5) So far you have a MP3 Player with 0.5 GB of music already stored on the MP3 player and know that each song is about 0.002 GB of memory. What are the possible numbers of additional songs that you can put on the MP3 player if it holds at most 2 GB?​

Answers

Answer 1

Answer: Any whole number between 0 and 750, including both endpoints.

One example could be 700 additional songs.

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Explanation:

x = number of additional songs, some nonnegative whole number

1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.

Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.

[tex]0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\[/tex]

This says the most songs we can add are 750.

Because x is the number of songs, it doesn't make sense to have x be negative. This means [tex]x \ge 0[/tex] or [tex]0 \le x[/tex] is the case as well.

Combining [tex]0 \le x[/tex] and [tex]x \le 750[/tex] produces the compound inequality [tex]0 \le x \le 750[/tex]

The number of additional songs is any whole number between 0 and 750, including both endpoints.

The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}

The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.

So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.

Answer 2

Answer:

0 - 750 additional songs

Step-by-step explanation:

current: 0.5 mb

remaining: 2-0.5=1.5 mb

each song: 0.002 gb

take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space

work:

(total amount of storage-used amount of storage)/storage per song

(2.0-0.5)/0.002

= 1.5/0.002

= 750 songs

what are the possible number of additional songs?

anything up until 750.


Related Questions

Carl placed $2,600 in a savings account that compounds interest annually at a rate of 0.5%. How much will he have in the account after 7 years

Answers

Answer:

$2,691

Step-by-step explanation:

Interest (I) = Principal x Rate x Time

Total Amount (A) = Interest + Principal

I = 2600(.005)(7)

I = 91

A = 2600 + 91

A = 2691

The area of a square depends on the length of its sides. This can be written in function notation as a(s). What is the best interpretation of a(4) = 16?

A. The area of a square is always one-fourth of the side length.

B. The area of a square is always four times the side length.

C. A square with sides 4 units long has an area of 16 square units.

D. A square with sides 16 units long has an area of 4 square units.​

Answers

Answer:

option d is the right answer

4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.​

Answers

Answer:

2000 families read the newspaper in the Nepali language.

1800 families read it in the English language.

3800 families read the newspaper in both.

Step-by-step explanation:

#1. individual

convert % to decimal ( x ÷ 100 )

0.5 x 4000 = 2000

0.45 x 4000 = 1800

#2. together

2000 + 1800 = 3800

OR

50 + 45 = 95

95 ÷ 100 = 0.95

0.95 x 4000 = 3800

A sphere has a volume of V=324 in3. Find its surface area.

Answers

Answer:

A≈228.13in²

Step-by-step explanation:

Using the formulas

A=4πr2

V=4

3πr3

Solving forA

A=π⅓(6V)⅔=π⅓·(6·324)⅔≈228.12916in²

that's the answer

Answer:

A≈228.13in²

Step-by-step explanation:

.............

✌️❤️✌️

a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)

Answers

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3

Answers

Answer:

3. 314 student and 226 adult

4. x = 6.5, y = -0.5

Step-by-step explanation:

3. First we will take our information and make a system of equations:

[tex]2.4a+1.25s=934.9[/tex]

[tex]a+s=540[/tex]

[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.

From the second equation we can rearange it to be:

[tex]a=540-s[/tex]

Then we can plug in our new value of [tex]a[/tex] to our first equation

[tex]2.4(540-s)+1.25s=934.9[/tex]

[tex]1296-2.4s+1.25s=934.9[/tex]

[tex]1.15s=361.1[/tex]

[tex]s=314[/tex]

We can then find [tex]a[/tex] by plugging in s to our second equation

[tex]a+314=540[/tex]

[tex]a=226[/tex]

4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:

[tex]3x -5(-5x+32)=22[/tex]

[tex]3x+25x-160=22[/tex]

[tex]28x=182[/tex]

[tex]x=6.5[/tex]

Then plug our value of x into the first equation to get:

[tex]3(6.5)-5y=22[/tex]

[tex]19.5-5y=22[/tex]

[tex]5y=-2.5[/tex]

[tex]y=-0.5[/tex]

how much would it cost for a 9-hour repair

Answers

it would depend on what someone would be repairing wether it be a computer repair, car repair, plumbing etc.
regardless 9 hours is a very long time so i would not expect it to be too cheap.
hope this helps

What are two equivalent fractions for 1/2 ?

Answers

The fractions which are equivalent to 1/2 are 2/4, 3/6, 4/8, 6/12 etc. Equivalent fractions have same value in reduced form.

If I have a 68 in a class and I get 295 out of 300 points on a test, how much will the grade improve and what percentage would result?

Answers

Answer:

Use calculator

Step-by-step explanation:

Answer:

your grade would improve by a lot and if im not mistaken the resulting percentage would probably be between 80%-90%

Step-by-step explanation:

3x^3-4x^2-28x-16 divided by 3x+2

Answers

Answer: x^2 - 2x - 8

1. Mohamed bought 18 fish for his fish tank. He selected some Guppies and Platies. Mohamed really likes Guppies, so he bought three more than twice the number of Platies.

How many Guppies did Mohamed purchase?

Enter your answer in the box.

Mohamed purchased ____ Guppies for his fish tank.


2. The admission fee at the movies is $2.70 for children and $5.25 for adults. On a certain day, a total of 125 people entered the theater and $434.40 was collected.

