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Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 155555This question is from textbook
: betsy recquires $6000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% a year or in a certificate of deposit(CDs) paying 7% per year. how much money should be invested in each to relaize exactly $6000 in interest per year?
This question is from textbook
: betsy recquires $6000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% a year or in a certificate of deposit(CDs) paying 7% per year. how much money should be invested in each to relaize exactly $6000 in interest per year?
Click here to see answer by checkley77(1743)  |
Question 155435This question is from textbook Algebra and Trigonometry
: Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles five hours to do the lawn himself, how long would it take Maya to do the lawn by herself?This question is from textbook Algebra and Trigonometry
: Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles five hours to do the lawn himself, how long would it take Maya to do the lawn by herself?
Click here to see answer by ankor@dixie-net.com(3949) |
Question 155468: I don't understand how to set up this problem nor solve it?
In a family there are two cars. In a given week,the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drives a total of 1825 miles in that one week, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?: I don't understand how to set up this problem nor solve it?
In a family there are two cars. In a given week,the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drives a total of 1825 miles in that one week, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by nerdybill(465) |
Question 155469: This is totally confusing to me, how do you set this up and solve this problem?
Flying agains the jet stream a jet travels 4200 km in 5 hours. flying wih the jetstream, the same jet travels 10620 km in 9 hours. What is the speed of the jet still in the air, and what is the speed of the jet stream?: This is totally confusing to me, how do you set this up and solve this problem?
Flying agains the jet stream a jet travels 4200 km in 5 hours. flying wih the jetstream, the same jet travels 10620 km in 9 hours. What is the speed of the jet still in the air, and what is the speed of the jet stream?
Click here to see answer by nerdybill(465) |
Question 155430: A baseball diamond is a square playing surface, meaning the lines (base paths) are at right angles with
respect to one another. Bases are 27.43 meters (90 feet) apart. Throwing across the diamond, as a
catcher does when trying to throw from home plate to second base, is the longest throw from one base to
another. How long is this distance? ►_____________ meters: A baseball diamond is a square playing surface, meaning the lines (base paths) are at right angles with
respect to one another. Bases are 27.43 meters (90 feet) apart. Throwing across the diamond, as a
catcher does when trying to throw from home plate to second base, is the longest throw from one base to
another. How long is this distance? ►_____________ meters
Click here to see answer by stanbon(18044) |
Question 155358: In 1920, the record for a certain race was 46.8 sec. In 1980, the record was 45.6 sec. Let R(t) + the record in the race and t = the number of years since 1920.
a) find a linear function that fits the data.
b) What is the predicted record for 2003?
c) What is the predicted record for 2006?
In what year will the predicted record be 45.0 sec?: In 1920, the record for a certain race was 46.8 sec. In 1980, the record was 45.6 sec. Let R(t) + the record in the race and t = the number of years since 1920.
a) find a linear function that fits the data.
b) What is the predicted record for 2003?
c) What is the predicted record for 2006?
In what year will the predicted record be 45.0 sec?
Click here to see answer by mangopeeler07(429) |
Question 155341: Find the value for the correlation coefficient r.
x = 5 , 1
y= 5 , 10: Find the value for the correlation coefficient r.
x = 5 , 1
y= 5 , 10
Click here to see answer by stanbon(18044) |
Question 155353: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution?
: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution?
Click here to see answer by stanbon(18044) |
Question 155352: Stella’s Catering is planning a wedding
reception. The bride and groom would like to serve
a nut mixture containing 25% peanuts. Stella has
available mixtures that are either 40% or 10% peanuts.
How much of each type should be mixed to get a 10-lb
mixture that is 25% peanuts?
: Stella’s Catering is planning a wedding
reception. The bride and groom would like to serve
a nut mixture containing 25% peanuts. Stella has
available mixtures that are either 40% or 10% peanuts.
How much of each type should be mixed to get a 10-lb
mixture that is 25% peanuts?
Click here to see answer by stanbon(18044) |
Question 155342: The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probability that a randomly selected employee earns less than $5.43.
0.313 = 31.3%
0.168 = 16.8%
0.436 = 43.6%
0.345 = 34.5%
: The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed. If the standard deviation is $4.58, find the probability that a randomly selected employee earns less than $5.43.
