An equation for this problem- The cable company charges a monthly fee of $45. Each movie rental is $1.99. You owe $68.88/ How many movies did you rent?

Answers

Answer 1

Answer:

12 movies

Step-by-step explanation:

If you have to pay 1.99 per movie and that is our unknown, we can express that as 1.99x, where x is the number of movies (our independent variable).  If you rent 0 movies, you still have to pay the company $45.  So the equation for the number of movies you rent:

y = 1.99x  + 45 where y is the total cost of your cable for that month.  We know the cost for a certain month was 68.88 so our equation becomes

68.88 = 1.99x = 45 and

23.88 = 1.99x so

x = 12 movies

Answer 2
Final answer:

To calculate the number of movies you rented, first subtract the monthly fee of $45 from the total amount owed of $68.88, which leaves $23.88 for movie rentals. Since each movie costs $1.99, divide $23.88 by $1.99 to get approximately 12 movies rented.

Explanation:

The subject of this question is a simple algebraic problem involving a basic equation. To find out how many movies were rented, we first need to understand what charges make up the total charge of $68.88. Given that the cable company charges a monthly fee of $45 and each movie rental costs $1.99, we know that the total charge of $68.88 includes both the monthly fee and the cost of movie rentals.

To find out how many movies were rented, we subtract the monthly fee from the total owed: $68.88 - $45 = $23.88. This is the total cost for movie rentals. Since each movie costs $1.99, we divide the total cost of rentals by the cost per movie: $23.88 / $1.99. The answer is about 12, "so you rented approximately 12 movies".

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Related Questions

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
y = √x
(a) Find dy/dt, given x = 16 and dx/dt = 7.
dy/dt =

(b) Find dx/dt, given x = 64 and dy/dt = 8.
dx/dt =
...?

Answers

This problem requires the use of the chain rule: dy / dt = [dy / dx] * [dx / dt]

y = √x => dy / dx = 1 / (2√x)

(a) Find dy/dt, given x = 16 and dx/dt = 7.

dy/dt = [ 1/(2√x) ]  * 7 = [1/(2*4)] * 7 = 7/8

(b) Find dx/dt, given x = 64 and dy/dt = 8.

dx/dt = [dy/dt] /  [dy/dx] = 8 / [1/(2√64) ] = 128

(a) The value of [tex]\frac{dy}{dt}[/tex] is [tex]\boxed{\dfrac{dy}{dt}=\dfrac{7}{8}}[/tex].

(b) The value of [tex]\frac{dx}{dt}[/tex] is [tex]\boxed{\dfrac{dx}{dt}=128}[/tex].

Further explanation:

Given that [tex]x[/tex] and [tex]y[/tex] are both differentiable functions of [tex]t[/tex].

The function is as follows:

[tex]\fbox{\begin\\\ \math y=\sqrt{x}\\\end{minispace}}[/tex]

Derivatives of parametric functions:

The relationship between variable [tex]x[/tex] and variable [tex]y[/tex] in the form [tex]y=f(t)[/tex] and [tex]x=g(t)[/tex] is called as parametric form with [tex]t[/tex] as a parameter.

The derivative of the parametric form is given as  follows:

[tex]\fbox{\begin\\\ \dfrac{dy}{dt}=\dfrac{dy}{dx}\times\dfrac{dx}{dt}\\\end{minispace}}[/tex]  

The above equation is neither explicit nor implicit, therefore a third variable is used.

Part (a):

It is given that [tex]x=16[/tex] and [tex]\frac{dx}{dt}=7[/tex].

To find the value of [tex]\frac{dy}{dt}[/tex] first find the value of [tex]\frac{dy}{dx}[/tex] that is shown below:

[tex]\begin{aligned}y&=\sqrt{x}\\\dfrac{dy}{dx}&=\dfrac{1}{2\sqrt{x}}\end{aligned}[/tex]  

The value of [tex]\frac{dy}{dt}[/tex] is calculated as  follows:

[tex]\begin{aligned}\dfrac{dy}{dt}&=\dfrac{dy}{dx}\times\dfrac{dx}{dt}\\&=\dfrac{1}{2\sqrt{x}}\dfrac{dx}{dt}\end{aligned}[/tex]

Now, substitute the value of [tex]x[/tex] and [tex]\frac{dx}{dt}[/tex] in above equation as shown below:

[tex]\begin{aligned}\dfrac{dy}{dt}&=\dfrac{1}{2\sqrt{16}}\times7\\&=\dfrac{1}{2\times4}\times7\\&=\dfrac{7}{8}\end{aligned}[/tex]  

Therefore, the required value of [tex]\frac{dy}{dt}[/tex] is [tex]\frac{7}{8}[/tex].

