Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 273583: i'm having troubles with worded linear equations
a gardener once noticed that her daffodils were 12cm tall and then that they grew steadily by 1.6cm per day for the next 10 days,
how would you write an equation for this ?
Click here to see answer by Theo(13342)   |
Question 273787: When Mary's car's tire pressure is 30 pounds per square inch (psi), it averages 20.8 mpg of gasoline. If the tire pressure is increased to 35 psi, the car averages 21.6 mpg of gasoline. If Mary drives an average of 20,000 miles per year, how many gallons of gasoline will she save in one year by increasing her tire pressure from 30 psi to 35 psi (round to the nearest unit)? Show your step by step work!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 274016: You are at the mall of america searching for a new cell phone. you have idenified two plans that work for you. Fast communications charges a monthly fee of $15..20 for texting, call waiting, and caller id. They also charge & cents per min. to use the phone. Alltell charges a monthly fee of $9.50 for texting, call waiting, and caller id. Also charge 9 cents to use the phone. Which plan is better?
Click here to see answer by calegebra(14) |
Question 274306: A group of students went to the pub after the football game on Saturday night. They all ordered from the menu and forgot to tell the server to give them separate checks. The bill totaled $162.00, including the tip. They decided to split the bill evenly, and they figured out how much each of them owed. But then three people said they had no money. The rest of the people each had to chip in $2.70 extra to cover the tab. How many people were in the group?
Click here to see answer by richwmiller(17219)  |
Question 274694: A Las Vegas casino surveyed 210 gamblers. The results are as follows:
108 played poker
75 played blackjack
42 played both
Construct a Venn diagram and submit it to the week 2, assignment 2 dropbox.
Answer the following questions:
i. How many played only blackjack?
ii. How many played only poker?
iii. How many played either one or the other or both?
iv. How many played neither?
The National Association for Women in Science asked recent high school grads if they had taken certain science classes. Of those surveyed, 32 said they had taken physics, 51 said they had taken chemistry and 15 said they had taken both. Ten said they had taken neither. How many recent high school grads were surveyed?
(Points :3)
Given the following set, select the statement below that is true.
A = {q, r, s, t, u}
t ∈ A
5 ∈ A
v ∈ A
A = Ø
q ∉ A
Given these sets:
A = {3, 4, 5, 6, 7}
B = {6, 7, 8, 9}
C = {2, 4, 6, 8}
List the elements of this set
B ∩ (AUC)
Given the following sets, select the statement below that is true.
A = {l, a, t, e, r}, B = {l, a, t, e}, C = {t, a, l, e}, D = {e, a, t}
(Points :3)
A ⊂ C and C ⊂ A
B ⊆ D and D ⊆ B
D ⊆ C and C ⊆ A
D ⊂ A and B ⊆ D
A ⊆ C and C ⊂ A
Without writing them all out, what is the number of subsets of set B = {3, 6, 9, 12, 15}?
The cardinal number of the set {cat, dog, horse, fish, lizard, meercat, rhinoceros, elephant, giraffe, platypus, hippopotamus, skunk, mouse} is
Click here to see answer by edjones(8007)  |
Question 274816: A group of 42 people go to an amusement park. The admission fee for adults of $16. The admission fee for children is $12. The group spent $568 to get inot the park. ow many adults and m=how many children were in the group.
Click here to see answer by checkley77(12844) |
Question 274754: I am not sure how to solve this problem. A rental car agency charges 14 per day plus 9 cents per mile to rent a car. Another agency charges 17 per day plus 5 cents per mile to rent the same car. How many miles will have to be driven in order for the cost of a car from the first agency to equal the cost of a car from the second agency? Express as a system of linear equations.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 274902: The volume V of a gas varies inversely as the pressure P on it. The volume of the gas is 300cm(squared) under pressure of 27kg/cm(squared). Find an equation of variation.
I am clueless. I know y=k/n. But I feel I have a variable missing. Any help is appreciated allot!!
Click here to see answer by Alan3354(69443)  |
Question 274898: I cannot even being to start to set this question up properly. Any help is appreciated.
A force is applied to a spring in order to compress it. The distance the spring is compressed from it's natural length is denoted by x, and the force applied varies directly as x. If a force of 20n compresses the spring by 0.8m, then what force is required to compress the spring by 1.4m?
Click here to see answer by Alan3354(69443) |
Question 275004: The number of miles M that a certain automobile can travel on one gallon of gasoline at a speed of v mi/hr is given by M=-1/30v^2+5/2v
for 0
a) Find the most economical speed for a trip.
b) Find the largest value of M.
