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

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Algebra: Expressions involving variables, substitution

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Question 127129: the volume(v) of a sphere varies directly as the cube of its radius(r). if the volume of a sphere of 6 cm in radius is 904,8 cm3, find the volume of a sphere with a radius is 7 cm.
Click here to see answer by Fombitz(2113)

Question 127157: the frequency(F) of vibration of a string varies directly as the square root of the tension(t) and inversely as the length(L) and diameter(d). if a string of 5 cm long, with a diameter of 0,05 cm vibrates at a frequency of 1300 v/s at a voltage of 16 kg, what will be the frequency of a rope 15 inches long and 0,08 cm in diameter at a voltage of 25 kg?
Click here to see answer by stanbon(26259)

Question 127140: the frequency(F) of vibration of a string varies inversely with the length(L). knowing that a rope 15 cm long vibrates at a frequency of 128 v/s, what would be the length of a string vibrates at 192 v/s?
Click here to see answer by scott8148(3382)

Question 126413This question is from textbook
: Biologists tagged 500 fish in a lake on January 1. On February 1 they returned and collected a random sample of 400 fish, 8 of which had been previously tagged. Approximately how many fish does the lake have based on this experiment?This question is from textbook

Click here to see answer by stanbon(26259)

Question 127435This question is from textbook Structure and Method Book 1

: 3x-2y=3This question is from textbook Structure and Method Book 1

Click here to see answer by jim_thompson5910(13787)

Question 127155: the volume(v) of a gas is directly proportional to the temperature(T) and inversely proportional to the pressure(P). knowing that a gas occupies a volume of 5 L when it is under pressure from 84 kpa and a temperature of 302 K, calculate the volume of this gas if it relates to 273 K temperature and the pressure at 101 kpa.
Click here to see answer by scott8148(3382)

Question 127253: George invested some money at 5% interest. George also invested $165 more than 5 times that amount at 12%. How much is invested at each rate if George receives $899.90 in interest after one year?
Click here to see answer by scott8148(3382)

Question 127433This question is from textbook Structure and Method Book 1

: x+3y=23This question is from textbook Structure and Method Book 1

Click here to see answer by checkley71(8405)

Question 127501: Solve: 9 – (3x – 2) = 21
Click here to see answer by checkley71(8405)

Question 127501: Solve: 9 – (3x – 2) = 21
Click here to see answer by bucky(1732)

Question 127510: 5x+6/5x=7/5+8/x

Click here to see answer by MathLover1(1183)

Question 127565This question is from textbook Discovering Algebra

: Equation: 5x + 2y = 10
a. Solve the equation for y and sketch the graph.
b. Multiply the equation 5x + 2y = 10 by 3, and then solve for y. How does the graph of this equation compare with the graph of the original equation? Explain your answer. This question is from textbook Discovering Algebra

Click here to see answer by MathLover1(1183)

Question 127590: [(1/c)-(1/3-3c)]/[(1/1-c)-(3/c)]
I am having trouble finding the answer to the problem above. i have tried everything, but i cant seem to get the correct answer.
Click here to see answer by MathLover1(1183)

Question 127634: Hello, I have a few problems, and this should be easy but I'm over thinking it.
f9x0 = x/x+t g(x)= x^3
A) Find f(x) + g(x)
I found a common denominator, (x+1) but I got confused after that...
x^3 is really X^3/1 so to get the common denominator, would you multiply by x since the one is already in the denominator or just by x? and what about the denominator?
Also, I have a function:
f(x)= cube root of (x-1) g(x)= x^3 + 1
c) f(f(x)=?
All you have to do is substitute for this problem, correct?
So... f(f(x))= {cube root[cube root of (x-1)] -1} Would be correct?

If anyone could set me straight with these, I'd appreciate it!
Click here to see answer by solver91311(5072)

Question 127656: A home purchased for $400,000 depreciated 8% over a 1-year period. What was the value of the home at the end of the year?
Click here to see answer by josmiceli(3003)

Question 127654: If the sales tax rate is 6.5% and the tax on a purchase is $33, what was the amount of the purchase?
Click here to see answer by josmiceli(3003)

Question 127657: Translate the following statement into an algebraic equation. Let y represent the number.
6 times a number is 14 more than that number
A. 6y + 14 = y
B. 6 = 14y + y
C. 6y = x + 14
D. 6y = 14y
I chose D but was not sure
Click here to see answer by bucky(1732)

Question 127719: Hey i have a question i don't know how to do this problems can you help me here it is it is about substitution ok.
1) y=5x-10
y=3x+8
Click here to see answer by edjones(3292)

Question 127720:

2) 3x+y=2 4x+y=20

This is a Substitution problem and i need help
Click here to see answer by checkley71(8405)

Question 127780: Solve by addition or subtraction. If a unique solution does not exist, state whether the system is dependent or inconsistent.
3x + 2y = 1
5x + 3y =16

