Answer:12300
Step-by-step explanation:12.3x1000
3384 because .88 times 1800 is 1584 and you have to add that to 1800 making it 3384 (or the questions is really easy and its just 1800.88)
Answer:
4y-12
Step-by-step explanation:
To multiply a sum (or difference) by a factor, each summand (or minuend and subtrahend) is multiplied by this factor and the resulting products are added (or subtracted).
If the operation outside the parentheses (in this case, the multiplication) is commutative, then left-distributivity implies right-distributivity and vice versa, and one talks simply of distributivity.
Answer:
x = 8
y = -7
Step-by-step explanation:
3y - 5x = -61
-----------------------+
-9x = -72
x = 8
3y -5(8) = -61
3y - 40 = -61
3y = -21
y = -7
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![\large\begin{array}{l}\\\\ \textsf{Therefore,}\\\\ \mathsf{\#\big[S\cap (A\cup B)\big]}\\\\ =\mathsf{\#\big[(S\cap A)\cup(S\cap B)\big]}\\\\ =\mathsf{\#(S\cap A)+\#(S\cap B)-\#\big[(S\cap A)\cap(S\cap B)\big]}\\\\ =\mathsf{350+100-50}\\\\ =\mathsf{450-50}\\\\ =\mathsf{400~elements.}\\\\\\ \textsf{There are 400 integers in S that are divisible by 2 or 7.} \end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7Bl%7D%5C%5C%5C%5C%20%5Ctextsf%7BTherefore%2C%7D%5C%5C%5C%5C%20%5Cmathsf%7B%5C%23%5Cbig%5BS%5Ccap%20%28A%5Ccup%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccup%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%28S%5Ccap%20A%29%2B%5C%23%28S%5Ccap%20B%29-%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccap%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B350%2B100-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B450-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B400~elements.%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7BThere%20are%20400%20integers%20in%20S%20that%20are%20divisible%20by%202%20or%207.%7D%20%5Cend%7Barray%7D)
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Tags: <em>set theory divibilility divisible integers union intersection</em>
