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aksik [14]
3 years ago
7

mrs peters bought 7 1/2 yards of fabric she needs another 4 7/8 yards how many yards of fabric does she need altogether

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
7 1/2 = 15/2 = 60/8
4 7/8 = 39/8

60/8 + 39/8 = 99/8 = 12 3/8 yards
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3 years ago
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Calculate the sum of the first 36 terms of the arithmetic sequence defined in which a36=14 and the common difference is d=1/8
user100 [1]

Answer:

425.25


Step-by-step explanation:

Since we are given 36th term as 14 and we know common difference is \frac{1}{8}, it means that from the first term, we add \frac{1}{8} to each and get 14 on the 36th term. To figure out the first term, thus, we have to subtract \frac{1}{8} 35 times from 14. Let's do it to get first term:

14-35(\frac{1}{8})=\frac{77}{8}=9.625

The sum of arithmetic sequence formula is:

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where,

  • S_{n} is the sum of nth term (we want to figure this out for first 36 terms)
  • a is the first term (we figured this out to be 9.625)
  • n is the term number (36 for our case)
  • d is the common difference (given as \frac{1}{8})

Substituting all the values, we get:

S_{36}=\frac{36}{2}[2(9.625)+(36-1)(\frac{1}{8})]\\S_{36}=18[19.25+4.375]\\S_{36}=18[23.625]\\S_{36}=425.25

First answer choice is right.


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3 years ago
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So firstly, foil 3(4g + 6) and 2 (6g + 9): 12g+18=12g+18

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315 peanuts/ 15 min= 21 peanuts/min.

Jack sells 21 peanuts in 1 minute.

Hope this helps~
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