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julia-pushkina [17]
2 years ago
10

I need help with this problem down below

Mathematics
1 answer:
Misha Larkins [42]2 years ago
8 0

Answer:

y = 4

Step-by-step explanation:

Given:

y = \frac{7x + 1}{3x - 6},

To find the value of y, let's find x by solving 3x = 15.

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Plug in the value of x into y = \frac{7x + 1}{3x - 6}

y = \frac{7(5) + 1}{3(5) - 6}

y = \frac{35 + 1}{15 - 6}

y = \frac{36}{9}

y = 4

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Suppose that five ones and four zeros are arranged around a circle. Between any two equal bits you insert a 0 and between any tw
PolarNik [594]

Answer:

Using <u>backward reasoning</u> we want to show that <em>"We can never get nine 0's"</em>.

Step-by-step explanation:

Basically in order to create nine 0's, the previous step had to have all 0's or all 1's. There is no other way possible, because between any two equal bits you insert a 0.

If we consider two cases for the second-to-last step:

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A circle contains only 1's, if every pair of the consecutive nine digits is different. However this is impossible, because there are five 1's and four 0's (we have an odd number of bits!), thus if the 1's and 0's alternate, then we obtain that 1's that will be next to each other (which would result in a 1 in the next step). Thus, we obtained a contradiction and thus assumption that the circle contains nine 0's after iteratins the procedure is false. This then means that you can never get nine 0's.

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<u />

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Answer:

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Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

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Answer:

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