Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

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Question 170843This question is from textbook Amsco's Mathematics A
: If P=4s , find s when a. P=20 b. p=32 c. P=6.4This question is from textbook Amsco's Mathematics A
: If P=4s , find s when a. P=20 b. p=32 c. P=6.4
Click here to see answer by Mathtut(570) About Me 

Question 170669: I need a little help with this one. Thanks so much. The question asks to simplify:
(-2a^2b^3)^2 / (2a^2b)^3
i came up with ab^7 but i don't know for sure if it's correct. Any help would be appreciated.
: I need a little help with this one. Thanks so much. The question asks to simplify:
(-2a^2b^3)^2 / (2a^2b)^3
i came up with ab^7 but i don't know for sure if it's correct. Any help would be appreciated.

Click here to see answer by ankor@dixie-net.com(4538) About Me 

Question 170805: Here is one that is confusing me:
Simplify (-2a^2b^3)^2 / (2a^2b)^3
Any help would be appreciated!
: Here is one that is confusing me:
Simplify (-2a^2b^3)^2 / (2a^2b)^3
Any help would be appreciated!

Click here to see answer by Alan3354(1449) About Me 

Question 170671: This question seemed simple enough but....help is needed!
The Schwarzchild radius describes the critical value to which the radius of a massive body must be reduced for it to become a black hole.
R = 2GM / c^2
where
G = gravitional constant 6.7 x 10^-11
M = mass of the onject
C = speed of light 3 x 10^8
The sun has M = 2 x 10^30. What is the Schwarzchilds radius for the sun? The suns true radius is 700,000.
: This question seemed simple enough but....help is needed!
The Schwarzchild radius describes the critical value to which the radius of a massive body must be reduced for it to become a black hole.
R = 2GM / c^2
where
G = gravitional constant 6.7 x 10^-11
M = mass of the onject
C = speed of light 3 x 10^8
The sun has M = 2 x 10^30. What is the Schwarzchilds radius for the sun? The suns true radius is 700,000.

Click here to see answer by ankor@dixie-net.com(4538) About Me 

Question 170661This question is from textbook Introductory Algebra
: Solve the problem. A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.This question is from textbook Introductory Algebra
: Solve the problem. A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.
Click here to see answer by checkley77(3654) About Me 

Question 170736: Evaluation of a polynomial in one variable: Evaluate the expression
b2 - 6b - 2
when b= -5
: Evaluation of a polynomial in one variable: Evaluate the expression
b2 - 6b - 2
when b= -5

Click here to see answer by jim_thompson5910(9404) About Me 

Question 170704: Solve: 7x-3y=26
2x+5y=25
: Solve: 7x-3y=26
2x+5y=25

Click here to see answer by jojo14344(888) About Me 

Question 170693: If y varies inversely as x^2, and y = 2 when x = 4, what is the constant of the variation?
Thanks.
: If y varies inversely as x^2, and y = 2 when x = 4, what is the constant of the variation?
Thanks.

Click here to see answer by Mathtut(570) About Me 

Question 170673: A long distance telephone calling card charges $0.05 per minute, but adds on a $0.75 charge for each call dialed. Using 'C' for the number of calls made and 'I' for the time spent talking, create an expression that will keep track of the cost of using the card.
answer- C=.75 I/.05 ?

Using the expression created calculate the remaining value on a $20.00 phone card after 5 calls that lasted a total of 26 minutes.
answer is $14.95 but don't know how to use an expression to find answer.
I did .75 * 5=3.75 26*.05= 1.30 3.75+1.30=5.05 20.00-5.05= 14.95
Any help would be appreciated as this is my first math course in over 20 years.
: A long distance telephone calling card charges $0.05 per minute, but adds on a $0.75 charge for each call dialed. Using 'C' for the number of calls made and 'I' for the time spent talking, create an expression that will keep track of the cost of using the card.
answer- C=.75 I/.05 ?

Using the expression created calculate the remaining value on a $20.00 phone card after 5 calls that lasted a total of 26 minutes.
answer is $14.95 but don't know how to use an expression to find answer.
I did .75 * 5=3.75 26*.05= 1.30 3.75+1.30=5.05 20.00-5.05= 14.95
Any help would be appreciated as this is my first math course in over 20 years.

Click here to see answer by nerdybill(1129) About Me 

Question 170670: I did all the math for this one, but still having problems writing out the equation:
Suppose a population of initial size 100 grows at the rate of 8% per year forever.
What is the size of the population at the end of year 1? ( 108)
What is the size of the population at the end of year 2? (117)
What is the size of the population at the end of year 3? (126)
(This is where I get lost)
What is the size of the population at the end of year n (for any integer n)?
What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200?
: I did all the math for this one, but still having problems writing out the equation:
Suppose a population of initial size 100 grows at the rate of 8% per year forever.
What is the size of the population at the end of year 1? ( 108)
What is the size of the population at the end of year 2? (117)
What is the size of the population at the end of year 3? (126)
(This is where I get lost)
What is the size of the population at the end of year n (for any integer n)?
What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200?

