what is the value of x in the proportion below?​

Answer:

9 comedy

12 horror

Step-by-step explanation:

First, there are 360 degrees in a circle.

Comedy = 90 degrees

Action and romance = 90 degrees combined

Horror = 120 degree

Science fiction = 60 degrees

To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees

36 students took the survey.

1/4 × 36 = 9

Horror is 120 degrees out of 360 degrees or 1/3 of the circle.

1/3 × 36 = 12

Answer: 12 students

Step-by-step explanation:

360* circle, 1 student per 10* so 120* = 12 students.

To double check, 90* = 9 students.

Answer:

2d

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, thus

a₃ - a₁

= a₁ + 2d - a₁

= 2d

Answer: 1/11

Step-by-step explanation:

Let x be no. of yellow cubes.

Blue = 2x

Green = 4 x 2x = 8x

Total cubes = x + 2x + 8x = 11x

P(yellow) = x / 11x = 1/11

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

Answer:

x = 31

Step-by-step explanation:

[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Answer:

4 gallons

Step-by-step explanation:

Say that g = the number of gallons of a 20% salt solution,

The first thing we want to do here is to convert each " percentage " into decimal form, to make things a bit simpler here.

( [tex]20(percent) = 0.20[/tex]

( [tex]30( percent ) = 0.30[/tex]

( [tex]25( percent ) = 0.25[/tex]

Before this mixture takes place, the 20% salt solution is associated with g, the number of gallons of a 20% salt solution. Respectively the 30% salt solution is associated with 4 gallons. After mixing the two ( g and 4 ) the 25% salt solution should be associated with g + 4. We can therefore conclude the following equation -

0.20( g )+0.30( 4 ) = 0.25( g + 4 )

And now, let us solve for " g, "

0.2g + 1.2 = 0.25g + 1

- 0.2g       = - 0.2g

_________________

1.2 = 0.05g + 1

- 1  =          -  1

_________________

0.2 = 0.05g,

g = 4 gallons of a 20% salt solution

Answer:

10,000 is the answer to ur question

Answer:

10000

Step-by-step explanation:

√100000000 = 10000

Answer:

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Step-by-step explanation:

Carlos graphed the set of points that are equidistant from both point A and point B.

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Answer:

0

Step-by-step explanation:

Continuing from where Karissa stopped, solving for the value of x in the equation can be done as follows:

[tex]\frac{1}{2}x = \frac{-1}{2}x[/tex]

[tex]\frac{x}{2} = \frac{-x}{2}[/tex]

Cross multiply

2x = -2x

2x + 2x = 0

4x = 0

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{0}{4}[/tex]

x = 0

The value of x in the equation Karissa was solving is 0

Answer:

A (0,-3) and D(4,5)

Step-by-step explanation:

Given system of equations

y = x2 - 2x-3

y = 2x - 3

Solution to these will be value of x for which value of y in both equation will  same.

In graph, solution will point at which  curve of both equation intersect each other

To solve this we will equate the two  equations

[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]

Thus, value of x is 0 and 4

we will put this value in given set of equation.

y = 2x- 3

taking x  = 0

y = 2*0 -3 = 0-3 = -3

one solution is (0,-3)

taking x = 4

y = 2*4 - 3 = 8-3 = 5

Another solution is (4,5).

Though , the problem is solved we will see it this value satisfies other equation or not better understanding

y = x^2 - 2x-3

taking x = 0

y = 0^2 - 2*0-3 = -3

one solution (0,-3)

taking x = 4

y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5

other solution (4,5)

thus, we see both equation gives same set of solution.

Answer:

Hey there!

The line 4x-3y=-9 can be converted to y=mx+b form.

4x-3y=-9

-3y=-4x-9

3y=4x+9

y=4/3x+3

The slope of a line perpendicular to this line would be -3/4.

The slope of a line parallel to this line would be 4/3.

Hope this helps :)

Answer:

36°.

Step-by-step explanation:

According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.

m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.

(8x + 16) + (6x - 60) = 180

8x + 6x + 16 - 60 = 180

14x - 44 = 180

14x = 224

x = 16

m∠ABC = 6x - 60

6 * 16 - 60 = 96 - 60 = 36

So, m∠ABC = 36°

Hope this helps!

Answer:

36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180

14x = 224

x = 16

m<ABC = 6x-60

m<ABC = 96-60

m<ABC = 36

Answer:

6 / x^2

Step-by-step explanation:

2/x^2+4/x^2

Denominators are equal so add the fractions.

2 + 4 / x^2

6 / x^2

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The answer would be 6/^x2

I attached a picture below, sorry for the bad handwriting

By xBrainly

Answer:

1.   2 1/4 cups  

2.  2 7/20 cups

Answer:

2 1/4 and 2 7/20

Step-by-step explanation:

Answer:

A rational number is a number that can be written in the form  

p

q

, where  

p

and  

q

are integers and  

q

≠

o

.

