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Coordinate-system/226110: find the equation of the line containing the point (-3,4) and parallel to the line 2y-6x=46
1 solutions
Answer 168479 by checkley77(12569)   on 2009-10-13 18:25:07 (Show Source):
You can put this solution on YOUR website!Y=mX+b is the line equation.
2y-6x=46
2y=6x+46
y=6x/2+46/2
y=3x+23 ans for the line equation.
(-3,4) slope=3
4=3*-3+b
4=-9+b
b=4+9
b=13 ans. for the y intercept.
y=3x+13 ans. for the line equation with a slope=3 & passing through (-3,4).
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x +15).
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test/226113: please help me solve this word problem:
the second of two numbers is 5 more than twice the first. their sum is 80. find the numbers.
1 solutions
Answer 168478 by checkley77(12569) on 2009-10-13 18:18:34 (Show Source):
You can put this solution on YOUR website!x+y=80 or y=80-x
y=2x+5
2x+5=80-x
2x+x=80-5
3x=75
x=75/3
x=25 ans. for the smaller number.
y=80-25
y=55 ans. for the larger number.
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Equations/225684: how can 42,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned be the two accounts is equal at the end of the year?
1 solutions
Answer 168323 by checkley77(12569) on 2009-10-12 21:03:07 (Show Source):
You can put this solution on YOUR website!.10X=.04(42,000-X)
.10X=1,680-.04X
.14X=1,680
X=1,680/.14
X=12,000 INVESTED @ 10%.
42,000-12,000=30,000 INVESTED @ 4%.
.10*12,000=.04*30,000
1,200=1.200
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Mixture_Word_Problems/225710: The owner of a pet food store wants to mix birdseed that costs $1.25 per pound with sunflower seeds that cost $0.75 per pound to make 50 pounds of a mixture that costs $1.00 per pound. HOw many pounds of each seed should he use?
1 solutions
Answer 168320 by checkley77(12569) on 2009-10-12 20:54:43 (Show Source):
You can put this solution on YOUR website!1.25X+.75(50-X)=50*1
1.25X+37.5-.75X=50
.50X=50-37.5
.50X=12.5
X=12.5/.5
X=25 POUNDS OF $1.25 BIRDSEED IS USED.
50-25=25 POUNDS OF $.75 SUNFLOWER SEED IS UDED.
PROOF:
1.25*25+.75*25=50
31.25+18.75=50
50=50
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Miscellaneous_Word_Problems/225693: How can $28,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts is equal at the end of the year
1 solutions
Answer 168318 by checkley77(12569) on 2009-10-12 20:47:45 (Show Source):
You can put this solution on YOUR website!.10X=.04(10,000-X)
.10X=400-.04X
.14X=400
X=400/.14
X=2,857 INVESTED @ 10%.
10,000-2,857=7,143 INVESTED @ 4%.
.10*2,857=.04*7,143
285.7=285.7
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Equations/225694: linda and dave leave simultaneously from the same starting point biking in opposite directions..linda bikes at 5 miles per hour and dave bikes at 8 miles per hour...how long will it be until they are 20 miles apart from each other?
1 solutions
Answer 168314 by checkley77(12569) on 2009-10-12 20:40:49 (Show Source):
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Miscellaneous_Word_Problems/225686: Kevin invested part of his $10,000 bonus in a certificat of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. if his total inerest for that year was $700, how much did kevin invest in the mutual fund?
1 solutions
Answer 168308 by checkley77(12569) on 2009-10-12 20:27:49 (Show Source):
You can put this solution on YOUR website!.11x+.06(10,000-x)=700
.11x+600-.06x=700
.05x=700-600
.05x=100
x=100/.05
x=2,000 invested @ 11%.
10,000-2,000=8,000 invested @ 6%
Proof:
.11*2,000+.06*8,000*700
220+480=700
700=700
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Equations/225687: devon purchased tickets to an air show for 7 adults and 2 children...the total cost was 92.00 the cost of the childs ticket was 8.00 less than the cost of an adults ticket...find the price of an adults ticket and a childs ticket?
1 solutions
Answer 168306 by checkley77(12569) on 2009-10-12 20:21:35 (Show Source):
You can put this solution on YOUR website!7(x+8)+2x=92
7x+56+2x=92
9x=92-56
9x=36
x=36/9
x=$4 ans. for the price of the children tickets.
