Andy watches 10 television shows every week. He watches dramas, comedies, and reality shows. Dramas are 1 hour long, comedies are 30
minutes, and reality shows are 2 hours long. He spends 8 hours watching his shows and watches twice as many comedies as dramas. Which
system of equations could be used to determine how many of each type of show he watches each week?
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d+C+r= 8 d + .5€ + 20 = 10 c = 2d
d+C+ r = 10 d + 5c + 2r = 8 d = 20
d+ C + r=10 d + 5c +2r = 8 C= 2d
d+C+ r = 8 d + C + 2r = 10 d = 20
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d
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Answers

Answer 1

Answer:

[tex]d+0.5c+2r=8\\\\ c=2d[/tex]

Step-by-step explanation:

Let d= dramas

c= comedies

r= reality shows

Dramas are 1 hour long, comedies are 30  minutes, and reality shows are 2 hours long.

Total time spent on watching = [tex]1 \times(d) + 0.5 \times (c) +2 \times(r)= d+0.5c+2r[/tex]

 [  [tex]30\ minutes=\dfrac{30}{60} \ hours = 0.5 hour \ \ (1 hour = 60\ minutes)[/tex]  ]

Since he spent 8 hours for this, that means

[tex]d+0.5c+2r=8[/tex]     → First equation

He watches twice as many comedies as dramas.

i.e. [tex]c=2d[/tex] → second equation

So, the system of equations could be used to determine how many of each type of show he watches each week:

[tex]d+0.5c+2r=8\\\\ c=2d[/tex]


Related Questions

A school bus uses 34 of a tank of gas to drive back and forth to school in a week with 5 school days. How much gas does the bus use to drive back and forth to school in a week with 4 school days? Write your answer in simplest form. The bus uses of a tank.

Answers

Answer:

27.2 of a tank

Step-by-step explanation:

[tex]\frac{34}{5}[/tex] = [tex]\frac{x}{4}[/tex]

136 = 5x

x = 27.2

The total distance in centimeters that a toy robot moves varies directly with the time in seconds the toy robot moves a total distance of 63 cm. In 9 seconds what is the time in seconds that the toy robot moves when the total distance is 49 cm

Answers

Answer:

Hey there!

The robot moves 63 cm in 9 seconds. Then in 1 second, it moves 7 cm.

If it goes 49 cm, it will take 7 seconds.

Let me know if this helps :)

Of the 100 children in the sixth grade
class, 76 can go on the end-of-the-year
field trip. What percentage of the
children can go on the trip?​

Answers

Answer:  76%

Any number out of 100 can be quickly converted to percent form by just tacking on the percent sign. This is because "percent" is "per one hundred". Think of 100 cents in a dollar which may help you remember.

So 76/100 = 76%

The correct answer would be 76 percent

M is the midpoint of AB, AM=2x+3, and AB= 8x-10. Find MB

Answers

I’m not sure if this is correct but I think the answer is 7.4 correct me if I’m wrong.

Explanation:

In order to find this answer I simply tried getting x by it self

8x-10 = 2x+3

then subtracted 2 from both sides (F.Y.I choose to start from the the left since 2 is lower then 8) the 2x= -2x cancel then if subtracted 8x from -2x you should get 6x
From there it should be
6x-10=3

Add 10 from both sides

Then your left with 6x=13

Now for this answer I obviously got a decimal and I’m not sure how I would go about rounding so I just rounded it to the nearest tenth.

After rounding 2.166666666666667

I was left with 2.2

From there I plugged it into the the AM formula

in the question M is the midpoint of AB so AM is congruent to MB AM=MB

AM=2x+3 MB=?

if you plug 2.2 in replace of x

2(2.2)+3 it should equal 7.4.

I hope I’m right, truly sorry if I’m not! I’m a freshie on the job! Good luck wishes!

After taxes, Alexandra's take home pay is 3 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $162 of take-home pay. Let s represent your variable. The equation is . Alexandra's salary before taxes for the pay period was $

Answers

Answer:

The equation is 3/10 × s = 162

Alexandra's salary before taxes for the pay period was $540

Step-by-step explanation:

Let

Alexander's salary before taxes

=s

3/10 if Alexander's take home pay is $162 after taxes

3/10 of s = $162

The equation is

3/10 × s = 162

Divide both sides by 3/10

s = 162 ÷ 3/10

= 162 × 10/3

= 1620 / 3

= $540

Alexandra's salary before taxes for the pay period was $540

Evaluate the expression (-3)(4)(-6)

Answers

- 3 x 4 x - 6 = 72. That is your answer

PLEASE HELP DUE IN 30 MINUTES!!!
The last two answers for the last question are c. h(g(x))= 1/ (x^2 +4) and d. h(g(x))=1/x^2 +4​

Answers

Answer:

I'm pretty sure the answer to the third question is C

Step-by-step explanation:

We are solving for h(g(x)).