Part (b):

It is given that [tex]x=64[/tex] and [tex]\frac{dy}{dt}=8[/tex].

To find the value of [tex]\frac{dx}{dt}[/tex] first find the value of [tex]\frac{dx}{dt}[/tex] that is shown below:

[tex]\begin{aligned}y&=\sqrt{x}\\\dfrac{dy}{dx}&=\dfrac{1}{2\sqrt{x}}\\\dfrac{dx}{dy}&=2\sqrt{x}\end{aligned}[/tex]

The value of [tex]\frac{dx}{dt}[/tex] is calculated as  follows:

[tex]\boxed{\dfrac{dx}{dt}=\dfrac{dx}{dy}\times\dfrac{dy}{dt}}[/tex]

Now, substitute the value of [tex]\frac{dx}{dy}[/tex] and [tex]\frac{dy}{dt}[/tex] in above equation as shown below:

[tex]\begin{aligned}\dfrac{dx}{dt}&=2\sqrt{64}\times 8\\&=2\times8\times8\\&=2\times64\\&=128\end{aligned}[/tex]

Therefore, the required value of [tex]\frac{dx}{dt}[/tex] is [tex]128[/tex].

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Answer details:

Grade: Senior school

Subject: Mathematics

Chapter: Derivatives

Keywords:  dy/dt, dx/dt, y=rootx, derivatives, parametric form, implicit, explicit, function, differentiable, x, y, t,  x=16, x=64, dy/dx, dx/dy, differentiation.

How many fifths are the in 60/100

Answers

In order to calculate that, we need to divide it by 1/5 as follows:
60/100 / 1/5

We can re-write it as: 60/100 * 5 = 6/10 * 5 = 30/10 = 3

So, there are "3" 1/5ths in 60/100

Hope this helps!

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.

If no money was deposited into or withdrawn from the account, how much money was in the account after ​3​ years?

Round your answer to the nearest cent.

Enter your answer in the box.

Answers

I = p r t
I = 315(.015)(3) = 14.18
Add interest to the principle.
$315. + 14.18 = $329.18

Answer:

Step-by-step explanation:

7

The sum of 8 and diane's savings is 56

Answers

56 minus 8 is 48 

48 is Diane's savings. 

Sasha has some pennies, nickels, and dimes in her pocket. The number of coins is 16. The expression 0.01p+0.05n+0.10d represents the value of the coins, which is $1.22. She has twice as many nickles as pennies. How many of each coin does Sasha have?

Answers

I would like to use cents

p+n+d=16
1p+5n+10d=122
twice as many nicklese a pennies, n=2p

sub 2p for n
p+2p+d=16
1p+5(2p)+10d=122
simplified
3p+d=16
1p+10p+10d=122

3p+d=16
11p+10d=122
now solve
use subsitution

3p+d=16
minus 3p from both sides
d=16-3p
sub 16-3p for d in other equation

11p+10(16-3p)=122
11p+160-30p=122
160-19p=122
minus 160 both sides
-19p=-38
divide both sides by -19
p=2

sub back
n=2p
n=2(2)
n=4

d=16-3p
d=16-3(2)
d=16-6
d=10


2 pennies
4 nickles
10 dimes


U.s. air has a net income before tax 60,000. it is expected 45% of net income will go to federal and state taxes. how much will u.s. air have left

Answers

60,000 times .45= 27000
60,000-27,000= 33,000
US air will have $30,000 left after federal and state taxes


A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?
a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x

Answers

Answer:- A reflection of the line segment across the line y = –x .


Explanation:-

A reflection over the line y = -x, the x-coordinate and y-coordinate interchange their places and they are negated (the signs are changed).

Given :- A line segment has endpoints at (–1, 4) and (4, 1) such that it reflects produce an image with endpoints at (–4, 1) and (–1, –4).

(-1, 4)→(-4, 1) and

(4, 1)→(-1, -4)

Thus this shows a reflection of the line segment across the line y = –x.

