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

Tutors Answer Your Questions about Human-and-algebraic-language (FREE)

Question 143536: Problem: Forensics. A forensic scientist uses the expression 72.6+2.5t to estimate the height in centimeters of a female with a tibia of length T centimeters. If a female skeleton has a tibia of length 32.4 cm, then what was the height of the person?

Click here to see answer by solver91311(17077)

Question 143654: Say I collect gold coins. One day, my wife asks, ‘How many do we have?’ I say, ‘If I divide the coins into two groups, then 33 times the difference between the number of coins in each group equals the difference between the squares of the two numbers.’ How many coins do we have?“

Click here to see answer by josmiceli(9817)

Question 143866: no less than $6,000 and no more than 10,000
Click here to see answer by jim_thompson5910(28717)

Question 144579: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by shahid(44)

Question 144581: A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Click here to see answer by ankor@dixie-net.com(15746)

Question 144580: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Click here to see answer by josmiceli(9817)

Question 145145: Ideal waist size. According to Dr. Aaron R. Folsom of the University of Minnesota School of Public Health, you maximum ideal waist size is directly proportional to your hip size. For a woman with 40-inch hips, the maximum ideal waist size is 32 inches. What is the maximum ideal waist size for a woman with 35-inch hips?
Click here to see answer by stanbon(57982)

Question 145144: Gas Laws. The volume of gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square centimeter?
Click here to see answer by stanbon(57982)

Question 145143: Basal energy requirement. The basal energy requirement B is the number of calories a person needs to maintain the life process. For a 28-year-old female with a height of 160 centimeters and a weight of 45 kilograms (kg), B is 1300 calories. If her weight increases to 50kg, then b is 1365 calories. There is a linear equation that expresses B in terms of her weight w. Find the equation and find the basal energy requirement if her weight is 53.2 kg.
Click here to see answer by stanbon(57982)

Question 143063: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
Click here to see answer by Alan3354(31537)

Question 145572: Books and magazines. At Gwen’s garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?
Click here to see answer by checkley77(12569)

Question 145573: Free Market. The function S=5000+200x and D= 9500-100x express the supply S and the Demand D, respectively, for a popular compact disc brand as a function if its price x (in dollars).
a)Graph the functions on the same coordinate system
b)What happens to the supply as the price increases?
c)What happens to the demand as the price increases?
d)The price at which supply and demand are equal is called the equilibrium price. What is the equilibrium price?

Click here to see answer by solver91311(17077)

Question 145773: You place $10,000 into two bank accounts. One of the accounts pays 2% and the other pays 3%. After one year you earned $250 in interest. How much money did you have in each account?
Click here to see answer by ankor@dixie-net.com(15746)

Question 145800: What is the formula for S= C^1-r for r
Click here to see answer by solver91311(17077)

Question 145799: The length of a retangular pool is 6 meters less than twice the width. If the pools perimeter is 126 meters, what are its dimensions?
Click here to see answer by checkley77(12569)

Question 145889: 1. An animal feed is made from three ingredients: corn, soybeans, and cottonseed. One unit of each ingredient provides units of protein, fat, and fiber, as shown below:
Each unit of corn provides .25 units of protein, .4 units of fat, and .3 units of fiber.
Each unit of soybeans provides .4 units of protein, .2 units of fat, and .2 units of fiber.
Each unit of cottonseed provides .2 units of protein, .3 units of fat, and .1 units of fiber.
How many units of each ingredient should be used to make a feed that contains 22 units of protein, 28 units of fat, and 18 units of fiber?

Click here to see answer by ankor@dixie-net.com(15746)

Question 145874: A farmer has 1000 acres of land on which he plans to grow corn, wheat, and soybeans. The cost of cultivating these crops is $28 per acre for corn, $40 per acre for wheat, and $32 per acre for soybeans. If the farmer wishes to use all his available land and his entire budget of $30,000, and if he wishes to plant the same number of acres of corn as wheat and soybeans combined, how many acres of each crop can he grow?
Click here to see answer by ankor@dixie-net.com(15746)

Question 146069: Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.45.
If the monthly bill for 19 HCF is $ 21.07 , what is the monthly bill for 25 HCF?
Click here to see answer by stanbon(57982)

