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pantera1 [17]
2 years ago
12

Algebra Complete the table.Write the

Mathematics
1 answer:
AURORKA [14]2 years ago
4 0

Step-by-step explanation:

<em>In the second column, we can see that every value of n is being added by 6. </em>

  • Thus, the expression is n + 6.

<em>Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.</em>

<u>When n is 12:</u>

  • n + 6 = 18
  • 12 + 6 = 18
  • 18 = 18

<u>When n is 15:</u>

  • n + 6 = 21
  • 15 + 6 = 21
  • 21 = 21

<u>When n is 21:</u>

  • n + 6 = 27
  • 21 + 6 = 27
  • 27 = 27

<em>Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.</em>

<u>Finding n + 6 when n is 28:</u>

  • n + 6 = x
  • 28 + 6 = x
  • 34 = x

Thus, the missing value in the table is 34.

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The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a len
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<u>Answer:</u>

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

<u>Solution:</u>

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

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\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}  ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get  

l_{1} = 97.5 \text { and } n_{1} = 65

Similarly, for a chain with 14 paper clips with length to be found, we get  

n_{2}=14 \text { and } l_{2} = ?

Now by using eqn 1, we can calculate the length of 14 paper clips  is,

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3 years ago
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