Answer:

A reflection of the line segment across the line y = –x.

Step-by-step explanation:

Given : A line segment has endpoints at (–1, 4) and (4, 1).

To find : Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4).

Solution : We have given that endpoints at (–1, 4) and (4, 1).

After reflection endpoints become  (–4, 1) and (–1, –4).

Reflection:   (–1, 4)  →→ (–4, 1)

                    (4, 1)→→→ (–1, –4).

We can see x coordinate become -y coordinate and y coordinate become -x coordinate.

(x ,y) →→ (–y, -x)

This is the a reflection of the line segment across the line y = –x rule of reflection .

Therefore, a reflection of the line segment across the line y = –x.

Two angles in a triangle are 30° and 35°. What type of angle is the other?

Answers

The third angle is obtuse.
Since the shape has 3 sides, then the total measure of degrees is (n-2)180 = (3-2)180 = 180°.
So our equation would be
180° = 35° + 30° + x°
x = 115°
115 is greater than 90, so the angle is obtuse.
30°+ 35°+ x = 180°
65°+ x = 180°
x = 115°

The third angle is 115°. Because it is greater than 90° it is an obtuse angle.

The graph of a proportional relationship contains the point (20, 4).

What is the corresponding equation?

Enter your answer as a fraction in simplest form

Please help

Answers

The corresponding equation is y = 1/5(x).

A graph of the equation is shown below.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

y represents the y-variable​.

x represents the x-variable.

k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using the various data points in table B as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 4/20

Constant of proportionality, k = 1/5.

In this context, the corresponding equation is given by;

y = 1/5(x)

Evaluate 5x3 + 2 for x = -1.

-7
-3
4
6

Answers

I hope this helps you

Answer:

The correct option is B) -3

Step-by-step explanation:

Consider the provided expression.

[tex]5x^3 + 2[/tex]

We need to solve the expression when x=-1.

Substitute the values of x in the provided expression.

[tex]5(-1)^3 + 2[/tex]

Simplify the expression.

[tex]5\times -1+ 2[/tex]

[tex]-5+ 2[/tex]

[tex]-3[/tex]

Hence, the value of the provided expression when x=-1 is -3.

Therefore, the correct option is B) -3

What is the slopes for (8,2) and (11,3) (8,0) and (8, 6)

Answers

the equation is y2 minus y1 over x2 minus x2 and then the answer you will get will look like a fraction when it is actually rise over the run so the 2 points i chose was (8,2) and (8,0) so 0 minus 2 equals negative 2 and 8 minus 8 equals 0 so -2 over 0 the slope would be -2/0 so you would go down 2 over 0 the line would be streight up and down! if i'm wrong someone tell me!!

A _____ is a point that helps to define an ellipse.

...?

Answers

I would say focus. I hope this helps.
Foci.
An ellipse is defined by two focal points.

Did I do this correctly and if any errors just tell me in the comments

Answers

Looks good to me! ;)
Looks correct. I am not a math wiz but I can answer that.

Brianna went to Los Angeles for a vacation. She spent 5 nights at a hotel and rented a car for 6 days. Justin stayed at the same hotel, but spent 7 nights and rented a car for 8 days from the same company. If Brianna paid $1170 and Justin paid $1610, how much did one night at the hotel cost?

Answers

$150 per night

Use a system of equations using x (cost of hotel) and y (cost of car): 

5x + 6y = 1170 

7x + 8y = 1610 

Solve for y in one of the equations and then use substitution to solve for x in the other: 

6y = 1170 - 5x 

y = (-5/6)x + 195 

7x + 8((-5/6)x + 195) = 1610 

7x + (-20/3)x + 1560 = 1610 

(1/3)x +1560 = 1610 

(1/3)x = 50 


x = $150 a night

Round 89,891 to the nearest ten-thousands place.

Answers

The ten thousands digit is the 8 to the left edge.

You need to increase this digit because the thousands digit is greater than zero.


The answer is 90,000.

Evaluate the integral (e^x)/((e^2x)+3) from 0 to infinity

Answers

So, from our equation
u = e^x
du/dx = e^x du = e^xdxthe integral would be: 

du/(u^2 + 3)

Using the boundaries 1 to infinity
As, e^0 = 1.the solution for this integral will be

(1/(3^0.5)) * arctan(u/(3^0.5))Plugging the boundaries

(1/(3^0.5)) * (90 - 30) = 60/(3^0.5)
=0.6046

Can you use PEMDAS without parenthesis, exponents, division, or subtraction? Example: 5+1x10=?

