Maya is deciding between two different movie streaming sites to subscribe to. Plan A
costs $31 per month plus $1.50 per movie watched. Plan B costs $35 per month plus
$0.50 per movie watched. Let A represent the monthly cost of Plan A if Maya
watches x per month, and let B represent the monthly cost of Plan B if Maya watches
x movies per month. Write an equation for each situation, in terms of x, and
determine the interval of movies watched, x, for which Plan A is cheaper than Plan B.

Answers

Answer 1

Answer:

36 movies.

Step-by-step explanation:

45

+

2.50

x

=

3.75

x

Here

x

=

NUMBER OF MOVIES

45

=

Annual rate

2.50

=

price of movie with annual fee

3.75

=

price of movie with no fee

Now we solve for

x

. Move

x

to one side by subtracting

2.50

x

on each side

45

=

1.25

x

We want

x

by itself, so divide

45

by each side.

45

1.25

=

x

x

=

36

Answer 2

The interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

Let x represent the number of movies watched per month.

Plan A  costs $31 per month plus $1.50 per movie watched, hence:

A = 1.5x + 31

Plan B costs $35 per month plus  $0.50 per movie watched, hence:

B = 0.5x + 35

For plan A to be cheaper than plan B:

1.5x + 31 < 0.5x + 35

x < 4

But the number of movies watched must be greater than 0, hence:

0 < x < 4

Therefore, the interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

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Related Questions

Evaluate the expression

2 − 52 ÷ 5 + 8

Answers

Answer:

32

Step-by-step explanation:

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Answer:

decimal= -0.4

exact form=-2/5

Step-by-step explanation:

Evaluate (2 * x - 4) for x = 2

Answers

Answer:

0

Step-by-step explanation:

The expression we are given is (2 * x - 4).

We need to find the value of expression when x = 2.

Let's substitute 2 in as x.

Now our expression is (2 * 2 - 4).

First, let's multiply our 2 with our substituted 2.

1.  2 * 2 = 4

We're left with (4 - 4).

Finally, let's evaluate this expression.

2.  (4 - 4) = 0.

Our answer is 0.

So (2 * x - 4) when x = 2 is 0.

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Have a great day!

A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.

Answers

Answer:

2/5

Step-by-step explanation:

Brainliest!! Pls help

Answers

Answer:

its c

Step-by-step explanation:

that one is shaded down other one is shaded up (up = greater)( down= less)

Yeah it is letter c it is the correct answer

Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?

Answers

Answer:

8 hours

Step-by-step explanation:

72 miles per hour

576/72= 8

8 hours. 936/13 equals 72, so 576/72 is 8 hours

Blaine bought a bag of 20 apples. When she got home, she found that 20%
of the apples were bad. How many bad apples were in the bag?

Answers

Answer:

4

Step-by-step explanation:

20 percent * 20 =

(20:100)* 20 =

(20* 20):100 =

400:100 = 4

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Which graph is the solution of the following systems

HELP ON ON GRADPOINT


Answers

I think it is the second one but I’m not for sure I’m really just doing this for points

science pls answer I give brainliest

Answers

Answer:

I would say B

Step-by-step explanation:

Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time

We can describe 15x-10 as an expression
We would describe 9x+5=32 as an

Answers

We would describe 9x+5=32 as an equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, We can describe 15x-10 as an expression, We would describe 9x+5=32 as an:

A function is a collection of ordered pairs where each input (x-value) has a single relationship to each output (y-value). An equation need not always be a function. If an equation satisfies the criteria for a function, then it is a function. However, not all equations are functions.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Therefore, We would describe 9x+5=32 as an equation or a function.

Learn more about expression here:

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Find the values of x and y if

Answers

Answer:

see explanation

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, then

CA = NE , that is

4x + 3 = 11 ( subtract 3 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

----------------------------------------

AR = EW, that is

4y - 12 = 10 ( add 12 to both sides )

4y = 22 ( divide both sides by 4 )

y = 5.5

-------------------------------------------

NW = x + y = 2 + 5.5 = 7.5

CR = NW = 7.5

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?

Answers

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Step-by-step explanation:

Started at 10° and rose 1° each minute

Answers

Answer:

1, -2, 2, [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the top floor of the concert hall. Tickets for balcony seats are $83 each. Tickets for seating on the floor are 60% of the price of the balcony tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560. a 83b+138.33f>560 b 83b+49.8f>560 c 83b+49.8f\le560 d 83b+138.33f\le560

Answers

Answer:

c

Step-by-step explanation:

Given that:

Cost of balcony seat = $83

Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8

Number of tickets for floor seat = f

Number of tickets for balcony seat = b

Total amount to spend should not exceed $560;

[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560

83b + 49.8f ≤ 560

The closest from the options given is :

83b + 49.8 < 560

What inputs of this function have an output of -2?

