Jessica wants to record her favorite songs to one cd. The function c=80-3.22n represents the recording time c available after n songs are recorded. Find the zero of this function. Describe what this value means in this context.

Answers

Answer 1

Given:
c = 80 - 3.22n
where
c = recording time available
n = number of songs recorded

When c = 0, then
80 - 3.22n = 0
n = 80/3.22 = 24.845

Answer:
The zero of the function is 24.845.

Because songs are countable, it means that after 24 songs are recorded, there will be no room to record additional songs.
Furthermore, there will not be enough room to finish recording the
25-th song.

Answer 2

Final answer:

The zero of the function c=80-3.22n is approximately 25, which means that Jessica's CD would be completely filled after recording approximately 25 songs.

Explanation:

To find the zero of the function c=80-3.22n, we need to set the function to zero and solve for n. 0 = 80 - 3.22n. Solving this gives n = 24.84 (roughly).

In the context of this problem, this zero of the function means that after approximately 25 songs (as we can't have a fraction of a song), Jessica's CD would be completely filled with no remaining recording time.

It's important to note that the actual number of songs Jessica can record depends on the precise length of each song, since this equation assumes each song is the same length, which is unlikely to be strictly true in reality.

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Related Questions

the monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310 respectively. what is the mean if these monthly fees?

Answers

To find the mean, you add up all the prices which would get you 1710, then divide it by how much numbers you added, so in this case, 5. 1710/5 is 342 so the mean is 342 dollars.

The mean value of the data $370, $310, $380, $340, and $310 will be $342.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310 respectively.

The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

The mean is given as,

Mean = (Sum of the observation) / (Total number of the observation)

The sum of the observation will be

Sum of the observation = $370 + $310 + $380 + $340 + $310

Sum of the observation = $1,710

The total number of the observation will be

Total number of the observation = 5

Then the mean of the data will be

Mean = $1,710 / 5

Mean = $342

Thus, the mean value of the data $370, $310, $380, $340, and $310 will be $342.

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he graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Answers

See attachment although I gather this is not your question. I did the graph(s) for the function,

Answer:

Which statement about the function is true?

⇒ The function is increasing for all real values of x where

x < –4.

Nissa reads 1 pages in 1 minute. How many pages can Nissa read in 5.2 minutes? a.1.75
b. 3.45
c. 5.2
d.9.1

Answers

The answer is c.) 5.2 pages

C 5.2 is the correct answer.

Recipe A makes 5 dinner rolls using 1 c of flour. Recipe C makes 45 rolls using 10 c of flour. Which recipe requires the most flour per roll?

Answers

Okay. Basically, what we have to do here is is the amount of flour per roll, which requires dividing cups of flour by the number of rolls. 1/5 is 0.2 or 1/5 in simplest form. Recipe A uses 1/5 cup of flour per roll. 10/45 is 0.2222 and an infinite number of 2's behind it or 0.22 when rounded to the nearest hundredth. Recipe C uses about 0.22 cups of flour per roll. 0.22 > 0.2, so recipe C uses the most flour per roll.

Final answer:

When calculating how much flour is used per roll in each recipe, recipe C (at 0.22 cups per roll) uses more flour per roll than recipe A (at 0.2 cups per roll).

Explanation:

To determine which recipe uses the most flour per roll, we first need to calculate the flour-per-roll for each recipe. For recipe A, it makes 5 dinner rolls using 1 cup of flour. So, the flour-per-roll for recipe A is

1 cup of flour ÷ 5 rolls = 0.2 cups per roll

. For recipe C, it makes 45 rolls using 10 cups of flour. So, the flour-per-roll for recipe C is

10 cups of flour ÷ 45 rolls = 0.22 cups per roll

. Comparative analysis shows that recipe C requires more flour per roll than recipe A.

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12.75 is 25% of what number

Answers

I think the answer is 51

The number that would have 12. 75 being 25 percent of it would be 51.

How to find the number ?

To find the number of which 12. 75 is 25 %, you can set up a proportion and solve for the unknown number ( let's call it " x ").

You can write the proportion as:

( 25 / 100 ) * x = 12. 75

Now, simplify the left side of the equation:

( 1 / 4 ) * x = 12.75

To solve for x, multiply both sides by 4 to isolate x:

x = 12. 75 * 4

x = 51

So, 12. 75 is 25% of the number 51.

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what is the value of y in the something to the system of equations

Answers

my best guess would be is that the value is 1 because if there is nothing it is just 1

8 - 1/3x = 16
PLEASE ANSWER ITS DUE TOMORROW

Answers

X = 8/(-1/3) therefore the answer is -24

joe is playing a game with a regular die.If the number that turns up is even he will gain 5 times the number that comes up.If its odd,he will lose 10 times the number that comes up.He tosses a 3 express results as an integer

Answers

3 x 10 = 30

3 - 30 = -27

Simplify 29-4.37+(5.68)

Answers

Your answer is 30.31
Hope this helps!

