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satela [25.4K]
3 years ago
5

The price of limes is 6 for $1.90. Rashid expects to pay 95¢ for 4 limes.

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0
<span> C.<span>No, because each lime will cost a bit more than 30¢, so 4 limes will cost a bit more than $1.20.</span></span>
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Step-by-step explanation:

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Find the sum of 46 + 42 +38... +(-446) +(-450)
schepotkina [342]

The sum of the given sequence is -24846.

<u>Step-by-step explanation:</u>

The given Arithmetic sequence is 46 + 42 +38... +(-446) +(-450).

  • The first term of the sequence = 46
  • The last term of the sequence = -450
  • The common difference ⇒ 46 - 42 = 4

<u>To find the number of terms in the sequence :</u>

The formula used is n = (\frac{a_{n}-a_{1}} {d})+1

where,

  • n is the number of terms.
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  • a_{1} is the first term which is 46.
  • d is the common difference which is 4.

Therefore, n =(\frac{-450-46}{4}) +1

⇒ n = (\frac{-496}{4}) + 1

⇒ n = -124 + 1

⇒ n = -123

⇒ n = 123, since n cannot be negative.

∴ The number of terms, n = 123.

<u>To find the sum of the arithmetic progression :</u>

The formula used is S = \frac{n}{2}(a_{1} + a_{n} )

where,

  • S is the sum of the sequence.
  • a_{1} is the first term which is 46.
  • a_{n} is the late term which is -450.

Therefore, S = \frac{123}{2}(46+ (-450))

⇒ S = \frac{123}{2}(-404)

⇒ S = 123 \times -202

⇒ S = -24846

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5 - 4.75= 0.25

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