3(2x+2)+x+5=-10
6x+6+x+5=-10
7x+11=-10
7x=-21
x=-3
Answer:
0.6
Step-by-step explanation:
Answer:
S={(heart), (diamond), (club), (spade)}
Step-by-step explanation:
In probability, a set is a well-defined collection of objects, product of an independent successful operation.
A sample space is the combination of all possible outcomes in an operation, so in this case, when we select one card and record the denomination, then we need to check what characteristic from the card are we looking for, from the problem we can see that is the denomination by itself, not the color, the number of the card, or anything else, and we only have 4 options of denomination so the sample space would be:
S={(heart), (diamond), (club), (spade)}
Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
<h3>Part A</h3>
<u>There are three intervals as below and function added accordingly:</u>
- 0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.95
- 50 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95
- x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95
<h3>Part B</h3>
- x = 74.50, this falls in the second interval
- y = 74.50*1.056 + 11.95 = $90.62 (rounded )
<h3>Part C</h3>
y = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
- 89.20 = 1.056x + 11.95
- 1.056x = 89.20 - 11.95
- 1.056x = 77.25
- x = 77.25 / 1.056
- x = 73.15 (rounded )
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- <em>Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.</em>
