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

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Question 513254: Write an expression for the following.
After a 20% discount, an item was sold for $9600. What was the original price of the item?
this is what I tried....
p=original price
9600=p-20%
9600(.2)
9600=p-1920
+1920 +1920
11520=p

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Question 513353: how do i solve this: 5.6 equal 1.1p+1.2
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Question 513355: Forty students bought caps at the baseball game. Plain caps cost $4 each and deluxe ones cost $6 each. If the total bill was $236, how many students bought the deluxe cap?
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Question 513355: Forty students bought caps at the baseball game. Plain caps cost $4 each and deluxe ones cost $6 each. If the total bill was $236, how many students bought the deluxe cap?
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Question 513461: solve for a in terms of b when 2b=3(a-4)
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Question 513751: I am trying to help a friend with an algebra problem and am coming out with one answer, she's getting a 2nd and some computer thing at her school says a 3rd which neither of us can figure out. Here is the equation: 6{[3(n-15)+18]-[2(3n-3)+5]}. I'm getting -18n-156 as an answer. She is getting -18n+12 and the computer program at her school says -18n+24. HELP!! Thanks so much!!
Click here to see answer by Alan3354(30993) About Me 

Question 514247: y ≤ ax+b when (a<0) Solve for x.
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Question 514647: t/-2=1/2
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Question 514674: what is the varible, n, in this equation? -n-24=5-n
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Question 514779: Please help solve for x 1500=(120-2x)(x) Thanks
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Question 515137: Need help - x3 + x2 = 4x + 4, please?
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Question 515165: if the number of words that a word processing student can type in one minute is represented by the formulae W=35m+12 where m is the number of minutes and W is the number of words, how long would it take a student to type a 3000 word essay?
I think that they have made a mistake in the question because It does not make sense I think it is an error and meant to go M = 35w + 12.
Can you please help me work out this equation.

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Question 515122: Each person in the us produces 3.5 pounds of trash each day.
write an expression to describe the pounds of trash produced per day by a family with (m) member.

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Question 515285: x-1/x=6, then x^2+1/x^2=
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Question 515316: x t 2 =14 x-3y=9
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Question 515386: please help me figure it out #55 use substitution method
5x+2y=4
x=61-9y

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Question 515425: Could you please show work on how you get the answer for: One number is 4 less than 3 times another. Their sum is -16. Find the smaller.
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Question 515394: I need to find the domain of the function
I just cant get it right
^ means to the second power
p(x)=x^ -2x+7

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Question 515509: Hi..trying to help my son on his homework, and running into a bit of a wall on this one. I can intuit my way to the correct answer, but can't show how to get there algebraically.
"Samantha invested her $10,000 savings at two different banks for one year. She put part of the money in Bank A which paid 8% interest. The rest of the money was invested at 7% at Bank B.At the end of the year she had accumulated $735 in interest. How much money did she invest at Bank A? Hint:7% interest on an unknown amount of money is .07n."
I can get the answer (6500$ at 7%, %3500 at 8%), but I can't see how to write out the equation. Any help you can provide would be greatly appreciated, as we've spent three hours on this assignment already! :) Thank you again, we both greatly appreciate any time you give us!!!
-greg and gabe scott

Click here to see answer by stanbon(57282) About Me 
Question 515509: Hi..trying to help my son on his homework, and running into a bit of a wall on this one. I can intuit my way to the correct answer, but can't show how to get there algebraically.
"Samantha invested her $10,000 savings at two different banks for one year. She put part of the money in Bank A which paid 8% interest. The rest of the money was invested at 7% at Bank B.At the end of the year she had accumulated $735 in interest. How much money did she invest at Bank A? Hint:7% interest on an unknown amount of money is .07n."
I can get the answer (6500$ at 7%, %3500 at 8%), but I can't see how to write out the equation. Any help you can provide would be greatly appreciated, as we've spent three hours on this assignment already! :) Thank you again, we both greatly appreciate any time you give us!!!
-greg and gabe scott

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Question 515556: what is the answer of this equation 3/8-1/4=1/2t-3/4
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Question 515580: Write in slope-intercept form. y=mx+b
Through (1,2), parallel to y=5

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Question 515595: A doll was sold for $45 at a loss of 10%. What was the original price?
Original Price has to be greater than 45 since it was sold at a loss, so:
Loss was only 10%, so there was a 'gain' of 90%, for want of a better term.
So 90% of some number gives a loss of 45.
0.9(some number) = 45
some number = 45%2F0.9
some number = 50
I'm not really comfortable with this method. Could I be, kindly, shown alternatives?

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Question 515719: Solve the equation for y. Then find the value for y for each value x.
4x=3y-7; x= a, 5, 6

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Question 515722: Solve the equation for y. Then find the value for y for each value x.
6x=7-4y; x= -2, -1, 0

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Question 515716: solve for x
ax-x=c
Here is what I've come up with... x=c/a-1
Is this correct?

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Question 515720: Solve the equation for y. Then find the value for y for each value x.
2y+7x=4; x= 5, 10, 15

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Question 515859: how do I simplify
8x+2(2x+2)

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Question 515862: 1/4 + 2/5 x + 1= 2 1/4
( One fourth plus two fifths times "variable x" plus one equals two and one fourth
solve for "x")

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Question 516245: 9ab/3a+6 x a^2-4a-12/a^2-6a
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Question 516666: Under what circumstances would I need to use algebraic expressions, equations, and formulas? Why are they so confusing?
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Question 516655: please help me slove this equation: 5(w-1/5)-w(9)
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Question 516884: Solve the equation for the variable:
x^2+2x =63

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Question 517127: Simplify by removing factors of 1
q^2-81/(q+9)^2

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Question 517128: Solve
15x^4-11x^2+2=0
Use radicals as needed exact answer, comma to separate answers

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Question 517264: Help me with simplifying : 3x - 2 = 42 ?
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Question 517281: 14=d-6
-----
2

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Question 517348: 4(2a-1)=-10(a-5)

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Question 517345: Ben was hired to shovel 100 tons of caol. He has been shoveling coal at the rate of 16 tons per day. After 3 days his brother char joins him so they can finish the job faster. Char can shovel 10 tons per day.
The Question is: Find the amount of the 100 tons shoveled by each brother and the amount of time each brother works shoveling coal?

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Question 517727: Three consecutive integers such that the sum of the smallest and three times the largest is 66 ???
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Question 517815: how do i solve for: 7a,for a = 465
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Question 517820: x^3=-3x^2+10x
So, I don't know if I'm doing this right...
-3x^2+10x-x^3=0
x(-x^2-3x+10)=0
x(-x-2)(-x-5)
-x-2=0 -x-5=0
The -x doesn't seem right...is it?

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Question 517840: Is it possible to solve
9n-7=5n+5
if so how?

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Question 517951: if a rectangular table with an area of 35sq ft has a width that is 2 ft less than the length what are the dimensions of the table.
I think it is written
2(l x l-2)=35 let me know if I doing this right and I need help with steps

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Question 518481: how do i solve -2/3x=72?????
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