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

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Tutors Answer Your Questions about Evaluation Word Problems (FREE)


Question 206657: I would greatly appreciate if someome could help me with this word problem and show the work. I want to see how the equation is written and solved. Thanks!
World Records in the 1500-m Run. The formula R= 0.075t + 3.85 can be used to predict the world record in the 1500-m run t years after 1930. Determine (in terms of an inequality) those years for which the world record will be less than 3.5 min.

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Question 206773: In electrical theory, Ohm's law states that I=V/ R, where I is the current in amperes, V is the electromotive force in volts, and R is the resistance in ohms. In a certain circuit V= 110 and R= 50. If V and R are to be changed by the same numerical amount, what change in them will cause I to double?
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Question 207004: Below the cloud base, the air temperature T (in F) at height h (in feet) can be approximated by the equation T= T 0- (5.5/1000) h, where T o is the temperature at ground level.
At what altitude is the temperature freezing?

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Question 207183: A salesman salary is $18,500 per year. In addition the salesman earns 5% commission of the years sales. Last year the salesman earned $25,400. How much was sold that year?
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Question 207940: how much 20% antifreeze solution must be mixed with a 40% antifreeze solution to produce 25 gallons of a 32% disinfectant solution? round to the nearest gallon.
? gallons 20% solution, ? gallons 40% solution

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Question 209214: Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?

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Question 209214: Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?

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Question 209214: Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?

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Question 210036: you drive 1500 miles to California. On the way home, you averaged 10 miles per hour less, and the drive took you 5 extra hours. What was your average speed on the way to California?
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Question 210036: you drive 1500 miles to California. On the way home, you averaged 10 miles per hour less, and the drive took you 5 extra hours. What was your average speed on the way to California?
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Question 210889: Brian is trying to decide what type of cake to bake his mother for her birthday. Based on her preferences, he knows she will be pleased with any one of four flavors of cake, three colors of frosting, and two kinds of sprinkles. Assuming that Brian only chooses one flavor, one color, and one type of sprinkle, how many different cakes could Brian bake for his mom?
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Question 211118: Exactly, how many solutions does -0.2x²+12x+11 have?
This question does not come from a textbook. It is from a word problem sheet given at Axia College.

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Question 211319: Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 in all. How many red marbles does Pam have?
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Question 212715: The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers?
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Question 212714: While performing a calculation, you divide a number by 5 two times to get the answer 12. You should have divided by 5 only once. What is the correct result of the calculation?
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Question 212713: Maggie bought 176 plants from the nursery, and she wants to plant 9 rows, each having 20 plants. However, after she starts placing the plants, she finds that she does not have enough. By how many did she fall short.
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Question 213158: Given the function f is defined by f(x)= ax^2 + bx + c Given that f(0) = 6, f(-1)= 15, and f(1) = 1, find the values of a, b, and c.
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Question 214393: Liz brought a new television. The price before the 8% tax was added on was 329. How much taz did Liz have to pay?
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Question 214612: Solve the problem. Please show the steps.
1. The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?
C(t)=12e^(-t/5)

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Question 215062: You have two numbers made up of the digits 9, 8, 7, 5, 3, where each digit is used only once. One of the numbers has 3 digits and the other has 2 digits. What is the greatest product you can get and what are the corresponding numbers?
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Question 216152: what is two different phrases for r+12
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Question 216262: How much pure iodine must be added to 250 mL of 8% iodine solution to get a 20% iodine solution?
Please help me, I am confused on how to do this.

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Question 216266: The total value or the $5 bills and $10 bills in a cash box is $410. There are eight more $10 bills than $5 bills. How many of each are there?
Everything I tried, failed. Please help me!

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Question 216258: Traveling upstream on the Mississippi River, a barge travels 56 miles in 7 hours. Downstream, it travels the same distance in 4 hours. Find the rate of the barge in still water and the rate of the current.
I am totally lost on how to do you. Would you please help me?

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Question 217804: The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total Ticket sales were $1050. How many tickets of each type were sold?
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Question 218440: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. what is the number?
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Question 219046: I cant make the equation. The perimeter of an isosceles triangle is 36 cm, and the area is 50 cm squared. The length of the base is 3 cm less than the length of a leg. Find the length of each side.
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Question 219816: Need Help Please
There are 5 tennis players in a tournament. Of each tennis player plays every other player once, how many games will be played?

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Question 219816: Need Help Please
There are 5 tennis players in a tournament. Of each tennis player plays every other player once, how many games will be played?

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Question 220990: The sum of two numbers is 56. The larger exceeds twice the smaller by 2. Find the numbers.
I already tried x+2+2y = 56 with the substitution of x= 56-y

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Question 220990: The sum of two numbers is 56. The larger exceeds twice the smaller by 2. Find the numbers.
I already tried x+2+2y = 56 with the substitution of x= 56-y

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Question 221299: Find all values of the missing digit that make the statement true. Show or explain why.
214,21_ is divisible by 11.

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Question 222439: The difference between two numbers is twelve. Three times the smaller number is four less than twice the larger number. Find the smaller number.
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Question 223150: Taisha uses the elliptical cross-trainer at the gym. Her general goal is to burn 280 Calories per workout, but she varies by as much as 25 Calories from this amount on any given day. Write and solve an equation to find the maximum and minimum number of Calories Taisha burns on the cross-trainer.
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Question 223634: Have 7 DVDs and CDs, cost of DVD is $14.95, cost of CD is $16.88, total for 7 items is $114.30. How many CDs were bought and how many DVDs were bought?
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Question 224496: Jasmine is helping her father plant trees to create a border around the back yard. Jasmine plants a tree every 25 minutes, and her father plants a tree every 15 minutes. If they started together, howlong before they would finish planting a tree at the same time?
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Question 225598: One number exceeds another number by 32. The sum of the numbers is 82. What are the numbers?
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Question 226264: Each girl in the Smith family has the same number of brothers as she has sisters. Each boy in the Smith family has twice as many sisters as he has brothers. How many girls and boys are there in the Smith family?
I've tried giving a general equation for each (boys and girls), but without a total, I am a little stumped. For example, my initial thoughts on putting the two statements into variables, etc results in:
b = 2b + g (first statement)
g = b + g (second statement)
But I don't think that's the right way to start. Any suggestions?

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Question 226571: Mary has 150 nickles and dimes. She has 70 more nickles than dimes. How many of each does Mary have?
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Question 227778: The perimeter of a rectangle is 106 inches. The length exceeds the width by 45 inches. Find the length and the width.
The length is ____ inches.
(Type an integer or a decimal)

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Question 228351: The sum of 2 numbers is 20. Twice one number is 4 more than 4 times the other. Find the numbers.
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Question 229672: twice the difference of the number and 8 is equal to three times the sum of the number and 3. find the number.
2(x-8)=3x+3
2x-16=3x+3
2x-16-2=3x+3-2
2x+14=3x+1
16/2=4/2
8/2=4
x=4

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Question 230206: A football is kicked vertically upward from a height of 4 feet with an initial speed of 75 ft per second. What is the height of the ball 2 seconds after it was kicked from the ground.
H=4+75t-16t^2

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Question 230510: The sum of two numbers is 18. The difference between four times the smaller number and seven is
equal to the sum of two times the larger number and five. Find the two numbers.

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Question 230709: I would really appreciate any help with this problem. Photo reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail order?
Note: The question is asking for > not =>

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565