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musickatia [10]

3 years ago

14

The total number of seats in a theatre is modeled by f(x)=x^2-3x, where x represents the number of rows of seats. How many rows

are there in the theatre if it has a total of 208 seats

1 answer:

Gre4nikov [31]3 years ago

7 0

Answer:

16 rows

Step-by-step explanation:

x² - 3x = 208

Subtract 208 from both sides

x² - 3x - 208 = 0

Factor

(x - 16)(x + 13) = 0

x = {-13, 16}

The number of rows must be positive

x = 16

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The shown bellow question answer

Serhud [2]

Answer:

The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.

The area of the rectangle can be found by $11*4=44$

The area of a semi-circle can be found with the formula $\frac{1}{2} \pi r^2$ where r is the radius.

Since we know the diameter of the semi-circle is 4,

the radius will be 4 ÷ 2 = 2.

Therefore, the area of the semi-circle is $\frac{1}{2}\pi 2^2=\frac{1}{2}\pi*4=2\pi$

Therefore, the area of the shape is $44+2\pi$ or $50.283cm^2$ (3 decimal places)

3 0

2 years ago

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7 0

3 years ago

What magic trick does mr. utterbunk perform every evening

Kruka [31]

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4 0

3 years ago

Is it A) , B) , C), D) , E)

Mrac [35]

Answer:

Part A) The statement is True

Part B) The statement is False

Part C) The statement is True

Part D) The statement is True

part E) The statement is False

Step-by-step explanation:

Part A) we have

$1.66..=1 \frac{6}{9}$

The statement Is True

Convert the repeating decimal 1.66.. to an equivalent fraction

Let

$x=1.66..\\ 10x=16.66..\\ 10x-x=16.66..-1.66..\\ 9x=15\\ x=15/9$

Convert to mixed number

$15/9=9/9+6/9=1 \frac{6}{9}$

therefore

$1.66..=1 \frac{6}{9}$

Part B) we have

$0.6 < 6\%$

The statement is false

Because

$6\%=6/100=0.06$

so

substitute

$0.6 < 0.06$ -----> is not true

Part C) we have

$45\% \leq4.5$

The statement is True

Because

$45\%=45/100=0.45$

substitute

$0.45 \leq4.5$ ----> is true

Part D) we have

$5^{2} \geq 16$

The statement is True

Because

$5^{2}=25$

substitute

$25 \geq 16$ ----> is true

Part E) we have

$9.25 > 9\frac{3}{4}$

The statement is false

Because

Convert mixed number to an improper fraction

$9\frac{3}{4}=\frac{9*4+3}{4}=\frac{39}{4}$

Convert decimal number to an improper fraction

$9.25=9\frac{1}{4}=\frac{9*4+1}{4}=\frac{37}{4}$

substitute

$\frac{37}{4} > \frac{39}{4}$ -----> is not true

8 0

3 years ago

MO is twice as long as MN. NO= 36 cm. What lengths must NM be between in order for MNO to be formed?

Nataliya [291]

Answer:

Length of NM is 36 cm

Step-by-step explanation:

Length of MN + Length of NO = Length of MNO (Or only MO)

$X + 36 = 2X$

$2X - X = 36$

$X = 36$ cm

Thus, length of MN is equal to length of NO i.e 36 cm

The line MNO has point N, that bisect it into two equal half.

Thus, the line MNO has two parts

Total length of line MNO = MN + NO = $36 + 36 = 72$ cm

4 0

3 years ago