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

Algebra -> Algebra -> Human-and-algebraic-language -> Questions on Word Problems: Translating English into Algebreze answered by real tutors! (Log On)

Problems, free tutors

Quiz

In Depth

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

Question 154139: Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar. To bake each muffin, the baker need needs 0.4 pound of wheat and 0.16 pound of sugar.
Set up the inequalities representing the baker’s possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar). Then graph to show results.
: Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar. To bake each muffin, the baker need needs 0.4 pound of wheat and 0.16 pound of sugar.
Set up the inequalities representing the baker’s possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar). Then graph to show results.

Click here to see answer by stanbon(17815)

Question 153972: 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?
: 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 checkley77(1586)

Question 153890: West High School's population is 250 studens less than twice the population of East high school. combined they serve 2,858 students. How many students attend West High School: West High School's population is 250 studens less than twice the population of East high school. combined they serve 2,858 students. How many students attend West High School
Click here to see answer by orca(219)

Question 153690: If x = 1 and x = -8 then form a quadratic equation.: If x = 1 and x = -8 then form a quadratic equation.
Click here to see answer by jim_thompson5910(8205)

Question 153689: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is 3 times it's width; if the area of the garden is 75 square meters, what are it's dimensions?: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is 3 times it's width; if the area of the garden is 75 square meters, what are it's dimensions?
Click here to see answer by checkley77(1586)

Question 153517: 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. : 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 ankor@dixie-net.com(3900)

Question 153551: I'm really stuck on this particular question, which is:
A girl buys three apples and seven oranges for $4.56 .If an orange costs $0.28 more than an apple, how much does each fruit cost?: I'm really stuck on this particular question, which is:
A girl buys three apples and seven oranges for $4.56 .If an orange costs $0.28 more than an apple, how much does each fruit cost?
Click here to see answer by Alan3354(494)

Question 153515: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet? : A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
Click here to see answer by ankor@dixie-net.com(3900)

Question 153326: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%?: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of $770 in interest. How much was invested at 8%?
Click here to see answer by ankor@dixie-net.com(3900)

Question 153324: 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?: 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 mangopeeler07(423)

Question 153325: An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.
: An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.

Click here to see answer by stanbon(17815)

Question 152922: A new virus is released on the internet; the administrator of a department's Local Area Network (LAN) is given 5 minutes by a manager to estimate the impact. The administrator samples 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.: A new virus is released on the internet; the administrator of a department's Local Area Network (LAN) is given 5 minutes by a manager to estimate the impact. The administrator samples 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.
Click here to see answer by jojo14344(326)

Question 152920: Translate the following into a system of equations, then solve it: A customer walks into an electronics store and buys 5 MP3 players and 8 sets of headphones, paying $840. A 2nd customer buys 3 MP3 players and 4 sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost?: Translate the following into a system of equations, then solve it: A customer walks into an electronics store and buys 5 MP3 players and 8 sets of headphones, paying $840. A 2nd customer buys 3 MP3 players and 4 sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost?
Click here to see answer by checkley77(1586)

Question 152921: A lawyer bills her clients $200 per hour of service. If a client's case requires 39 house to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).: A lawyer bills her clients $200 per hour of service. If a client's case requires 39 house to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).
Click here to see answer by checkley77(1586)

Question 152935: The length of a rectangle is 5m greater than the width.
The perimeter is 150m. find the width and length.: The length of a rectangle is 5m greater than the width.
The perimeter is 150m. find the width and length.
Click here to see answer by orca(219)

Question 152653: Complete the square and write the equation in standard form. Then give the center and radius of the circle.
x2 + y2 - 2x - 4y - 4 = 0
: Complete the square and write the equation in standard form. Then give the center and radius of the circle.
x2 + y2 - 2x - 4y - 4 = 0

Click here to see answer by mducky2(55)

Question 152497: b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally. : b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
Click here to see answer by jojo14344(326)

Question 152498: Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.: Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.
Click here to see answer by mangopeeler07(423)

Question 152304: Billy's father is twice billy's age. Eleven years ago, Billy's father was 3 times Billy's age. How old is Billy: Billy's father is twice billy's age. Eleven years ago, Billy's father was 3 times Billy's age. How old is Billy
Click here to see answer by munisa(3)

Question 152087This question is from textbook
: Hi
I am having some trouble with this one and hope you can help.
In an attempt to conceal his true age, an actor states his birth year as follows. He claims that if 237 is subtracted from his birth year divided by 3, and if this number is now divided by 5, then the result is 83. In what year was the actor born? Here is what I have so far X-237/3 divided by 5 = 83
I don't know who to proceed to the answer.
Thank you.This question is from textbook
: Hi
I am having some trouble with this one and hope you can help.
In an attempt to conceal his true age, an actor states his birth year as follows. He claims that if 237 is subtracted from his birth year divided by 3, and if this number is now divided by 5, then the result is 83. In what year was the actor born? Here is what I have so far X-237/3 divided by 5 = 83
I don't know who to proceed to the answer.
Thank you.
Click here to see answer by nerdybill(419)

Question 151994: Hello,
I just began 9th grade, and tonight I received an assignment on quite a few of some word problems where I need to "Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given."
I've had much frustration and trouble with this... Here's *one of* the questions that I'm having trouble with
"The height of a flagpole is three fourths the height of the school. The difference in their heights is 4.5 m. What is the height of my school? Choices for school's height: 18,20,24."
My teacher wants me to do the four-step box way of showing and solving the equation. Such as:
1... Let s= School's height
Let (3/4)s= Flagpole's height
2...
3... (Solving the equation, showing work)
4... *solution*= School's height
*other solution*= Flagpole's Height
Thanks. I really need to complete this homework tonight, would appreciate your help please explain to me how to do this!
Thank you!: Hello,
I just began 9th grade, and tonight I received an assignment on quite a few of some word problems where I need to "Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given."
I've had much frustration and trouble with this... Here's *one of* the questions that I'm having trouble with
"The height of a flagpole is three fourths the height of the school. The difference in their heights is 4.5 m. What is the height of my school? Choices for school's height: 18,20,24."
My teacher wants me to do the four-step box way of showing and solving the equation. Such as:
1... Let s= School's height
Let (3/4)s= Flagpole's height
2...
3... (Solving the equation, showing work)
4... *solution*= School's height
*other solution*= Flagpole's Height
Thanks. I really need to complete this homework tonight, would appreciate your help please explain to me how to do this!
Thank you!
Click here to see answer by Earlsdon(3472)

Question 151675: five times the diffrence of a number and one yields the same result as twice the same number increase by three: 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(219)

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?: 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 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?: 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(1586)

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?: 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 vleith(954)

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?: 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(423)

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?: 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(1848)

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? : 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(954)

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?: 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(419)

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? : 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(419)

Question 148699This question is from textbook Beginning and Intermediate Algebra
: 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!This question is from textbook Beginning and Intermediate Algebra
: 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(1170)

Question 148592: A man walks 10 miles in x hours. How far does he walk in one hour?: A man walks 10 miles in x hours. How far does he walk in one hour?
Click here to see answer by nabla(371)

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. : 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 orca(219)

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. : 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 scott8148(2448)

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: 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(954)

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? : 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 ptaylor(1170)

Question 147075This question is from textbook Blitzer Intermediate Algebra
: 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?This question is from textbook Blitzer Intermediate Algebra
: 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 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.: 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(17815)

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: 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 stanbon(17815)