Answer:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
Step-by-step explanation:
The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
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B and c are the speeds of the boat (in still water) and the current.
Traveling with the current, the boat goes b+c km per hour.
1 hour * (b+c km)/hour = 15 km
b+c = 15
Traveling against the current, the boat goes b-c km per hour.
3 hours * (b-c km)/hour = 15
b-c = 5
Add the two equations
b = 10 km per hour
Therefore, half of 1/4 is 1/8. 1/4 means 0.25 if you devide it by 2 you will get 0.125 so 1/8 is half of 1/4.
Answer:
Step-by-step explanation:
5x+3y=1
4x-5y=4
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4(5x+3y)=4(1)
-5(4x-5y)=-5(4)
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20x+12y=4
-20x+25y=-20
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37y=-16
y=-16/37
5x+3(-16/37)=1
5x-48/37=1
5x=1+48/37
5x=37/37+48/37
5x=85/37
x=(85/37)/5
x=(85/37)(1/5)
x=85/185
x=17/37
Answer: x=17/37, y=-16/37. (17/37, -16/37)
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5x+3y=1
8x-10y=4
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8(5x+3y)=8(1)
-5(8x-10y)=-5(4)
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40x+24y=8
-40x+50y=-20
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75y=-12
y=-12/75=-4/25
5x+3(-4/25)=1
5x-12/25=1
5x=1+12/25
5x=25/25+12/25
5x=37/25
x=(37/25)/5
x=(37/25)(1/5)
x=37/125
Answer: x=37/125, y=-4/25. (37/125, -4/25).
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5x+3y=1
9x-2y=5
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2(5x+3y)=2(1)
3(9x-2y)=3(5)
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10x+6y=2
27x-6y=15
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37x=17
x=17/37
5(17/37)+3y=1
85/37+3y=1
3y=1-85/37
3y=37/37-85/37
3y=-48/37
y=(-48/37)/3
y=(-48/37)(1/3)
y=-48/111
Answer: x=17/37, y=-48/111. (17/37, -48/111).
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