Question 146171: I cannot figure out how to set up and solve this word problem. PLEASE HELP!!!!
Here is goes:
"One half of a number is 3 more than the same number. What is the number? Please show the set up/simplifying/solving of this problem. This is the only one of 25 that has me stumped.
THANKS!!,
Jeff
Click here to see answer by nerdybill(7009)

Question 146180: I am trying to convert these words into an equation:
Find three consecutive odd integers such that the sum of three times the first and twice the second is 26 more than three times the third ?
Can you please help?
Thank you.
Click here to see answer by stanbon(57982)

Question 147075: According to one mathematical model, the average life expectancy for American men born in 1900 was 55 years. Life expectancy has increased by about 0.2 years for each birth year after 1900. If this trend continues, for which birth year will the average life expectancy be 91 years?
Click here to see answer by Monarch(4)

Question 147633: Suppose you have 12 coins that total 32 cents. Some of the coins are nickels and the rest are pennies. How many of each coin do you have?
Click here to see answer by vleith(2825)

Question 147852: Hank and Sally went shopping for school supplies at the local discount store. Hank realized that the price of two pencils was the same as a blue pen. When checking out, Sally paid $15 for the ten pencils and five pens for Hank and her. What was the price for one pen and the price for one pencil?
My Work so far:
2p = 1b (p=pencil; b=blue pen)
15= 10p + 5b
Click here to see answer by vleith(2825)

Question 148046: It takes Johnny 4 hours to mow the lawn. It takes Rebecca 3 hours to mow the same lawn. How long would it take if they worked together?
I cannot figure out the formula to use to determine this. I keep trying to make 4 and 3 hours equal 1 (lawn). Just not sure where to begin. If I had the formula... thank-you.
Click here to see answer by checkley77(12569)

Question 148047: The number of non-business bankruptcies has increased over the years. In 2002, the number of non-business bankruptcies was 80,000 less than twice the number in 1994. If the total of non-business bankruptcies for these two years is 2,290,000 find the number of non-business bankruptcies for each year.
Click here to see answer by edjones(7569)

Question 148592: A man walks 10 miles in x hours. How far does he walk in one hour?
Click here to see answer by nabla(475)

Question 148699: I am supposed to use applications of quadratic equations to solve this problem, I have worked on it about five hours now, and cannot figure it out. So I figure I am not translating the English correctly, could you please show me how to translate this.
The sum of the squares of two consecutive integers is nine less than ten times the sum of the integars. Find all such integers.
What I did says x^2(x+1)^2=10x+9 or I also used 10(x+9)
Please help me, this is making me nuts!
Click here to see answer by ptaylor(2052)

Question 148711: You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?
Click here to see answer by nerdybill(7009)

Question 149698: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar?
Click here to see answer by nerdybill(7009)

Question 149764: Could anyone help me explain set-up of this equation:
A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
Click here to see answer by vleith(2825)

Question 150683: A man invests $10,000.00 in two enterprises. One enterprise yields 8% per year and the other yields 10% per year. If the income from both investments is $940.00 annually, how much did he invest in each enterprise?
Click here to see answer by josmiceli(9817)

Question 150764: Ernest spent a total of $64 for a pair of jeans and a shirt. The jeans cost $6 more than the shirt. What was the cost of the jeans?
Click here to see answer by mangopeeler07(462)

Question 150767: A sponsor for the school yearbook has asked that the length and width of a photo in their ad be increased by the same amount in order to double the area of the photo. If the photo was originally 12cm by 8cm, what should the new dimensions of the enlarged photo be?
Click here to see answer by stanbon(57982)

Question 151094: a motorist travels 632 miles. assuming the car averages 29.3 miles per gallon, how many gallons of gasoline (to the nearest tenth of a gallon) were used?
Click here to see answer by checkley77(12569)

Question 151262: A rabbit needs 300ug/kg (300 micrograms per kilogram) of a 1% ivermectin solution. If the rabbit weighs 8 lb, how many milliliters of ivermectin should be given?
Click here to see answer by joLeeBee(6)

Question 151675: five times the diffrence of a number and one yields the same result as twice the same number increase by three
Click here to see answer by orca(409)

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, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790