We already know that g(x) is equal to x^2+4.

So know, we can simplify our expression, h(g(x)), to h(x^2+4).

We also know that h(x)=1/x

we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)

Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​ numbers, or real numbers. 0

Answers

Answer:

Step-by-step explanation:

Natural numbers are otherwise called counting numbers. Numbers you can count, and excludes Zero.

Whole number is a little extension of natural numbers in that, they contain Zero. So, they're counting numbers including Zero and excluding negative numbers.

Integers are whole numbers in general. They also include negative numbers.

Rational number is a number that can be written as ratio. It can be written as a fraction in which both the denominator and the numerator are whole numbers.

Irrational numbers are very opposite to rational numbers, and can not be written as fractions.

Real numbers are the culmination of both rational and irrational numbers

find the equation of the line parallel to H passes through (-4,2)

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope m of H using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = [tex]\frac{-2+3}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 2 + [tex]\frac{4}{3}[/tex] = [tex]\frac{10}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex] ← equation of parallel line

Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal values, what is $x$

Answers

Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

[tex]3x * (x+5) = 3x + 3x + x + 5 + x + 5[/tex]

Now we solve the equation:

[tex]3x^2 +15x = 6x + 2x + 10[/tex]

[tex]3x^2+15x =8x + 10[/tex]

[tex]3x^2+15x-8x-10=0[/tex]

[tex]3x^2+7x-10=0\\\\x_1=\frac{-10}{3}\\x_2 = 1[/tex]

As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

Answer:

[tex]\huge\boxed{x = 1 \ \ \ \ OR \ \ \ \ x = -\frac{10}{3} }[/tex]

Step-by-step explanation:

Length = 3x

Width = x + 5

Area of Rectangle:

=> (Length)(Width)

=> (3x)(x+5)

=> [tex]3x^2 + 15x[/tex]

Perimeter of Rectangle:

=> 2 (Length) + 2 (Width)

=> 2(3x) + 2(x+5)

=> 6x + 2x + 10

=> 8x + 10

Given Condition is:

Perimeter = Area

[tex]3x^2 + 15x[/tex] = 8x + 10

[tex]3x^2 + 15 x -8x - 10 = 0\\3x^2 + 7x -10 = 0\\3x^2 + 10 x - 3x -10 = 0\\x(3x+10) - 1(3x+10) = 0\\(x-1) (3x+10) = 0[/tex]

Either,

x - 1 = 0       OR     3x + 10 = 0

x = 1             OR       3x = -10

x = 1             OR        x = -10 / 3

What is the range of the relation shown in the graph?

Answers

Answer:

-2

Step-by-step explanation:

Which is the endpoint of a ray? A. Point R B. Point S C. Point T D.Point U

Answers

Answer:

point s

Step-by-step explanation:

they all connect there

Answer:

the answer is B. Point S

Step-by-step explanation:

hope this helped, please mark brainliest :,)

I’m being timed!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y=mx+b

Step-by-step explanation:

y=mx+b

If you know the slope m , and y -intercept (0,b) of a line (the point where the line crosses the y -axis), you can write the equation of the line in slope-intercept form .

Answer:

y=mx+b

Step-by-step explanation:

m and b can be any two real numbers.

y=mx+b

No real work, one of those linear equations that should be memorized.

if EF bisects CD, CG =5x-1, GD = 7x-13, EF = 6x-4, and GF =13, find EG

Answers

Greetings from Brasil....

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

EG = 19

(see attachment)

A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment EG is 19 unit.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that EF bisects CD at point G, therefore, the line segment CD will be divided into two equal parts, CG and GD. Therefore, we can write,

CG = GD

5x - 1 = 7x - 13

-1 + 13 = 7x - 5x

12 = 2x

x = 12/2

x = 6

Further, the length of segment EG will be,

EG = EF - GF

     = 6x - 4 - (13)

     = 6x - 4 - 13

     = 6x - 17

     = 6(6) - 17

     = 36 - 17

     = 19

Hence, the length of the line segment EG is 19 unit.

Learn more about Line here:

https://brainly.com/question/21511618

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Select all the expressions that are equivalent to
5x + 8y + 2.
(Select all that apply.)
3x + y + 2x + 2 + 7y
8x + 4y – 3x + 4 – 3y
2 +12y + x – 4y + 5x
5y + 7 + x – 5 + 4x + 3y

Answers

Answer:

The expression equivalent are..

