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?

Answers

Answer 1

Answer:

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

Step-by-step explanation:

Let

x = length of sitcoms

y = length of dramas

6x + 6y = 372 (1)

2x + 6y = 288 (2)

Subtract (2) from (1) to eliminate y

6x - 2x = 372 - 288

4x = 84

x = 84/4

x = 21

Substitute x = 21 into (1)

6x + 6y = 372

6(21) + 6y = 372

126 + 6y = 372

6y = 372 - 126

6y = 246

y = 246/6

y = 41

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes


Related Questions

Consider the function shown on the graph.
Which function does the graph represent?
(8, 15)
15
of(x) = (x + 3)(x + 7)
Of(x) = (x - 3)(x - 7)
of(x) = 3(x - 3)(x - 7)
Of(x) = 11(x + 3)(x + 7)
12
9
6
3
(30)
A7, b)
-13
1
2
34
5
6
2 8 9
X
L6
L9
-12
-15

Answers

Answer:

12

Step-by-step explanation:

Corinna wants to make ⅔ of the recipe. Does she need more or less than 1 ¾ cups of sugar? Explain how you know. How many cups of sugar does she need?

Answers

I think it’s 4 3/8

Yolanda ha comprado un coche por 8.200 euros. Lo ha pagado en tres partes. Primero pagó un 60% del valor del coche, después el 25% y por ultimo el resto ¿ cuánto pagó Yolanda la última vez?

Answers

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.

Find the TOTAL Surface Area of the square prism below.
12 cm
6 cm
6 cm
6 cm
6 cm

360 cm2
216 cm2
72 cm2
288 cm2

Answers

Answer:

I believe that the answer is C: 72 cm²

Match the word to its description.

Answers

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...

Olivia purchased a music system worth $18,000 in the year 2018. It loses its value
by 6% per year. What is the value of the music system in 2020?
a) $16920
b) $20224.80
c) $15904.48
d) $14950.51

Answers

Answer:

answer is c 15904.48

Step-by-step explanation:

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

If it takes 3/4 cups of sugar to make 1 batch of cookies, then how many cups of sugar does Fred need to make 4 or 1/2 batches?

Answers

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

X/19 < -7
Inqualities

Answers

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

!!please help me questions is at the bottom!!!

Answers

The cylinder is 11 cubic meters greater than the volume of the cone.

Use the Pythagorean Theorem, a2+b2=c2 to find the length of a triangle when a = 9 feet and b = 40 feet.
c= 7 feet
c= 40 feet
c= 41 feet
c= 49 feet

Answers

the answer to the question is c = 41 ft

Answer:

C

Step-by-step explanation:

What is the additive 3x -6

Answers

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

can sumone please help me im sooo tired and i have like 2 more test to complete today please thank you!!

Answers

Answer:

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

PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
Over what interval(s) is the function strictly linear?

​​ ​0
−2
0
−2

Answers

Answer:

It’s -2 and 0 AND also 2 and 4

Step-by-step explanation:

Good luck!

A container holds 2
3
gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?

You would
to solve this problem.
Each runner will get
gallon of apple juice.

Answers

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

For the following right triangle, find the side length x.
х
8
15

Answers

Answer:

17

Step-by-step explanation:

h²=p²+b²

hypotenuse is x.

So, 8²+15²=289 which is 17²

so, h=17

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.

Answers

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

Choose one polynomial from each column below that will result in the given product. Select one option from each drop down. 24x^3y^2+16xy^3+12y^3 Column 1 a.) 4xy b.) 4x^2y c.) 4y^2 Column 2 d.) 6x+4y+3 e.) 6x^3+4xy+3y f.) 6x^2y+4x+3y^2

Answers

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]

please help i’ll give brainliest if you help thanks

Answers

Answer:

pretty sure its 4b!

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

Work out the size of angle PRQ.show working out

Answers

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

Find the coordinates of each point after the described reflection. Give the distance between each point and its reflection.

Answers

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

The organizers of a carnival need to buy a total of 200 small and large signs combined for the event. If the small signs cost $5 and the large signs cost $10, how many signs can they buy with $1500.00. Write the systems of equation and solve the system by graphing.

Answers

Answer:25$

Step-by-step explanation:

Please answer this! Pleaseeeeee

Answers

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 :)

please help me simplify this​

Answers

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 :)❤

2. Which is greater, 5.15 x 10-4 or 6.35 x 10-5

Answers

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

The answer is 6.35*5

(10+12x)(15x+1) please help me

Answers

180x^2+162x+10


Please mark me brainless

If a car is moving at a speed of 30 miles per hour, how many miles
would a car travel in 180 minutes?

Answers

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

Jaquin would like to install a rug in her square living room. Her living room has an area of 121 square feet. What should the side length of the rug measure?

Answers

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

I need help finding area fast​

Answers

Answer:

24

Step-by-step explanation:

The awnser is 24 because you have to multiple 6x4

Step-by-step explanation:

6x4=24

Five more than twice a number is less than one more six times the number.

Answers

5+ 2n < 1+ 6n , n= number

what are the inverse operations for addition and multiplication?

Answers

Answer:

Operations Inverse operations

Addition             Subtraction

Subtraction      Addition

Multiplication      Division

Division           Multiplication

Step-by-step explanation:

i hope this will help you

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