Questions on Algebra: Evaluation of expressions, parentheses answered by real tutors!

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Question 1054078: A rectangle has a length that is 3 less than it's width. What is a simplified expression to represent the perimeter of the rectangle?
Click here to see answer by ikleyn(52832) About Me 

Question 1053899: The demand equation for the Schmidt-3000 fax machine is , where x is the quantity demanded per week and p is the unit price in dollars. The supply equation is , where x is the quantity the supplier will make available in the market when the unit price is p dollars. Find the equilibrium quantity and the equilibrium price for the fax machines.
a. 450, =$500
b. 600, =$200
c. 500, =$400
d. 400, =$600
e. 550, =$300
Please explain. Thank you!!

Click here to see answer by MathTherapy(10555) About Me 

Question 1054269: Let U={1, 2, 3, 4, 5, 6, 7, 8, 9} and A={1}. Find the set Ac

a. {2, 3, 4, 5, 6, 7, 8, 9}
b. {1, 2, 3, 4}
c. {2, 4, 6, 8, 9}
d. {2, 3, 4, 5, 6, 7, 8}

Thank you

Click here to see answer by stanbon(75887) About Me 

Question 1054314: Let U denote the set of all senators in Congress. Let
​D= {x∈U| x is a Democrat}
R= {x∈U| x is a Republican}
F= {x∈U| x is a female}
L= {x∈U| x is a lawyer}

Write the set that represents the following statement:

The set of all Republicans who are female and are lawyers.

a. R ∪ (F∪L)
b. D ∪ (F∩L)
c. D ∩ (F∪L)
d. R ∩ (F∩L)
I think the answer is (a) but I'm not sure. Please help. Thank you

Click here to see answer by ikleyn(52832) About Me 

Question 1054320: Find the smallest possible set (that is, the set with the least number of elements) that contains the given sets as subsets.

{Audi, Volkswagen, Volvo}, {Daimler-Benz, Toyota, Porche}
a. {Audi, Volkswagen, Volvo}, {Daimler-Benz, Toyota, Porche}
b. {Daimler-Benz, Toyota, Porche}
c. {Audi, Volkswagen, Volvo}
d. {Ø}
I think the answer is a, but I'm not sure. Please Help. Thank you.

Click here to see answer by Fombitz(32388) About Me 

Question 1054651: If 4^(x-1)=9, find the values of 2^x and 8^-x
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Question 1054833: An exam consists of nine true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exam be completed if a penalty is imposed for each incorrect answer, so that a student may leave some questions unanswered?


a. 129; 587
b. 637; 38,777
c. 587; 14,685
d. 146; 7,159
e. 512; 19,683
f. 161; 11,858
Thank you

Click here to see answer by Boreal(15235) About Me 

Question 1054859: In a survey of 380 households regarding the ownership of VCRs and DVD players, the following data was obtained:

350 households own one or more VCRs.
​180 households own one or more VCRs and one or more DVD players.
​13 households do not own a VCR or a DVD player.

How many households only own one or more DVD players?

20 households
29 households
19 households
16 households
17 households
30 households

Please explain. thank you

Click here to see answer by Edwin McCravy(20060) About Me 

Question 1054884: Of 110 clock radios sold recently in a department store, 60 had FM circuitry, and 80 had AM circuitry. How many could receive FM transmission only?


10
60
20
50
40
Please explain. Thank you.

Click here to see answer by Theo(13342) About Me 

Question 1054912: Let A={2, 4, 6, 8} and B={2, 3, 5, 7, 9}. Compute n(A).

17
14
5
8
4
1

Please explain. Thank you

Click here to see answer by rothauserc(4718) About Me 

Question 1054960: Let A and B be subsets of a universal set U and suppose n(U)=190, n(A)=100, n(B)=70, and n(A∩B)= 50 Compute n(Ac).

a. 30
b. 10
c. 90
d. 40
e. 170
f. 20
Please help. Thank you

Click here to see answer by ikleyn(52832) About Me 

Question 1054959: Let U={1, 2, 3, 4, 5, 6, 7, a, b, c, d, e}. If A={1, 3, b, c} and B={2, 4, 5, 7, b, c, e}, find n(Ac).
7
2
8
3
19
11
Please help. Thank you

Click here to see answer by ikleyn(52832) About Me 

Question 1055110: A 3-member executive committee is to be formed from a 11-member board of directors. In how many ways can it be formed?

6
170
165
33
990
Please explain this to me. thank you

Click here to see answer by jorel555(1290) About Me 

Question 1055232: If n(A)=13, n(A∪B)=19, and n(B)=15, what is n(A∩B)? ​


Please explain .Thank you

Click here to see answer by ikleyn(52832) About Me 

Question 1055309: Hello, I have atempted to solve some algebraic problems in word problems. Can anyone help a assist me? A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.8MB. Yesterday, there were 1210 downloads of the song, for a total download size of 3540MB. How many downloads of the high-quality version were there?
3540mb = 2.1mb(x) + 4.8mb(y)
X + y = 1210

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Question 1055351: Solve the following formula for r. (assume all variables are positive)
r(e)=(1+r/m)^m -1

Click here to see answer by stanbon(75887) About Me 

Question 1055373: If n(A)=13, n(A∪B)=19, and n(B)=15, what is n(A∩B)? ​
Please help.

