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3 years ago

At the convenience store, a 12 pack of Dr. Pepper costs $3.96. How much does each can cost?

Mathematics

2 answers:

AveGali [126]3 years ago

6 0

Answer:

33 CENTS FOR EACH CAN

Step-by-step explanation:

DedPeter [7]3 years ago

5 0

Answer:

$3.96 divided by the number of cans will give you your answer

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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3 years ago

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Which expressions are equivalent to 6\cdot6\cdot6\cdot6\cdot66⋅6⋅6⋅6⋅66, dot, 6, dot, 6, dot, 6, dot, 6 ?

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

At the convenience store, a 12 pack of Dr. Pepper costs $3.96. How much does each can cost?​

At the convenience store, a 12 pack of Dr. Pepper costs $3.96. How much does each can cost?