How many adults were are the movies?

Enter your answer in the box.

There were ____ adults at the movies.


3. At the checkout counter a customer purchased a total of 20 cans of cat and dog food. The canned cat food cost $1.23 per can and the dog food cost $2.74 per can. Before taxes the cost for the cat and dog food was $41.21.

How many cans of dog food were purchased?

Enter your answer in the box.

There were ____ cans of dog food purchased.


4. There are a total of 25 deer in the front pasture. There are five more does than quadruple the number of bucks.

How many bucks are in the front pasture?

Enter your answer in the box.

There are ____ bucks in the front pasture.

Answers

Answer:

Step-by-step explanation:

1. 13

2. 38

3. 11

4. 4

What is the greatest common factor of 3 and 33?

Answers

Answer:

3

Step-by-step explanation:

Step 1: Find the factors of 3 and 33.

3: 1, 333: 1, 3, 11, 33

Step 2: Find the largest common factor they share.

As you can see, the largest common factor they share is 3.

Therefore, the GCF of 3 and 33 is 3.

Can someone help me with this? Its fairly easy but i genuinely dont remember

Answers

Supplementary angels

Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?

Answers

Answer:

.2 kilometers

Step-by-step explanation:

Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers

what is the number of terms for 1000z + 800y​

Answers

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

write an expression describing all the angles that are coterminal with 266°

Answers

Answer:

-814°, -454°, -94°, 266°, 626°. Did you mean like that?

f(x) = -2x - 1; Find f (x - 4)

Answers

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2

Answers

Answer:

step 1 - C.

step 2 - A.

step 3 - B.

A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print

Answers

Answer:

Step-by-step explanation:

1. 7$ for Each Shirt  2$ is for the Print $2.50 is the cost of back

1. (7x2x2.50) ---All Multiplication

2. Answer  35.00

Breakdown

$7.00 Mulltiplied by 2 which gives you $14.00

Then you multiply it by $2.50

Which Gives you $35.00

please help me !!! omaths student see the attached question​

Answers

Answer:

34.64m

Step-by-step explanation:

Tan30= x(height) /60

x=60tan30

=34.64m

You have to show work​

Answers

Answer:

your answer is right -2/3

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]

Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.

Answers

Answer:

1.29s = 11.61

s = 9

Step-by-step explanation:

1.29s = 11.61

s = 11.61/1.29

s = 9

Answer:

The correct answer is Ari's work

Step-by-step explanation:

right on edge

Welcome!^^

Ok here’s another question

Answers

Answer:

20 necklaces

Step-by-step explanation:

If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.

A jacket costs $80. it is on sale for 35% off. what is the discount? ​

Answers

Answer:

$52

Step-by-step explanation:

35% off

100% - 35% = 65%

65/100 = 0.65 ( multiplier)

0.65 x 80 = 52

Answer:

$28

Step-by-step explanation:

35/100 = x/800

0.35 * 800 = $28

What is the slope-intercept equation of the line below?
5
17
5
O A. y= 2x-3
O B. y=-2x+3
V
O C. y= 2x+3
O D. y=-2x-3

Answers

Answer:

Step-by-step explanation:

a

Which table represents a linear function?

Answers

Answer:

First Graph (1-5 2-10)

Step-by-step explanation:

10÷2=5

3÷15=5

4÷20=5

5÷25=5

One angle of a right triangle measures 36. 5 degrees. What is the measure of the other small angle?.

Answers

Answer:

The other small angle is 53.5 degrees

Step-by-step explanation:

We know that a right triangle has to have a 90 degree angle and 2 other small angles.

All triangles when adding up all of their "degrees" has tp equal 180 degrees.

Since we know that there is a 90 degree angle and a 36.5 degree angle.

All we have to do is add 90 plus 36.5, then subtract that sum onto 180.

90 + 36.5 = 126.5

180 - 126.5 = 53.5

So the answer is 53.5 degrees.

Hope this helps! :)

૮ ・ﻌ・ა

A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.

Missing angle  = sum of angles in a triangle - (sum of the two given angles)

Missing angle = 180 - ( 90 + 36.5)

180 - 126.50

= 53.5 degrees

Please find attached an image of a right triangle. A similar question was answered here: https://brainly.com/question/24353342

Help help help help help

Answers

10pi is the circumference

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

15

Step-by-step explanation:

7.5*2

Answer:

15 ft

Step-by-step explanation:

1 inch is 2 ft

remember 1 ft is 12 inches so,

1 inch is 24 inches

so 7.5 inch will be 24*7.5 = 180 inches

180 inch / 12 = 15 ft

Drag the numbers below to put them in order from least to greatest:

-9 -12 -4
–4 20 -1 -6

Answers

Answer:

-12, -6, -4, -1, 9, 20

Step-by-step explanation:

9, -12, -4, 20 -1, -6

putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).

The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.

Given data: -9, -12, -4, 20, -6, -1

Starting from the smallest number:

-12 is the smallest number.

Next is -9, which is larger than -12 but smaller than -6.

Then comes -6, larger than -9 but smaller than -4.

After that, we have two occurrences of -4.

Following that is -1, greater than -4.

Finally, the largest number is 20.

So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.

Learn more about ascending order here:

https://brainly.com/question/31946606

#SPJ12

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