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Troyanec [42]
2 years ago
8

Andre looks at a box of paper clips. He says: “I think the number of paper clips in the box is less than 1,000.” Lin also looks

at the box. She says: “I think the number of paper clips in the box is more than 500.”
Write an inequality to show Andre's statement, using p for the number of paper clips.
Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
7 0

Answer:

<em>500 </em>\leq<em> </em><em>p </em>\leq<em> </em><em>1000</em>

Step-by-step explanation:

Since Andre if giving a rough estimate about how much paper clips are in the box, we will use the \leq (less than or equal to)

Your X value will be your actual number, the equation shows us that p is anywhere between 500 - 1000

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Evaluate the logarithmic expression Log subscript5^25 +log subscript 5^625/logsubscript5^100. The value of the expression, round
Lady bird [3.3K]
Hello !
Here are some rules for logarithms :    log ₐ b = n ⇔ aⁿ = b
                                                             log ₐ aⁿ = n
                                                             log ₐ (b·c) = logₐ b + log ₐ  c                                                                                                                  
                                                             log ₐ bⁿ = n· log ₐ b                                        ____________________________________________________
25=5²
625=5⁴
100 = 5² · 2²
____________________________________________________



(log₅ 25 + log₅ 625) / log₅100 =
 (log₅ 5²+ log₅ 5⁴) / log₅ (5² · 2²) =
 (log₅ 5²+ log₅ 5⁴) /( log₅ 5² + log₅ 2²) =
(2 + 4)/(2+log₅ 2² ) =
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6/2 + 6/ (2·log₅2) =

3+ 3/log₅2
log₅2 = 0.5

So 3+ 3/log₅2 = 3 + 3/0.5 =3 + 6 = 9 

Answer : 9






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3 years ago
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