Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 572025: Please help! In the following, write an expression in terms of the given variables that represents the indicated quantity:
d. The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 30 seconds. (Hint: The answer should contain q as well as n.)
e. The temperature t hour ago if the present temperature is 40F and each hour it drops by 3F.
f. Pawel’s total earnings after three years if the first year his salary was s dollars, the second year it was $5,000 higher, and the third year it was twice as much as the first year.
g. The sum of three consecutive even whole numbers if the greatest is x.

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Question 572468: Nine times a number is 12 more than 5 times a number
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Question 572613: a softball team hopes to win at least 3 games for every 2 lost during the season if there are 30 games scheduled, how many games will they lose and still achieve there goal?
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Question 573352: Christy has a coin collection of nickels and dimes. She has 28 coins worth $2.25. How many of each coin does Christy have?
I know that .05n + .10D = $2.25
I also know that n+d=28
I can figure out these types of problems in my head, but I can't seem to do it using an algebraic equation.

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Question 574956: the sum of three and three times a number is 60. how do i write the equation?
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Question 575065: Suppose that the sum of the present ages of Tom and his father is 100 years. Ten years ago Tom's father was three times as old as Tom was at that time. Find their present ages.
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Question 575493: If 20 is addes to one-third of a number, the result is the double of the number. What is the number?
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Question 575553: the difference of 25 and the product of 5 and a number y is less than 7
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Question 576129: Three more than the product of five and x yields forty-three
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Question 576553: Four times a number, subtracted from fifteen, is twice the number. Find the number.
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Question 576591: The manger of a farmer's market has 500lb of gain that cost 1.20 per pound. How many pounds of meal costing .80 per pound should be mixed with the 500lb of grain to produce a mixture that cost 1.05 per pound?
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Question 576539: The second of three numbers is 3 times the first. The third is 5 more than the second. If the second is decreased by twice the third. The result is 5. What are the three numbers?
The greater of two numbers is 3 more than the smaller. If twice the smaller is added to the greater, the result is 30. What are the numbers?

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Question 576979: The difference of triple a number and 1/2 is equal to the sum of the number and 2/3. Asked to find the number
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Question 577070: Each month a gas station sells x gallons of gas at $2.99 per gallon. The cost to the owner of the gas station for each gallon of gas is $1.99 and the monthly fixed coast for running the gas station is $27,000. Write the cost function of the number of gallons sold.
I've tried f(c)=2.99x+27000 but get stuck in the cost of the gas station for each gallon. I also wanted to put 2.99(x+1.99)^2+27000 but I'm not sure if it's correct. Please help

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Question 577710: Tickets for a piano concert sold for $4.50 for each adult ticket. Student tickets sold for $2.00 each. the total receipts for 1720 tickets were $5980. Find the number of adult tickets sold.
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Question 577725: A tea that is 20% jasmine is blended with a tea that is 15% jasmine. How many pounds of each tea are used to make 5 lb of tea that is 18% jasmine.
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Question 577726: How many ounces of pure bran flakes must be added to 50 oz of cereal that is 40% bran flakes to produce a mixture that is 50% bran flakes?
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Question 577711: True or false? A 10% salt solution can be combined with some amount of a 20% salt solution to create a 30% salt solution.
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Question 577716: Five gallons of a light green latex paint that is 20% yellow paint are combined with a darker green latex paint that is 40% yellow paint. How many gallons of the darker green paint must be used to create a green paint that is 25% yellow paint?
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Question 577721: A goldsmith mixes 8 oz of a 30% gold alloy with 12 oz of a 25% gold alloy. What is the percent concentration of the resulting alloy?
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Question 579801: A farmer has pigs and chickens. He has 24 legs but 7 heads. How many of each animal does he have? I know it's 5 pigs and 2 chickens but I don't know how to set up the problem to solve it.

