Randall recorded 8 songs on his most recent CD the total length of the CD is 49 minutes find a until rate to represent the average length per song on the CF Please help I don't understand

Answers

Answer 1

Answer:

6.125 minutes per song

Step-by-step explanation:

Unit rates are based on a single unit of something.  Like price per 1 gallon of gas; price for 1 pound of bananas; miles driven per 1 gallon of gas, etc.  What we are looking for in minutes per song.

Use a proportion to solve this with minutes on top and number of songs on the bottom.  We know that 49 minutes = 8 songs, and we want to know how many minutes (x) per 1 song:

[tex]\frac{min}{song}:\frac{49}{8}= \frac{x}{1}[/tex]

Cross multiply to get

8x = 49 so

x = 6.125 minutes per song

Answer 2
Final answer:

The question asked was about finding the average length of songs on a CD. We calculated this by dividing the total length of the CD (49 minutes) by the total number of songs (8), which gives us an average song length of 6.125 minutes.

Explanation:

The subject of the question is average, a fundamental concept in mathematics. In this particular question, we need to find out the average length of the songs on Randall's CD. We know that the total length of his CD is 49 minutes, and he has recorded 8 songs on it. Finding the average involves dividing the total by the number of units.

The steps to find the average length per song are as follows:

Add up the total amount - in this case, it's 49 minutes.Count the number of units - here, it's 8 songs.Divide the total (49 minutes) by the number of units (8 songs).

Upon carrying out this calculation, we discover that the average length of each song is approximately 6.125 minutes.

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Related Questions

The invoice date is November 15. The terms are 4.5/10 EOM. What is the discount rate and the last day to pay in full?


A. 4.5%; November 25

B. 4.5%; December 30

C. 4%; December 25

D. 4.5%; December 20

Answers

Answer:

A. 4.5%; November 25

Step-by-step explanation:

4.5/10 EOM is a type of payment term you will see on an invoice. The 4.5 stands for discount percentage and the 10 is a number of days. 4.5/10 means the payment on the invoice is due in 10 days. EOM stands for end of the month. So if the amount is paid within 10 days, the customer gets a discount of 4.5%. Which means the last day to pay in full is November 25. After that there is no discount.

Need help with math question

Answers

Answer:

48

Step-by-step explanation:

[tex] y = \frac{96}{2} = 48 \\ [/tex]

How much is the difference in yearly median income for a female versus male at a masters degree level?

Answers

Answer: the difference in yearly median income for a female vs male at a masters degree level is

$15,642.90/year

Step-by-step explanation:

there are roughly 52.143 week in a year.

the median weekly income for a female with a masters degree is : $901.00

the median weekly income for a male with a masters degree is :

$1,201

so if you multiply $901 x 52.143 you get :

$46,980.84, which is what a female makes in a year with a md

and if you multiply $1,201 x 52.143 you get :

$62,623.74, which is what a male makes in a year with a md

subtract $62,623.74 - $46,980.84 you get :

$15,642.90 / year

Final answer:

The difference in yearly median income for a female versus male at a master's degree level is $89,804.

Explanation:

The difference in yearly median income for a female versus male at a master's degree level is $2,951 per week. To find the yearly difference, we can multiply this average by 52 weeks, which equals $153,452 per year.



Comparing this to the median yearly earnings for a full-time worker over 25 with no higher than a bachelor's degree, which is $63,648, we can see that having a master's degree more than doubles the earning potential.



Therefore, the difference in yearly median income for a female versus male at a master's degree level is approximately $89,804.

Find the equation of the graph in function notation. Name your function "f" and use x as your variable.

Answers

Answer:

[tex]f(x)=\frac{1}{2}x-1[/tex]

Step-by-step explanation:

The equation of the graph can be obtained using the formula:

[tex]\frac{x}{x-intercept}+\frac{y}{y-intercept}=1[/tex]

From the graph, the y-intercept is -1 and the x-intercept is 2

We substitute these values to get:

[tex]\frac{x}{2}+\frac{y}{-1}=1[/tex]

[tex]\frac{x}{2}-y=1[/tex]

This implies that;

[tex]\frac{x}{2}-1=y[/tex]

Or

[tex]y=\frac{1}{2}x-1[/tex]

The function notation is

[tex]f(x)=\frac{1}{2}x-1[/tex]

In the paper airplane,ABC≠EFGH m
a. 90



b. 52



c. 128



d. 62

Answers

Answer:

90 maube

Step-by-step explanation:

A customer wants you to enlarge a photo to 2 3/ 4 its current height. The photo's current height is 3 1/4 inches. What should its enlarged height be, in inches?