Answers

if there are that many things missing then go left to right; 5+1 then multiply the sum by ten

5+1=6
6x10=60

I hope I was helpful


yes just use wat you learned with PEMDAS 
Since you dont have parenthesis or exponents or the division 
just do 1x10 first and you get 10 then you do 5+10 = 15 
so for the example you set it would be 15

A spruce tree is approximately the shape of a cone with a slant height of 20 ft. The angle formed by the tree with the ground measures 72 degrees. Estimate the height of the tree. Round to the nearest foot.
(picture below)

Answers

The answer is 16 feet.

It’s C on Ed It is C It is C

Ahmed is taking orders for lunch. A slice of pizza cost $2.9 and a chicken sandwich costs $3.9. He collects $25.3 for the group of 7 people.
Let x=number of pizza orders.Let y=number of chicken orders

Answers

X+Y=7
2.9X+3.9Y=25.3
Get X by itself: X=7-Y
Substitute for X: 2.9(7-Y)+3.9Y=25.3
Time it out: 19.5-2.9Y+3.9Y=25.3
Add the Ys: 19.5+Y=25.3
Subtract from both sides: Y=5
So, X is equal to two orders, and Y is five.

it took Jill two hours to drive 100 miles. what was her average speed?

Answers

average speed is 50 mph
A possible solution could be 50MPH. Meaning, "Miles Per Hour".  If Jill was driving for two hours, and traveled a total of 100 miles within those two hours, then she would have had to been going 50 miles per hour.  So her average speed would be 50 miles per hour.  

A bunch of 6 bananas costs $3.54. What is the unit rate?

Answers

Divide 6 by 3.54
The quotient would be 1.69
Your answer is that the unit rate is $1.69 per banana

Annette rode her bike 6.8 miles at a constant rate for 90 minutes. To find how fast she traveled, she solved the equation 6.8= x⋅90. What does x represent?
a)The total distance after x minutes
b)Her speed in miles per minute
c)The amount of time it takes to travel 6.8 miles
d)The number of miles she has traveled so far

Answers

X represents her speed in miles per minute (b). To find her speed she would divide distance by time. If you divide 6.8 miles by 90 minutes and solve for x you will be finding her speed

Answer:

x represents Annette speed in miles per minute. Hence, option b) is correct.

Step-by-step explanation:

Given that Annette rode her bike 6.8 miles at a constant rate for 90 minutes. Also to find how fast she traveled, she solved the equation [tex]6.8=x\times 90[/tex]. Now, we have to tell here what x represents.

As, [tex]Speed=\frac{Distance}{Time}[/tex]

Let speed of bike is x miles/min and given distance is 6.8 miles and at a constant rate for 90 minutes.

∴ [tex]x=\frac{6.8}{90}[/tex]

⇒  [tex]6.8=x\times 90[/tex]

which is the same equation as given.

Here x represents Annette speed in miles per minute. Hence, option b) is correct.

what is a mathematical statement that two expressions are equal

Answers

It is called an equation.

Find the interest rate needed for an investment of $9,000 to quadruple in 15 years if interest is compounded quarterly. (round your answer to the nearest hundredth of a percentage point.)

Answers

4p=p(1+i/4)^60,,4^1/60=1+i/4...now your turn..solve for i

in a chess match, a win counts 1 point, a draw counts 1/2 point, and a loss counts 0 points. After 15 games, the winner was 4 points ahead of the loser. How many points did the loser have? ...?

Answers

5.5 points, the winner had 9.5

9.5 - 5.5 = 4
5.5 + 9.5 = 15
Final answer:

The loser had 5.5 points in the chess match.

Explanation:

To find out how many points the loser had in the chess match, we can set up an equation. Let's say the loser had x points. The winner was 4 points ahead, so the winner had x + 4 points. Since there were 15 games in total, we can set up the equation:



x + (x + 4) = 15

Combining like terms, we get:



2x + 4 = 15



Subtracting 4 from both sides, we get:



2x = 11



Dividing both sides by 2, we get:



x = 5.5



Therefore, the loser had 5.5 points in the chess match.

