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-3x-y=-10
4x-4y=8
(-1,3)or (1,3) or (3,-1) or (3,1)
I forgot how to solve and I have finals this week...
Thanks for any help...
Angelia
1 solutions
Answer 258245 by mananth(12269)   on 2010-10-27 00:05:25 (Show Source):
You can put this solution on YOUR website!-3x-y=-10...................1
4x-4y=8.....................2
multiply equation 1 by-4
12x+4y=40
add it to 2
16x=48
x=3
plug value of x in 1
-9-y=-10
y=1
(3,1) is the solution
...
if you need to solve by graphing then generate 3 values of y for various values of x for both equations Example
1. (1, 7) (2 ,4)
2.(1-1)
...
m.ananth@hotmail.ca
|
Numeric_Fractions/362386: and this other one i don't get is::
3x+7=2x-7?
how do you do this step by step so i'll be prepared for the test tomorrow?
1 solutions
Answer 258242 by mananth(12269) on 2010-10-26 23:54:36 (Show Source):
You can put this solution on YOUR website!3x+7=2x-7
bring all the terms on one side and constants on other side.
add -7 to both sides
3x+7-7=2x-7-7
3x=2x-14
add -2x to both sides
3x-2x=2x-2x-14
x=-14
..
all the best
..
m.ananth@hotmail.ca
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Word_Problems_With_Coins/362371: A coin collection totals $5.60, and consists of 35 coins. The number of dimes and the number of nickels is the same, and the number of quarters is one less than twice the number of dimes (or nickels). Find the number of each type of coin in the collection.
1 solutions
Answer 258240 by mananth(12269) on 2010-10-26 23:51:39 (Show Source):
You can put this solution on YOUR website!A coin collection totals $5.60, and consists of 35 coins. The number of dimes and the number of nickels is the same, and the number of quarters is one less than twice the number of dimes (or nickels).
...
A coin collection totals $5.60,
consists of 35 coins.
The number of dimes and the number of nickels is the same, =x
and the number of quarters is one less than twice the number of dimes 2x-1
..
x+x+2x-1=35
4x-1=35
4x=36
x= 9 dimes = nickels
quarters = 35-(9+9)
17 quarters
17*25+9*10+9*5= 560
,,,
m.ananth@hotmail.ca
|
Average/362378: If the average of 8,11,25 and p is 15, then 8+11+25+p=?. Is there any way of doing this type of problem without just guessing numbers and putting them in there?
1 solutions
Answer 258223 by mananth(12269) on 2010-10-26 23:10:55 (Show Source):
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Quadratic_Equations/362374: (x-3)(x+5)=7 i need to solve this problem. I tried factoring it out but it doesnt work so i need to use the quadratic equation to find the answers
1 solutions
Answer 258218 by mananth(12269) on 2010-10-26 23:07:45 (Show Source):
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Miscellaneous_Word_Problems/362372: How many litres of a 12% alcohol solution must be mixed with 8 litres of a 3% alcohol solution to make a 9% solution
12x/100 + 8 . 3 / 100 = (x + 8 ). 9 / 100
12x + 24 = 9(x+8)
3x = 48
x = 16
1 solutions
Answer 258216 by mananth(12269) on 2010-10-26 23:02:48 (Show Source):
You can put this solution on YOUR website! 12% alcohol solution - x litres
mixed with 8 litres of a 3%
mix 9% solution (x+8)litres
..
0.12x+8*0.03=0.09(x+8)
0.12x+0.24=0.09x+0.72
0.03x=0.72-0.24
0.03x=0.48
x=0.48/0.03
x=16 litres of 12% alchohol
...
m.ananth@hotmail.ca
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Evaluation_Word_Problems/362368: hello i was wondering if anyone could help me with this word problem that i have been struggling with. it reads: find two whole numbers whose product is 15 such that one of the numbers is seven more than four times the other number. thank you for your time, it is greatly appreciated.