Answers

I think the answer should be 6,I just added the two fractions

If forester Kim walks 20 paces in a chain, and she walks 81 paces between points c and d, how far apart, in feet, are points c and d?

Answers

Answer:202.5 ft

Step-by-step explanation: 1 pace is 2.5 feet so 81 paces are 202.5 feet

Two cars started moving in opposite directions from the same point at the same moment of time. If the speed of one car is 50 mph, and the other car goes at a speed of 60 mph, how soon the distance between them will become 1320 miles?

Answers

<---------------------------||----------------------------------------->

           A                                         B

          50 mph                               60 mph

so let's recall that d = rt, distance = rate * time.

both cars start out at the same time, say "t" hours.

after "t" hours car A has covered say "d" miles, since there's a total of 1320, then car B must surely had covered the slack, or 1320 - d.

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ A&d&50&t\\ B&1320-d&60&t \end{array}\qquad \implies \begin{cases} ~\hfill \boxed{d}=50t\\ 1320-d=60t \end{cases} \\\\\\ 1320-\boxed{50t}=60t\implies 1320=110t\implies \cfrac{1320}{110}=t\implies 12=t[/tex]

Solve the right triangle

Answers

Answer:

Step-by-step explanation:

To start with a = 12 (given)

Tan(50) = b / 12

Tan(50) = 1.192

1.192 = b / 12             Multiply both sides by 12

1.192 * 12 = b

b = 14.301

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

Cos(50) = 12/c

Cos(50) = 0.4628

0.4628 = 12 / c                 Multiply both sides by c

0.4628 * c = 12                 Divide by 0.4628

c = 12/ 0.4628

c = 18.67

If secx = -2, then in which quadrants do the solutions lie?

A. I, II
B. I, III
C. II, III
D. III, IV

Answers

ANSWER

C. II, III

EXPLANATION

The secant ratio is negative in the second and third quadrants but positive in the first and fourth quadrants.

The given secant ratio is

[tex] \sec(x) = - 2 = - \frac{2}{1} [/tex]

Since the secant ratio is negative, its solution must lie in the third and second quadrant.

The correct answer is C

One canned juice drink is 15​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in order to get 5L that is 13​% orange​ juice?

Answers

Answer:

3 liters of 15% and 2 liters of 10%

Step-by-step explanation:

You can set up a table that says the number of liters multiplied by the percent juice equals total percent of juice in L liters:

              L      *      % juice    =         %L

That is the main set up for the table.  We will put in values for the percent juice right away, because they were given to us.  Remember that percentages need to be expressed as decimals in order to use them in equations.

              L     *       % juice       =        %L

15%                          .15

10%                          .10

___________________________________

13%                           .13

Easy enough so far.  We know that the 15% juice canned juice contains 15% juice.  No secrets there at all.  We also made a row for the mixture that needs to be 13% juice.  Next we know that the total amount of the mixture has to be 5 liters.  If we mix one juice with another and the total has to be 5 liters, then we have an unknown amount of one juice, and 5 - that unknown amount of the other juice.  Filling in we have:

             L      *      % juice       =       %L

15%        x                   .15

10%      5 - x                .10

______________________________

13%         5                   .13

Our equation tells us that we have to multiply the L times the % to fill in that last column:

             L      *      % juice      =       %L

15%        x     *          .15           =      .15x

10%      5-x    *          .10          =     .10(5 - x)

__________________________________

13%         5      *        .13           =     .65

We are told from the problem we are adding the 2 juices to get the mixture, so we will add the rows in the last column and set it equal to .65:

.15x + .10(5 - x) = .65

Let's multiply everything by 100 to get rid of all those decimals:

15x + 10(5 - x) = 65

Distributing and combining like terms:

15x + 50 - 10x = 65 and

5x = 15

x = 3

That means that we need 3 liters of the canned juice that is 15% juice.

5 - 3 = 2...and 2 liters of the canned juice that is 10% juice to get the correct number of liters of 13% juice.

