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

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Question 201303: Construct a table using at least five points on the graph of the equation x - 2y = 12 and Solve the following problem; 120 yards of fencing is available to fence a triangular lot. If the triangular lot is a right triangle, and the length of one leg is x and the hypotenuse is 50 yards, find an expression for the area, A of the triangle as a function of x. Express your answer as a simplified quadratic expression.
The area of a triangle is given by 1/2base x height, => Area = ½b x h
Click here to see answer by solver91311(16872)

Question 201574: use synthetic substitution to find the value of f(-2) for f(x)=x^3-3x^2-x-9

Click here to see answer by stanbon(57282)

Question 200062: express the following fractions as decimals
3/5
2/7
43/100
Click here to see answer by Alan3354(30993)

Question 201403: Construct a table using at least five points on the graph of the equation x - 2y = 12
Solve the following problem; 120 yards of fencing is available to fence a triangular lot. If the triangular lot is a right triangle, and the length of one leg is x and the hypotenuse is 50 yards, find an expression for the area, A of the triangle as a function of x. Express your answer as a simplified quadratic expression.
The area of a triangle is given by 1/2base x height, => Area = ½b x h
Click here to see answer by solver91311(16872)

Question 201617: Solve the system by substitution
-x-6y=5
x+6y=7

Click here to see answer by stanbon(57282)

Question 201630: In a triagle,the second side is one-third of the first side in length. The third side is 2 meters less than the first side. The perimeter of the triangle is 26 meters. Form an algebraic equation to express this problem.
Click here to see answer by jim_thompson5910(28536)

Question 201581: this may be an expression to simplify the expression but here it goes:
Marriage Penalty eliminated The value of the expression
4220+0.25(x - 30,650)
is the 2006 federal income tax for a single taxpayer with
taxable income of x dollars, where x is over $30,650 but
not over $74,200.
a) Simplify the expression.
b) Find the amount of tax for a single taxpayer with
taxable income of $40,000.
c) Who pays more, a married couple with a joint taxable
income of $80,000 or two single taxpayers with
taxable incomes of $40,000 each?

Click here to see answer by stanbon(57282)

Question 201665: Sorry my daughter wasn't able to bring book home so here goes, 1.) 3.67 when 8 = 2 2.) 9 + p when p = 11 3.) r(10) when r = 8.2 4.)3/8 - p when . p = 3/16
Click here to see answer by nerdybill(6951)

Question 201865: Express the given information as an algebraic equation and simplify: Max has $3.25 in change. He has 5 more dimes than quarters but twice as many nicckles as dimes.
Click here to see answer by nerdybill(6951)

Question 201867: A woman buys 3 toys for $107.10, including tax. If each toy cost $34, what was the sales tax rate?
Click here to see answer by nerdybill(6951)

Question 201868: In a triangle, the perimeter is 121 feet, the shortest side is 15 feet longer than one-half of the longest side, the second longest side is 4 feet shorterthan the longest side. What is the length of each side?
Click here to see answer by ankor@dixie-net.com(15645)

Question 201937: 100000=x-(.2x)
please help solve and show work. I know x = 125000 but I cannot figure out how
Click here to see answer by rfer(12654)

Question 201934: I forgot how to do these types of problems.
1. (x+4)(x-7)
2. 2x^2(4x^3 + 3y)
Click here to see answer by rfer(12654)

Question 202049: (27 a^8)/(9 a^4)-(78 a^9)/(3 a^5)
Click here to see answer by jim_thompson5910(28536)

Question 202083: Need help translating the following verbal expression into an algebraic equation with a single variable—you don’t need to solve the equation.
By driving 10 miles per hour slower than Ed, Eunice travels the same distance in 3 hours that Ed travels in 2 hours.
Not sure how to set this problem up and solve.
Click here to see answer by nerdybill(6951)

Question 202171: (2/x+5 + 4/x+3) / (3x+13/x^2+8x+15)
I tried multiplying by the reciprocal rule, but I don't think I got the right answer. Can you please help me?

