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Talja [164]
3 years ago
7

The committee is planning a party and 150 guests are expected. Each table seats 12 people. How many tables will be needed to sea

t all 150 guests?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

You will need about 13 tables.

Step-by-step explanation:

I divided the number of guests by 12 and got 12.5 however you can't have half of a table so I rounded up and got 13.

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.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
EastWind [94]

We can employ a simple repeated decimal trick:

x=1.111\ldots

0.1x=0.111\ldots

\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9

###

Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}

\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}

\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

6 0
3 years ago
Read 2 more answers
If 4 times the sum of a number and 3 is six less than twice the number, what is the number?
Nat2105 [25]

Answer:

-9

Step-by-step explanation:

4(n + 3) = 2n - 6

4n + 12 = 2n - 6

2n = -18

n = -9

3 0
3 years ago
What is the answer and the work i have to do to get to it
harina [27]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
25 points!!!! HELP ANSWER!
Fantom [35]

Answer:

a) 1st and 2nd

b) 4th one

Step-by-step explanation:

8 0
3 years ago
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How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5
bulgar [2K]

Answer:

Option B

Step-by-step explanation:

From the question we are told that:

Demand point m=5

Supply Point n=6

Generally the equation for fixed-requirement constraints is mathematically given by

 X=m+n

 X=5+6

 X=11

Therefore the correct option is

Option B

7 0
3 years ago
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