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Angles/550788: the degree measure on an angle exceeds 3 times the degree measure of its complement by 32. find the degree measure of the angle.
1 solutions
Answer 359093 by mananth(12270)   on 2011-12-29 01:13:09 (Show Source):
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Angles/550790: the degree measure on an angle exceeds 3 times the degree measure of its complement by 33. find the degree measure of the angle.
1 solutions
Answer 359092 by mananth(12270) on 2011-12-29 01:09:49 (Show Source):
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Travel_Word_Problems/550791: I can't figure this out and I can't find my notes. Bob rode 3 miles in 2/3 of an hour. Jill rode 3 miles in 2/3 of Bob's time. How much time did it take for Jill to ride 3 miles? Thanks in Advance
1 solutions
Answer 359091 by mananth(12270) on 2011-12-29 01:06:47 (Show Source):
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Percentage-and-ratio-word-problems/550775: A sum of money was to be shared among three persons P, Q & R in the ratios of 2:5:9. If R receives $2,170 more than P. Calculate (I) the sum of money shared. (II) P's share. (III) % of the total that Q receives.
1 solutions
Answer 359078 by mananth(12270) on 2011-12-28 22:38:51 (Show Source):
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Linear-equations/550676: Write an equation of the line perpendicular to the line given by 2x +3y =7 and having the same y-intercept as the line given 5x+ 2y =10
1 solutions
Answer 359057 by mananth(12270) on 2011-12-28 20:31:20 (Show Source):
You can put this solution on YOUR website!2x +3y =7 and having the same
y-intercept of line
5x+ 2y =10
2y=-5x+10
y=(-5/2)x +5
plug x=0
y=5
y intercept (0,5)
2 x + 3 y = 7
Find the slope of this line
3 y = -2 x + 7
Divide by 3
y = -0.667 x + 2.33
Compare this equation with y=mx+b
slope m = -0.67
The slope of a line perpendicular to the above line will be the negative reciprocal 1.5
m1*m2=-1
The slope of the required line will be 3/2
m= 3/2 ,point ( 0 , 5 )
Find b by plugging the values of m & the point in
y=mx+b
5 = 0.00 + b
b= 5
m= 3/2
The required equation isy = 3/ 2x + 5
m.ananth@hotmail.ca
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Linear-equations/550717: 10x + 5y = 52.5
30x – 7y = 80.5
1 solutions
Answer 359056 by mananth(12270) on 2011-12-28 20:24:46 (Show Source):
You can put this solution on YOUR website!10 x + 5 y = 52.5 .............1
30 x -7 y = 80.5 .............2
Eliminate y
multiply (1)by 7
Multiply (2) by 5
70 x 35 y = 367.5
150 x -35 y = 402.5
Add the two equations
220 x = 770
/ 220
x = 3.50
plug value of x in (1)
10 x + 5 y = 52.5
35 + 5 y = 52.5
5 y = 52.5 -35
5 y = 17.5
y = 3.50
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Linear-equations/550715: solve the system of equations by graphing then classify the system: y=-x-8 9x-8y=-38
1 solutions
Answer 359054 by mananth(12270) on 2011-12-28 20:21:31 (Show Source):
You can put this solution on YOUR website!1 x + 1 y = -8 .............1
9 x -8 y = -38 .............2
equation1
when x= 0 y= -8 ( 0 , -8 )
when y = 0 x= -8 ( -8 , 0 )
Equation 2
when x= 0 y= 4.75 ( 0 , 4.75 )
when y = 0 x= -4.22 ( -4.22 , 0 )
Solution ( -6,-2)
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Word_Problems_With_Coins/550725: Could you please help me with this question:Christopher Columbus just spent 20 pieces of silver at the Mariner's Mall. He bought a hat, a cape, and a spyglass. The spyglass cost 9 more pieces of silver than the cape. The spyglass and the cape together cost 16 more pieces of silver than the
hat. How much did Christopher Columbus pay for his hat?
