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3 years ago

The first term of a geometric sequence is 6, and the common ratio is 3. What is the 7th term of the sequence?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

8 0

An = a1 r^(n-1)

here a1 = 6 and r = 3 so

a7 = 6 * 3^(7-1)

= 4374 answe

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There are 3/4 as many girls as there are boys.There are 63 students in the fifth grade. How many students are girls?

klemol [59]

Answer:

27 students are girls.

Step-by-step explanation:

Given:

There are 3/4 as many girls as there are boys.

In the fifth grade total there are 63 students.

Now, to find the number of students that are girls.

Let the number of students that are boys be $x.$

So, the number of students that are girls = $\frac{3}{4} \ of\ x=\frac{3x}{4} .$

Total number of students = 63.

Now, to get the number of students that are girls we solve an equation:

$x+\frac{3x}{4} =63\\\\\frac{4x+3x}{4} =63\\\\\frac{7x}{4} =63\\\\Multiplying\ both\ sides\ by\ 4\ we\ get:\\\\7x=252\\\\Dividing\ both\ sides\ by\ 7\ we\ get:\\\\x=36.$

Now, substituting the value of $x$ :

$\frac{3x}{4} \\\\=\frac{3\times 36}{4} \\\\=\frac{108}{4} \\\\=27.$

Therefore, 27 students are girls.

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Lostsunrise [7]

Answer:

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Step-by-step explanation:

The domain is the values that x takes

The domain is -1 ≤x< 5

The range is the values that y takes

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Step-by-step explanation:

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