29-4.37+(5.68)= 30.31

What is the difference between congruent and similar images

Answers

In a congruent triangle, sides and/or angles have to be the same

In a similar triangle, they have to be proportional

hope this helps

Congruence and similarity may be thought the same, but they are actually very different. If an image is congruent with another, then they are exactly the same, with not a single thing that is different between them. They are identical. If two images are similar, then they aren't congruent. There may be some differences between the two, but not big enough change the way you view the image.

Alan had 2 mirrors installed in his house.The first mirror was 2 yards and 2 3rds yards wide the second mirror was 2 yards tall and 3 2 halfs wide. Is the area of the first mirror greater than or less than 2 square yards?Explain

Answers

Less because l don't be yelling at me what's wrong wit you.

a group of 4 students are selling candy bars to raise money for a field trip. the group needs to sell 53 candy bars. if each student sells an equal amount, how many candy bars do they get in all? interpret your remainder

Answers

You have to divide 53 with 4 students making them each get 13 bars each

Answer:

Each student is gonna sell 13 candy bars, and there is gonna be 1 bar unsold, because they sold equal amount of candy bars.

Step-by-step explanation:

If there are 4 students, they need to sell 53 candy bars, and they will sell the same amount each one, we just have to divide:

[tex]\frac{53}{4} =13.25[/tex], or [tex]13\frac{1}{4}[/tex]

Because the division is not exact, we have a remainder of 1.

This can be interpreted as 1 candy is not sold, because they are gonna sell equally, so in that case each one would sell 13 candy bars, and one will be unsold.

Pls Answer!!!!!
The following graph shows the number of soccer games a team won in each of their first three seasons. Explain how you could redraw the graph so that the change in wins between the three Seasons does not seem so great.

Answers

To redraw the graph so the change in wins between the three seasons does not seem so great we use a bigger scale.

In the gragh that is shown, the scale used is 1 grid unit to represent 1 goal, if we may change the scale to something like 1 grid unit to represent 2 goals or 1 grid unit to represent 3 goal, then the change in wins between the three seasons will not seem so great

Please help!!! I dont know how to do this!!please

Answers

for example: 3-4d=13.

add 3 to both sides.

now you should have 4d=16

divide by 4 on both sides

your answer would be d=4

Hello!

For ALL of the equations, you want to solve for the variable (letter) and get it by itself. So,

#1- The equation is 3n + 5 = 6. We want to subtract 5 from the left side, so 3n can be by itself. BUT, if we subtract 5 from the left, we also need to do it to right side. The equation is now: 3n = 1. We then want "n" by itself, so we need to divide "n" by 3 to get "n" by itself. Again, if we do it to the left side, we need to do it to the right. After you simplify, the equation simplifies to: n = 1/3 (in decimal form, the decimal would be repeating {0.33333}).

#2- The equation is 4 + 5x = 1. To get "5x" by itself on that side, let's subtract 4 to that side and the right side. After you do that, it'll be: 5x = -3. Then divide "x" by 5 to each side. The answer is: x= -3/5 (-0.6).

#3- The equation is 4y - 15 = -10. If we want "4y" by itself, we will do the opposite of subtracting 15 to adding 15 to both sides. After you do that, it'll be: 4y = 5. To finish it off, divide "y" by 4 to both sides. That will get you with:
y = 5/4 (1.25).

#4- The equation is 3 - 4d = 13. To get 4d by itself, let's subtract 3 to each side. That'll leave you with: -4d = 10. Now divide d by "-4" to both sides. The answer is: d = -10/4 (-2.5).

#5- The equation is 8 = 9x - 7. Let's add 7 to each side so that 9x can be by itself. After we do that, it's simplified to: 15 = 9x. Finish it off by dividing "x" by 9 to both sides. That'll leave you with the answer: x = 15/9 (in decimal form, this decimal would be repeating {1.66666}).

Anyone can fix my mistakes if they are wrong. I hope this helps!

May

Danielle earns a 7.25% commission on everything she sells at the electronic store where she works,.she also earns a base salary of $750 per week .how mcuh did she earn last week if she sold 4,000 in electronics merchandice?

Answers

29,750 is the answer for the problem

First, let's create an equation for this problem. Remember 7.25% = 0.0725
($4,000 × 0.0725 + $4,000 ) + $750

Now, all you have to do is solve it. You would start in the parenthesis using the order of operation (PEMDAS).
($4,000 × 0.0725 + $4,000 ) + $750
$4290 + $750 = $5,040

Danielle made $5,040 last week.

I hope this helps!

Given the following linear function sketch the graph of the function and find the domain and range f (x) =-5x+4

Answers

Both the domain and range of this function are all real numbers.

The two things that typically limit a domain are dividing by zero and taking the square root of a negative. Since this function does not have a square root or a denominator, then you must be able to use all real numbers.

The price of 6 pretzels is $5.10. Simon and Sofia bought 8 pretzels and shared the cost equally. How much did each person pay?

Answers

Divide 5.1 by 3, this is how you will get the price for two pretzels. Then multiply it by 4 to get the price for 8 pretzels. Lastly, divide that price by two since they split the price equally.

