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Andreyy89
3 years ago
13

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no soluti

ons, and identify each equation as an identity, a contradiction, or neither. You must complete all sections of this questions to receive full credit.
(a) 6x+4x-6=24+9x
(b) 25-4x=15-3x+10-x
(c) 4x+8=2x+7+2x-20
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0
(a) 6x+4x-6=24+9x

6x+4x-6=24+9x
10x-6=24+9x
x=30
one solution, equation is "neither" identity nor contradiction

(b) 25-4x=15-3x+10-x

25-4x=15-3x+10-x
25-4x=25-4x
both sides are the same (identity)-> infinite solutions

(c) 4x+8=2x+7+2x-20
4x+8=2x+7+2x-20
4x+8=4x-13
8=-13
no solutions -> Contradiction

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2 years ago
1) Sally sprints 300 yards in a minute. Quadra runs 20% further than Sally in the same time.
Free_Kalibri [48]
1) answer = 360
explanation =
-> 10% of 300 = 300*10
-> 10% of 300 = 30
-> 20% = 10% x 2
-> 20% = 30 x 2
-> 20% = 60
-> 300 yards ( distance they ran ) + 60 yards ( how much more distance Quadra ran ) = 360 yards
2) answer = Newton spends 10 minutes or 1/6 hours reading
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-> 25% = 1/4
-> 40*4= 10
-> 1 hrs = 60 min
-> 10 min x 6 = 60 min
-> 1/6 hrs = 10 min
3) answer = 30 fish
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-> 40% = 12
-> 10% = 3
-> 40*4=10 and 12*4=3
-> 10% + 40% = 50% so 12 + 3 = 15
-> 50% = 15 and 100% = 15 x 2
-> 100% = 30
4) answer = 30
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-> 1/4 is equal to 25 %
-> add up all the prrcentages ( 25% + 10% + 15% = 50% )
-> she have 50% of tej chocolates Which were in the tin she bought away and kept 15 chocolates to herself
-> 50% = 1/2
-> 50% x 2 = 100%
-> 15 x 2 = 30
3 0
2 years ago
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