Final answer:

The question is to determine the volumes of two types of orange juice with different concentration percentages required to mix to get another juice with a specified concentration. Using the concept of weighted averages, a mathematical equation can be set up and solved to get the desired volumes.

Explanation:

To solve this problem, we'll use the concept of weighted averages in mathematics. The method is to set up an equation based on the volume and percentage of orange juice. We'd consider the volume of the 15% juice as 'x' liters and that of the 10% juice as '5 - x' liters (since the total volume must be 5 liters).

The equation would be: 0.15x + 0.10(5 - x) = 0.13 * 5

Solving this equation gives the volume of the 15% juice (x) and 5 - x gives the volume of the 10% juice.

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5. Which stem-and-leaf plot represents the data set below?(1 point) 64,67,81,89,108,114,74,52,93,76,87

Answers

 Even though I'm late it's

5 | 2

6 | 4     7

7 | 4      6

8 | 1       7      9

9 | 3

10 | 8

11 | 4

Well that's what it was for mine, yours seems to be the same one as mine

The stem-and-leaf plot that represents the given data set is shown in the image attached below:

How to Draw a Stem-and-Leaf?

If 74, 75, 76 are data points in a given data set, 7 will be stem, while 4, 5, 6 will be the leaf on the stem-and-leaf plot.

Given the data set, 64,67,81,89,108,114,74,52,93,76,87, the stem-and-leaf plot of the data would be drawn as shown in the image attached below.

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Determine which postulate or theorem can be used to prove that ΔABC ≅ ΔDCB. tyvm!

Answers

Answer:

D. ASA

Step-by-step explanation:

We are given the measure of angle C, the side BC, and the measure of angle B

So we are given an angle, a side, then an angle

Answer:

The correct answer is option C.   AAS

Step-by-step explanation:

From the figure we can see that, two triangles,

ΔABC and ΔBCD

To find the correct option

From figure we can see that,

From ΔABC and ΔBCD we get,

<A = <D  

<C = <B and side BC is common for both the triangles ΔABC and ΔBCD

The order of congruence is

angle, angle and side AAS

The correct answer is option C.   AAS

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.

Given = [tex]3\sqrt{2}[/tex]

________ inches.

Answers

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{3^2\sqrt{2^2}+3^2\sqrt{2^2}}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6[/tex]

Someone help


Rick is driving to his uncle's house in Greenville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away. Which equation, when solved, will give the value of x? A. x + 120 = 20 B. x × 120 = 20 C. x + 20 = 120 D. x × 20 = 120

Answers

Answer:

c

Step-by-step explanation:

The equation which represents the total distance is x + 20 = 120. The correct option is C.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rick is driving to his uncle's house in Greenville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away.

The expression will be written as,

x + 20 = 120

Therefore, the equation which represents the total distance is x + 20 = 120. The correct option is C.

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Car Sales

Name Sales

Patrick 8

Jeffrey 12

Robin 7

Sally 15

Manuel 4

Ming 10

Jesse 12

Mark 17

Jenna 16


The owner of a car dealership keeps track of the monthly car sales for the salespeople at the dealership. What is the range for the number of cars sold?

Answers

Answer:

The answer is 13- cedric Rhen

Step-by-step explanation:

The range for the number of cars sold at the dealership is 13 cars, calculated by subtracting the lowest sales number (4) from the highest (17).

The range for the number of cars sold by the salespeople at the dealership can be calculated by finding the difference between the maximum and minimum sales numbers. First, we identify the highest and lowest sales figures from the list provided. The highest number of sales is 17 (by Mark) and the lowest is 4 (by Manuel).

Now, subtract the minimum from the maximum to get the range: 17 (max) - 4 (min) = 13.

Therefore, the range for the number of cars sold is 13 cars.

Which trig function and ratio would you use to solve the following?


tan 30 = x4

sin 30 = 4x

cos 30 = x4

cos 30 = 4x

Answers

Have you found the answer to this??