0.313 = 31.3%
0.168 = 16.8%
0.436 = 43.6%
0.345 = 34.5%
Click here to see answer by stanbon(18044) |
Question 155249: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hour slower than the express train. They pass one another 3 hours later. What are their speeds? I think the speed of the freight may be 100km/hr and express would be 130km/hr, using the velocity = distance/time equation, but I am not quite sure of the formula and expression, or the answer for that matter. So if you could please help me I would appreciate it.
Thanks: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hour slower than the express train. They pass one another 3 hours later. What are their speeds? I think the speed of the freight may be 100km/hr and express would be 130km/hr, using the velocity = distance/time equation, but I am not quite sure of the formula and expression, or the answer for that matter. So if you could please help me I would appreciate it.
Thanks
Click here to see answer by ankor@dixie-net.com(3949) |
Question 155268: A car rents for $30 per day plus 18cents per mile. You are on a budget of $75. what mileage would allow you to stay within your budget?: A car rents for $30 per day plus 18cents per mile. You are on a budget of $75. what mileage would allow you to stay within your budget?
Click here to see answer by nerdybill(465) |
Question 155052: The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll. Determine the linear equation that will represent the number of children who will enroll at a given fee.: The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll. Determine the linear equation that will represent the number of children who will enroll at a given fee.
Click here to see answer by ankor@dixie-net.com(3949) |
Question 155203: Can you please help me with this word problem, have not done math in a long time and I'm just stuck:
Solve the problem.
The expression
553.7x + 27,966
can be used to approximate the average annual salary in dollars of public school teachers in the year 1985 + x.
What was the average teacher's salary in 1991?
Round your answer to the nearest whole number.
Average teacher salary in 1991 was $________.
Thank you so much for your help!
Ashley: Can you please help me with this word problem, have not done math in a long time and I'm just stuck:
Solve the problem.
The expression
553.7x + 27,966
can be used to approximate the average annual salary in dollars of public school teachers in the year 1985 + x.
What was the average teacher's salary in 1991?
Round your answer to the nearest whole number.
Average teacher salary in 1991 was $________.
Thank you so much for your help!
Ashley
Click here to see answer by stanbon(18044) |
Question 155027: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAMES ARE PLAYED IN ONE SEASON?: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAMES ARE PLAYED IN ONE SEASON?
Click here to see answer by vleith(967) |
Question 155027: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAMES ARE PLAYED IN ONE SEASON?: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAMES ARE PLAYED IN ONE SEASON?
Click here to see answer by stanbon(18044) |
Question 154460: One hundred sixty eight inches of string were used to make these squares, which are all the same size. What is the total area of the ten squares?: One hundred sixty eight inches of string were used to make these squares, which are all the same size. What is the total area of the ten squares?
Click here to see answer by nerdybill(465) |
Question 154428: cindy charges $6.60 for 5 cartons of fries and 2 sodas and $3.82 for 3 cartons of fries and 1 soda determine the cost of one soda and one carton fries.: cindy charges $6.60 for 5 cartons of fries and 2 sodas and $3.82 for 3 cartons of fries and 1 soda determine the cost of one soda and one carton fries.
Click here to see answer by orca(258) |
Question 154426: samantha charges $27.28 for 14 tacos and 6 buritos and $18.52 for 8 tacos and 6 burritos determine the cost of one burrito and one taco: samantha charges $27.28 for 14 tacos and 6 buritos and $18.52 for 8 tacos and 6 burritos determine the cost of one burrito and one taco
Click here to see answer by nerdybill(465) |
Question 154344: i need help!!! Im stuck on this word problem.
Three Pairs of jeans and six shirts caost $104.25. The cost of 4 jeans and 5 shirts is $112.15. Find the cost of each pair of jeans and each shirt.
: i need help!!! Im stuck on this word problem.
Three Pairs of jeans and six shirts caost $104.25. The cost of 4 jeans and 5 shirts is $112.15. Find the cost of each pair of jeans and each shirt.
Click here to see answer by Alan3354(565) |
Question 154017: 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%.
I believe the answer to be $4000 invested at 8% because
$4000x.08=$320 and $5000x.09=$450 so $320+$450=$770. I Cannot however figure out how to put this in a linear equation. Please help.: 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%.
I believe the answer to be $4000 invested at 8% because
$4000x.08=$320 and $5000x.09=$450 so $320+$450=$770. I Cannot however figure out how to put this in a linear equation. Please help.
