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vesna_86 [32]
2 years ago
12

Show how you got your answer, or I will mark you wrong. If correct you get the crown

Mathematics
1 answer:
Andreas93 [3]2 years ago
7 0

Answer:

48.53

Step-by-step explanation:

start inside the ( )'s and cube both 12 and 10 = 1000-1728 = -728/-15 = 48.53

-2+3=1 times 48.53

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Which expression is equivalent to 5x-30?<br> A. 5(x-30)<br> B. 5(x-6)<br> C. 5x(x-6)<br> D. x(5-30)
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The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (
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Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

<u>Sum of terms:</u>

  • Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
  • S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
  • 2020 = 10(2a₁ + 19d)
  • 202 = 2a₁ + 19d

<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>

  • 202 = 2a₁ + 38k
  • 101 = a₁ + 19k

<u>Possible values of k= 1,2,3,4,5</u>

  • k = 1 ⇒ a₁ = 101 - 19 = 82
  • k = 2 ⇒ a₁ = 101 - 38 = 63
  • k = 3 ⇒ a₁ = 101 - 57 = 44
  • k = 4 ⇒ a₁ = 101 - 76 = 25
  • k = 5 ⇒ a₁ = 101 - 95 = 16

<u>As per above, </u>

  • a) possible progressions are 5
  • b) the smallest and largest possible values of the first term are 16 and 82
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How to do a diagram in math for kelly correctly answered 80% of the 20 questions on the test
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Step-by-step explanation:

80:100=x:20

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