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Harman [31]
3 years ago
13

Plastic cups comes in an 10-pack, but paper plates come in a 12 pack. What is the smallest number of plastic cups and paper plat

es you can purchase if you want to have the same number of each for an upcoming BBQ?
Mathematics
1 answer:
Andrei [34K]3 years ago
7 0
The answer is 60. You can find this out by finding the least common multiple of 10 and 12, which is 60 because 10x6=60 and 12x5=60. Hope this helps :)
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Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric
quester [9]
I'm guessing S^20 is actually referring to the 20th partial sum S_{20}, with

S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)

in the arithmetic case, and

S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}

in the geometric case.

(a) Combining like terms, we have

S_{20}=20+0.1(1+2+\cdots+18+19)

and invoking the formula

1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2

we end up with

S_{20}=20+0.1\dfrac{19\times20}2=39

(b) Multiply S_{20} by 1.1, then subtract this from S_{20}:

1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}

S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}
\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275
7 0
3 years ago
What is the value of x?
Len [333]

Answer:

x=3

Step-by-step explanation:

4 0
3 years ago
[(4096)⁰]⁻⁴ =<br> a)1/(4096)⁴<br> b)-4<br> c)4096<br> d)1
SOVA2 [1]

[(4096)⁰]⁻⁴ = (4096)⁰ = 1

OPTION D

5 0
3 years ago
How many times is 3 in 43.999 than the value of the digit 3 in 42.103
Dennis_Churaev [7]

Answer:

1. 14.666 ¯ over the 3

2. 14.034 ¯ over the 3

Step-by-step explanation:

5 0
3 years ago
Leyla drops a penny from a height of 150 m. How long will it take the penny to hit the ground? Use the formula h(t)=−4.9t^2+vt+h
torisob [31]
To determine the time it  takes for the penny to reach the ground, we use the relation of height and time given above. We do  as follows:
<span>
0 =−4.9t^2+(0)t+150
t = sqrt( 150/4.9)
t = 5.53 s

Hope this answers the question. Have a nice day.</span>
4 0
3 years ago
Read 2 more answers
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