The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).
So I'll take the left hand side and try to turn it into 
One way we can do that is through the following steps:
Since we've shown that the left hand side transforms into the right hand side, this verifies the equation is an identity.
Answer:
$12,000,000
Step-by-step explanation:
To find her commission, create a proportion.
To solve use cross multiplication.
40(x) = 100(480000)
40x = 48000000
x= 12,000,000
Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
Answer:
If the question is which is closest to 8, the answer is 61
Step-by-step explanation:
Answer:
m = 7h + 10
Step-by-step explanation:
Since m is representing the total amount of money he earned, we will leave that on one side. If h is the number of hours we worked, the coefficient of h is 7 because he earns 7 dollars an hour. The ten dollar tip is independent from the variables.