Click here to see answer by Edwin McCravy(20060) About Me 
Question 1055373: If n(A)=13, n(A∪B)=19, and n(B)=15, what is n(A∩B)? ​
Please help.

Click here to see answer by ikleyn(52832) About Me 

Question 1055408: Can anyone please assist with this question? A desk is on sale for 35% off. The sale price is $507. What is the regular price?
My intial thoughts were to create this equation 35/100 = 507/X however I know this is wrong.

Click here to see answer by addingup(3677) About Me 
Question 1055408: Can anyone please assist with this question? A desk is on sale for 35% off. The sale price is $507. What is the regular price?
My intial thoughts were to create this equation 35/100 = 507/X however I know this is wrong.

Click here to see answer by MathTherapy(10555) About Me 

Question 1055562: Wich expression equals to ×+×+×+×


Click here to see answer by ikleyn(52832) About Me 

Question 1055594: If n(A)=15, n(B)=18, n(C)=16, n(A∩B)=7, n(A∩C)=6, n(B∩C)=7, and n(A∪B∪C)=30 find n(A∩B∩C).
n(A∩B∩C)=9
n(A∩B∩C)=1
n(A∩B∩C)=2
n(A∩B∩C)=17
n(A∩B∩C)=3
Please explain. Thank you

Click here to see answer by ikleyn(52832) About Me 

Question 1055610: r(x) = 9x + 10, x = -1/6
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Question 1055617: Factorise: x^2 + (3/4)x + 1/8
Thanks!

Click here to see answer by ikleyn(52832) About Me 
Question 1055617: Factorise: x^2 + (3/4)x + 1/8
Thanks!

Click here to see answer by MathTherapy(10555) About Me 

Question 1055573: The difference between three times a number and nine more than two times the number
Click here to see answer by ikleyn(52832) About Me 

Question 1055616: Simplify: (4x)/(x^2-9) = 2/(x+3)
Thanks!

Click here to see answer by josgarithmetic(39623) About Me 

Question 1055619: One-fourth of a number is
greater than one-fifth of the number
succeeding it by 1. Find the number.
a) 24 b) 42 c) 36 d) 48

Click here to see answer by KMST(5328) About Me 

Question 1055741: Two lines intersect to form a linear pair of congruent angles. The measure
of one angle is (8x + 10)° and the measure of the other angle is ( 15y ___
2 )°
. Find the values
of x and y. Explain your reasoning.

Click here to see answer by Alan3354(69443) About Me 

Question 1055846: Hi! I am stuck haven't done algebra in 35 years. I am evaluating an equation.
2x-4y to the 2nd power. x=3 and y= -2. I just forget how to start. Thanks very much

Click here to see answer by stanbon(75887) About Me 
Question 1055846: Hi! I am stuck haven't done algebra in 35 years. I am evaluating an equation.
2x-4y to the 2nd power. x=3 and y= -2. I just forget how to start. Thanks very much

Click here to see answer by MathTherapy(10555) About Me 

Question 1055992: The period of a pendulum, T, is known to be a function of the length, L, ie, T=2pi(sqr(L/9.8)) where T is measured in seconds and L is measured in meters. Find T(9.8) in terms of pi.
What do you substitute in this equation? Thanks!

Click here to see answer by Alan3354(69443) About Me 

Question 1056631: 5^x + 15^x =
The solutions to choose from are:
1) 5^x(1 + 3^x)
2) 5(4^x)
3) 20^x
4) 75^2x
The correct answer is the first solution: 5^x(1 + 3^x). That doesn't seem right.

Click here to see answer by josgarithmetic(39623) About Me 

Question 1057213: Determine the values of the variable that make x+2/x^2-9 defined.
Click here to see answer by Fombitz(32388) About Me 

Question 1057512: Solve (1-x)/(2+x) = (x-2)/(x+1)
Thanks so much!

Click here to see answer by ikleyn(52832) About Me 
Question 1057512: Solve (1-x)/(2+x) = (x-2)/(x+1)
Thanks so much!

Click here to see answer by josmiceli(19441) About Me 

Question 1057514: Simplify (x+1)/(x(x-1)) - (x-1)/(x(x+1)
Thank you so much!

Click here to see answer by josgarithmetic(39623) About Me 
Question 1057514: Simplify (x+1)/(x(x-1)) - (x-1)/(x(x+1)
Thank you so much!

Click here to see answer by MathTherapy(10555) About Me 

Question 1057629: Simon has 24 CDs. He has 44 more trading cards than CDs. How many trading cards does he have? How many CDs and trading cards does he have all together?
Click here to see answer by addingup(3677) About Me 

Question 1057627: John collected 150 nickels and dimes. He has 30 more nickels than dimes. How many of each does he have?
Click here to see answer by addingup(3677) About Me 

Question 1057683: If x^(1/4) + x^(-1/4) = sqr2 + 1, find the value of x^(1/2) + x^(-1/2) and x + x^(-1), leaving your answers in surd form.
Where do I begin? Thanks!

Click here to see answer by ikleyn(52832) About Me 

Question 1057690: Hw many words this letters can be group?
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Question 1057614: Twice the difference of a number and six is 20
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Question 1057778: quotient of 12 and a number

Click here to see answer by addingup(3677) About Me 

Question 1057991: yes i tired on my own to figure this problem out.5(a2-b2). i change the a and b to 2 the answer i got was 7 what did do wrong
Click here to see answer by josgarithmetic(39623) About Me 

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, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840