4+8=$12 ans. for the price of the adult tickets.
Proof:
7*12+2*4=92
84+8=92
92=92
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Mixture_Word_Problems/225668: A 3% solution of sulfuric acid was mixed with an 18% solution to produce an 8% solution. how much 3 % solution and 18% solution were used to produce 15 liters of 8% solution?
1 solutions
Answer 168297 by checkley77(12569) on 2009-10-12 19:59:09 (Show Source):
You can put this solution on YOUR website!.18X+.03(15-X)=.08*15
.18X+.45-.03X=1.2
.15X=1.2-.45
.15X=.75
X=.75/.15
X=5 lITERS OF 18% SOLUTION IS USED.
15-5=10 lITERS OF 3% SOLUTION IS USED.
PROOF:
.18*5+.03*10=.08*15
.9+.3=1.2
1.2=1.2
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Linear-systems/225656: Systems of Equations
A chemist has two solutions of hydrochloric acid in stock: a 50% solution and an 80% solution. How many of each should she mix to obtain 100 milliliters of a 68% solution?
1 solutions
Answer 168293 by checkley77(12569) on 2009-10-12 19:47:18 (Show Source):
You can put this solution on YOUR website!.80X+.50(100-X)=.68*100
.80X+50-.50X=68
.30X=68-50
.30X=18
X=18/.30
X=60 ML OF 80% SOLUTION IS USED.
100-60=40 ML. OF 50% SOLUTION IS USED.
PROOF:
.80*60+.5*40=.68*100
48+20=68
68=68
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Rate-of-work-word-problems/225631: Please help me set up the following word problem:
Kyle can load his truck in 24 minutes. If his brother helps him, it takes 15 minutes to load the truck. How long does it take Kyle's brother alone?
Thank you for your help.
1 solutions
Answer 168286 by checkley77(12569) on 2009-10-12 19:22:29 (Show Source):
You can put this solution on YOUR website!24x/(24+x)=15
24x=15(24+x)
24x=360+15x
24x-15x=360
9x=360
x=360/9
x=40 minutes for his brother working alone to load the truck.
Proof:
24*40/(24+40)=15
960/64=15
15=15
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Money_Word_Problems/225605: tom's family is planning a 7-day trip to texas. they want to spend time in both san antonio and dallas. they estimate that it will cost $275 per day in san antonio and $400 per day in dallas. Their budget for the 7 days is $2300. How many days should they spend in each city?
275x+400y=2300
?
1 solutions
Answer 168284 by checkley77(12569) on 2009-10-12 19:14:52 (Show Source):
You can put this solution on YOUR website!X+Y=7
X=7-Y
275x+400y=2300
275(7-Y)+400Y=2300
1,925-275Y+400Y=2300
125Y=2300-1,925
125Y=375
Y=375/125
Y=3 DAYS IN DALLAS.
X-3=4 DAYS IN SAN ANTONIO.
PROOF:
275*4+400*3=2,300
1,100+1,200=2,300
2,300=2,300
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Functions/225607: Rewrite the equation so that y is a funtion of x.
2x+y=5
can you please show me step by step how to do problems like this? i have been having alot of difficulty with problems like this.
1 solutions
Answer 168283 by checkley77(12569) on 2009-10-12 18:51:28 (Show Source):
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Travel_Word_Problems/225444: A six passenger plane cruises at 180mph in calm air. If the plane flys 7 miles with the wind in the same amount of time as it flys 5 miles against the wind, what is the wind speed.
1 solutions
Answer 168282 by checkley77(12569) on 2009-10-12 18:49:17 (Show Source):
You can put this solution on YOUR website!D=RT OR T=D/R
T=7/(180-W)
T=5/(180+W)
SET THE 2 TIME EQUATIONS EQUAL & SOLVE FOR THE WIND SPED.
7/(180-W)=5/(180+W)
5(180-W)=7(180+W)
900-5W=1,260+7W
-7W-5W=1,260-900
-12W=360
W=360/-12
W=-30 MPH IS THE WIND SPEED.
PROOF:
7/(180-(-30))=5(180/(180+(-30))
7/(180+30)=5(180-30)
7/210=5/150
5*210=7*150
1,050=1,050
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