Click here to see answer by checkley77(1743) |
Question 153937: A newspaper, USA- yesterday, prints the same number of pages every day. Readers like the news and photographs in the paper, but dislike advertising. As a result, as the number of pages devoted to ads increases, the number of readers declines. This relationship is described by the equation R=120-9A, where R is the number of readers (in thousands) and A is the number of pages of advertising. At what level of A does no one buy the newspaper?: A newspaper, USA- yesterday, prints the same number of pages every day. Readers like the news and photographs in the paper, but dislike advertising. As a result, as the number of pages devoted to ads increases, the number of readers declines. This relationship is described by the equation R=120-9A, where R is the number of readers (in thousands) and A is the number of pages of advertising. At what level of A does no one buy the newspaper?
Click here to see answer by stanbon(18044) |
Question 153807: HELP ME..
juan and peter both leave a shopping center at the same time going in opposite directions. Juan is on his bike and travels 3mps faster than peter who is on his skateboard. after 1.5 hours they are 19.5 miles apart. How fast does peter travel?
answer is.... 5mph
I NEED THE SOLUTION :(: HELP ME..
juan and peter both leave a shopping center at the same time going in opposite directions. Juan is on his bike and travels 3mps faster than peter who is on his skateboard. after 1.5 hours they are 19.5 miles apart. How fast does peter travel?
answer is.... 5mph
I NEED THE SOLUTION :(
Click here to see answer by checkley77(1743) |
Question 153806: one half of the total of 6 times a number and 20 is 4. what is the number?
thanks...: one half of the total of 6 times a number and 20 is 4. what is the number?
thanks...
Click here to see answer by checkley77(1743) |
Question 153433: I have a long word problem that I need help with.
In 2000, crude oil production by OPEC countries was 29.2 million barrels per day. In 2002, OPEC crude oil production had risen to about 28.7 million barrels per day.
a)write two ordered pairs of the form (years after 2000, crude oil production) for this situation.
b)assume that the relationship between years after 1997 and crude oil production is linear over this period. Use the ordered pairs from part (a) to write an equation of the lines relating year to crude oil production.
c)Use the linear equation from part (b) to estimate the crude oil production by OPEC countries in 2001.
I am not sure how to work this problem. or where to start.
thanks
megan: I have a long word problem that I need help with.
In 2000, crude oil production by OPEC countries was 29.2 million barrels per day. In 2002, OPEC crude oil production had risen to about 28.7 million barrels per day.
a)write two ordered pairs of the form (years after 2000, crude oil production) for this situation.
b)assume that the relationship between years after 1997 and crude oil production is linear over this period. Use the ordered pairs from part (a) to write an equation of the lines relating year to crude oil production.
c)Use the linear equation from part (b) to estimate the crude oil production by OPEC countries in 2001.
I am not sure how to work this problem. or where to start.
thanks
megan
Click here to see answer by ankor@dixie-net.com(3949) |
Question 153449This question is from textbook Algebra For College Students
: Amber is signing up for cell phone service. She is trying to decide between Plan A, which costs $54.99 a month with a free phone included, and Plan B, which costs $49.99 a month, but would require her to buy a phone for $129. Under either plan, Amber does not expect to go over the included number of monthly minutes. After how many months would Plan B be a better deal? This question is from textbook Algebra For College Students
: Amber is signing up for cell phone service. She is trying to decide between Plan A, which costs $54.99 a month with a free phone included, and Plan B, which costs $49.99 a month, but would require her to buy a phone for $129. Under either plan, Amber does not expect to go over the included number of monthly minutes. After how many months would Plan B be a better deal?
Click here to see answer by jojo14344(371) |
Question 153388: Hi, I have a math packet due on the 27th, and I've been stuck on this problem the whole summer. We don't get credit if we don't show our work, so I was hoping you could help me find the formula to solve this:
"Snap your fingers. Wait one second and snap them again. Then wait 2 seconds and snap them again. Following this pattern, the next snap will come 4 seconds after that, than 8, 16 and so on. Each time, the number of seconds between snaps is doubled. If you follow this pattern carefully, how many times times will you snap your fingers in one year? Explain your reasoning."