1 solutions
Answer 258211 by mananth(12269) on 2010-10-26 22:57:43 (Show Source):
You can put this solution on YOUR website!let the number be x& y
xy=15
x=15/y
..
x=4y+7
plug value of x
15/y=4y+7
15=y(4y+7)
15=4y^2+7y
4y^2+7y-15=0
4y^2+12y-5y-15=0
4y(y+3)-5(y+3)=0
(y+3)(4y-5)
so y =-3
...
plug value of y in the equation
x= -5
...
m.ananth@hotmail.ca
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Linear-equations/362369: If the first and third of consecutive even integers are added, the result is 22 less than three times the second integer. Find the integers
1 solutions
Answer 258206 by mananth(12269) on 2010-10-26 22:51:21 (Show Source):
You can put this solution on YOUR website!If the first and third of consecutive even integers are added, the result is 22 less than three times the second integer. Find the integers
let x,x+1,x+2 be the integers
...
x+x+2=3(x+1)-22
2x+2=3x+3-22
3x-2x=22-3+2
x=21
...
the integers are 21,22,23
..
m.ananth@hotmail.ca
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Quadratic_Equations/362320: What's the quadratic equation if X=2+i square root of 11, X= 2-i square root of 11
1 solutions
Answer 258189 by mananth(12269) on 2010-10-26 21:20:31 (Show Source):
You can put this solution on YOUR website!X=2+i square root of 11
square
(x-2)^2=i^2*11
x^2-4x+4=-1*11
x^2-4x+4 =-11
x^2-4x+15=0
...
m.ananth@hotmail.ca
..
X= 2-i square root of 11
x-2=-i*sqrt11
(x-2)^2=-i^2*11
x^2-4x+4=11
x^2-4x-7=0
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Linear-systems/362314: For the following problem, the slope and one point on a line are given. Use the point-slope form to find the equation of the line. (Write your answers in slope-intercept form.)
(-8,-1), m = -1/4
1 solutions
Answer 258184 by mananth(12269) on 2010-10-26 21:12:29 (Show Source):
You can put this solution on YOUR website!the equation is given by
(y-y1)=m(x-x1)
..
(-8,-1), m = -1/4
..
y-(-1)=(-1/4)*(x-(-8))
y+1=(-1/4)(x+8)
y+1=-x/4 -2
y=(-x/4)-3
...
m.ananth@hotmail.ca
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Finance/362298: An automolbile buyer is trying to decide whether to buy a new car and finance it for 5 years at 7% interest or a used car costing $11500 less at 11% for 2 years. The new car load will cost $5130 more in interest than the used car loan. Find the cost of each car
1 solutions
Answer 258177 by mananth(12269) on 2010-10-26 21:01:30 (Show Source):
You can put this solution on YOUR website!An automolbile buyer is trying to decide whether to buy a new car and finance it for 5 years at 7% interest or a used car costing $11500 less at 11% for 2 years. The new car load will cost $5130 more in interest than the used car loan. Find the cost of each car
...
let new car price be $x
interest on this car = 0.07*x*5=0.35x
...
used car
price = x-11500
interest = 0.11*(x-11500)**2
..
0.35x - 0.11*(x-11500)*2=5130
0.35x-0.22x+2530=5130
0.13x=2600
x=2600/0.13
x=$ 20,000 new car
..
old car = $,9500
...
m.ananth@hotmail.ca
.
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Finance/362295: An investor placed her money in a venture paying 7% interest. If she had another $1500, she would have been able to invest her money at 10% and gain an additional $255 in annual interest. How much did she invest
1 solutions
Answer 258170 by mananth(12269) on 2010-10-26 20:51:47 (Show Source):
You can put this solution on YOUR website!An investor placed her money in a venture paying 7% interest. If she had another $1500, she would have been able to invest her money at 10% and gain an additional $255 in annual interest. How much did she invest
...
let her invest $x
x+1500 @ 10%
interest she would have gained = 255+0.07x
..
(x+1500)*0.1=225+0.07x
0.1x+150=225+0.07x
0.1x-0.07x=225-150
0.03x=75
x=75/0.03
x=2500 amount she invested
...
m.ananth@hotmail.ca
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Equations/362289: Envelope stuffing. Every week, Linda must stuff 1000
envelopes. She can do the job by herself in 6 hours. If
Laura helps, they get the job done in 5 1/2 hours.
How long would it take Laura to do the job by herself ?
1 solutions
Answer 258165 by mananth(12269) on 2010-10-26 20:42:24 (Show Source):
You can put this solution on YOUR website!linda can do the job by herself in 6 hours.
