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Viktor [21]
3 years ago
11

You have 45 pencils. Five out of every 9 are yellow pencils and the rest are brown. How many pencils are yellow?

Mathematics
2 answers:
Aleks [24]3 years ago
5 0

Five out of every nine pencils are yellow. You can make a fraction for this:

\frac{5}{9}

You have 45 pencils. To find the amount of yellow pencils, multiply the fraction by 45. First set up the equation:

\frac{5}{9} \times 45

Make 45 as a fraction so that you'll be multiplying fractions together. It will also make it easier.

To write a whole number as a fraction, <em>ALWAYS</em> make the whole number the denominator and 1 as the numerator.

45 \rightarrow \frac{45}{1}

Here is the "new equation":

\frac{5}{9} \times \frac{45}{1}

Multiply. You multiply the numerators and denominators together.

\frac{5}{9} \times \frac{45}{1} =\frac{225}{9} = 25

That means <u>25</u> pencils are yellow

Mandarinka [93]3 years ago
5 0

5/9 * 45/1 is 25

25 pencils are yellow hope this is helpful, have a good day! :D

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RoseWind [281]

Answer:

a_n=2+3n

\displaystyle S_n=\frac{7n+3n^2}{2}

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<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of the n terms of an arithmetic sequence is given by:

\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

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Thus the general term of the sequence is:

a_n=5+(n-1)3=5+3n-3=2+3n

\boxed{a_n=2+3n}

The formula for the sum is:

\displaystyle S_n=\frac{5+2+3n}{2}\cdot n

\displaystyle S_n=\frac{7+3n}{2}\cdot n

Operating:

\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}

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