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Andrews [41]
2 years ago
12

3. 40% of x is 35. Write an equation. Then use your equation to find x.​

Mathematics
2 answers:
ivann1987 [24]2 years ago
7 0

Answer:

87.5

Step-by-step explanation:

40% of x = 35 , that is

\frac{40}{100} x = 35

0.4x = 35 ( divide both sides by 0.4 )

x = \frac{35}{0.4} = 87.5

MrRissso [65]2 years ago
5 0

Answer: x =  87.5

................

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Which expression is equivalent to -51 - (-60)−51−(−60)
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Answer:

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Step-by-step explanation:

Always remember negative x negative = positive

-51-(-60)-51-(-60)

-51+60-51+60

9+9

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andreyandreev [35.5K]

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3 years ago
How do you do this question?
IRINA_888 [86]

Answer:

∑ (-1)ⁿ⁺³ 1 / (n^½)

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Step-by-step explanation:

If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.

Option A: (-1)²ⁿ is always +1.  So an =│an│and both series converge (absolutely convergent).

Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).

Option C: an = 1 / n³ isn't an alternating series.  So an =│an│and both series converge (p series with p > 1).  This is absolutely convergent.

Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series.  bn = 1 / (8 + n), which diverges.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

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3 years ago
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