Click here to see answer by vleith(2825)

Question 202172: 1/(x+2) + 1/(x-2) = 1/(x^2-4)
Click here to see answer by vleith(2825)

Question 202206: Need to double-check this equation:
Evaluate the following expression:
(1/2) + (1/3) – (1/6)
36(1/2)+36(1/3)-36(1/6)
(18+12-6)/36
=24/36
=2/3
Click here to see answer by jim_thompson5910(28536)

Question 202307: Please help solve the problem at this url.

http://zamas.us/hexagonalproblem.pdf
ISBN: This question is not from a textbook. It is from "summer math" work packet.
Click here to see answer by solver91311(16872)

Question 202460: I need to know how to set up this word problem......
The sum of two integers is thirty. Eight times the smaller integer is six more than five times the larger integer. Find the integers.
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Question 202462: I need to know how to set this problem up....
A silversmith combined pure silver that cost $5.20 per ounce with 50 oz of a silver alloy that cost $ 2.80 per ounce. How many ounces of the pure silver were used to make an alloy of silver costing $4.40 per ounce?
Click here to see answer by ankor@dixie-net.com(15645)

Question 202513: solve the following and descrbe the one-demenisional graph
2<2x-5<7
my answer:2+5<2x-5+5<7+5
7<2x<12
7<2x<12 divide it all by 2 to get x alone
7/2 i have no idea how this graph would look
Click here to see answer by solver91311(16872)

Question 202514: Rachel hands in her 4th exam. the scores on her first three examns were 75,95,97.what foes she need to earn on the 4th exam to average at least a 90 on the four exams. contruct an inequality with the variable x representing the 4th score, the salvge the inquality for x.
Click here to see answer by rfer(12654)

Question 202585: Need help solving this problem in lowest terms:
4uz/3z÷8u/9z
My try:8/9u
Thanks

Click here to see answer by jim_thompson5910(28536)

Question 202589: Need helo with this equation please:
6+ 5/x-1=6/x+3
Not even sure where to start on this one!
Click here to see answer by solver91311(16872)

Question 202612: The quotient of two numbers is 12 and their sum is 91. Find the two numbers that satisfy the condition.
Click here to see answer by jsmallt9(3296)

Question 202507: Solve the following inequality for x. express your answer in interval notation.show algebriac steps: 2x- (7+x)<_x

my work= 2x- 7-x x-7 x-x-7 -7<0
interval notation: (7,0)

Click here to see answer by jsmallt9(3296)

Question 202668: I need help with this question,
{Find a number which is 150 greater than its opposite.}
The opposite of 150 is -150 right? so is the answer zero?
Click here to see answer by jim_thompson5910(28536)

Question 202610: Rose bought green mangoes at P50.00 a kilo and sold them at 4 for P35.00. If she sold 20 kilos and there is an average of 7 mangoes per kilo, how much did she earn?
Click here to see answer by ankor@dixie-net.com(15645)

Question 202755: Need help with this symbol manipulation problem please.
S=2B+Ph
Solve for h.
My try: 2B/Ph
h=2B?
Click here to see answer by jsmallt9(3296)

Question 202755: Need help with this symbol manipulation problem please.
S=2B+Ph
Solve for h.
My try: 2B/Ph
h=2B?
Click here to see answer by PRMath(123)

Question 202875: Hi I need help with an area of a trapezoid problem please.
The area of a trapezoid is given by
A=1/2h(a+b)
Solve for a.
Not even sure where to start on this one.
Click here to see answer by jim_thompson5910(28536)

Question 202957: Please help me solve this equation.
find f(1) for f(x)=2x^3-3x^2+x-21
Click here to see answer by jim_thompson5910(28536)

Question 202976: Pre-Algebra (24n). What does "n" represent?
Click here to see answer by solver91311(16872)

Question 203039: x-2y=-4
2x-y=1
Click here to see answer by RAY100(1637)

Question 203090: the sum of two numbers is 996. the difference of the larger and twice the smaller is 33. find the 2 numbers
Click here to see answer by stanbon(57282)

Question 203184: solving systems by the addition method:
x+ y = 10
2y=20-2x
Click here to see answer by stanbon(57282)

Question 203310: Please help me to solve by substitution or elimination method:
(1). 3x-2y=26
-7x+3y=-49
(2). 4x-5y=14
-12x+15y=-42
(3). -2x+6y=19
10x-30y=-15
Click here to see answer by stanbon(57282)

Question 203264: Simplify the complex fraction.
(a/b+c)/(a/b-c)= ?
(1/4+x)/(1/2)= ?
(1/3+1/5-1/7)/(1/x)= ?
(a/b+2+b/a)/(a/b-b/a)= ?

Click here to see answer by jsmallt9(3296)

Question 203323: Jane can paint a house in 4 hours. John can paint the same house in 6 hours. How long will it take to paint the house if they work together ?
Click here to see answer by checkley77(12569)

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