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unlockmath answered: 1613 problems
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1 solutions
Answer 246088 by unlockmath(1614)   on 2010-09-16 12:10:49 (Show Source):
You can put this solution on YOUR website!Hello,
Let x be one number and y be the other so we can set up 2 equation:
x=y+3
x^2+y^2=17
Substitute the first into the second equation:
(y+3)^2 +y^2=17
Rewrite this as:
y^2+6y+9+y^2-17=0
Now combine like terms:
2y^2+6y-8=0
Factor this to get:
(2y+8)(y-1)=0
Solve for y:
y=1
y=-4
The only number that works here is:
y=1 So x=4
Make sense?
RJ
www.math-unlock.com
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Polynomials-and-rational-expressions/343980: the lenght of a rectangular sheet of paper is 1 cm more than twice its width and the area of the rectangle is 105 sq. cm.. Find the length of the rectangle.
1 solutions
Answer 246078 by unlockmath(1614) on 2010-09-16 11:31:06 (Show Source):
You can put this solution on YOUR website!Hello,
Let's have x represent the width. Now we can set up an equation as:
x(2x+1)=105
Multiply this out to get:
2x^2+x=105
Subtract 105 from both sides to get:
2x^2+x-105=0
This can be factored to:
(2x+15)(x-7)=0
Solve for x to get:
x=7
x=-15/2
Obviously, only 7 works as the answer so the width is:
7 cm and length is 15 cm
Make sense?
RJ
www.math-unlock.com
|
Trigonometry-basics/343323: 150 is what percent of 750?
1 solutions
Answer 245651 by unlockmath(1614) on 2010-09-15 00:27:46 (Show Source):
You can put this solution on YOUR website!Hello,
(Here's a hint that might help you out with these kind of problems.
"is" means equal (=)
"of" means multiply)
OK, so let x represent the percentage and the equation is:
150=750x
Divide both sides by 750 to get:
x=.2 or in percentage it's 20%
make sense?
RJ
www.math-unlock.com
|
Signed-numbers/342759: If the temp is decreasing 2 degrees each hour for 3 hours,
what product of signed numbers represents the temp change?
Use signed numbers.
Thanks
1 solutions
Answer 245349 by unlockmath(1614) on 2010-09-14 00:41:47 (Show Source):
You can put this solution on YOUR website!Hello,
The expression would look like this when x is the temperature.
x-3(2)
I'm not sure what you mean by "signed numbers."
RJ
www.math-unlock.com
|
Linear_Equations_And_Systems_Word_Problems/342797: Your salary is $1250 per week and you receive a 5% commission on your sales each week. What are the possible amounts (in dollars) that you can sell each week to earn at least $1500 per week?
1 solutions
Answer 245341 by unlockmath(1614) on 2010-09-14 00:29:27 (Show Source):
You can put this solution on YOUR website!Hello,
Let's have x be the amount of sales each week.Now we can set up this equation as:
1250 + .05x >= 1500
Subtract 1250 from both sides to get:
.05x >= 250
Now divide both sides by .05 to result in:
x >= 5000
So the possible amount of sales would be $5000 or more to get at least $1500.
Make sense?
RJ
www.math-unlock.com
|
Angles/342798: One angle in a triangle is four times as great as a second angle. The third angle measures 5 degrees more than twice the second angle. Find the measures of the angles.
1 solutions
Answer 245338 by unlockmath(1614) on 2010-09-14 00:16:52 (Show Source):
You can put this solution on YOUR website!Hello,
We can let x represent the second angle. Also we know every triangle has 180 degrees so the equation will look like:
x + 4x + (2x+5) = 180
Combine like terms and subtract 5 from both sides to get:
7x=175
Now divide both sides by 7 to result in:
x=25 degrees for the second angle
Other two angles are: 100 and 55 degrees.
Make sense?
RJ
www.math-unlock.comn
|
Equations/341838: the second angle of a triangle is 5 times the measure of the first and the third angle is 4 less than twice the first. what is the measure of the second angle?
1 solutions
Answer 244744 by unlockmath(1614) on 2010-09-11 23:09:34 (Show Source):
You can put this solution on YOUR website!Hello,
Let's have x represent the first angle. We know every triangle has 180 degrees so we can set up the following equation:
x + (5x) + (2x-4) = 180
Combine like terms to get:
8x-4=180
Add 4 to both sides and divide by 8 to get:
x=23 degrees
The second angle is 115 degrees.
Make sense?