Answer:

715.1153

Step-by-step explanation:

write

seven hundred fifteen = 715

and

one thousand one hundred fifty- three = 1,153

ten-thousandths  = 1/10,000 = 0.000 1

 together = 0.1153

as a decimal number

So when added together

the number is

715.115 3

Answer:

715.1153

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Step 1: Subtract 1/2x on both sides

-1/4x - 1/8 = 7/8

Step 2: Add 1/8 on both sides

-1/4x = 1

Step 3: Divide both sides by -1/4

x = -4

Answer:

x = -4

Step-by-step explanation:

1/4x-1/8=7/8+1/2x

Add 1/8 to each side

1/4x-1/8+1/8=7/8+1/8+1/2x

1/4 x = 1 + 1/2x

Subtract 1/2x from each side

1/4x -1/2x = 1 + 1/2x -1/2x

Getting a common denominator for the x terms

1/4x -2/4x =1

-1/4x = 1

Multiply by -4

-4 * -1/4x = 1* -4

x = -4

Answer:

C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)

Step-by-step explanation:

Answer: 19t +100

Step-by-step explanation:

19t +100  where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.

Answer:

19t+100

Step-by-step explanation:

it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot

Answer:

greatest common factor

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The diagram of the cone is drawn and attached below.

We are given the following information:

Therefore, the label which represents the center of the base is C.

The label that represents the center of the base of the cone is the center of the base.

A cone is a three-dimensional object that is made up of a circular base and  a pointed edge at the top known as the vertex. The cone is made up of the radius, slant height and the height.  The center of a cone is the center of the base of the cone.

To learn more about a cone, please check: https://brainly.com/question/13705125

#SPJ5

Answer:  C

Step-by-step explanation:

Varies inversely means xy = k

A. 1(-3) = -3

   2(-9) = -18

                     -3 ≠ -18

B. 1(-6) = -6

   2(-12) = -24

                    -6 ≠ -24

C. 1(6) = 6

   2(3) = 6

   3(2) = 6

                6 = 6 = 6      This works!

D. 1(-3) = -3

   2(2) = 4

               -3 ≠ 4

The only table that has the same k-value is option C.

Answer:

Hello!

~~~~~~~~~~~~~~~~~

1.2n+1=1-n

=

n = 0

Step-by-step explanation:  Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

Step-by-step explanation:

Given;

Distance to her parent's house = 240 miles

Total distance travelled (to and fro) = 240×2 = 480 miles

Total time taken t = 8 hours

On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)

Let x and y represent her speed to and from her parent's house respectively.

x = y+25 ......1

The time taken to her parent's house is;

time = distance/velocity

t1 = 240/x = 240/(y+25)

The time taken from her parent's house is;

time = distance/velocity

t2 = 240/y

Total time taken t = t1 +t2

t = 240/(y+25) + 240/y = 8

Solving for y ;

(240y + 240(y+25))/(y^2 +25y) = 8

Cross multiply;

240y + 240y+6000 = 8y^2 + 200y

480y +6000 = 8y^2 + 200y

8y^2 + 200y -480y -6000 = 0

8y^2 - 280y - 6000 = 0

Divide through by 8;

y^2 - 35y - 750 = 0

Solving the quadratic equation;

y = 50

or

y = -15

Velocity cannot be negative, so y = 50mph

From equation 1;

x = y+25

Substituting y =50

x = 50 + 25

x = 75 mph

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

Answer:

128 square feet

Step-by-step explanation:

Let the perimeter of the rectangular garden be expressed as 2(L+W)

L = length of the garden

W = width of the garden

If the length of the garden is twice its ​ width then L = 2W; W = L/2

P = 2(L+L/2)

Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)

Substituting in the formula above:

32+L = 2(L+L/2)

32+L = 2L+L

32 = 2L

L = 16 feet

Since L = 2W

W = L/2 = 16/2

Width = 8 feet

Area of the garden = Length × Width

Area of the garden = 16×8

Area of the garden = 128 square feet

The area of the​ rectangular garden is equal to 128 square feet.

Given the following data:

Translating the word problem into an algebraic equation, we have;

The length of the garden is twice its​ width:

[tex]L=2W[/tex] = [tex]W=\frac{L}{2}[/tex]

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

Substituting the parameters into the formula, we have;

[tex]32+L=2(L+\frac{L}{2})\\\\32+L=2L+L\\\\32+L=3L\\\\3L-L=32\\\\2L=32\\\\L=\frac{32}{2}[/tex]

Length, L = 16 feet.

For the width:

[tex]W=\frac{L}{2}\\\\W=\frac{16}{2}[/tex]

Width, W = 8 feet.

Now, we can calculate the area of the​ rectangular garden:

[tex]Area = LW\\\\Area = 16 \times 8[/tex]

Area = 128 square feet.

Read more on area of a rectangle here: https://brainly.com/question/25292087

Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

Answer:

77

Step-by-step explanation:

you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer

Answer:

See below.

Step-by-step explanation:

June: $32

July: $45

August: $43

[tex]32+45+43=120[/tex]

Kyree has $120 in total.

School supplies: $17

Clothes: $26

[tex]26 +17=43[/tex]

[tex]120-43=77[/tex]

Kyree has $77 left.

:)

Answer: 4 pounds

Step-by-step explanation:

Mark has $9.10 to buy fruits.

6 pounds of apple at $0.99 will cost $5.94

Balance 9.10 - 5.94 = 3.16

Bananas are $0.79 a pound

For $3.16, he will get

3.16 / 0.79 = 4 pounds of bananas

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute