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Karolina [17]
3 years ago
6

12 = 6(n – 7) Solve 2 -step equation

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

9 = n

Step-by-step explanation:

12 = 6(n – 7)

12 = 6n - 42. Use the distributive property

12 = 6n - 42

+42. +42. Inverse operations

54 = 6n

÷6. ÷6

9 = n

madam [21]3 years ago
4 0

Answer:

9 = n

Step-by-step explanation:

12 = 6(n – 7)

Divide by 6 on both sides

12/6 = 6/6(n – 7)

2 = n-7

Add 7 to each side

2+7 = n-7+7

9 = n

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3 years ago
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amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =

Applying double C we have:

\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =

Canceling common terms:

\frac {mn ^ 5} {p ^ 4}

Answer:

Option A

Question 2:

We should simplify the following expression:

\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}

So, we have:

\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =

Simplifying common terms:

\frac {1} {y ^ 2z ^ 2}

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

<em>r ^ 2 + 7r + 10: </em>We look for two numbers that multiplied give 10 and added 7:

(r + 5) (r + 2)

<em>r ^ 2-5r-50:</em> We look for two numbers that multiplied give -50 and added -5:

(r-10) (r + 5)

<em>3r-30 = 3 (r-10)</em>

Rewriting the given expression we have:

\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =

We simplify common terms in the numerator and denominator we have:

(r + 2)

Answer:

Option D

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