They shared 20.40 equally

what is the unit rate for 9 pages in 3 hours

Answers

Divide both the top and bottom by 3.

3 pages in 1 hour is the answer.

Hope this helps!

3 pages per hour. 3/1

math question answer a b and c hurry answer each one

Answers

a. let the distance be d
so we have Δd/Δt=8.8min
Δd= 8.8Δt
d=∫8.8Δt-------(1)

b. d should be positive because the diver is ascending at a positive rate relative to depth

c. d=rt
t=d/r = 32.12/8.8 min
t= 3.65min

b) You cannot travel a negative distance. For example, if you are walking, you cannot walk a negative amount.

c) About 3 minutes and 39 seconds = 3.65 minutes

May I have some help?

Answers

For whatcha problem hun

A bag contains 20 balls numbered from 1 to 20. Two balls are selected at the same time from the bag. What is the probability that the two numbers selected do NOT differ by 12

Answers

because there is a logic that 12 is a least amount or number that will be picked

When would you use a drawing of comparison bars for word problem

Answers

Answer: Comparison bars are a display tool for solving the scenario in which two elements are compared with the difference is either known or unknown.

There are three kinds of use of comparison bars in word problem such as 1) If difference is unknown then A-B=Difference[where A -bigger quantity, B-smaller quantity]. 2) If bigger quantity is unknown then A=Difference-B 3) If smaller quantity is unknown then B=Difference-A.

Final answer:

A drawing of comparison bars, also known as a bar graph, can be used in word problems when there is a need to compare different entities or categories. It is particularly useful in situations where quantitative data needs to be visually represented and compared. For example, if you are given data about the sales of different types of fruits in a grocery store, you can use a bar graph to compare the sales of each fruit.

Explanation:

Here are the steps to create a drawing of comparison bars for a word problem:

Identify the entities or categories that need to be compared. For example, if you are comparing the sales of different types of fruits, your categories would be the types of fruits (e.g. apples, bananas, oranges).Assign a numerical value or quantity to each entity or category. In the example of fruit sales, you would assign a value to each type of fruit based on their sales.Draw a horizontal axis and label it with the categories or entities.Draw a vertical axis and label it with the numerical values or quantities.For each category or entity, draw a bar of the corresponding height on the graph. The height of each bar should represent the numerical value or quantity assigned to that category or entity.Add appropriate labels and a title to the graph to provide context and clarity.

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How do I write this number in scientific notation 0.0072

Answers

7.32 x10^-3 pled mark me bran

Move the decimal so there is one non zero digit to the left of the decimal point. The number of decimal places you move will be the exponent. If the decimal is being moved to the left, it will be positive. If it is being moved to the right, it will be negative.

Hope this helps

If its not too much trouble it would mean a lot if I could have brainliest because I have a BIG unit test coming up and I really need points so I can ask questions. :)

What is the answer????

Answers

No, because there is no number between 0 and 1.

I think thats the answer but im not sure

Simplify the following expression. +−16x2+−5x3x29

Answers

Greetings!

(Assuming that the "x" signifies a multiplication sign, rather than a variable.)

Follow PEDMAS.
[tex]=+(-16)*2+(-5)*3*29[/tex]
Simplify.
[tex]=-16*2-5*3*29[/tex]
[tex]=-32-5*3*29[/tex]
[tex]=-32-15*29[/tex]
[tex]=-32-435[/tex]
[tex]=-467[/tex]

Hope this helps.
-Benjamin

Help me please please

Answers

Since 4 5/6, 5 1/5,and 4 11/12 all round to 5, your answer is 5 6/7. 5 6/7 round up to 6.

Hope this helps!

Three fourths of w plus 5 is one half of a increased by nine. I neeed to turn into an equation!

Answers

(3/4) w+5 = (1/2) a+9

An architect is designing a house in which a 104 square foot room and a 130 square foot room share a wall what is the greatest possible integer length of the shared wall -- THIS QUESTION WAS ASKED AND ANSWERED. BUT ANSWERED INCORRECTLY. NOTE THE ANSWER GIVEN CHANGED THE DIMENSIONS TO 140 FROM 104. AND THIS WEBSITE WILL NOT ALLOW ME TO REPORT THAT.

Answers

Both rooms share a common side whose dimension is unknown. Call it x.

Then, the area of both squares have x as common factor.

So, x is the greatest common factor of 104 and 130.

You should know how to calculate the greatest common factor of two integers.

Just find the prime factors and choose the common factors raised to the lowest exponent.

104 = (2^3) (13)

130 = (2) (5)(13)

=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.

Answer: 26

find a perimeter of a rectangle with a length of 665 feet and width of 421 feet. Draw your model and solve.

Answers

Well the formula for the perimeter of a rectangle is 2w+2l
w=width
l=length
So it is 2(665)+2(421)=2172

The answer is 2172 feet.

What is the value of 3/4÷6/7

Answers

1 17/28 fdgdfgfdgdfgdfgdfgdgdgdgdgdgdg

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