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.

==================================================

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

1. Find the total of $18.93 with a 4.5% sales tax. *
$19.73
$38.66
$19.78
$38.71

Answers

Answer:

$19.78

Step-by-step explanation:

0.045 X 18.93 = 0.85185

0.85185 + 18.93 = 19.78

It took a cheetah 45 minutes to run from Jungle A to Jungle B.
Its average speed was 80 km/h. Find the distance between
the two jungles.

Answers

so you need to find 3/4 of 80 (60 Km/h)

and since 45 minutes is 3/4 of an hour

your answer is (60 Km/h)

Answer:

The distance between the two jungles is 60 km

Step-by-step explanation:

cheetah is going 80km/hr or (80km/60min)

using this 45min is 3/4 of 60 min

and 3/4 of 80km is 60km

So basically

[tex]\frac{80km}{1hr} = \frac{80km}{60min} * \frac{0.75}{0.75} = \frac{60km}{45min}[/tex]

Find the distance between two points of P(1,2)and Q(3,4)​

Answers

Answer:

I think this is the answer. hope it will help you

Step-by-step explanation:

p={1,2}

Q={3,4}

distance=\sqrt{{(x2-x1)^2-(y2-y1)^2}

=\sqrt(3-1)^2-(4-2)^2}

=\sqrt{(2)^2-(2)^2

=0 units

please mark as brainliest and thank if it helps...

Could some please help and explain?

Answers

Answer:

x = 7

Step-by-step explanation:

A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that

7x+8 = 9x - 6

subtract 7x from both sides to put the variable on one side

2x - 6 = 8

add 6 to both sides to isolate the variable and its coefficient

2x = 14

divide both sides by 2 to isolate x

x = 7

please answerrrrrrrrrrr

Answers

Answer:

I think it's 25 meters.

Hope that helps. x

Answer:

I think it will be 25 meters

pls i cant do this more longer i need help i will give brainlist !!!!!!!!!

Answers

Basically, 6 is the base number for this. The equation for this is 6 * 3^n

The 12th number in this sequence is 3,188,646

Hope this helps :)

Answer:

Step-by-step explanation:

6, 18, 54, 162, ...

[tex]a_{1}[/tex] = 6

r = 3

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

[tex]a_{12}[/tex] = 6 × [tex]3^{11}[/tex] = 1,062,882

crisps
normal price £1.43
three for the price of two
what is the total of 6 packets

Answers

Answer:

3 packs equal the price of two, therefore 1.43•2= 2.86

and 6 packs equal the price of 4, so 2.86•2= 5.72

Solve for x
10/x+7 = 6
Give your answer as an improper fraction in its simplest form.

Answers

Answer:

-16/3

Step-by-step explanation:

i did math

PLEASE HELP WITH ALGEBRA WILL GIVE BRAINLIEST

Answers

Answer:

x^5/4

Step-by-step explanation:

The first one

WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!
9y + 2 = 58; {4,5,6}
Please show your work.

A, Y=4
B, Y=5
C, Y=6

Answers

Answer:

6

Step-by-step explanation:

Replace y with each of your answers and then solve from thwre.

a letter is chosen at random from the word 'mathematics'. Fin the probability that letter T is not chosen.​

Answers

Answer:

2/11 is the answer of your question

Edwin is selling 5 candy bars for $6. what if 5 was 1

Answers

Answer:

$ 1.2

Step-by-step explanation:

you need to divide 6/5 and then that's the answer.

Write the equation of a line that goes through the points (-5,6) and (10,-6). The final answer should be in Slope Intercept Form.

Answers

Answer:

y=-4/5x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-6)/(10-(-5))

m=-12/(10+5)

m=-12/15

simplify

m=-4/5

y-y1=m(x-x1)

y-6=-4/5(x-(-5))

y-6=-4/5(x+5)

y=-4/5x-20/5+6

y=-4/5x-4+6

y=-4/5x+2

a measure is stated as 1000m correct to the nearest 50m find the lower bound

Answers

1000m divided by 50 = 20m

A board isThree boards are placed end to end to make a walkway. The first board is 2 feet 8 inches long, the second board is 6 feet 10 inches long, and the third board is 4 feet 9 inches long. How long is the walkway?
93 inches long. How long is it in feet and inches?

Answers

Answer:

wowo

Step-by-step explanation:

HELP! I WILL NOT TAKE SPAM ANSWERS! IF U SEND ME AA LINK I'M GONNA GET MAD!
An electrician cut 3 5/8 yards of wire into six equal sections. After cutting, how long was each piece?

Answers

Answer:

29/48

Step-by-step explanation:

3 5/8  Divided By 6= 29/48

Dividing fractions is simple if you know what to do, and how to multiply.