Click here to see answer by Alan3354(69443) |
Question 275313: A ticket on the roller coaster is priced differently for adults and children. One day there were 5 adults and 8 children in a group and the cost of their tickets was 48.50. Another group of 4 adults and 12 children paid 57. What is the price of each type of ticket?
I tried to do 9a+20c=105.5
a+c=29
Click here to see answer by Greenfinch(383)  |
Question 275221: At Roccos Restaurant, a large pizza costs $12 plus $1.25 for each additional topping. At pizza palace , a large pizza costs $15 plus $0.75 for each additional topping. For how many toppings will the cost be the same? What will that cost be?
Click here to see answer by dabanfield(803) |
Question 275377: I'm not sure how to set up the following problem: It takes 1.5 hrs to fly 600km against the wind. The return trip with the wind takes only 1hr. Find the total flying time for the round trip if there was no wind.
Click here to see answer by stanbon(75887) |
Question 275373: I'm no sure how to set up the following question. I'm just not undertanding how to set it up. The problem is as follows: It takes an airplane 1.5 hrs. to fly 600 km against the wind. The return trip with the wind takes 1 hr. Find the total flying time for the round trip if there was no wind.
Click here to see answer by scott8148(6628)  |
Question 275393: A sales person purchased an automobile that was advertised as averaging 25mi/gal in the city and 40 mi/gal on the highway. A recent sales trip that covered 1800 miles required 51 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
I'm really stumped on how to approach this problems because it seems the answer could possibly have more than one correct answer if there is not a number of highway miles given, or the answer would have a variable in it.
Click here to see answer by stanbon(75887) |
Question 275517: COST ANALYSIS - A plant can manufacture 80 golf clubs per day far a daily cost of $8147 and 100 golf clubs per day for a total daily cost of $9647.
A) Assuming that daily cost and production are linearly related, find the total daily cost of producing X golf clubs.
B) Interpret the slpe of this cost equation.
C) What is the effect of a 1 unit increase in production?
Click here to see answer by Theo(13342) |
Question 275522: Robinson: w=108+3.7h
Miller: w=117+3.0h
where w is weight (in pounds) and h is height over 5 feet (in inches)
Question 1: If a woman is 5'6" tall, what does each model predict her weight to be?
Question 2: If a woman weighs 140 pounds, what does each model predict her height to be?
Click here to see answer by checkley77(12844) |
Question 275475: Fence painting. Darren and Douglas must paint the
792-foot fence that encircles their family home. Because
Darren is older, he has agreed to paint 20% more than
Douglas. How much of the fence will each boy paint?
bobnpenguin@cox.net
Click here to see answer by checkley77(12844) |
Question 275772: Property tax is based on the assessed value of the property. A house that has an assessed value of 150,000 has a property tax of $ 5,520.Find a model for tax in terms of value use the model to determine the tax on a house assessed at $200,000.
Click here to see answer by checkley77(12844) |
Question 276707: 1. Write a negation of the statement.
All squares are parallelograms.
All squares are not parallelograms.
No squares are parallelograms.
Some squares are parallelograms.
Some squares are not parallelograms.
2. Let p, q, and r be the following statements:
p: Jamie is on the train.
q: Sylvia is at the park.
r: Nigel is in the car.
Translate the following statement into English: (p q) r
3. Construct a truth table for ~q p
4. Construct a truth table for (p ~q) ↔ q
5. Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.
Jim does not play football or Michael does not play basketball.
(Points :3)
~(p q)
p q
~p ~q
~p ~q
6. Write the compound statement in words.
Let p = The monitor is included.
q = The color printer is optional.
p ~q
The monitor is not included and the color printer is optional.
The monitor is included and the color printer is not optional.
The monitor is included and the color printer is optional.
The monitor is included or the color printer is not optional.
7. Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.
p (q ~r)
True
False
8. Determine which, if any, of the three statements are equivalent.
I) If it is dark outside, then I will not be on time for dinner.
II) If it is not dark outside, then I will be on time for dinner.
III) If I will be on time for dinner, then it is not dark outside.
I, II, and III are equivalent
I and III are equivalent
II and III are equivalent
I and II are equivalent
None are equivalent
9. Given the argument and its Euler diagram below, determine whether the syllogism is valid or invalid.
Valid
Invalid
10. Identify which argument is invalid.
If Rita watches the movie, then she will not exercise.
Rita did not watch the movie.
Therefore, Rita exercised.
If Sandra pays her all taxes on time, then she will not incur a penalty.
Sandra incurs a penalty.
Therefore, she did not pay her taxes on time.
Either Sandra pays her all taxes on time or she will incur a penalty.
Sandra did not pay all her taxes in time.
Therefore, she will incur a penalty.
If Jan gets lost, she will need a map.
