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Arte-miy333 [17]
2 years ago
8

Buy one get one free

Mathematics
1 answer:
Savatey [412]2 years ago
4 0

Answer:

ok‍♂️‍♂️xplanation:

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Divide the fraction and then simplify to its lowest form.
Andre45 [30]

Answer:

2/5

Step-by-step explanation:

3/10÷3/4

3/10×4/3

4/10

2/5

3 0
3 years ago
Read 2 more answers
A family went on vacation and used 45.3 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they ne
victus00 [196]

Answer:

d) 105.7\ \text{gallons}

Step-by-step explanation:

150\ \text{miles} requires 45.3\ \text{gallons of fuel}

1\ \text{mile} requires \dfrac{45.3}{150}\ \text{gallons of fuel}

200\ \text{miles} requires 200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}

So, total amount of gasoline required for the trip is 60.4+45.3=105.7\ \text{gallons}.

6 0
3 years ago
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa
Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = \frac{12!}{3! 3! 3! 3!}

Now,

The Total number of ways in which Remaining cards are distributed = \frac{40!}{10! 10! 10! 10!}

So,

Total number of ways of getting 3 picture card and remaining card = \frac{12!}{3! 3! 3! 3!}× \frac{40!}{10! 10! 10! 10!}

= \frac{12! 40!}{(3!)^{4} (10!)^{4}  }

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = \frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }

∴ The probability = \frac{\frac{12! 40!}{(3!)^{4} (10!)^{4}  }}{\frac{52!}{(13!)^{4} }}

                            = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13!)^{4} }{ 52! }

                           = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }

                           = \frac{12!}{(3!)^{4}   }×\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = \frac{479,001,600}{(6)^{4}   }×\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0
3 years ago
Assume that after t hours on the job, a factory worker can produce 100te^-.5t units per hour. How many units does the worker pro
VMariaS [17]
The number of units produced by the worker during t hours of work can be modelled by the following function:

N(t)=100t e^{(-0.5t)}

To find the number of units produced during first 3 hours, we can substitute 3 for t. This will give us the number of units produced by the worker during first 3 hours.

N(3)=100(3) e^{-0.5(3)} = 67

Thus the worker will produce 67 units during the first 3 hours of the work. 
5 0
3 years ago
Help me plz! I need help!
Irina18 [472]

Answer:

function 2

Step-by-step explanation:

i looked at the table, and since t (which is the x-coordinate in this case) was 0, that means that 5.25 is the y-coordinate and is greater than 5 in the first equation.

3 0
2 years ago
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