Answer:
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Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
Answer:
C. Divide both sides of the equation by -2.
Step-by-step explanation:
The goal of the equation is to isolate x. In order to do that we have to remove the '-2' by doing the inverse operation. That is the opposite operation, for example addition and subtraction, multiplication and division.
Since x is being multiplied by -2, we do the inverse which is division.
The distributive property
Step-by-step explanation:
step one:
given that the sample space is
red, yellow, green, white, and black. i.e (1+1+1+1+1)= 5
the sample size is 5
the probability of picking a colored card at random is
Pr(a colored card)= 1/5
step two:
without replacement, after the first event, the sample size is now 4
then the probability of picking a colored card at random is
Pr(a colored card)= 1/4