A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 dramas, for a total of 372 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 2 sitcoms and 6 dramas, for a total of 288 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?

Complete Question:

Find the coordinates of the point after the described reflection. Give the distance between the point and its reflection. R(-5, 8) is reflected across the x-axis _____________.

Answer:

[tex](a)[/tex] [tex]R' = (-5,-8)[/tex]

[tex](b)[/tex] The distance is 16 units

Step-by-step explanation:

Given

[tex]R = (-5,8)[/tex]

Solving (a): Reflection across x-axis

The rule is:

[tex]R(x,y) ==> R(x,-y)[/tex]

So, the reflection of [tex]R = (-5,8)[/tex] is:

[tex]R' = (-5,-8)[/tex]

Solving (b): The distance between R and R'

Distance (d) is calculated as:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]R = (-5,8)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]R' = (-5,-8)[/tex] --- [tex](x_2,y_2)[/tex]

This gives:

[tex]d = \sqrt{(-5- -5)^2 + (-8- 8)^2}[/tex]

[tex]d = \sqrt{(0)^2 + (-16)^2}[/tex]

[tex]d = \sqrt{256}[/tex]

[tex]d = 16[/tex]

The distance is 16 units

Answer:

4 1/6 inches

Step-by-step explanation:

A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.

Perimeter of Triangle = Side a + Side b + Side c

Perimeter of the Triangle =

( 1 1/6 + 1 1/3 + 1 2/3) inches

Lowest common denominator = 6

= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)

= 3 + (1 + 2 + 4/6)

= 3 + 7/6

= 3 + 1 1/6

= 4 1/6 inches

Answer:

11 feet

Step-by-step explanation:

All the sides of a square are equal

the area of a square = length²

121 ft² = length²

to determine the length find the square root of the area, 121

√121 = 11 feet

Step-by-step explanation:

Given

sin(α+β) cos(α-β) +cos(α+β) sin(α -β)

We can see it is in the formula of

sin(A + B) = sinA cosB + cosA sinB

So now

Sin ( α + β + α - β)

= sin 2α

Or we can write sin2α as

= 2 sin α * cos α

Hope it will help :)❤

The most frequent value = mode

The middle value = median

The average = mean

The difference between the lowest and highest value = range

Answer:

Mode is the most frequent value

Mean is the average

Median Is the middle value

Range is the difference between etc...

Because 19 is being divided, you have to do the opposite. What's the opposite of division? Multiplication. So multiply 19 to -7, then get rid of the 19 on the x's side(cuz it was cancelled out). Now you should have x<-133. In case you don't know, positive times negative equals negative, but negative times negative equals positive.

---

hope it helps

Answer:

Operations Inverse operations

Addition             Subtraction

Subtraction      Addition

Multiplication      Division

Division           Multiplication

Step-by-step explanation:

i hope this will help you

Answer:

It’s -2 and 0 AND also 2 and 4

Step-by-step explanation:

Good luck!

Answer:

I got full 3 marks for this but you might have to reword depending on how your mathswatch was set

Step-by-step explanation:

12-2=10

10×180=1800

1800/12=150

=150˚

150/2=75

=75

Answer:

pretty sure its 4b!

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer: x=50°

Step-by-step explanation:

For this question, you have to first find out whether you are using Sin, Cos or Tan.

To help you find out which one you are using you can use SOH CAH TOA to help you:

SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.

In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.

So first you would write:

Cos x=59/91

But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:

x=cos-1 59/91

To get the answer you would have to put this in your calculator.

So x=50°

Hope this helps :)

Answer:

so not submit yet, i cant see the digits in the sphere.

Answer:25$

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The awnser is 24 because you have to multiple 6x4

Step-by-step explanation:

6x4=24

Answer:

90 miles

Step-by-step explanation:

There's more than one way in which to do this.  I have chosen to convert '180 minutes' to '3 hours.'

Since distance = rate times time, we have here:

distance traveled in 180 minutes = (30 mph)(3 hr) = 90 miles

Answer:

I believe that the answer is C: 72 cm²

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

Answer:

5.75 gallon each

Step-by-step explanation:

Simple unit rate problem

So we have 23 gallons of apple juice and 4 people sharing this 23 gallons evenly. So we jsut divide. 23/4= 5.75

So 5.75 gallon each.

Answer:

5 3/4 (5.75)

Step-by-step explanation:

23 divided by four team mates equals 5.75

Answer:

17

Step-by-step explanation:

h²=p²+b²

hypotenuse is x.

So, 8²+15²=289 which is 17²

so, h=17

Answer:

answer is c 15904.48

Step-by-step explanation:

y=a(l-r )   Y=18000(1 - .06) = 15904.48

Answer:

[tex]Column\ 1: 4y^2[/tex]

[tex]Column\ 2: 6x^3+4xy+3y[/tex]

Step-by-step explanation:

Given

[tex]24x^3y^2+16xy^3+12y^3[/tex]

Required

Determine the product from the given column

[tex]24x^3y^2+16xy^3+12y^3[/tex]

Factor our [tex]y^2[/tex]

[tex]24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)[/tex]

Factor out 4

[tex]24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)[/tex]

So: the factors are:

[tex]4y^2[/tex] and [tex]6x^3 + 4xy + 3y[/tex]

This gives:

[tex]Column\ 1: 4y^2[/tex]

[tex]Column\ 2: 6x^3+4xy+3y[/tex]

Answer:

1.230 euros

Step-by-step explanation:

De la pregunta anterior se nos dice que:

Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.

Paso 1

Sea el porcentaje de la suma total de dinero = 100%

Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.

Dejemos que el resto esté representado por x

Por eso;

Primera parte + Segunda parte + Tercera parte = 100%

60% + 25% + x = 100%

x = 100% - (60% + 25%)

x = 100% - 85%

x = 15%

Paso 2

¿Cuánto pagó Yolanda la última vez?

La última vez = Tercera parte y esto se calcula como:

15% de 8.200 euros

= 15/100 × 8.200 euros

= 1.230 euros

Yolanda pagó 1.230 euros la última vez.

Answer:

Fred needs 3 cups of sugar to make 4 batches

Fred needs 3/8 cups of sugar to make 1/2 batches

Step-by-step explanation:

1 batch of cookies = 3/4 cups of sugar

how many cups of sugar does Fred need to make 4 batches

Let x = cups of sugar needed

Batches : Cups of sugar

1 : 3/4 = 4 : x

1 ÷ 3/4 = 4/x

1 * 4/3 = 4/x

4/3 = 4/x

Cross product

4 * x = 3 * 4

4x = 12

x = 12/4

x = 3 cups of sugar

Fred needs 3 cups of sugar to make 4 batches

how many cups of sugar does Fred need to make 1/2 batches?

Let x = cups of sugar needed

Batches : Cups of sugar

1 : 3/4 = 1/2 : x

1 ÷ 3/4 = 1/2 ÷ x

1 * 4/3 = 1/2 * 1/x

4/3 = 1/2x

Cross product

4 * 2x = 3 * 1

8x = 3

x = 3/8 cups of sugar

Fred needs 3/8 cups of sugar to make 1/2 batches

Answer:

6.35 x 10-5

Step-by-step explanation:

5.15 x 10-4 = 47.5

6.35 x 10.5 = 58.5

therefore 6.35 x 10-5 is greater