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andriy [413]
3 years ago
9

Jonathan is making his favorite pasta dish he served his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. how much o

f the pot is left over?
Mathematics
2 answers:
Serjik [45]3 years ago
5 0
3/4
1/6 of the pot is 2/12
1/12 + 2/12 is 3/12
1 - 3/12 is 9/12 = 3/4

3/4 of the pot is left over
faltersainse [42]3 years ago
5 0
Portion served to both mother and brother
=  \frac{1}{12}  +  \frac{1}{6} \\  \frac{1 + 2}{12}  \\  =  \frac{3}{12}
remaining portion
1 -  \frac{3}{12}
=
\frac{12}{12}  -  \frac{3}{12}
=
\frac{9}{12}  =  \frac{3}{4}
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Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.
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Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


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3 years ago
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The cost of a school banquet is $50+14n, where n is the number of people attending. What is the cost for 26 people?
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Answer:

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Step-by-step explanation:

n is our variable, so substitute n for 26.

50 + (14*26)

264 + 50 = 414



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4 years ago
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Answer:

One solution

Step-by-step explanation:

Move variables to one side and constants to the other.

x-4y=-1

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