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Question 579947: Twice the sum of a number and seven is equal to three times the number, minus three?
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Question 582513: Theresa sold magazine subscriptions with three prices: $12, $13, and $22. She sold 1 fewer of the $12
subscriptions than of the $13 subscriptions and sold a total of 40 subscriptions. If her total sales
amounted to $643, how many $22 subscriptions did Theresa sell?

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Question 583080: Five is subtracted from a certain number and then that result is multiplied by 4 to produce 28.
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Question 584995: The difference of two numbers is 52 and the smaller number is n. What is the other number?
I am supposed to write the expression.

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Question 585166: two planes start at the same time from the same point and fly in opposite directions. the first plane is flying 30 mph faster then the second plane. in 4v hours they are 2880 mi appart find the rate of the faster plane.
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Question 585800: Teanslate into algebraic equation. A student averages 84 on 5 tests. If the student recieved grades of 84, 82, 81, and 79 on the first four exams, what grade did the student recieve on the fith exam?

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Question 586374: Petra is 7 years younger than her brother Ivan. Together, their ages total 43 years. How old is Petra?
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Question 586686: Question 1: Twice the product of 2 consecutive integers.
Question 2: Seven less than twice a number is 9 more than the number.
Question 3: The product of 3 consecutive even integers is eight times the largest number.

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Question 587818: A student completes three assessment tasks and receives marks of 25, 15 and 12. She completes a fourth assessment task and achieves an overall average (mean) of 14.5 for the four tests?
a) Assuming that x is the result she obtained on the fourth assessment task, write the information given as an algebraic equation.

would be a great help

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Question 587985: Good day!
I'm having trouble with this problem pls help me. Thank you!
Each month, John spends 2/5 of his income for food, 1/10 for clothing, 1/4 for housing, 1/20 for utilities, and deposits the remainder in his savings account. If he saves 450 a month, how much is his monthly income?

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Question 588798: how to write 8 less than the product of two numbers

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Question 588901: The sum of two real numbers is -6. Calculate their values if their product is a maximum.

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Question 589535: I'm trying to help my children with this problem, but cannot figure it out. My only conclusion is that the teacher manual is wrong about this problem.
Problem:
Mr. black is three times as old as his son Jerry. Nine years ago he was nine times as old as Jerry.
Answer supose to be:
3X-9=9(x-9)
How do they come to this solution?

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Question 589535: I'm trying to help my children with this problem, but cannot figure it out. My only conclusion is that the teacher manual is wrong about this problem.
Problem:
Mr. black is three times as old as his son Jerry. Nine years ago he was nine times as old as Jerry.
Answer supose to be:
3X-9=9(x-9)
How do they come to this solution?

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Question 589540: Trying to solve this with my children...
Problem:
Mr. Black is three times as old as his son Jerry. Nine years ago he was nine times as old as Jerry.
Solution suppose to be (according to the teacher manual):
3x-9=9(x-9)
I cannot figure out why...
Please help

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Question 590175: a bag of money has 23 more dimes than quarters. Total amt. in bag $28.80
How many quarters are there?

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Question 590881: receipts for a concert attended by 450 people were $2,775. If reserved seat tickets were $7 and general admission tickets were $4. How many of each type of ticket were sold?
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Question 591429: mr rich had a custom built sandbox made forhis young son. In order to personalize it he required that the width be 7 feet less than 3 times his young sons age and the length be 4 feet more than 2 his sons age. the Perimeter has to be his own age of 54 years old. Find the sons age and use it to find the dimensions of the sandbox
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Question 592429: the product of twice a number and five is twice the difference of nine times the number and 1/2. find the number
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Question 592754: find a number so that 4 more than 1/2 the number is 2/3 the number
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Question 592762: An empty truck with driver weights 4350 pounds. It is loaded with feed corn weighing 31 pounds per bushel. Between the farm and the market is a bridge with a 10000 pound weight limit. How many bushels can the truck legally carry?
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Question 592759: A restaurant has fixed costs of $137.50 per day and an average unit cost of $4.75 for each meal served. If a typical meal sells for $6.00 how many meals must the restaurant serve per day to make a profit?
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Question 592764: 1/2x-4=8
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