A movie club surveyed 150 high school students. The students were asked how often they go to the movies and whether they prefer comedies or dramas. Their responses are summarized in the following table. Twice a month or less 48 Three times a month or more Comedy 24 Drama 57 21 (a) What percentage of the students prefer dramas? (b) What percentage of the students go to the movies twice a month or less?​

Answer:

D) 6^5 · 3^5

Step-by-step explanation:

(6 · 3)^5 = 1889568

A) WRONG

(5 · (6 · 3)) = 90

B) WRONG

9^5 = 59049

C) WRONG

6 · 3^5 = 1458

D) CORRECT

6^5 · 3^5 = 1889568

Answer:

25

Step-by-step explanation:

Answer:

perimeter = 30.56 units

Step-by-step explanation:

perimeter of full circle = 2(4)(3.14) = 25.12

perimeter of semi circle = (25.12)(0.5) = 12.56

perimeter = 12.56 + 10 + 8 = 30.56

Answer:

solution given:

B.

CE=2×2=4[base side is double to the line of mid point]

AB=15/2=7.5[b is a mid point]

m<AEC=75°[ corresponding angle]

5.

given:

BD=x+1

CE=x+10

we have

2BD=CE

2(x+1)=x+10

2x+2=x+10

2x-x=10-2

x=8

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

          1, -2≤x≤4

          5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

brainly.com/question/5245372

#SPJ2

Answer:

5.670, 56.27,5.72.

Step-by-step explanation:

All you do is pay attention to that decimal and remember that the places where the numbers are present; they are invisible zero so,

56.72 is the same as 56.720000.

It's pretty clear for this question since the numbers are clear so all you do is look at the decimals.

Answer:

C. [tex] \sqrt{x + 2} - \sqrt{x}[/tex]

Step-by-step explanation:

[tex] \frac{2}{ \sqrt{x} + \sqrt{x + 2} } \\ \\ = \frac{2}{ (\sqrt{x} + \sqrt{x + 2}) } \times \frac{(\sqrt{x} - \sqrt{x + 2})}{(\sqrt{x} - \sqrt{x + 2})} \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2} - {( \sqrt{x + 2} )}^{2} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - {( x + 2)} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - x - 2 } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ - 2 } \\ \\ = - ( \sqrt{x} - \sqrt{x + 2}) \\ \\ \frac{2}{ \sqrt{x} + \sqrt{x + 2} } = \purple{ \bold{\sqrt{x + 2} - \sqrt{x} }}[/tex]

Answer:

Maria needs to start at 9:20 in order to make it to the terminal.

Step-by-step explanation:

2:30 + 0:20 = 2:50. 12:10 - 2:50 = 9:20.

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

Answer:

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Step-by-step explanation:

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

length of a living room = 12ft

width = 10 1/2 ft

The length of the living room is being expanded by X feet

New length of a living room = 12ft + x feet

new area of the living room = length × width

= 12ft + x feet × 10 1/2 ft

= (12 + x) 10 1/2

Note: 10 1/2 is equivalent to 10.5

= (12 + x) 10.5

= (126 + 10.5x) square feet

Options that applies

C. 10.5(12 + x) square feet

E. (126 + 10.5x) square feet

Answer:

C

Step-by-step explanation:

The line rises up 8, and the run is 2, 8/2=4.

Answer:

S.A. = 138.16

Step-by-step explanation:

S.A. = πrl+πr²

3.14 x 4 = 12.56

12.56 x 7 =87.92

3.14 x 4 = 12.56

12.56 x 4 = 50.24

87.92 + 50.24 = 138.16

Let me know if this helps!

Answer:

huh

Step-by-step explanation:

=- No way

Step-by-step explanation:

Answer:

a) length of sides remain unchanged

Step-by-step explanation:

Answer:

A: cow :milk bc it comes ot the cow like the egg comes out the chicken

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

all if you don't answer them

Answer:

a = - 24 ; n =25

a = 28 ; n = 25

Step-by-step explanation:

n = l - a/d + 1

d = common difference = 4

Last term = l = 72

n = 72 - a/4 + 1

4n = 72 - a + 4

4n = 76 - a

a = 76 - 4n - - - (1)

Sum of terms :

Sn = n/2(a + l)

Sn = 600

600 = n/2(a + 72)

1200 = n(76-4n +72)

1200 = 148n - 4n

4n² - 148n + 1200

Solving the quadratic equation :

Roots of n are :

12 and 25

From (1)

n = 12

a = 76 - 4(12) = 28

n = 25

a = 76 - 4(25) = - 24

Hence,

a = - 24 ; n =25

a = 28 ; n = 25

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

Answer:

The number of days in y hours is y/24

Step-by-step explanation:

Here, we want to write an expression

Mathematically;

1 day = 24 hours

? days = y hours

? days = (y * 1)/24

? days = y/24

Answer:

c times m

Step-by-step explanation:

hope this helps :b

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

Answer:

x=4

Step-by-step explanation:

if AB = 2x-5 and AC = 3x-9 and AB=AC then:

2x-5 = 3x-9

-x-5=-9

-x=-4

x=4

Answer:

y=-7/4x+6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-6)/(4-0)

m=-7/4

y-y1=m(x-x1)

y-6=-7/4(x-0)

y-6=-7/4(x)

y-6=-7/4x

y=-7/4x+6

64 cm

(Pls brainliest)