Click here to see answer by Alan3354(1449) About Me 

Question 170663: need help evaluating x=-4 , y=6, z=-8
2x+3y
5xy-z
-z+2x
_______________________________
p-12= -15
-11= -4+d
-1.6k= -15
not from any textbook that I know of, from a 10 page worksheet
: need help evaluating x=-4 , y=6, z=-8
2x+3y
5xy-z
-z+2x
_______________________________
p-12= -15
-11= -4+d
-1.6k= -15
not from any textbook that I know of, from a 10 page worksheet

Click here to see answer by midwood_trail(260) About Me 

Question 170660This question is from textbook Introductory Algebra
: Solve using the elimination method.
2x - y = 6
5x + y = 22
This question is from textbook Introductory Algebra
: Solve using the elimination method.
2x - y = 6
5x + y = 22

Click here to see answer by Mathtut(570) About Me 
Question 170660This question is from textbook Introductory Algebra
: Solve using the elimination method.
2x - y = 6
5x + y = 22
This question is from textbook Introductory Algebra
: Solve using the elimination method.
2x - y = 6
5x + y = 22

Click here to see answer by jim_thompson5910(9404) About Me 

Question 170578: 3x+15=3-3x: 3x+15=3-3x
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Question 170451: Solve the problem. Roberto invested some money at 7%, and then invested $2,000 more than twice this amount at 11%. His total annual income from the two investments was $3,990. How much was invested at 11%?: Solve the problem. Roberto invested some money at 7%, and then invested $2,000 more than twice this amount at 11%. His total annual income from the two investments was $3,990. How much was invested at 11%?
Click here to see answer by jojo14344(888) About Me 

Question 170462This question is from textbook Introductory Algebra
: Using the formula r = 2sqrt (5L), how far will a car skid at 55 mph? at 90 mph?This question is from textbook Introductory Algebra
: Using the formula r = 2sqrt (5L), how far will a car skid at 55 mph? at 90 mph?
Click here to see answer by Mathtut(570) About Me 

Question 170463This question is from textbook Introductory Algebra
: Solve
12/sqrt(5x+6)=sqrt(2x+5)
This question is from textbook Introductory Algebra
: Solve
12/sqrt(5x+6)=sqrt(2x+5)

Click here to see answer by stanbon(19020) About Me 

Question 170457This question is from textbook Introductory Algebra
: Multiply and then simplify by factoring.
(√2y) (√3) (√8y)
This question is from textbook Introductory Algebra
: Multiply and then simplify by factoring.
(√2y) (√3) (√8y)

Click here to see answer by stanbon(19020) About Me 

Question 170480: An eastbound bicyclist enters a tunnel at the same time a westbound bicyclist enters the other end of the tunnel. The eastbound bicyclist travels 10 km/hr and the westbound bicyclist travels 8 km/hr. A fly is flying back and forth between the two bicyclists at 15 km/hr. The fly leaves the eastbound bicyclist just as he enters the tunnel. The tunnel is 9 km long. How far has the fly traveled when the bicyclists meet in the tunnel?: An eastbound bicyclist enters a tunnel at the same time a westbound bicyclist enters the other end of the tunnel. The eastbound bicyclist travels 10 km/hr and the westbound bicyclist travels 8 km/hr. A fly is flying back and forth between the two bicyclists at 15 km/hr. The fly leaves the eastbound bicyclist just as he enters the tunnel. The tunnel is 9 km long. How far has the fly traveled when the bicyclists meet in the tunnel?
Click here to see answer by stanbon(19020) About Me 

Question 170460This question is from textbook Introductory Algebra
: Rationalize the denominator.
(4-√3)/(6+√y)
This question is from textbook Introductory Algebra
: Rationalize the denominator.
(4-√3)/(6+√y)

Click here to see answer by stanbon(19020) About Me 

Question 170453This question is from textbook Introductory Algebra
: Solve the problem. Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many hours did she walk?This question is from textbook Introductory Algebra
: Solve the problem. Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many hours did she walk?
Click here to see answer by ankor@dixie-net.com(4538) About Me 

Question 170452This question is from textbook Introductory Algebra
: Solve the problem. Anne and Nancy use a metal alloy that is 24.9% copper to make jewelry. How many ounces of a 20% alloy must be mixed with a 27% alloy to form 100 ounces of the desired alloy?This question is from textbook Introductory Algebra
: Solve the problem. Anne and Nancy use a metal alloy that is 24.9% copper to make jewelry. How many ounces of a 20% alloy must be mixed with a 27% alloy to form 100 ounces of the desired alloy?
Click here to see answer by Alan3354(1449) About Me 