RJ
www.math-unlock.com
|
Equations/341483: 2 + 5w-7v/7w - 8w-v/3w
Express as a single fraction in lowest terms
1 solutions
Answer 244583 by unlockmath(1614) on 2010-09-10 20:12:01 (Show Source):
You can put this solution on YOUR website!Hello,
The first trick is to set all these {2 + 5w-7v/7w - 8w-v/3w} to fractions with the same denominator as follows:
42w/21w + 105w^2/21w - 21v/21w - 168w^2/21w - 7v/21w
Now we can rewrite this as:
(-63w^2 +42w-28v)/21w
Rewritten as:
7(-9w^2+6w-4v)/21w
This reduces to:
(-9w^2+6w-4v)/3w
Did you follow this?
RJ
www.math-unlock.com
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Inequalities/341529: Hello, I am having problems with my homework especially number 3 the question states: solve inequality 3(1+x)<2[3(x+2)-(x+1)]
1 solutions
Answer 244580 by unlockmath(1614) on 2010-09-10 19:49:14 (Show Source):
You can put this solution on YOUR website!Hello,
Let's expand this out. 3(1+x)<2[3(x+2)-(x+1)] to look like:
3+3x<(6x+12)-(2x+2)
Are you with me so far? OK, Now rewrite this as:
3+3x<4x+10
Now subtract 3x and 10 from both sides to get:
x>-7
Make sense?
RJ
www.math-unlock.com
|
Rectangles/338462: the perimeter of a rectangle is 70 inches, and the length is 13 less than twice the width. write a system of 2 equation and solve to find the dimension.
1 solutions
Answer 242639 by unlockmath(1614) on 2010-09-03 00:12:35 (Show Source):
You can put this solution on YOUR website!Hello,
Let's have x be one side (length) and y (width) be the other so now we can write 2 equations as:
2x+2y=70
x=2y-13
Are you with me?
Now with the second equation subtract 2y from both sides to get:
x-2y=-13
Now add this to the first to get:
3x=57
Divide by 3 to get:
x=19
Plug 19 into the second equation and we get:
y=16
So now we know the width is 16 inches and the length is 19 inches.
Make sense?
RJ
www.math-unlock.com
|
Geometry_Word_Problems/338510: If a 5-cm piece of wire is cut into two parts so that one part is four times as long as the other, what is the length of the longer part?
1 solutions
Answer 242636 by unlockmath(1614) on 2010-09-03 00:00:45 (Show Source):
You can put this solution on YOUR website!Hello,
Let's have x represent the shorter part. So now we can set up an equation as:
x+4x=5
Combine terms and divide by 5 to get:
x=1
There we go. The shorter is 1 cm and the other is 4 cm
Make sense?
RJ
www.math-unlock.com
|
expressions/336520: find the value of expression
3{3^2+6(2+5)}
1 solutions
Answer 241199 by unlockmath(1614) on 2010-08-29 23:23:52 (Show Source):
You can put this solution on YOUR website!Hello,
Do the parenthesis () first.
3{3^2+6(2+5)} so it will be:
3{3^2+6(7)}
Now do the exponent:
3{9+6(7)}
Now multiply 6(7) to get:
3{9+42}
Do the bracket:
3(51)
and now multiply and we get:
153
Make sense?
RJ
www.math-unlock.com
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test/336049: A 3' by 6' picnic table is placed on a outdoor patio measuring x' by x+3'. Find a polynomial for the remaining open space on the patio. How would I write this out?
1 solutions
Answer 241000 by unlockmath(1614) on 2010-08-28 22:33:29 (Show Source):
You can put this solution on YOUR website!Hello,
First let's find the area of the patio. It will be:
x(x+3) rewritten as:
x^2+3x
Now find the area of the picnic table.
3 times 6 is:
18
So we subtract 18 from x^2+3x to look like this:
x^2+3x-18
OK there is the polynomial.
Make sense?
RJ
www.math-unlock.com
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Numbers_Word_Problems/334281: 198 is three quarters of what sum?
1 solutions
Answer 239523 by unlockmath(1614) on 2010-08-23 19:39:54 (Show Source):
You can put this solution on YOUR website!Hello,
When we do these type of problems the words can be translated into algebraic symbols for example "is" means "=" "of" means multiply. Let's use x for the unknown.
198=3/4(x)
Multiply both sides by 4/3 to get:
264=x
There we go the answer is 264
Make sense?
RJ
www.math-unlock.com
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