1 solutions
Answer 359051 by mananth(12270) on 2011-12-28 20:04:12 (Show Source):
You can put this solution on YOUR website!Let cape cost x
spy glass , x+9
Hat = (2x+9-16)=2x-7
x+x+9+2x-7=20
4x+2=20
4x=18
x=4.5--------- cape
spy glass ---- 9+4.5 = 13.5
Hat = 2
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Linear-equations/550755: 10x + 7y = -120.5
-20x – 14y = 241
1 solutions
Answer 359049 by mananth(12270) on 2011-12-28 19:56:12 (Show Source):
You can put this solution on YOUR website!10 x + 7 y = -120.5 .............1
-20 x -14 y = 241 .............2
Eliminate y
multiply (1)by 2
Multiply (2) by 1
20 x 14 y = -241
-20 x -14 y = 241
Add the two equations
0 x = 0
This is absurd
so the system has no solution. The lines are parallel
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Mixture_Word_Problems/550733: A chemist is mixing a solution that is 2% acid and another solution that is 8% acid. He needs to make 75 mL of a solution that is 5% acid. How much of each solution should he use? Solve and write a system of equations to model the situation.
1 solutions
Answer 359048 by mananth(12270) on 2011-12-28 19:52:54 (Show Source):
You can put this solution on YOUR website!percent percentage ---------------- quantity
Acid type I 2 ---------------- x ml
Acid type II 8 ---------------- 75 - x ml
Mixture 5.00% ---------------- 75
2x+8(75-x)=5*75
2x+600-8x= 375
2x-8x=375-600
-6x=-225
/-6
x = 37.5 ml 2.00% Acid type I
37.5 ml 8.00% Acid type II
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Linear-equations/550740: I need help please!!!!
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this -x + 4y = 0.5 -3x – 6y = 10.5
1 solutions
Answer 359044 by mananth(12270) on 2011-12-28 19:44:16 (Show Source):
You can put this solution on YOUR website!-1 x + 4 y = 0.5 .............1
3 x -6 y = 10.5 .............2
Eliminate y
multiply (1)by 3
Multiply (2) by 2
-3 x 12 y = 1.5
6 x -12 y = 21
Add the two equations
3 x = 22.5
/ 3
x = 7.50
plug value of x in (1)
-1 x + 4 y = 0.5
-7.5 + 4 y = 0.5
4 y = 0.5 + 7.5
4 y = 8
y = 2
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Equations/550748: What is the slope of a line perpendicular to the line 4x - 3y = 5?
1 solutions
Answer 359037 by mananth(12270) on 2011-12-28 19:29:12 (Show Source):
You can put this solution on YOUR website!4 x -3 y = 5
Find the slope of this line
-3 y = -4 x + 5
Divide by -3
y = 4/3 x -1.67
Compare this equation with y=mx+b
slope m = 4/3
m1*m2=-1
The slope of a line perpendicular to the above line will be the negative reciprocal -3/4
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Graphs/550747: CAN SOMEONE PLEASE HELP ME AND SHOW ME HOW TO WORK OUT THESE PROBLEMS.I IF U BREAK IT DOWN FOR ME I WILL UNDERSTAND IT BETTER.
SKETCH A GRAPH OF Y=(X/2)-1. INCLUDE THE SLOPE AND BOTH INTERCEPTS.
THANK YOU!
1 solutions
Answer 359036 by mananth(12270) on 2011-12-28 19:24:44 (Show Source):
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Average/550624: perform the indicated operation and if possible, simplify. please shoeall of your work. write your final answer exactly as a fraction in lowest terms.
32/85 / 50/51
1 solutions
Answer 358906 by mananth(12270) on 2011-12-28 10:14:42 (Show Source):
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Travel_Word_Problems/550591: A boat travels 60 miles downstream in The same time it takes to go 36 miles upstream. The speed of The boat in still water is 15 mph greater than The speed of The current. Find The speed of The current.
1 solutions
Answer 358901 by mananth(12270) on 2011-12-28 08:47:37 (Show Source):
You can put this solution on YOUR website!let speed of current be x
speed of boat be y
y-x=14..........(1)
60/(y+x)= 36/(y-x)
60(y-x)=36(y+x)
/12
5(y-x)=3(y+x)
5y-5x=3y+3x
2y-8x=0
/2
y-4x=0..........(2)
multiply (1) by -4
-4y+4x=-56
add this equation to (2)
-3y=-56
y=18.66 mph
y-x=14
18.66-x=14
x=4.66 mph
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absolute-value/550596: Widgets sell for $4 with a $9 shipping charge added on the order.
1. Write an equation that gives the total cost of an order in terms of the number of widgets. Use x to represent the number of ordered widgets and use y to represent the total cost in dollars.
