Answer:
Unit price of 12 cupcakes for 25 dollars = 25/12
= 2.08 dollars
Use this property of logarithms:

Your equation transforms into:

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

In case you don't remember, this is the definition of a logarithm:

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).
Finally, solve the rational equation:



The correct answer is d.
Okay, so let's find the actual failure rate first. 6/1000 times 100 (to give over a 100%) equals to 0.6. The actual failure rate is 0.6%. The theoretical probability is 0.2% 0.6-0.2=0.4. The difference is 0.4%.
Hope that helped!
7(12 1/3) + 8(12 1/3 + 1/4) = 3(6(12 1/3) - 9) - 8
12 1/3 = 12.33
1/4 = 0.25
7(12.33) + 8(12.33 + 0.25) = 3(6(12.33) - 9) - 8
86.31 + 8(12.58) = 3(73.98 - 9) - 8
86.31 + 100.64 = 3(64.98) - 8
186.95 = 186.94 - 8
186.95 ≠ 178.94
False. The x, when 12 1/3 does not work inside this equation
hope this helps
She needs to score a 91 on her next test because 85+78+77+69+91=400 and 400 divided by 5 gives you a mean of 80.