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frez [133]
3 years ago
9

Before a renovation, a movie theater had 135 seats. After the renovation, the theater has 166 seats. What is the approximate per

centage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
A.
18.7%
B.
21.3%
C.
37.5%
D.
23%
Mathematics
1 answer:
sukhopar [10]3 years ago
4 0

Answer:

D

Step-by-step explanation:

the percentage increase is found using

percent increase = \frac{increase}{original} × 100%

increase = 166 - 135 = 31, hence

percent increase = \frac{31}{135} × 100% = 22.96 ≈ 23% → D


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Natasha2012 [34]

Answer:

4

Step-by-step explanation:

1/3 x 12= 4

8 0
2 years ago
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If 400 students at the school took the SAT, how many scored in the 1301 to 1600 range?
harina [27]

Answer:

56 students scored in the range of 1301 to 1600.

Step-by-step explanation:

The given question is without any figure or attachment. Here is the figure attached with the answer.

In the figure attached,

total number of students who took SAT = 400

Percentage of the students who scored 1301 to 1600 range = 14% (given in the pie chart)

Total number of students who are in this range = 14% of total number of students

= 400\times\frac{14}{100}

= 56

Therefore, 56 students scored in the range of 1301 to 1600.

4 0
2 years ago
Find the rational roots f(x) =3x3+ 2x2 + 3x + 6
Ann [662]

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

<h3>How to determine the rational root of the function f(x)?</h3>

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 3

b = 6

The factors of 3 and 6 are

a = 1 and 3

b = 1, 2, 3 and 6

So, we have:

Rational roots = ±(1, 2, 3, 6)/(1, 3)

Split the expression

Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3

Evaluate the quotient

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)

Remove the repetition

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)

Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

Read more about rational roots at

brainly.com/question/17754398

#SPJ1

4 0
1 year ago
Find the perimeter of the triangle with vertices ​A(negative 2​,2​,3​), ​B(4​,negative 4​,3​), and ​C(7​,6​,4​).
gayaneshka [121]

Answer:

P\approx 28.872\,\text{units}

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

for the side AB: A(-2,2,3) and B(4,-4,3)

AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}

AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}

AB = \sqrt{72}

for the side BC: B(4,-4,3) and C(7,6,4)

BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}

BC = \sqrt{110}

for the side CA: C(7,6,4) and A(-2,2,3)

CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}

CA = \sqrt{98}

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

P = AB + BC + CA

P = \sqrt{72} + \sqrt{110} + \sqrt{98}

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this is the perimeter of triangle ABC

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Ten recorded 8 songs in 49min how many minutes is each song?
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