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RideAnS [48]
2 years ago
9

Jane and Chris sell candles to earn money. Jane spent $20 to create her candles and sells candles for $3 each. Chris spent $40 t

o create his candles and sells candles for $5 each. How many candles will Jane and Chris have to sell in order to earn the same profit?​
Mathematics
1 answer:
Sidana [21]2 years ago
4 0

Answer:

  • 10 candles

Step-by-step explanation:

<u>Jane's caldles:</u>

  • Cost = $20, Price = $3 per candle

<u>Chris's candles:</u>

  • Cost = $40, Price = $5 per candle

<u>Profit, if equal per x candles is:</u>

  • 3x - 20 = 5x - 40
  • 5x - 3x = 40 - 20
  • 2x = 20
  • x = 10

Each will have profit of $10 if 10 candles sell

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Find the probability that the person is frequently or occasionally involved in charity work.
Schach [20]
Given the table below which shows the result of a survey that asked 2,881 people whether they are involved in any type of charity work.

\begin{tabular}&#10;{|c|c|c|c|c|c|}&#10; &Frequently&Occassionally&Not at all&Total\\[1ex]&#10;Male&227&454&798&1,479\\&#10;Female &205&450&747&1,402\\&#10;Total&432&904&1,545&2,881&#10;\end{tabular}

Part A:

If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by

P(being \ frequently \ involved \ or \ being \ occassionally \ involved)\\ \\= \frac{432}{2881} + \frac{904}{2881} = \frac{1336}{2881}=\bold{0.464}



Part B:

If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by

P(being&#10; \ female \ or \ not \ being \ involved)\\ \\= &#10;\frac{1402}{2881} + \frac{1545}{2881}-\frac{747}{2881} = &#10;\frac{2200}{2881}=\bold{0.764}



Part C:

If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by

P(being&#10; \ male \ or \ being \ frequently \ involved)\\ \\= &#10;\frac{1479}{2881} + \frac{432}{2881}-\frac{227}{2881} = &#10;\frac{1684}{2881}=\bold{0.585}



Part D:

If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by

P(being&#10; \ female \ or \ not \ being \ frequently \ involved)\\ \\= &#10;\frac{1402}{2881} + \frac{904}{2881} + \frac{1545}{2881}-\frac{450}{2881}-\frac{747}{2881} = &#10;\frac{2654}{2881}=\bold{0.921}



Part E:

The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.

Indeed from the table, there are 205 females who are frequently involved in charity work.

Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".
4 0
2 years ago
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pickupchik [31]

Answer:

Step-by-step explanation:

Transformation #1 (blue grafic): rotation in y axis

Transformation #2 (green grafic): translation in y axis.

I hope I've helped you.

I hope you've understand me.

3 0
2 years ago
A housekeeper was earning $9.50 an hour before a
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Answer:

raise = $0.76

new wage = $10.26 per hour

Step-by-step explanation:

8% in decimal form = 8/100 = 0.08

To find 8% of 9.50:  0.08 x 9.50 = 0.76

Therefore, the housekeeper's raise = $0.76

To calculate the amount she now earns after the raise, add the 8% rise to the initial value:

0.76 + 9.50 = $10.26

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2 years ago
What does radical form mean?
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Is it radical or radian
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Write the equation of the line that passes through the points (0,8) and (-1, –4).
andrey2020 [161]

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12

Now plug your m value and (x1, y1) into point-slope form:

y - 8 = 12(x-0)\\reduce\\y=12x+8

8 0
2 years ago
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