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elena-14-01-66 [18.8K]
3 years ago
15

Which of the following is equivalent to this expression? 40 ÷ 1/4

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Answer:

= 160

Step-by-step explanation:

40 ÷ 1/4 = 40 ÷ .25

= 160

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What is the area of the real backyard?
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Suppose that $a$ is a positive integer for which the least common multiple of $a+1$ and $a-5$ is $10508$. What is $a^2 - 4a + 1$
Nana76 [90]

Answer:

21022.

Step-by-step explanation:

Find the prime factors of 10508:

2 ) 10508

2 ) 5254

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       71.

50208 = 2*2*37*71.

Now there is no integer value for a that would fit  (a+ 1)(a - 5) = 10508 .

But we could try multiplying the LCM by 2:-

= 21016  = 2*2*2*37*71.

= 2*2*37 multiplied by 2 * 71

= 148 * 142.

That looks promising!!

a - 5 = 142 and

a + 1 = 148

This gives  2a - 4 = 290

2a = 294

a = 147.

So substituting a = 147 into a^2 - 4a + 1 we get:

= 21022.

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