∩ B) U C

Can someone please help me I am so lost...

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Question 197957: respected sir & teacher,
1] A forty gallons of gas is required to travel 400 miles using a 1200 CC engine. If the capacity of the engine is directly varying with the volume of gas, then how many gallons of gas required to travel 600 miles using 1500 CC engine ?

plz solve my doubt...waiting for yurs reply.
thank u.

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Question 197962: Believe it or not, if you eat a Burger King hamburger with large fries, you will also get 820 calories. However, if you double the calories in the burger, you will have 140 more calories than are in the fries. How many calories are in each?
Please help!!
Thanks,
Kathyp68

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Question 198028: Section 7.7 Applications using rational equations and proportions.
Problem #16) A pool can be filled by one pipe in 3 hours and by a second pipe in 6 hours. How long will it take using both pipes to fill the pool.

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Question 198066: How many years does Steven need to invest his $3,000 at 7% to earn $210 in simple interest?

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Question 198067: If 45 is 120% of a number, what is 80% of the same number?

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Question 198069: If 45 is 120% of a number, what is 80% of the same number?
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Question 198039: A bacteria culture grows continuously from 150,000 to 350,000 bacteria in 6 hours. At this rate, how long will it take for the population to grow from 150,000 to 1,000,000 bacteria?
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Question 198065: A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?

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Question 198085: A box has a square bottom and top is 5 cm high. Find its volume if its total surface area is 192 cmē.
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Question 198068: Jim works for $15.50 per hour for a health care facility. He is supposed to get a 75 cent per hour raise at one year of service. What will his percent increase in hourly pay be?
Click here to see answer by edjones(7569) About Me 

Question 198087: A 50 m by 120 m park consists of a rectangular lawn surrounded by a path of uniform width. Find the dimensions of the lawn if its area is the same as the area of the path. (Hint: Let x = the width of path)
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