Question

Which equation has exactly ONE solution?
Responses
A 8+3x/2 = 13 + x
B 3+12x/2 = 6x + 15
C 10+15x/5 = 3x + 10
D 4x−20/4 = x − 5

Answers

Answer
Which equation has infinitely many solutions?
Responses
A 4x+3/3 = 4x + 5
B 10x+8/2 = 5x + 4
C 8x−5/3 = 2x − 2
D 8x−5/2 = 4x − 6
Answer
Case bought a 10 week old pig that weighed 30 kg. At 18 weeks the pig weighed 80 kg. The equation (18 − 10)w + 30 = 80 can be used to find the number of kg (x) the pig gained each week.

How many kilograms did the pig gain each week?
Answer
It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
Answered by GPT 3.5
The equation that has exactly one solution is:

D) 4x - 20/4 = x - 5
Answered by GPT 3.5
The equation that has infinitely many solutions is:

A) 4x + 3/3 = 4x + 5
Answered by GPT 3.5
To find the number of kilograms the pig gained each week, we can rearrange the equation (18 - 10)w + 30 = 80 to solve for w, which represents the number of weeks.

(18 - 10)w + 30 = 80

8w + 30 = 80

Subtract 30 from both sides:

8w = 50

Divide both sides by 8:

w = 6.25

Therefore, the pig gained 6.25 kilograms each week.
Answered by GPT 3.5
This is an example of the Distributive Property.

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