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seraphim [82]
2 years ago
8

A yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. If the store has 16 possible toppi

ngs, how many different 3-topping combinations can a customers choose?
Mathematics
2 answers:
konstantin123 [22]2 years ago
5 0

Answer:

48.

Step-by-step explanation:

you multiply 16 x 3 to get your final answer.

aniked [119]2 years ago
4 0

Answer: 560

Step-by-step explanation:

We know that the combination of n things taken x things at a time is given by :-

^nC_x=\dfrac{n!}{x!(n-x)!}

Now, the number of different 3-topping combinations can a customers choose from 16 combination is given by :-

^{16}C_3=\dfrac{16!}{3!(16-3)!}\\\\=\dfrac{16\times15\times14\times13!}{3!13!}=560

Hence, the number different 3-topping combinations can a customers choose from 16 combination = 560

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Brainliest 5 stars and thank you! (correct answers only)
elena-s [515]

Answer:

Answer -   -5

Step-by-step explanation:

7 0
2 years ago
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I worked it out as 11x^2 over 12y but I'm doubtful. <br><br> Thank you for helping!
elena-14-01-66 [18.8K]

similar answer 11x^2/12y-

5 0
3 years ago
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Bill has 4 times as much money as Ted. If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted. How mu
Dima020 [189]
<h3><u>Question:</u></h3>

Bill has four times as much money as Ted. If Ted spends $100 and Bill spends $75, Bill will have five times as much money as Ted. How much money do Bill and Ted have before and after spending money?

<h3><u>Answer:</u></h3>

Before spending money, Bill has $1700 and Ted has $425

After spending money, Bill has $ 1625 and Ted has $ 325

<h3><u>Solution:</u></h3>

Let the amount of money Bill has be "b"

Let the amount of money Ted has be "t"

Bill has 4 times as much money as Ted, we can say the following:

b = 4t  ---------- eqn 1

If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted.

b - 75 = 5 ( t - 100 )  ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

4t - 75 = 5( t - 100 )

4t - 75 = 5t - 500

5t - 4t = 500 - 75

<h3>t = 425</h3>

From eqn 1,

b = 4(425) = 1700

<h3>b = 1700</h3>

So, before spending money, Bill has $1700 and Ted has $425.

<u><em>After spending money:</em></u>

Bill = b - 75 = 1700 - 75 = $ 1625

Ted = t - 100 = 425 - 100 = $ 325

8 0
2 years ago
Describe a scenario where the function value exists at x=c, but the limit does not exist.
Vikki [24]

The scenario can be described using a piecewise function like:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

<h3>When the value exists but the limit does not?</h3>

Remember that the limit only exists if the limit from left and the limit from the right give the same value.

Then, we can just define a piecewise function of the form:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

Clearly, this is not a continuous function.

Notice that:

f(c) = c.\\\\ \lim_{x \to c^{-}} f(x) = 1/c\\\\ \lim_{x \to c^{+}} f(x) = 1/(c + 73)

So the limits from left and right are different, then:

\lim_{x \to c^{}} f(x)

Does not exist.

If you want to learn more about limits:

brainly.com/question/5313449

#SPJ1

6 0
2 years ago
Please help!!!! question is/.........
Andrew [12]
Area of circle = 3.14 x 6^2 = 3.14 x 36 = 113.04

1/2 circle = 113.04 / 2 = 56.52

Area of rectangle = 8 x 6 = 48

Area of figure = 48 + 56.52 = 104.52 

answer
104.52 ft^2
8 0
3 years ago
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