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lisabon 2012 [21]
3 years ago
6

Mr. Theodore owns a smoothie shop. To mix a batch of smoothies, he uses 16 ounces of orange juice. Each day he uses 370 ounces o

f orange juice. How many batches of smoothies can Mr. Theodore make in a day? Make sure to show and explain your work.
Mathematics
1 answer:
Scrat [10]3 years ago
6 0
I’m really not that smart all I did was Download this app because I need to help with my homework because of the coronavirus
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Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards—two aces, one king, one 3, and on
Nookie1986 [14]

Answer:

The probability that he ends up with a full house is 0.0083.

Step-by-step explanation:

We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.

We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).

We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);

  • If he is given with two kings.
  • If he is given one king and one ace.

Only in these two situations, he will end up with a full house.

Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.

So, the ways in which we can draw two kings from available three kings is given by =  \frac{^{3}C_2 }{^{47}C_2}   {∵ one king is already there}

              =  \frac{3!}{2! \times 1!}\times \frac{2! \times 45!}{47!}           {∵ ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

              =  \frac{3}{1081}  =  0.0028

Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =  \frac{^{3}C_1 \times ^{2}C_1 }{^{47}C_2}

                                                                   =  \frac{3!}{1! \times 2!}\times \frac{2!}{1! \times 1!} \times \frac{2! \times 45!}{47!}

                                                                   =  \frac{6}{1081}  =  0.0055

Now, probability that he ends up with a full house = \frac{3}{1081} + \frac{6}{1081}

                                                                                    =  \frac{9}{1081} = <u>0.0083</u>.

3 0
3 years ago
Read 2 more answers
Find f(t – 3) for f(x) = 4x2 – 8x + 4.
GarryVolchara [31]

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

= 4(t^2 - 6t + 9) - 8t + 24 + 4

= 4t^2 - 24t + 36 - 8t + 28

=  4t^2 - 32t + 64.

5 0
2 years ago
Crawling Crayfish!
boyakko [2]

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

\Rightarrow \dfrac{6}{5}=1.2\ cm/s

Flicker covers 4 cm in 5 s, its speed is

\Rightarrow \dfrac{4}{5}=0.8\ cm/s

Time taken by Cray fish to cover the race is

\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s

Time taken by flicker to cover race with 10 cm head start

\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s

After 25 s, they tied the race.

5 0
2 years ago
What is the solution to this equation 2+x=7/8x-15
Svetach [21]

Answer:

x= -136

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the difference and the next three terms -10 -20 -30
Dafna1 [17]

Answer:

- 40, - 50, - 60

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence.

- 20 - (- 10) = - 20 + 10 = - 10

- 30 - (- 20) = - 30 + 20 = - 10

Thus the difference d = - 10

To obtain a term in the sequence subtract 10 from the previous term

- 30 - 10 = - 40

- 40 - 10 = - 50

- 50 - 10 = - 60

The next 3 terms are - 40, - 50, - 60

6 0
3 years ago
Read 2 more answers
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