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Miscellaneous_Word_Problems/338236: The speed of train a is 8 mph slower than the speed of train b. Train a travels 220 miles in the same time it takes train b to travel 260 miles. Find the speed of each train 1 solutions
Answer 242452 by checkley77(12569) on 2010-09-02 15:22:00 (Show Source):
You can put this solution on YOUR website!D=RT
T=D/R
T=220/(X-8)
T=260/X
220/(X-8)=260/X CROSS MULTIPLY.
260(X-8)=220X
260X-2,080=220X
260X-220X=2,080
40X=2.080
X=2,080/40
X=52 MPH. FOR THE FASTER TRAIN.
52-8=44 MPH. FOR THE SLOWER TRAIN.
pROOF:
220/44=260/52
5=5
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Percentage-and-ratio-word-problems/338239: I'm sure i can figure this out if you can just tell me how to translate this into a mathematical equation:
three-fourths of the students in Math 200 recieved a grade of C on their test, and one-fifth recieved an A. if twenty-two more students recieved C's than recieved A's, how many students are in the class?
Thanks! 1 solutions
Answer 242448 by checkley77(12569) on 2010-09-02 15:12:45 (Show Source):
You can put this solution on YOUR website!3/4x=1/5x+22
3x/4-x/5=22
(3x*5-x*4)/4*5=22
(15x-4x)/20=22 cross multiply.
11x=20*22
11x=440
x=440/11
x=40 ans. for the number of students.
Proof:
3/4*40=1/5*40+22
120/4=40/5+22
30=8+22
30=30
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Mixture_Word_Problems/338141: one solution is 20% acid and another is 12%. How many cubic centimeters of each solution should be mixed to obtain 100 cubic centimeters of a solution that is 15% acid. 1 solutions
Answer 242391 by checkley77(12569) on 2010-09-02 10:50:28 (Show Source):
You can put this solution on YOUR website!.20x+.12(100-x)=.15*100
.20x+12-.12x=15
.08x=15-12
.08x=3
x=3/.08
x=37.5 cm^3 of 20% solution is used.
100-37.5=62.5 cm^3 of 12% solution is used.
Proof:
.20*37.5+.12*62.5=.15*100
7.5+7.5=15
15=15
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Linear_Equations_And_Systems_Word_Problems/338152: Can you show how to get answer to this word problem please
An aircraft 200 kilometers away is flying toward an air base at 350 kilometers per hour. How long will it take a plane flying from the base at 450 kilometers per hour to intercept the first aircraft? 1 solutions
Answer 242388 by checkley77(12569) on 2010-09-02 10:38:53 (Show Source):
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Travel_Word_Problems/337886: a train pulls cargo 140 miles and then a second one pulls it another 200 miles going 5 miles faster than the first together they take 9 hours how fast are they going 1 solutions
Answer 242271 by checkley77(12569) on 2010-09-01 20:27:12 (Show Source):
You can put this solution on YOUR website!D=RT
T=D/R
9=140/X+200/(X+5)
9=((140)+200*X)/X(X+5)
9=(140X+700+200X)/(X^2+5X)
9=(340X+700)/(X^2+5X) CROSS MULTIPLY.
9(X^2+5X)=340X+700=0
9X^2+45X-340X-700=0
9X^2-295X-700=0
(9X+20)(X-35)=0
X-35=0
X=35 MPH FOR THE SLOWER TRAIN.
35+5=40 MPH FOR THE FASTER TRAIN.
PROOF:
9=140/35+200/40
9=4+5
9=9
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Surface-area/337899: A painting canvas has a length of 6 inches longer than its width. If the area is 91 inches, what are the dimensions of the canvas?
1 solutions
Answer 242263 by checkley77(12569) on 2010-09-01 20:03:41 (Show Source):
You can put this solution on YOUR website!L=W+6
A=LW
91=(W+6)W
91=W^2+6W
W^2+6W-91=0
(W+13)(W-7)=0
W-7=0
W=7 ANS FOR THE WIDTH.
