Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 360092: the sum of two numbers is 57. If the larger number is increased by 3 it is equal 4 times the smaller number
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Question 360092: the sum of two numbers is 57. If the larger number is increased by 3 it is equal 4 times the smaller number
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Question 360815: Rachel is t years old. How old will she be in 12 years?

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Question 362283: On the first of three tests, Charlotte scored 72 points. On the third test, her score was one point more than on her second test. Her average on the three tests were 83. What were her scores on the second and third tests?
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Question 362368: hello i was wondering if anyone could help me with this word problem that i have been struggling with. it reads: find two whole numbers whose product is 15 such that one of the numbers is seven more than four times the other number. thank you for your time, it is greatly appreciated.
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Question 362995: Students can buy tickets to a basketball game for $1. The admission for nonstudents is $2. If 350 tickets are sold and the total receipts are $450, how many student tickets are sold?
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Question 363881: A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 13 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 23 fewer deluxe staterooms than four times the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for three ships is 752.
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Question 364956: how to get this definite integral, i need the steps not just the answer
integral(limits from 0 to 1) {x*exp(x)/(1+x^2)} dx

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Question 365180: The width of a rectangle is 3 yards less than its length .The perimeter is 130 yards .Find the length and the width of the rectangle.

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Question 365171: Hello, I stumbled on a Algebra problem in my Algebra Problem book today.
The problem is:
Joe thought of two numbers, their sum was 20 and the sum of their squares was 300. What is their product?
I am guessing you have to find all the sums of 20 first?
But the "sum of their squares is 300" part is confusing me.
Is it the two numbers, squared, and the squares then added to receive 300?
WOuld the numbers be negative?
Help would be appreciated, these are the kinds of algebra problems I will require to know for the upcoming quiz.

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Question 365939: How long will it take for the population of a certain country to triple if its annual growth rate is 3.6%? Round to the nearest year.
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Question 365938: Randy invested his inheritance in an account that paid 6.3% interest,
compounded continuously. After 6 years, he found that he now had $48,541.33
What was the original amount of his inheritance?

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Question 365941: Find the logarithm using the change-of-base formula.
log100 20

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Question 365992: A tank can be filled in 4 days using pipe A alone, and in 3 days using both A and B. How many days will take to pipe B to fill the tank?
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Question 366442: Find an equation of variation for the given situation.
y varies inversely as the square of x, and y = 7 when x = 3

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Question 366434: Sove the logarithmic equation.
ln(x+1)-ln(x-2)=ln5

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Question 366635: Use given information to write a system of equations; then, solve the system. Be sure to clearly identify all unknowns in the equation.
An auto mechanic student needs 25 gallons of a 21% antifreeze solution. She has available a 40% solution and a 15% solution. How much of each solution should she use to end up with 21% solution?

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Question 365936: The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 13 miles per gallon at 52 mph. How many miles per gallon will it get at 54 mph?
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Question 367652: a store mixes kenyan coffee worth $11 per kilogram and venezuelan coffee worth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 252-kilogram mixture.
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Question 367652: a store mixes kenyan coffee worth $11 per kilogram and venezuelan coffee worth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 252-kilogram mixture.
Click here to see answer by mananth(16946) About Me 

Question 367611: Jade's mum buys a pack of 8 kiwi fruit for $1.92.Individual kiwi fruit cost 30p each.How much cheaper is each kiwi fruit by buying in a pack?
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Question 369959: the circus came to town and one hundred people attended. the admission receipts came to $100. tickets are 5 dollars per man, 2 dollars per woman, and 10 cents per child. how many men,woman, and children attended
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Question 369861: in order to achieve maximum results from aerobic excercise, one should maintain one's heart rate at a certain level. A 25 year old woman with a resting heart rate of 65 beats per minute should keep her heart rate between 143 and 169 beats per minute while exercising. She checks her pulse for 10 sec while excercising. What should the number of beats be
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Question 370491: A woodworking shop makes tables and chairs. To make a chair, 8 min is needed on the lathe and 8 min is needed on the sander. To make a table, 8 min is needed on the lathe and 20 min is needed on the sander. The lather operator works 6h/day and the sander operator works 7h/day. How many chairs and tables can they make in one day working at this capacity?
I'm having difficulty setting up the two equations for this question. I'm required to set up equations and solve them using either substitution method or elimination method.

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Question 371710: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x + 10y = -34
16x – 5y = -43


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Question 371710: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x + 10y = -34
16x – 5y = -43


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Question 371913: Evlauate:
P(5,0)
Evlauate the expression
C(8,3)
Evaluate:
-5!
Evaluate:
5!-2!

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Question 372014: find the slope of the line containing the points (-2,1) and (3,-5)
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Question 372127: what is the greatest common factor of -120x to the second power

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Question 371868: A chemist needs to mix a 50% acid solution with a 80% acid solution to obtain 100 milliliters of a 68% acid solution. Ho many milliliters of each of the solutions must be used.
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Question 372543: if the square of a number is decreased by 15, the result is equal to the number increased by 15. what is the number?
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Question 372661: Park rangers catch, tag and then release 140 elk back into a National Park. One month later they're able to round up 130 elk, and find that 91 of them have been tagged. Assuming the ratio of tagged elk to the total in the same that was rounded up is the same as the ratio of all tagged elk to the population in the park, how many elk are the park?
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Question 373291: if i multiply the number by 4 and then add 5, i get the same answer as when i double the number and then add 8
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Question 373455: can you solve this
pauls flag has a perimeter of 28 feet. find the dimensions of the flag if the length is 4 feet less than twice its width

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Question 374055: Is –7 a solution to the equation 10 – 3x = 31?
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Question 374183: "One number is four times another number. The greater of the two numbers is 20 less than three times the difference between the two numbers. Find the numbers." There are two possible answers. Do these equations make sense: 4a=b and b-20=3(b-a)?
Click here to see answer by mananth(16946) About Me 

Question 374254: Water is leaking from a tank at a constant rate of 20% per hour. If yn denotes the amount of water at the beginning of the hour, in how many hours would Yn ≤ y1/10?
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Question 374745: bill bought 4 tennis balls and 3 golf balls for a total of $10.25. Brett went into the same store and bought 2 tennis balls and 5 golf balls for a total of $11.25. What was the price for a tennis ball and what was the price for a golf ball?
Click here to see answer by Fombitz(32388) About Me 

Question 374881: I am really struggling in math right now. I am working on word problems for linear systems, and Unfortunately I don't have a clue what to do, so i need some answers from you, to look them over and examine them to get a clue of what i'm trying to do.
1. Find the equation of the line that passes through the point of intersection of -2x + 4y = 14 and 5x - 3y = -14 and is perpendicular to 2x - 3y + 6 = 0.

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Question 375181: you split 1500 between two savings accounts. account A pays 5% intrest and account B pays 4% annual intrest. after one year you have earned a total of 69.50 in intrest. what would be the two equations?
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Question 375687: Find a number which decreased by 18 is 5 times its opposite. show your equation.
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Question 375686: Tom's father is 3 times old as Tom. 4 years ago, he was 4 times older. How old
is Tom? show your equation.

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Question 375685: If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $070, how
much does each apple and each orange cost? show your equation.

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Question 375683: If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $070, how
much does each apple and each orange cost?

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Question 375992: How man L of a 10% saline solution must be added to 40 L of a 20% saline solution to obtain a 14% saline solution?
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