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Alex17521 [72]
3 years ago
11

6(4x+2)=3(8x+4) ?? please help asap

Mathematics
2 answers:
Mumz [18]3 years ago
6 0
24x + 12 = 24x + 12
I.M.S
Infinitely Many Solutions
nasty-shy [4]3 years ago
4 0
6(4x + 2) = 3(8x + 4)

Reorder the terms:
6(2 + 4x) = 3(8x + 4)
(2 * 6 + 4x * 6) = 3(8x + 4)
(12 + 24x) = 3(8x + 4)

Reorder the terms:
12 + 24x = 3(4 + 8x)
12 + 24x = (4 * 3 + 8x * 3)
12 + 24x = (12 + 24x)

Add '-12' to each side of the equation.
12 + -12 + 24x = 12 + -12 + 24x

Combine like terms: 12 + -12 = 0
0 + 24x = 12 + -12 + 24x
24x = 12 + -12 + 24x

Combine like terms: 12 + -12 = 0
24x = 0 + 24x
24x = 24x

Add '-24x' to each side of the equation.
24x + -24x = 24x + -24x

Combine like terms: 24x + -24x = 0
0 = 24x + -24x

Combine like terms: 24x + -24x = 0
0 = 0

Solving
0 = 0
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Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec.
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She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft <span>                                                   
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After 2 second Pattie runs = (20+5)ft
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After 3 second Pattie runs = (25+5) ft
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After 4 seconds Pattie runs = (30+5) ft
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After 5 seconds Pattie runs = (35+5) ft
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After 6 seconds Pattie runs  = (40+5) ft
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Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
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After 3 second Keith runs = (16+8) ft
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After 4 second Keith runs = (24+8) ft
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After 5 second Keith runs = (32+8) ft
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After 6 second Keith runs = (40+8) ft
                                           = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.


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