L=7+6=13 ANS. FOR THE LENGTH.
PROOF:
91=13*7
91=91
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Mixture_Word_Problems/337901: Cashews sell for $5 per pund and peanuts sell for $2 per pound. How many pounds of each would you use to make 25 pounds of a mixture that sells for $92? 1 solutions
Answer 242262 by checkley77(12569) on 2010-09-01 19:58:27 (Show Source):
You can put this solution on YOUR website!5x+2(25-x)=92
5x+50-2x=92
3x=92-50
3x=42
x=42/3
x=14 pounds of Cashews is used.
25-14=11 pounds of peanuts are used.
Proof:
5*14+2*11=92
70+22=92
92=92
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Number-Line/337902: Why do you get a larger negative number when you subract a positive number from a negative number?(ie -18 - 17= -35) 1 solutions
Answer 242260 by checkley77(12569) on 2010-09-01 19:49:46 (Show Source):
You can put this solution on YOUR website!(-18 - 17= -35)
Sorry but the scaling doesn't hold when I send the solution but try to get the idea of a negative numbered line.
-35 -30 -25 -20 -15 -10 -5 0 +3
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* *
(-35)------------ -18 ------------- (-17) ----------- -17 ---------------
Starting from zero & going to the left on a numbered line 17 unite, you are at (-17).
Going another 18 units to the left, you are at (-35).
-17+(-18)=-35
17-18=-35
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Linear-equations/337905: Write the equation of the line that is parallel to the x-axis, passing through the point (5, -2) 1 solutions
Answer 242252 by checkley77(12569) on 2010-09-01 19:24:53 (Show Source):
You can put this solution on YOUR website!Because the line is parallel to the x axis the slope (m)=0.
Thus there is no x value in the equation & the y intercept is (0,-2)
y=-2
 (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, y = -2).
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Trigonometry-basics/337906: 6c+5d-4c-3d+3c-6d when c=4 and d=(-2)
10a+3b-5a+4b+1a+5b when a=(-3) and b=5
3m+9n+6m-7n-4m+2n when m=6 and n=(-4)
1 solutions
Answer 242250 by checkley77(12569) on 2010-09-01 19:21:01 (Show Source):
You can put this solution on YOUR website!6c+5d-4c-3d+3c-6d when c=4 and d=(-2)
6*4+5*-2-4*4-3*-2+3*4-6*-2
24-10-16+6+12+12
54-26=28 ans.
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10a+3b-5a+4b+1a+5b when a=(-3) and b=5
10*-3+3*5-5*-3+4*5+1*-3+5*5
-30+15+15+20-3+25
75-33=42 ans.
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I'll leave this last one for you to practice with.
Just substitute 6 for m & -4 for n.
Multiply then add & subtract.
------------------------------
3m+9n+6m-7n-4m+2n when m=6 and n=(-4)
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Equations/337907: tom counted a total of 76 bicyles and tricycles , for a total of 227 wheels. how many tricyles are there. 1 solutions
Answer 242249 by checkley77(12569) on 2010-09-01 19:06:50 (Show Source):
You can put this solution on YOUR website!2x+3y=227
x+y=76 multiply by -2 & add
-2x-2y=-152
2x+3y=227
-------------------
y=75 tricycles.
x+75=76
x=76-75
x=1 bicycle.
Proof:
2*1+3*75=227
2+225=227
227=227
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Percentage-and-ratio-word-problems/337317: On a map of the U.S., the cities of Milwaukee, and Charlotte, are
6 1/2 inches apart. The actual distance betwee Milwaukee and Charlotte is 670 miles. If Birmingham, Alabama and St. Petesburg, Florida are 465 miles apart, how far apart are they on the map? 1 solutions
Answer 241805 by checkley77(12569) on 2010-08-31 17:53:05 (Show Source):
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