I've already tried y=2^2x+1, 2^31,536,000 (because there are 31,536,000 seconds in a year), I've tried everything Icould think of, but nothing made ssensse. Please help!!!!: Hi, I have a math packet due on the 27th, and I've been stuck on this problem the whole summer. We don't get credit if we don't show our work, so I was hoping you could help me find the formula to solve this:
"Snap your fingers. Wait one second and snap them again. Then wait 2 seconds and snap them again. Following this pattern, the next snap will come 4 seconds after that, than 8, 16 and so on. Each time, the number of seconds between snaps is doubled. If you follow this pattern carefully, how many times times will you snap your fingers in one year? Explain your reasoning."
I've already tried y=2^2x+1, 2^31,536,000 (because there are 31,536,000 seconds in a year), I've tried everything Icould think of, but nothing made ssensse. Please help!!!!
Click here to see answer by scott8148(2485) |
Question 153364: A poster is 25 cm taller than its width. It is mounted on a piece of particle board so that there is a 5 cm border on all sides. If the area of the border alone is 1250 sq cm, what are the dimensions of the poster?: A poster is 25 cm taller than its width. It is mounted on a piece of particle board so that there is a 5 cm border on all sides. If the area of the border alone is 1250 sq cm, what are the dimensions of the poster?
Click here to see answer by ankor@dixie-net.com(3949) |
Question 153377: I am having problems solving this word problem.
The quotient of a number and 3 is the same as the difference
of the number and two. Find the number
I came up with
x+3=y+2
I am not sure if this is a correct equation for this problem. I also need help solving it.
Thanks
Megan
: I am having problems solving this word problem.
The quotient of a number and 3 is the same as the difference
of the number and two. Find the number
I came up with
x+3=y+2
I am not sure if this is a correct equation for this problem. I also need help solving it.
Thanks
Megan
Click here to see answer by nerdybill(465) |
Question 153379: I am having problems with the following word problem.
Tina Earns $175 per week plus 5% commission on all her sales. Find the minimum amount of sales to ensure that she earns at least $300 per week.
300=175+.5x
This s the equation that I came up with but do not think it is right. Could you please help me with the word problem and solving the equation
Thanks
Megan: I am having problems with the following word problem.
Tina Earns $175 per week plus 5% commission on all her sales. Find the minimum amount of sales to ensure that she earns at least $300 per week.
300=175+.5x
This s the equation that I came up with but do not think it is right. Could you please help me with the word problem and solving the equation
Thanks
Megan
Click here to see answer by checkley77(1743) |
Question 153278: A typical college student spends 1/3 of her waking time in class, 1/5 of her waking time eating, 1/10 of her waking time working out, 3 hours studying, and 2.5 hours doing other things. How many hours of sleep does the typical college student get?: A typical college student spends 1/3 of her waking time in class, 1/5 of her waking time eating, 1/10 of her waking time working out, 3 hours studying, and 2.5 hours doing other things. How many hours of sleep does the typical college student get?
Click here to see answer by ankor@dixie-net.com(3949) |
Question 153276: Donna uses a 10% off coupon at her local nursery. After buying azaleas, bougainvillea, and bags of potting soil, her checkout price before tax is $217.95. How much would she have paid without the coupon?: Donna uses a 10% off coupon at her local nursery. After buying azaleas, bougainvillea, and bags of potting soil, her checkout price before tax is $217.95. How much would she have paid without the coupon?
Click here to see answer by jojo14344(371) |
Question 153277: A builder of tract homes reduced the price of a model by 15%. If the new price is $125,000, what was its original price? How much can be saved by purchasing the model?: A builder of tract homes reduced the price of a model by 15%. If the new price is $125,000, what was its original price? How much can be saved by purchasing the model?
Click here to see answer by jojo14344(371) |
Question 153283This question is from textbook Algebra and Trigonometry
: Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?This question is from textbook Algebra and Trigonometry
: Tickets for the homecoming dance cost $20 for a single ticket or $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of each type were sold?
Click here to see answer by orca(258) |
Question 153219: At its Grand Opening, the Guthrie Market distributed tow different types of souveniers. One type cost 20cents each, andt he other type cost 25 cents each. One thousand souveniers were distributed in all. If the cost of these souveniers was $220. how many of each type were distributed?: At its Grand Opening, the Guthrie Market distributed tow different types of souveniers. One type cost 20cents each, andt he other type cost 25 cents each. One thousand souveniers were distributed in all. If the cost of these souveniers was $220. how many of each type were distributed?