Click here to see answer by jim_thompson5910(13787)

Question 127781: Solve by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
4x – 3y = 22
5x + 4y = 6

Click here to see answer by jim_thompson5910(13787)

Question 127779: Ernesto leaves Miami and travels toward Orlando at 60 mi/hr. An hour later Dick leaves Orlando and travels toward Miami at 50 mi/hr. If the two cities are 280 miles apart, how many hours will it take for Ernesto to meet Dick?
Click here to see answer by josmiceli(3003)

Question 127833: I know that it said in the book it involved expressions. This is question 21. off of Lesson 8.2 Practice C worksheet.
-48x^-6y^4/52x^9y^-2
I know how to solve part of it but the fraction bar confuses me with switching it up and down.
I will really appreciate a tutors help.
Click here to see answer by solver91311(5072)

Question 127799: three times a number less than forty-five is equal to twice the same number.
Click here to see answer by Ahha(5)

Question 127791This question is from textbook Structure and Method Book 1

: 3x-2y=3This question is from textbook Structure and Method Book 1

Click here to see answer by idkweirdo(16)

Question 127837: This problem is similar to the one I posted earlier. The fraction bar confuses me. I have no trouble solving problems like this:
6^5(6)^-3
The worksheet from McDougal Littell A;gebra 1 Lesson 8.2 Practice C is the one I'm workig on.
Number 22.
8^-2/2^-4x^-4
Click here to see answer by stanbon(26259)

Question 127865: I need help with four problems. You have to solve each system of equations by substitutions. Te first one i need help with is x+y=1
2x-y=-2. The second one is 5x-3y=-11 and x-2y=2. The third one is x-y=3 and 6x+4y=13. The fourth one is 2x-y=16 and -x+2y=-8. I have no clue how to do these problems so i need help.
Click here to see answer by jim_thompson5910(13787)

Question 128005: Solve this system of equations by graphing. If a unique solution does not exist, state whether the system is dependent or inconsistent.
3x – 6y = -10
2x - 5y = -6

Click here to see answer by Earlsdon(4898)

Question 128004: Solve by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
4x – 3y = 22
5x + 4y = 6

Click here to see answer by MathLover1(1183)

Question 128002: Find the width and length of the rectangle so that it has the given perimeter:
P = 60 inches, width is x, and length is 3x – 5.
Click here to see answer by josmiceli(3003)

Question 128060: Can someone help me solve this problem using the Substitution or Elimination Method?
y=5x+2 3x-y=-13
Click here to see answer by checkley71(8405)

Question 128003: Solve this system of equations by graphing. If a unique solution does not exist, state whether the system is dependent or inconsistent.

3x – 6y = -10 2x - 5y = -6

Click here to see answer by checkley71(8405)

Question 128176This question is from textbook

: solve the system of equations graphically.

x+y=4, x-y=2This question is from textbook

Click here to see answer by checkley71(8405)

Question 124821This question is from textbook Structure and Method Book 1

: 3x+y=5This question is from textbook Structure and Method Book 1

Click here to see answer by ozymandias(9)

Question 128406: Sharon and Ken drove to the service station at 60 km per hour. They returned home by bicycle at 15 km per hour. The entire trip took 4 hours. How far was the round trip?
Click here to see answer by josmiceli(3003)

Question 128427: I need help in knowing how to do this problem when solving for x. (x+5)/(x-4)= 3/x+36/(x^2-4x) thank you
Click here to see answer by stanbon(26259)

Question 128496: Solve by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
4x – 3y = 22
5x + 4y = 6

Click here to see answer by jim_thompson5910(13787)

Question 128500: Solve:
2(x – 3) – 4x = x – 7

Click here to see answer by oscargut(682)

Question 128499: Allen bought 21 stamps in 37-cent and 20-cent denominations. If the total cost of the stamps was $7.26, how many 37-cent stamps did Allen buy?

Click here to see answer by oscargut(682)

Question 128497: The perimeter of a rectangle is to be no greater than 400 inches, and the length must be 150 inches. Find the maximum width of the rectangle.

Click here to see answer by checkley71(8405)

Question 128502: Felix has 40 coins consisting of dimes and nickels. If the value of his coins is $3.80, then how many of each type does he have?
Click here to see answer by josmiceli(3003)

Question 128583: Simplify

3(2r - 5) + 8(r + 2)

Simplify to make easier please thanks!
Click here to see answer by jim_thompson5910(13787)

Question 128594: Solve by substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
3x – 4y = 0
2y = x + 1

Click here to see answer by stanbon(26259)

Question 128995: I don't understand this problem can someone please help me. The area of a rectangle is 45 square cm. If the length is 4 cm greater than the width, what are the dimensions of the rectangle?.

Click here to see answer by oscargut(682)

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, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670