3 years ago

What is the answer and why is it correct explain

Mathematics

1 answer:

Colt1911 [192]3 years ago

7 0

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Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the

Pani-rosa [81]

Answer: The missing number in the sequence is $\frac{7}{6}$

Step-by-step explanation:

Since we have given that

$\frac{1}{6},\frac{1}{2},\frac{5}{6},----------,\frac{11}{2}$

First term = a= $\frac{1}{6}$

Common difference = d is given by

$d=a_2-a_1\\\\\frac{1}{2}-\frac{1}{6}\\\\=\frac{6-2}{12}\\\\=\frac{4}{12}=\frac{1}{3}\\\\Similarly,\\d=a_3-a_2\\\\=\frac{5}{6}-\frac{1}{2}\\\\=\frac{10-6}{12}\\\\=\frac{4}{12}\\\\=\frac{1}{3}$

Therefore, it forms an arithmetic sequence.

Since, $a_4$ is missing,

So,

$a_4=a+3d\\\\a_4=\frac{1}{6}+3\times \frac{1}{3}\\\\a_4=\frac{1}{6}+1\\\\a_4=\frac{1+6}{6}\\\\a_4=\frac{7}{6}$

Hence, the missing number in the sequence is $\frac{7}{6}$

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3 years ago

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What is 75% of 118? Explain how you solved the problem using words and/or numbers.

Vilka [71]

Answer:

88.5

Step-by-step explanation:

⇒ 75% × 118 = y

⇒ $\frac{75}{100}$ × 118 = y

⇒ 0.75 × 118 = y

⇒ 88.5 = y

Hope this helps! Good Luck!

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The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho

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Answer:

x = 2010

Step-by-step explanation:

It is difficult separating and organizing the data. The best I can see is that the question is asking what is the value of x to make f(x) = t(x) true. x = 2010 is a year in which enrollment was the same, 740, in both f and t.

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Awnser:

Explanation:

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12 because it’s a positive gain

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