Here's how:

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

1. convert any whole number or mixed number into a fraction.

6 = 6/1.

Whole number x denominator + numerator = 29/8

 (3)                              (8)                       (5)         (answer/original denominator)

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

2. Keep, Change, Flip (KCF)

29             1

__      x     __

8                6

With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.

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

3. Multiply numerators and denominators

29 x 1 =      29

                  __

8 x 6   =     48

29/48 is in it's simplest form.

Hence, your answer.

Each wired piece was 29/48 of a yard.P.S  -  Please let me know if i made any mistakes.

help me 6= a/4 + 2
It's a two-steps equations

Answers

6=a/(4+2)

6=a/6

Now multiply both sides by 6 to cancel one of them.

6*6=6*a/6

6*6=a

36=a

Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
If you drive 40 miles, how much can you expect to pay?

Answers

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.

Three numbers have an average of 15. If two of the numbers are 10 and 12, then what is the other number?

Answer with supporting work:

Answers

Answer:

Step-by-step explanation:

(12+10+x)/3=15

15*3=12+10+x

45-12-20=x

X=23

PLEASE HELP ME GET ANSWER

Answers

Solution: the second number is 90

Step by step solution:
A=A
B=5A
C=5A-13

A+5A+5A-13=185
11A-13=185
11A=198
A=18

A=18
B=90
C=77

Hope that helps :)

Answer:

The second number is 90.

Step-by-step explanation:

The first statement isn't at all helpful when you start the problem.  Three numbers add up to 185.  Big deal.  Hold that thought for later.

You need a place to start:  think about some quantity to assign a variable name (letter) to.   Look at the second statement.

The second number is 5 times the first.  If  x  represents the first number, then 5 times that is 5x.  So far, you have this:

x = first number

5x = second number

Next:  The third number is 13 less than the second number.  "13 less than" means to subtract 13 from something.  But what?  The second number.

5x - 13 = third number

Now the first statement is useful.  All three numbers add up to 185.

x + 5x + (5x - 13) = 185

Combine like terms.

11x - 13 = 185

Add 13.

11x = 198

Divide by 11.

x = 18

Wait!  Trick question.  The problem asks for the second number, not the first.

5x = 5(18) = 90

Tom is stringing up Christmas lights on his house. The first 2 strings of light have the same number of light bulbs. The 3rd string of light has 12 more light bulbs;? 7 than the first 2 strings. There are a total of 88 light bulbs. How many light bulbs are on the first string?

Answers

The answer to this question is 38

help pls please again and again anf again​

Answers

2^5.

2*2*2*2*2 = 32.

The equation simplified is 32 or 2^5.


Will give BRAINLIEST

Answers

Answer: pentagon

Step-by-step explanation:

Answer is pentagon thank you

Why will nobody answer my questions..

Which graph represents the solution to this inequality?
-1/4(12x+8)<-2x+11

Answers

Answer: I would need a picture of the possible graphs.

Select the correct answer.
A building has a triangular rooftop terrace which is modeled by triangle A BC. In triangle A BC, the measure of XA is 55°. the measure of
XB is 65°, and the measure of C is 60°.
Which side of the terrace has the greatest length?

Answers

Considering the angles of the triangle, side AC has the greater length, as it is opposite to the greatest angle.

Which side has the greatest length on a triangle?

It is the side that is opposite to the angle with the greatest measure.

In this problem, angle B has the greatest measure, of 65º, hence side AC has the greater length, as it is opposite to angle B.

More can be learned about the length of triangles at https://brainly.com/question/305520

#SPJ1

Answer:

Side AC has the greatest length

Step-by-step explanation:

Solve for x
16x^2 + 9 = 5

Answers

Answer:

X=-4

Step-by-step explanation:

16x^2+9=5

- 9 -9

16x^2= -4

16/-4 =

-4

Please help serious answers only

Answers

Answer:

#4          x = 3 ± i√31

                       2

Step-by-step explanation:

Solve by completing the square

  x² - 3x + 10 = 0    

  x² - 3x       =  -10

 x² - 3x + 9/4  =  -10 + 9/4       half of 3 and square the answer (half of 3 = 3/2  

                                                 and square the number   (3/2)²  = 9/4    

x² - 3x + 9/4  =  -31/4

[tex](x - \frac{3}{2} )^2 = \frac{-31}{4}[/tex]

[tex]\sqrt{(x-\frac{3}{2})^2 } =\sqrt{\frac{-31}{4} }[/tex]

[tex]x - \frac{3}{2} = \frac{i\sqrt{31} }{2}[/tex]  

x = 3/2 ±  i[tex]\sqrt{31}[/tex] /2

x = 3 ± i√31

          2

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]

