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3 years ago

NEEEDDD ASAPPP! Eight theater has 500 seats the 3/4 of the seats are filled how many seats are filled?

Mathematics

2 answers:

Anton [14]3 years ago

7 0

3/4=0.75
0.75×500=375
375 of the 500 seats are filled

vazorg [7]3 years ago

3 0

Assuming you meant "A theater" the answer would be 375 seats.

Turn 3/4 into a decimal: .75

Now multiply the decimal by 500: .75 x 500 = <u>375</u>

If u meant 8 theaters, then i screwed up

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Sveta_85 [38]

The answer to this question is 25

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3 years ago

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

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2 years ago

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2 years ago

Alex skipped a jump rope 50 times every minute as shown by this table. x equals the number of minutes, and y equals the

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Answer:

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6 0

2 years ago

The sum of two consecutive even numbers is 210.

WITCHER [35]

Answer:

104, 106

Step-by-step explanation:

Hello!

A consecutive number is a number that comes after the other.

Let the first even integer be x. Since there is an even integer for every two integers, the second number should be x + 2.

<h3>Solve for x</h3>

(x) + (x + 2) = 210
x + x + 2 = 210
2x + 2 = 210
2x = 208
x = 104

The second number is x + 2, so it would be 106.

6 0

1 year ago

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