Click here to see answer by stanbon(18044) |
Question 153180: Joe plans to make ropes and matching hats from a bolt of material. The fabric he plans to use is 250 yards long. She will need 2 yards of material for each rope and 1/6 of a yard for each hat She also plans to put decorations on the rope and will need 1 yard of cord for each rope . The hats will not have any fingers . She has 100 yards of cord to use for the decorations.
1. Write two equations to use to solve for how many hats and ropes she can make from the supplies on hand. Let r equal the number of ropes and made and h equal the number of hats made
2. Try to solve this system of equations If you get a solution state what it is. If not describe what the result mean.
: Joe plans to make ropes and matching hats from a bolt of material. The fabric he plans to use is 250 yards long. She will need 2 yards of material for each rope and 1/6 of a yard for each hat She also plans to put decorations on the rope and will need 1 yard of cord for each rope . The hats will not have any fingers . She has 100 yards of cord to use for the decorations.
1. Write two equations to use to solve for how many hats and ropes she can make from the supplies on hand. Let r equal the number of ropes and made and h equal the number of hats made
2. Try to solve this system of equations If you get a solution state what it is. If not describe what the result mean.
Click here to see answer by stanbon(18044) |
Question 153015: A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five 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 five 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(371) |
Question 153125: if lynn can type a page in p minutes, what piece of the page can she do in 5 minutes: if lynn can type a page in p minutes, what piece of the page can she do in 5 minutes
Click here to see answer by oscargut(506)  |
Question 153073: Oriee was too excited about his new toy to sit still. He came to the lunch table, ate 1/6 of his mac and cheese, then left to play with his toy and then came back and ate 1/7 of what was left, ran and played, came back, ate 1/8 of what was left, and so on. After ten episodes of eating then playing, how much of his original mac and cheese was left?: Oriee was too excited about his new toy to sit still. He came to the lunch table, ate 1/6 of his mac and cheese, then left to play with his toy and then came back and ate 1/7 of what was left, ran and played, came back, ate 1/8 of what was left, and so on. After ten episodes of eating then playing, how much of his original mac and cheese was left?
Click here to see answer by stanbon(18044) |
Question 153060: Tickets to a local movie were sold at $6 for adults and $4.50 for students. If 63 tickets were sold for a total of $358.50, how many adult tickets were sold?: Tickets to a local movie were sold at $6 for adults and $4.50 for students. If 63 tickets were sold for a total of $358.50, how many adult tickets were sold?
Click here to see answer by jim_thompson5910(8302) |
Question 153059: The drama club sold 1,500 tickets for the end-of-year-performance. Admission prices were $12 for adults and $6 for students. The total amount collected at the box office was $16,200. How many students attended the play?: The drama club sold 1,500 tickets for the end-of-year-performance. Admission prices were $12 for adults and $6 for students. The total amount collected at the box office was $16,200. How many students attended the play?
Click here to see answer by jim_thompson5910(8302) |
Question 152985: Chris has four more than twice as many rocks in his wagon as Gordon has in his wagon. If he gives gordon six rocks, he will have one more than gordon. How many rocks does each boy have in his wagon right now?: Chris has four more than twice as many rocks in his wagon as Gordon has in his wagon. If he gives gordon six rocks, he will have one more than gordon. How many rocks does each boy have in his wagon right now?
Click here to see answer by orca(258) |
Question 152709: The speed of an airplane in still air is 250 km. The plane travels 632 km
against the wind and 1343 km with the wind in a total time of 15 hours. What is the speed of the wind?
Thank You. I have been at this problem for hours. : The speed of an airplane in still air is 250 km. The plane travels 632 km
against the wind and 1343 km with the wind in a total time of 15 hours. What is the speed of the wind?
Thank You. I have been at this problem for hours.
Click here to see answer by ankor@dixie-net.com(3949) |
Question 152558: A rental car costs $25 plus a fixed charge per mile driven. The total charge for 320 miles of use was $89. Write an equation for the cost, C(in dollars), in terms of the miles driven ,x.: A rental car costs $25 plus a fixed charge per mile driven. The total charge for 320 miles of use was $89. Write an equation for the cost, C(in dollars), in terms of the miles driven ,x.
Click here to see answer by jojo14344(371) |
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