If Laura helps, they get the job done in 5 1/2 hours.
...
linda can do 1/6 of the job in 1 hour.
together they can do 2/11 of the job in 1 hour
..
2/11-1/6
LCM =66
(12-11)/20
1/20 of the job
so Laura can do the job in 20 hours alone
...
m.ananth@hotmail.ca
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Evaluation_Word_Problems/362283: On the first of three tests, Charlotte scored 72 points. On the third test, her score was one point more than on her second test. Her average on the three tests were 83. What were her scores on the second and third tests?
1 solutions
Answer 258159 by mananth(12269) on 2010-10-26 20:34:37 (Show Source):
You can put this solution on YOUR website!On the first of three tests, Charlotte scored 72 points. On the third test, her score was one point more than on her second test. Her average on the three tests were 83. What were her scores on the second and third tests?
..
average on 3 tests = 83
so total = 249
..
first = 72
second x
third = x+1
...
x+x+1+72=249
2x+73=249
2x=249-73
2x=176
/2
x=88 second test
third = 89
...
m.ananth@hotmail.ca
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Numbers_Word_Problems/362275: a wire is 224cm long is cut into three pieces the first is twice as long as the second the third is one-half as long as the second how long is the second piece?
1 solutions
Answer 258154 by mananth(12269) on 2010-10-26 20:30:20 (Show Source):
You can put this solution on YOUR website!a wire is 224cm long is cut into three pieces the first is twice as long as the second the third is one-half as long as the second how long is the second piece?
..
let second be x cm
first = 2x
third = x/2
..
x+2x+(x/2)=5x/2
7x/2=224
multiply by 2
(7x/2)*2 = 224*2
5x=448
/7
x=64
x=64 cm the second part
first part = 2x = 64*2=128 cm
third part = x/2 = 64/2=32 cm
...
m.ananth@hotmail.ca
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Inverses/362266: The team gained 22 yards on the first play and lost 9 yards on the second. What was their net gain or loss?
1 solutions
Answer 258143 by mananth(12269) on 2010-10-26 20:13:45 (Show Source):
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Polynomials-and-rational-expressions/361944: I just turned 16, and I've been on a homeschooling program for about a year and a half now. I do really well with all of the work except one class! I have always struggled with math, algebra in specific. As of right now I'm a senior and I will graduate in June if I stay on track. Which will be super early for me! My only issue is my algebra class, it's holding me back and may keep me from graduating! =[
Please help me!
As of right now I'm factoring polynomials which hardly makes sense to me!
1. 8x+12y-2x^-3xy
2.9x^-16
3.14x^-7x to the third? Idk how to type powers so I'm using ^ as to the second, and anything else I'm just going to type out...
4. x^-6x-5
5. 4x^-12xy+9y^
Please help me!
1 solutions
Answer 257990 by mananth(12269) on 2010-10-26 10:46:45 (Show Source):
You can put this solution on YOUR website!1. 8x+12y-2x^2-3xy
4(2x+3y)-x(2x+3y)
(2x+3y)(4-x)
2.9x^2-16
difference of two squares
(3x)^2-(4)^2
(3x+4)(3x-4)
3.14x^2-7x^3
7x^2(2-x)
4. x^2-6x-5 ( i think this should be +5) OR this can be solved by quadratic formula.( I have assumed +5)Please check
x^2-5x-x+5
x(x-5)-1(x-5)
(x-5)(x-1)
5. 4x^2-12xy+9y^2
(2x-3y)^2
Please help me!
m.ananth@hotmail.ca
|
Miscellaneous_Word_Problems/361922: You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount. There is also a $10 non-taxable disposal fee for your old tires, which the mechanic tells you is not subject to discount.
Write a function, t(x) for the total purchase amount after taxes but before discounts and fees.Does it matter whether the mechanic adds the tax first or takes the discount first?
I really need some help with this problem everything I have tried hasn't been right.
1 solutions
Answer 257960 by mananth(12269) on 2010-10-26 09:26:24 (Show Source):
You can put this solution on YOUR website!tyre = $300
let x be the tyre cost
tax = 6%
function with no discount and fees
t(x)= x+0.06x
...