Jan does not need a map.
Therefore, Jan is not lost.
If Juanita hits all the high notes, she will not be embarrassed.
Juanita hit all the high notes.
Therefore, she was not embarrassed.
11.
Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.
p = The forest is dark.
q = The moon is full.
The forest is dark or the moon is full.
p q
p q p q
T T F
T F T
F T T
F F F
p q
p q p q
T T T
T F T
F T T
F F F
p q
p q p q
T T T
T F F
F T F
F F T
p q
p q p q
T T T
T F F
F T F
F F F
12. Determine if the argument is valid or invalid. Give a reason to justify answer.
If you eat well, you will be well.
If you are well, you will be happy.
If you eat well, you will be happy.
Valid by the law of detachment
Valid by the law of contraposition
Invalid by fallacy of the converse
Invalid by fallacy of the inverse
Valid by the law of syllogism
Valid by disjunctive syllogism
Click here to see answer by nyc_function(2741)  |
Question 276705: 1. Determine the truth value of the following statement:
The Mona Lisa is a famous painting and all even numbers are divisible by 2.
True
False
2. Construct a truth table for (~p q) p
3. Fill in the heading of the following truth table using any of p, q, , , ↔, , and . Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for .
p q _________
T T T
T F F
F T F
F F T
4. Construct a truth table for q (p ~q)
5. Given p is true, q is true, and r is false, find the truth value of the statement ~q
(p r).
Show step by step work. Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for , if needed.
6. Determine which, if any, of the three statements are equivalent.
I) If the movie is sold out, then we will not see the movie on opening night.
II) Either the movie is not sold out or we will not see the movie on opening night.
III) Either the movie is not sold out or we will see the movie on opening night.
I and II are equivalent
I and III are equivalent
II and III are equivalent
I, II, and III are equivalent
None are equivalent
7. Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used.
Either the gazebo is made of wood or the vine is growing on the gazebo.
The gazebo is not made of wood.
The vine is growing on the gazebo.
8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the week 3, assignment 3 dropbox.
I) If the house is not white, then the house is not small.
II) The house is not white and the house is small.
III) It is false that the house is white or that the house is not small.
a. I, II, and III are equivalent
b. I and II are equivalent
c. II and III are equivalent
d. I and III are equivalent
e. None are equivalent
9. Create an Euler diagram to determine whether the syllogism is valid or invalid.
All football players run fast.
Matt runs fast.
Matt is a football player.
10. If the argument below is valid, name which of the four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.
If I catch the bus on time, then I am not late to work.
I caught the bus on time.
Therefore, I was not late to work.
11. Form the converse: If I do not change my car’s oil, then my car will have engine trouble. (Points :3)
If I change my car’s oil, then my car will not have engine trouble.
If my car does not have engine trouble, then I changed my car’s oil.
If my car does not have engine trouble, then I did not change my car’s oil.
If my car has engine trouble, then I did not change my car’s oil.
If my car has engine trouble, then I changed my car’s oil.
12. Write the compound statement in symbols.
Let
p = I eat too much.
q = I will feel too full.
r = I'll exercise.
If I eat too much, and don’t exercise, then I will feel too full.
(p ~r) q
(p ~r) ↔ q
(p ~r) q
p (~r q)
13. Construct a truth table for ~(q p
Click here to see answer by nyc_function(2741) |
Question 276777: An entertainment promotor for a magic show must make $161,000 from ticket sales in order to cover the cost and make a reasonable profit. The auditorium has 3000 seats with 1800 seats on the lower floor and 1200 balcony seats. Attendes will pay $20 more for the lower floor seats than for the balcony seats.
Write a system of equations with F for the floor seats ticket price and B for the balcony seat ticket price.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 276977: I need help in solving linear system of two equation, The amount of calcium in one bread is 26.2mm and the iron in the bread is0.8mm and amount of calcium in one banana is 6.8 mm and iron is 0.4mm. The qyestion is how can i find out how much of each food item you need in order to reach those value. The recommened value of calicum is 1000 and the iron is 18mm.
Click here to see answer by Theo(13342) |
Question 276943: My daughter needs help with this problem, she has a learning disability and these problems are very difficult for her and I can't help her either.
Mama Mia owned a pizza shop. Recently she ordered 20 jars of canned tomato sauce and 25 pounds of cheese. The total was $170.50. The bill was not itemized so Mama Mia looked at past invoices. Last month she had ordered 25 jars of canned tomato sauce and 35 pounds of cheese. The total was $235. Using a system of equations, help Mama Mia determine the price of 1 jar of canned tomato sauce and 1 pound jar of cheese.
Click here to see answer by ankor@dixie-net.com(22740) |
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