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rosijanka [135]
4 years ago
15

4m + 2(8) = 5(8) solve for m

Mathematics
2 answers:
Allushta [10]4 years ago
7 0

Answer:

m=6

Step-by-step explanation

4(m+2(2))=4(5(2))

m+4=10

m=6

ollegr [7]4 years ago
3 0

Answer:

m = 6

Step-by-step explanation:

4m + 2(8) = 5(8) (Given)

4m + 16 = 40 (Simplify)

4m + 16 - 16 = 40 - 16 (Subtraction Property of Equality)

4m = 24 (Simplify)

\frac{4m}{4} = \frac{24}{4} (Division Property of Equality)

m = 6 (Simplify)

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Expressed as a product of its prime factors in index form, a number N is
Elena-2011 [213]

<u>ANSWER</u>



5N^2=3^{2} \times 5^{5} \times x^{6}



<u>EXPLANATION</u>


N=3\times5^2 \times x^3.


5N^2=5(3\times5^2 \times x^3)^2


Recall this property of exponents;


(a^m)^2=a^{m} \times a^m



So our product becomes;


5N^2=5(3\times5^2 \times x^3) \times (3\times5^2 \times x^3)



5N^2=5\times 3\times 3 \times 5^2 \times 5^2 \times x^3 \times x^3


5N^2=3\times 3\times 5 \times 5^2 \times 5^2 \times x^3 \times x^3



Recall this law of exponents:


a^m \times a^n =a ^{m+n}


5N^2=3^{1+1} \times 5^{1+2+2} \times x^{3+3}


5N^2=3^{2} \times 5^{5} \times x^{6}




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