PlZ HELP
fill in the blanks ​

Answers

Answer:

3*(8-5)=(3*8)-(3*5)

Answer:

I think it would be 3x(8-5)=(3x6)-(3x3)

Step-by-step explanation:

This is because if you answer the left side of the equation, it would be 9:

3x(8-5)

(8-5=3)

then 3x3=9

and on the right side of the equation, if you plug in 6 and 3 + solve the equation you would get 9:

(3x6)-(3x3)

18-9

=9

so all together it would be 9=9 which is true

meaning that the numbers 6, and 3 are the numbers you use to fill in the blanks (this is only one of the possible answers, there are many more!)

Not sure if all calculations are correct, but I hope this helps! :)

Plz, help I will give brainiest to the correct answer!

Answers

Answer:

A is correct.

Step-by-step explanation:

Other Questions
What are the different ways to choose the tens digit, B, in the number 76581B2, so that the number will be divisible by 4? Explain your reasoning. 1. Before starting, make a prediction: If substances B and C are both in the gas phase and are at the same energy level, which of the two substances will need to have more energy transferred out in order to change to the liquid phase? Substance B or substance C? Explain your answer. Which of the three types of RNA isinvolved directly with the process oftranscription?A. transfer RNA (TRNA)B. ribosomal RNA (TRNA)C. messenger RNA (mRNA) When a basketball player makes a trip to the free throw line, he takes two consecutive shots. It is oftenwondered whether these two shots are independent or dependent does the probability of making thesecond free throw depend on whether a player makes the first free throw?After analyzing data for Lebron James, statisticians determined that his first and second free throws areentirely independent events. The frequency table below shows the data that analysts used to determine thisindependence.Fill in the missing values from the frequency table. Analyze the reaction of solid magnesium and water. Which pair of reactants and products in the table below represent the correct balanced equation for the reaction? mr.wilson drives 450 miles in 7 hours. at this rate about how many miles does he drive in 6 hours????A.) 101B.) 254C.) 340D.) 386 What is 0.2 rounded to the nearest whole number? PLEASE HELP I WILL GIVE BRAINLESS!!!!) Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players scores are shown in the table. If a city with a population of 500,000 doubles in size every 85 years, what will the populationbe 340 years from now? Nylon is a synthetic material that has many uses. It is used in the production of machine parts, cookware, and fabric. Nylon is made from petroleum and natural gas. Suppose that there were a shortage of petroleum and natural gas. What would companies that produce nylon likely need to do? A. identify a different natural resource that nylon could be made from B. search for nylon in many different parts of the earth C. convert existing nylon back into petroleum and natural gas D. find a way to make nylon without using natural resources There are flags planted along a forest. Thereare blue flags planted every 10 miles and thereare purple flags planted every 20 miles. If theforest is 300 miles long, how many times willthere be a blue and purple flag in the samespot? List three (3) features of first generation computer PLEASE HELP!!!!! What is the main them of lucy gray poem by Wordsworth What did Ernest Rutherford expect to happen when he aimed a beam of particles at a thin gold foil Place the events that form hurricane-force winds in order. Describe a real life multipication situation for which an estimate makes sense explain why it makes sense. NEEDS TO BE ANSWERED RIGHT NOW Which of the following used the metaphor of asea monster to describe the power of amonarch?A. HobbesB. LockeC. Washington Alpha and Beta Companies can borrow for a five-year term at the following rates: Alpha Beta Moodys credit rating Aa Baa Fixed-rate borrowing cost 10.5% 12.0% Floating-rate borrowing cost LIBOR LIBOR + 1% This time assuming more realistically that a swap bank is involved as an intermediary. Assume the swap bank is quoting five-year dollar interest rate swaps at 10.7% - 10.8% against LIBOR flat. Consequently, Alpha will issue fixed-rate debt at 10.5% and Beta will issue floating rate-debt at LIBOR + 1%. Alpha will receive 10.7% from the swap bank and pay it LIBOR. Beta will pay 10.8% to the swap bank and receive from it LIBOR. If this is done, Alphas floating-rate all-in-cost is: 10.5% + LIBOR - 10.7% = LIBOR - .20%, a .20% savings over issuing floating-rate debt on its own. Betas fixed-rate all-in-cost is: LIBOR+ 1% + 10.8% - LIBOR = 11.8%, a .20% savings over issuing fixed-rate debt. Is that analysis correct? 5. Talk about your favorite season.(What is your favorite season (spring, summer, winter or autumn)? / Whats the weather like during that season? / What do you often do during that season? / Why do you like it?). How many atoms are in 25.0 grams of carbon?