Question 170465This question is from textbook Introductory Algebra
: Virginia's AT&T 9002 cordless phone has a range of 1000 ft. Her apartment is a corner unit, located as shown in the figure below. Will Virginia be able to use the phone at the community pool?
picture shows the distance from the apartment to the ground is 180 ft., the distance from the ground on the outside of the building to the far side of the grounds is 600 ft., and the distance from the far side of the grounds to the far side of the pool is 400 ft. (looks like a U shape)
This question is from textbook Introductory Algebra
: Virginia's AT&T 9002 cordless phone has a range of 1000 ft. Her apartment is a corner unit, located as shown in the figure below. Will Virginia be able to use the phone at the community pool?
picture shows the distance from the apartment to the ground is 180 ft., the distance from the ground on the outside of the building to the far side of the grounds is 600 ft., and the distance from the far side of the grounds to the far side of the pool is 400 ft. (looks like a U shape)

Click here to see answer by maali40(13) About Me 

Question 170456This question is from textbook Introductory Algebra
: Between what two consecutive integers is √78 ?This question is from textbook Introductory Algebra
: Between what two consecutive integers is √78 ?
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Question 170464This question is from textbook Introductory Algebra
: A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the building. How high is the top of the ladder?This question is from textbook Introductory Algebra
: A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the building. How high is the top of the ladder?
Click here to see answer by nerdybill(1129) About Me 

Question 170455This question is from textbook Introductory Algebra
: Solve the problem. Marty leaves the airport in his private plane and flies due east at 186 mph. Two hours later, a jet leaves the same airport and flies due east at 434 mph. When will the jet overtake Marty's plane?This question is from textbook Introductory Algebra
: Solve the problem. Marty leaves the airport in his private plane and flies due east at 186 mph. Two hours later, a jet leaves the same airport and flies due east at 434 mph. When will the jet overtake Marty's plane?
Click here to see answer by maali40(13) About Me 

Question 170423This question is from textbook
: Evaluate the expression. Write answer without exponents.
(1/27)^2/3
This question is from textbook
: Evaluate the expression. Write answer without exponents.
(1/27)^2/3

Click here to see answer by jim_thompson5910(9404) About Me 

Question 170350: Need help writing algebraic expressions for
half the weight of a standard laptop computer
the weight of my dog increased my 8 pounds
$20. less than the cost of two airline tickets
the value of a home shared equally by four people
questions are not from a textbook
: Need help writing algebraic expressions for
half the weight of a standard laptop computer
the weight of my dog increased my 8 pounds
$20. less than the cost of two airline tickets
the value of a home shared equally by four people
questions are not from a textbook

Click here to see answer by checkley77(3654) About Me 

Question 170288This question is from textbook
: We have to solve using the eliminaiton or substitution method. I am really struggling with this class so I'm not sure where to start.
2(x-y)=3+x which is 2x - 2y =3+x
x = 3y + 4
This question is from textbook
: We have to solve using the eliminaiton or substitution method. I am really struggling with this class so I'm not sure where to start.
2(x-y)=3+x which is 2x - 2y =3+x
x = 3y + 4

Click here to see answer by Earlsdon(3748) About Me 
Question 170288This question is from textbook
: We have to solve using the eliminaiton or substitution method. I am really struggling with this class so I'm not sure where to start.
2(x-y)=3+x which is 2x - 2y =3+x
x = 3y + 4
This question is from textbook
: We have to solve using the eliminaiton or substitution method. I am really struggling with this class so I'm not sure where to start.
2(x-y)=3+x which is 2x - 2y =3+x
x = 3y + 4

Click here to see answer by nerdybill(1129) About Me 

Question 170289This question is from textbook
: This problem has to be solved algebraically. I am quite confused by this.
y=1.2x - 32.7
y=-0.7x + 46.15
This question is from textbook
: This problem has to be solved algebraically. I am quite confused by this.
y=1.2x - 32.7
y=-0.7x + 46.15

Click here to see answer by Alan3354(1449) About Me 
Question 170289This question is from textbook
: This problem has to be solved algebraically. I am quite confused by this.
y=1.2x - 32.7
y=-0.7x + 46.15
This question is from textbook
: This problem has to be solved algebraically. I am quite confused by this.
y=1.2x - 32.7
y=-0.7x + 46.15

Click here to see answer by stanbon(19020) About Me 

Question 170005: Could you help me solve this problem?
if y varies inversely as x^2, and y=2 when x=4, what is the constant of the variation? 2?

Thank you.
: Could you help me solve this problem?
if y varies inversely as x^2, and y=2 when x=4, what is the constant of the variation? 2?