Answers

Answer:

-7 and 5

Step-by-step explanation:

The output of a function is seen as the y-value so when you find the y-value of -2 they are on the x-values (or inputs) -7 and 5

the polygons in each pair are similiar. help find the missing side length???

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.

Answers

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

3. Roger runs 8 miles per hour. He ran for h
hours to run 6 miles.
Write the equation for this situation

Answers

Answer:

8h

Step-by-step explanation:

8 miles per hour

h hours

plug in h for how many hours

8 divided by 6 is 1.3

1.3 hours to run 6 miles

answer this i need it quick PLEASE

Answers

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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

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[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

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The correct answer is Option four .

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Is 4/8 equal to 6/12?

Answers

Answer:

yes becauseeee:

4/8 if we divide both by 4 be get 1/2

and with 6/12 if we divide both by 6 we also get a half

The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​

Answers

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Order of Operations: BPEMDASPerimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Distribute 2:                              163 = 4l + 16 + lCombine like terms:                 163 = 5l + 16Subtract 16 on both sides:        147 = 5lDivide both sides by 5:             147/5 = lRewrite:                                      l = 147/5Evaluate:                                    l = 29.4 yards

Step 4: Find w

Define:                    w = 2l + 8Substitute:              w = 2(29.4) + 8Multiply:                  w = 58.8 + 8Add:                        w = 66.8 yards


What are the excluded values of x for

Answers

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

1
The area of a rectangular dog pen is 8-square feet.
2
2
If the width is 3 feet, what is the length, in feet?

Answers

The answer would be 2.7 if rounded to the nearest tenth. The actual answer is 2.66666 and so on. I know this because since the area is 8, we have to figure out 3 times __ equals 8. So the answer would be round about 2.7

Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.

Answers

Answer:

Buy-Here Warehouse has the better deal.

Step-by-step explanation:

divide

$6.50 divided by 2 = $3.25

$3.25 costs less than $3.95 for a pound

Scientific notation The table shows the amount of money raised by each region the four regions used a total of $ (5.38×10^4) How much money did the West Raise?

Answers

9514 1404 393

Answer:

  $8.65×10^3

Step-by-step explanation:

The amount the West raised is the difference between the total and the sum of the other amounts raised. It is convenient to use a multiplier of 10^4 for each of the numbers, so the number for South can be rewritten as 0.675×10^4.

  West = 5.38×10^4 -1.46×10^4 -2.38×10^4 -0.675×10^4

  = (5.38 -1.46 -2.38 -0.675)×10^4

  = 0.865×10^4 = 8.65×10^3

West raised $8.65×10^3.

_____

Your calculator can figure this for you. You can set the final display to scientific notation format, if you need to.

Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.

Use this information to complete each statement about the linear equation.

Answers

Answer:

y= 3x

Step-by-step explanation:

This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.

Answer:

slope of the linear equation is 3

a point on the graph of a linear equation is (4,12)

linear equation can be written as y-12 = 3 (x-4)

Step-by-step explanation:

Cuz it is

5x≥7 solve the equation plz I need help

Answers

Answer:

Step-by-step explanation:

5x≥7

Divide both sides by 5

x ≥7/5

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?

Answers

Answer:

y=3x-4

Step-by-step explanation:

a slope of 3 means that the equation will definitely start like this

y=3x +/- b

to find b, substitute the coordinates given, so

5=3 x 3 +/- b

5=9 +/- b

5-9=b

-4=b

so the equation would be

y=3x-4

I don’t know another way to find the intercept so I backtracked. The slope is 3, so it rises by three and “runs” right by 1. So I went down 3 and left 1 till I got the intercept. The first point was (1,2). The second I got was (0,-1). Then I used Desmos to graph it.

Find the equationof a circle whose centre is (-3-15) and passing point (5,-1) find the equation of circle..​

Answers

Answer: [tex](x+3)^{2} +(y+15)^{2}=260[/tex]

Step-by-step explanation:

The centre is (-3,-15), so we can say the equation of circle is [tex](x+3)^{2} +(y+15)^{2}=r^{2}[/tex]. put (5,-1) at this equation.

then, we can know [tex]r^{2}=260[/tex].

∴ [tex](x+3)^{2} +(y+15)^{2}=260[/tex]

Eloise is baking cupcakes and cookies for a birthday party. He baked 2.5 times as many cookies as cupcakes for a total of 56 items. How many of each item did she bake?

A. 16 cookies and 40 cupcakes
B. 35 cookies and 21 cupcakes
C. 35 cupcakes and 21 cookies
D. 16 cupcakes and 40 cookies

Answers

Answer:

D 16 cupcakes and 40 cookies

Step-by-step explanation:

I wrote an equation to solve for this

2.5x + x = 56

x represents cupcakes

3.5x = 56

x = 16

16 represents cupcakes.

16*2.5 = 40 (cookies)

how do I solve 9x-4= -44​

Answers

9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...
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