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attashe74 [19]
3 years ago
5

Roscoe's family has dinner at a restaurant. The total cost is $103.80. This includes 5% tax and 15% tip on the ore tax amount. H

ow much was the bill before tax and tip?
Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

  $86.50

Step-by-step explanation:

Let b represent the bill before tax and tip. Then the total is ...

  b + 0.05b + 0.15b = 103.80

  b(1.20) = 103.80 . . . . . . . . . . collect terms

  b = 103.80/1.20 = 86.50 . . . divide by the coefficient of b

The bill before tax and tip was $86.50.

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your rue

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Arlecino [84]

Answer:

  see the attachment

Step-by-step explanation:

We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).

Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.

That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".

The simulation of 70 different choices of a random class is shown in the attachment.

_____

<em>Comment on the question</em>

IMO, the use of <em>70 trials</em> is coincidentally the same number as the first <em>70 days</em> of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.

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What is the slope of the line that is perpendicular to a line whose equation 3y=-4x+2?
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Step-by-step explanation:

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Really struggling! Will give 20 points to answers correctly
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Answer:

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½ × 10 × 7 × 6

= 210 cm³

42 candles:

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