Thank you.

Click here to see answer by ankor@dixie-net.com(4538) About Me 

Question 169534: :
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Question 169402: Lin Hisa plans to invest $1,400 in two stocks: Consolidated Industries (CI) and Amalgamated Manufacturing (AM). Suppose that after 5 years Lin's CI stock does not change in value, but her AM stock triples, making her stocks worth $3,300. Write an equation that expresses this fact.: Lin Hisa plans to invest $1,400 in two stocks: Consolidated Industries (CI) and Amalgamated Manufacturing (AM). Suppose that after 5 years Lin's CI stock does not change in value, but her AM stock triples, making her stocks worth $3,300. Write an equation that expresses this fact.
Click here to see answer by gonzo(474) About Me 

Question 169443: Express .46 as a fraction in simplest form.: Express .46 as a fraction in simplest form.
Click here to see answer by Mathtut(570) About Me 

Question 169229: I know this is a very simple type of equation, but I've forgotten which ones can cancel out and which have to stay.
This is the problem:
(6a)(-4b)
_________
(-2ab)(-3b)
It's multiple choice, so the possible answers are:
A. 4b
B. 4/b
C. -4a
D. -4/a
E. -4/b
Please help!
: I know this is a very simple type of equation, but I've forgotten which ones can cancel out and which have to stay.
This is the problem:
(6a)(-4b)
_________
(-2ab)(-3b)
It's multiple choice, so the possible answers are:
A. 4b
B. 4/b
C. -4a
D. -4/a
E. -4/b
Please help!

Click here to see answer by checkley77(3654) About Me 
Question 169229: I know this is a very simple type of equation, but I've forgotten which ones can cancel out and which have to stay.
This is the problem:
(6a)(-4b)
_________
(-2ab)(-3b)
It's multiple choice, so the possible answers are:
A. 4b
B. 4/b
C. -4a
D. -4/a
E. -4/b
Please help!
: I know this is a very simple type of equation, but I've forgotten which ones can cancel out and which have to stay.
This is the problem:
(6a)(-4b)
_________
(-2ab)(-3b)
It's multiple choice, so the possible answers are:
A. 4b
B. 4/b
C. -4a
D. -4/a
E. -4/b
Please help!

Click here to see answer by Mathtut(570) About Me 

Question 169234: The problem is this:
(1-2x)(3x+1)-(x-1)^2
What I have done is this:
(x-1)^2 = x^2 -2x +1
And using FOIL, (1-2x)(3x+1) =
3x +1 -6x^2 -2x
So, simplified, the equation reads: -x -7x^2 +2 or -7x^2 -x +2
But the multiple choice answers are:
a. x(3-7x)
b. -7x^2 -x
c. -7x2 -5x
d. -7x^2 +x
e. None of these
Am I right? Is it e. none of these? Please help!
: The problem is this:
(1-2x)(3x+1)-(x-1)^2
What I have done is this:
(x-1)^2 = x^2 -2x +1
And using FOIL, (1-2x)(3x+1) =
3x +1 -6x^2 -2x
So, simplified, the equation reads: -x -7x^2 +2 or -7x^2 -x +2
But the multiple choice answers are:
a. x(3-7x)
b. -7x^2 -x
c. -7x2 -5x
d. -7x^2 +x
e. None of these
Am I right? Is it e. none of these? Please help!

Click here to see answer by nerdybill(1129) About Me 

Question 169140: how do you solve
x+3=23
3x-2y=3
: how do you solve
x+3=23
3x-2y=3

Click here to see answer by checkley77(3654) About Me 

Question 169141: How do you solve?
x=1/5 y
3x+2y=26
: How do you solve?
x=1/5 y
3x+2y=26

Click here to see answer by Alan3354(1449) About Me 

Question 168978: 15x-10y=-5
15y=4+5x
: 15x-10y=-5
15y=4+5x

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Question 168931: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weigh in an airplane flying at 30,000 ft?: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weigh in an airplane flying at 30,000 ft?
Click here to see answer by Alan3354(1449) About Me 

Question 168843: 5x-3=13-3x
im having a hard time understanding when youre suppose to add and when your suppose to subtract, also i dont understand how youre suppose to combine variables
: 5x-3=13-3x
im having a hard time understanding when youre suppose to add and when your suppose to subtract, also i dont understand how youre suppose to combine variables

Click here to see answer by gonzo(474) About Me 
Question 168843: 5x-3=13-3x
im having a hard time understanding when youre suppose to add and when your suppose to subtract, also i dont understand how youre suppose to combine variables
: 5x-3=13-3x
im having a hard time understanding when youre suppose to add and when your suppose to subtract, also i dont understand how youre suppose to combine variables

Click here to see answer by Mathtut(570) About Me