2. Use the equation to find the total cost of an order of 12 widgets. Show all work and use complete sentences in your answer.
Use your equation to find the total cost of an order of 257 widgets. Show all work.
3. Use the equation to find the number of widgets that can be ordered for $89. Show all work.
4. Use the equation to find the widgets that can be ordered for %2069. Show all your work.
1 solutions
Answer 358900 by mananth(12270) on 2011-12-28 08:30:44 (Show Source):
You can put this solution on YOUR website!Widgets sell for $4 with a $9 shipping charge added on the order.
1. Write an equation that gives the total cost of an order in terms of the number of widgets. Use x to represent the number of ordered widgets and use y to represent the total cost in dollars.
C(x)=9+4x
2. Use the equation to find the total cost of an order of 12 widgets. Show all work and use complete sentences in your answer.
C(12)= 9+12*4
C(12)=57
Use your equation to find the total cost of an order of 257 widgets. Show all work.
C(257)=4*257+9
=1037
3. Use the equation to find the number of widgets that can be ordered for $89. Show all work.
C(x)=9+4x
89=4*x+9
89-9=4*x
80=4x
/4
x=20 widgets
4. Use the equation to find the widgets that can be ordered for %2069. Show all your work.
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Surface-area/550584: a rectangular shaped swimming pool is 12.5meters long and 10.5meters wide when my sister swims from one corner to the other corner diagonally opposite , how many meters to the nearest tenth of a meters does she swim ? . (please with solutions )
1 solutions
Answer 358885 by mananth(12270) on 2011-12-28 05:45:01 (Show Source):
You can put this solution on YOUR website!Pythagoras theorem states that
The diagonal and the sides of the pool form a right triangle
Hypotenuse ^2= leg1^2+leg2^2
leg1 = 12.5 m
Leg2^2= 10.5 m
Diagonal ^2= 12.5 ^2 + 10.5 ^2
Diagonal ^2= 156.25 + 110.25
Diagonal ^2= 266.5
take the square root
Diagonal= 16.3 m
she swims 16.3 m
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Age_Word_Problems/550580: john and tom are brothers. Tom is seven years older than john. In four years tom will be twice as old as john. how old is tom? how old is john
1 solutions
Answer 358879 by mananth(12270) on 2011-12-28 05:12:56 (Show Source):
You can put this solution on YOUR website!john is x years
Tom is x+7 years
4 years hence
John -------- x+4
Tom ---------x+7+4 =x+11
x+11=2(x+4)
x+11=2x+8
2x-x=11-8
x=3 that's john's age
Tom'a age = 3+7 =10 years
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testmodule/550581: john and tom are brothers. Tom is seven years older than john. In four years tom will be twice as old as john. how old is tom? how old is john
1 solutions
Answer 358878 by mananth(12270) on 2011-12-28 05:12:22 (Show Source):
You can put this solution on YOUR website!john is x years
Tom is x+7 years
4 years hence
John -------- x+4
Tom ---------x+7+4 =x+11
x+11=2(x+4)
x+11=2x+8
2x-x=11-8
x=3 that's john's age
Tom'a age = 3+7 =10 years
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Percentage-and-ratio-word-problems/550540: Use the five step for problem-solving to answer the following questio.
Angle P and Angle Q are supplementary angles. If, Angle Q is ten less than 4 times Angle P what are the measures of the angles?
Thank you in advance for your help.
1 solutions
Answer 358876 by mananth(12270) on 2011-12-28 03:03:03 (Show Source):
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Money_Word_Problems/550493: A mother wants to invest $6,000.00 for her son's future education. She invests a portion of the money in a bank certificate of deposit which earns 4% interest and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $360.00, how much money was invested into the Certificate of Deposit account?
1 solutions
Answer 358875 by mananth(12270) on 2011-12-28 02:57:59 (Show Source):
You can put this solution on YOUR website!Investment I 4.00% per annum
Investment II 7.00% per annum
x+y 6000 ------------------------1
4.00%x+7.00% y=$360.00
Multiply by 100
4x+7y=$36,000.00 --------2
Multiply (1) by -4
we get
-4x-4y= -24000.00
Add this to (2)
3y = $12,000.00
divide by 3
y = $4,000.00 investment at 7.00%
Balance $2,000.00 investment at 4.00%
CHECK
$2,000.00 $80.00
$4,000.00 $280.00
Total $360.00
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