BEFORE DISCOUNT
Price 300 add 6% tax = 318
discount 10% = 31.8
318-31.8=$286.2
..
AFTER DISCOUNT
price = 300
10% discount
price = 300-30=270
270*1.06 =286.2
..
how does it matter ?
m.ananth@hotmail.ca
...
m.ananth@hotmail.ca
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Miscellaneous_Word_Problems/361926: F=(9/5)*C (degrees)+32
Find the F temp if it is 32degrees Celsius
ALso what if the temp is -40degreesF, what woulld it be in celsius
1 solutions
Answer 257958 by mananth(12269) on 2010-10-26 09:10:30 (Show Source):
You can put this solution on YOUR website!F=(9/5)*C (degrees)+32
plug the value of C in the equation
F=(9/5)*32+32
F=57.6+32
F=89.6 deg
......
ALso what if the temp is -40degreesF, what woulld it be in celsius
-40=(9/5)*C +32
add -32
-40-32= 9/5*c
-72=9/5*c
5*-72/9 =C
c= -40 deg
...
m.ananth@hotmail.ca
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Linear-equations/361915: can you please explain the steps
write an equation for the line through the point (1,1) and perpendicular to the line 2x+y=9
thank you
1 solutions
Answer 257957 by mananth(12269) on 2010-10-26 08:58:55 (Show Source):
You can put this solution on YOUR website!write an equation for the line through the point (1,1) and perpendicular to the line 2x+y=9
2x+y=9
add -2x
y=-2x+9
compare this with slope m of y = mx+b
m=-2 the slope
slope of perpendicular line = 1/2
...
equation of line
y-y1=1/2(x-x1)
y-1=1/2(x-1)
2(y-1)=x-1
2y-2=x-1
add2
2y=x-1+2
2y=x+1
y=x/2 +1/2 is the line
...
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Miscellaneous_Word_Problems/361912: A class consists of 1/4 freshmen,1/5 sophomores, and 1/10
juniors; the rest are seniors. What fraction of the class is
seniors?
1 solutions
Answer 257956 by mananth(12269) on 2010-10-26 08:47:25 (Show Source):
You can put this solution on YOUR website!A class consists of 1/4 freshmen,1/5 sophomores, and 1/10
juniors; the rest are seniors. What fraction of the class is
seniors?
Add all the three
(1/4)+(1/5)+(1/10)
LCM = 20
(5+4+2)/20
=11/20
..
1-(11/20) will be seniors
LCM = 20
(20-11)/20
=9/20 are seniors
...
m.ananth@hotmail.ca
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Numbers_Word_Problems/361910: Solve,fill in table,translate into an equation.
-The larger of two numbers is 2 less than 3 times the smaller.
extra stuff: Find the numbers if their sum is 42.
i have the smaller numbers. x,60,8,3. i need the 4 larger numbers and the sums of all 4 numbers.
-please help
1 solutions
Answer 257955 by mananth(12269) on 2010-10-26 08:43:48 (Show Source):
You can put this solution on YOUR website!let larger number be x
smaller number be y
x+y=42....................1
x=3y-2
x-3y=-2...................2
..
multiply 1 by 3
3x+3y=126
add this to 2
4x=126-2
4x=124
/4
x=31
y= 11
The numbers are 31&11
...
m.ananth@hotmail.ca
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Miscellaneous_Word_Problems/361900: The area of a garden is 1920 square feet, and the length of its diagonal is 68 feet. Find the dimensions of the garden.
1 solutions
Answer 257954 by mananth(12269) on 2010-10-26 08:37:53 (Show Source):
You can put this solution on YOUR website!The area of a garden is 1920 square feet, and the length of its diagonal is 68 feet. Find the dimensions of the garden.
..
area = L*W=1920
diagonal = 68
..
L=1920/W
..
use pythagoras theorem
(1920/w)^2+w^2=68^2
3686400 +w^4=4625w^2
w^4-4625^2+3686400=0
use quadratic formula
discriminant = 6605025
x1=(4625+sqrt(6645025))/2
x1=w^2 (taking only positve values of w^2)& rounding off The decimals
x1= 3601.39
Take square root we w=60
length = 1920/60
Length = 30
The dimensions are 60 by 32
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m.ananth@hotmail.ca
60*32= 1920
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