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is square root 35 irrational or rational

Answers

The sq root of 35 is irrational.
Final answer:

The square root of 35 is an irrational number because it cannot be expressed as a precise fraction or whole number.

Explanation:

The square root of 35 is an irrational number. Let me explain why. A number is rational if it can be expressed as a fraction of two integers, in other words, if it can be written in the form a/b where a and b are integers and b ≠ 0. The square root of a perfect square (like 9, 16, 25 and so on) is a rational number because it can be expressed as a whole number. But if a number is not a perfect square (like 35), its square root is generally an irrational number. The square root of 35 cannot be expressed as a whole number or as a precise fraction, hence it is an irrational number.

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when translating English sentences into math equations, the word is usually translates to which math symbol?

Answers

" is " means equals <====
Ok how you Translating English into math equation here's an Example down below⬇

Lets say you had a sentence like five more than a number is ten

so we would write that as

n+5=10 (N-stands for numbers, The + Stands for More, 5 stand for five, The equal sign stands for Is and then we finally add 10 at the end

Hope this helps you Mia
 

which of the following is equivalent to 14x2+35x when it is completely factored?

A. 7x(2x+5)
B. 7(2x2+5x)
C. 14x(x+3)
D. x(14x+35)

Answers

A. 7x(2x+5) that is the answer

The equivalent factored form is A. 7x(2x + 5).

How to determine the equivalent to 14x2+35x when it is completely factored

To factorize the expression 14x^2 + 35x completely, we look for the greatest common factor (GCF) of the terms and apply the distributive property.

In this case, the GCF of 14x^2 and 35x is 7x.

So, we can factor out 7x from the expression:

14x^2 + 35x = 7x(2x + 5)

Therefore, the equivalent factored form is A. 7x(2x + 5).

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The marginal cost function of producing q mountain bikes is 600/0.3q+5.
If the fixed cost in producing the bicycles is 2200 , find the total cost to produce 30 bicycles.
If the bikes are sold for 205 each, what is the profit (or loss) on the first 30 bicycles?
Find the marginal profit on the 31st bicycle. ...?

Answers

Final answer:

The total cost to produce 30 bicycles is $5599.89. The profit from first 30 bikes is $550.11. The marginal profit on the 31st bike is $126.57.

Explanation:

The marginal cost function given is 600/(0.3q+5). To find the total cost to produce 30 bicycles, we need to integrate the marginal cost from 0 to 30 and add the fixed cost of 2200.

The result of the integration is 2000*(ln|1+0.3q|). Calculating from 0 to 30 gives us 3599.89. Thus, the total cost to produce 30 bicycles considering the fixed cost is 5599.89.

The revenue of each bike sold is $205. So, the total revenue generated from selling 30 bikes is 30*$205 = $6150. The profit is then the difference between the revenue and the total cost, giving us $6150-$5599.89 = $550.11.

To find the marginal profit on the 31st bike, subtract the marginal cost at 31 bikes from the selling price. The marginal cost at 31 bikes is the marginal cost function evaluated at q=31, which is approximately $78.43, and hence, the marginal profit on the 31st bike is $205 - $78.43 = $126.57.

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Final answer:

To find the total cost, multiply the quantity by the marginal cost function and add the fixed cost. To find the profit or loss, subtract the total cost from the revenue. The marginal profit can be found by subtracting the marginal cost from the selling price.

Explanation:

To find the total cost to produce 30 bicycles, you need to calculate the variable cost and add it to the fixed cost. The variable cost can be found by multiplying the marginal cost function by the quantity of bikes. So, the variable cost is (600/0.3*30 + 5) = 6105. Adding the fixed cost of 2200 gives us a total cost of 8305.

To find the profit or loss on the first 30 bicycles, we need to subtract the total cost from the revenue, which is the selling price multiplied by the quantity. So, the revenue is 205 * 30 = 6150. The profit or loss is then 6150 - 8305 = -2155, indicating a loss of $2155.

The marginal profit on the 31st bicycle can be found by subtracting the marginal cost from the selling price. So, the marginal profit is 205 - (600/0.3*31 + 5) = -55, indicating a loss on the 31st bicycle.

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Name the property of real numbers illustrated by the equation.

-3(x+4)=-3x-12

Answers

Distributive Property

Answer:

distributive property (a)

Step-by-step explanation:

I got 100/100 so this should be correct for you too.

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