Write an equation for the following problem.

2 answers:

8 0

Answer: 12x+10=58

Explanation: $10 is the flat rate, so it only applies to one of the hours. It is not being multiplied by anything. Her hourly rate after that is $12 meanings the amount of money she makes depends on how many hours she works which is x. $58 is the end result so that is what the equation equals.

kakasveta [241]3 years ago

3 0

Answer: Aaron was at the sitter for 5 hours

Step-by-step explanation:

12x + 10 = 58

the 12x is for each hour after the first hour and the 10 is the first hour

-10 from each side

12x = 48

/12

x = 4

4 additional hours plus the original hour

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Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y

Mashcka [7]

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

log2z³ - log2y² + log9y⁴ + log9x¹²

= log2(z³/y²) + log9(y⁴x¹²)