3x+y+2x+2+7y

Step-by-step explanation:

here we want to add the variables of the same in this case

3x    1y    

2x     7y   2

__________

5x      8y      2

 

All the expressions that are equivalent to 5x + 8y + 2 are;

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

Four equivalent expressions,

A). 3x + y + 2x + 2 + 7y

B). 8x + 4y – 3x + 4 – 3y

C). 2 +12y + x – 4y + 5x

D). 5y + 7 + x – 5 + 4x + 3y

Simplifying,

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Therefore, A, C, and D are the equivalent expressions.

To learn more about the equivalent expression;

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What is the degree for this

Answers

Answer:

4

Step-by-step explanation:

Yin practiced 604 minutes of piano. She plans to reach 700. How much minutes does she need to reach her goal?

Answers

Answer:

She needs

96 minutes

to reach her goal

Step-by-step explanation:

700 - 604 = 96

Answer:

96 minutes

Here is the way to do it-

Yin's goal = 700

Yin's progress- 604

700 - 604 = 96.

The answer is 96. Hope this helps!

Help please what is the inverse of the function

Answers

I hope this helps you


–2 times the quantity q minus 3

Answers

Answer:

This question was worded weirdly however I am assuming this is algebra and you need the equation. So here- -2(q-3) or -2q+6

Step-by-step explanation:

Distribute the -2, to all the terms in the parenthesis of -2(q-3) you get 2q+6

If you didnt know how to get -2(q-3), -2(multiplied) by q-3, you use parenthesis to make sure you know it is multiplication in front of the parenthesis.

Hope I could help!

If AC = 18 and CD = 5, AD =

Answers

To get the measurement of AD, you have to add AC and CD together roger your answer of AD=23

5-(x/3)when x=12

What’s the answer

Answers

Answer:

When x is 12, [tex]5-(\frac{x}{3})=1[/tex]

Step-by-step explanation:

[tex]5-(\frac{x}{3} )[/tex]

Insert the given value of x:

[tex]5-(\frac{12}{3} )[/tex]

Simplify the expression. Divide 12 by 3:

[tex]5-4[/tex]

Simplify subtraction:

[tex]1[/tex]

:Done

Answer:1

Step-by-step explanation:


Celina and Zoe both sing in a band.
One evening the band plays for 80 minutes.
Celina sings for 65% of the 80 minutes.
8
Zoe sings for of 5/8 of the 80 minutes.
Celina sings for more minutes than Zoe sings.
Work out for how many more minutes.

Answers

Step-by-step explanation:

65% of 80= 80×0.65 = 52mins

5/8 of 80= 5/8×80 = 50 mins

more mins = 52-50= 2 more min

-6x(-3x - 10) Distributive property! I’m so bad at it

Answers

the answer is 18x^2+60x

While on summer vacation, Mr. Duda traveled about 230 miles to a city near Dallas in 3 hours. How many miles
did Mr. Duda travel per hour?

Answers

Answer:

76 2/3 (Rounded = 77)

Step-by-step explanation:

Step 1: Divide 230 by 3.

Step 2: Get your answer.

Answer - 76.66666666...

Hope this helps!

what is 9 plus 10 anyone lol

Answers

Answer: its 19 . lol

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

10 + 9 =19

How to find 9^4 without multiplying four 9s

Answers

You can use the calculator it’s easier and plus you don’t have to put four 9’s

Which side of the polygon is exactly 6 units long?​

Answers

the answer is ab cuz it’s measured in two units if that makes sense

AB is the answer. :)

6c-8-2c=-16+c what’s the value of c

Answers

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

3c - 8 = -16

Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

3c = - 8

Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

Anyone down to help? 12pts for PRE-ALGEBRA question Use the information in the table for 2–4.

Answers

Answer:

See attached image

Step-by-step explanation:

If the number of blueberries is the x value, and number of calories is the y value, then we can create the ordered pairs (5,4) (10,8) (15,12) based on the data in the table.

Plotting these on the graph is simple - just go to the x value then the y value and plot where these lines meet.

The slope of a line is always the rise over run.

Every time our x increases by 5, our y increases by 4. The rise is 4, and run is 5, so the slope is [tex]\frac{4}{5}[/tex]

Hope this helped!

i really need help please answer this

Answers

Answer:

Option 1

Step-by-step explanation:

Solve each piece individually first.

4 ^(1/2) = 2

The 4th root of 16 is 2 so 2/2 = 1

So we have:

2 * 1 - 10 ÷ 2

Order of operations.

2 * 1 = 2        10 ÷ 2 = 5

2 - 5 = -3

The answer is the first option.

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