Answer:

[tex]cos(30)= \frac{4}{x}[/tex]

Step-by-step explanation:

WE use the given triangle to solve for x

Given triangle is right angle triangle , so we use trigonometric rations

WE know

sin = opposite side / hypotenuse

cos = adjacent side / hypotenuse

tan= opposite side / adjacent side

For angle 30 degree, the hypotenuse is x

adjacent side have side length 4

we know the hypotenuse and adjacent side so we use cos

[tex]cos(30)= \frac{adjacent}{hypotenuse}[/tex]

[tex]cos(30)= \frac{4}{x}[/tex]

A building manager installs sensors to see how often people turn off the lights when they leave the room. After a month the manager has a sample size of 625, a sample mean of 47%, and a sample standard deviation of 5%. What is the confidence level for a confidence interval of 46.8% to 47.2%?
A. 85%
B. 99.7%
C. 95%
D. 68%

Answers

Answer:

D. 68%

Step-by-step explanation:

The following statistics are given;

sample mean = 47%

s = 5% ; the sample standard deviation

n = 625 ; the sample size

The confidence interval for a population mean is given as;

sample mean ± z-score*[tex]\frac{s}{\sqrt{n} }[/tex]

Substituting the above values we have;

47 ± z-score*[tex]\frac{5}{\sqrt{625} }[/tex]

47 ± z-score*0.2

The confidence interval has been given as;

lower limit = 46.8%

upper limit = 47.2%

We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;

47 - z-score*0.2 = 46.8

-z-score*0.2 = 46.8 - 47

-z-score*0.2 = -0.2

z-score = 1

The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.

Pr( -1<Z<1 ) = 0.68 = 68%

From the Empirical rule

Answer:D. 68

Step-by-step explanation:

Please help me out :)

Answers

Answer:

Valid

Step-by-step explanation:

If you draw a square with a side length of 3, that means all the other sides are also 3. So, we can conclude that the area is 9, and that is valid.

Hope... yeah you know the drill.

I'm STILL gonna copyright it.

Copyright Potato 2019.

Please Help!!!!!! Using the rest of my points for this!

Answers

It’s the first one on the top left corner

Answer:

A (top left)

Step-by-step explanation:

24 / 16 = 1.5

42/28 = 1.5

So SF =

Answer is: A (top left)

Can someone pease help





Consider the sequence below.



Complete the recursively defined function to describe this sequence.

Answers

ANSWER

[tex]f(1) = - 34[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

EXPLANATION

The given sequence is;

-34,-21,-8,5,....

The first term of the sequence is

[tex]f(1) = - 34[/tex]

The common difference is

[tex]d = 5 - - 8[/tex]

[tex]d = 5 + 8 = 13[/tex]

The recursive definition is given by;

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

for n=2,3,4,...

Answer:

I just took the test and got it right.

Step-by-step explanation:

The initial population of a town is 2808 grows with a doubling time of 10 years what will the population be in eight years

Answers

if the amount doubles, that means the rate of change is 100%, whatever the current amount + 100% of that amount, so it doubles, rate of increase is 100%.

[tex]\bf \textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2808\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.0\\ t=\textit{elapsed time}\dotfill &8\\ c=period\to &10 \end{cases} \\\\\\ A=2808(1 + 1)^{\frac{8}{10}}\implies A=2808(2)^{\frac{4}{5}}\\\\\\ A\approx 2808(1.74)\implies A\approx 4889[/tex]

A laptop computer is purchased for $2250 . After each year, the resale value decreases by 35% . What will the resale value be after 3 years?

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2250\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=\textit{elapsed time}\dotfill &3\\ \end{cases} \\\\\\ A=2250(1-0.35)^3\implies A=2250(0.65)^3\implies A\approx 617.91[/tex]

Given: f (x ) = 4x⁴ - 15 and g (x ) = 2x + 11
What is the value of g (f (x )) ?

Answers

64x^4+1408x^3+11616x^2+ 42592x+ 58549

PLEASE HELP ME WITH THIS MATH QUESTION ASAP!!

Answers

Answer:

f(x) = 2x+3

g(x) = 1/x^2

Step-by-step explanation:

There are many ways you can write the given expression as a function of a function. In general, you want to think about the operations that are performed on the variable, then consider which operations might be performed first, and what operations might be performed on the results of the first ones.

When the given expression is evaluated, you ...

• square the variable

• divide 2 by the result

• add 3 to that result

It is reasonable to divide this list into two parts, then make one function do one part of the list and the other function do the other part.

In our selection of f() and g() above, we have chosen to make g(x) be ...

• square the variable

• find the reciprocal of that result

and we have defined f(x) to be

• multiply that result by 2

• add 3.

__

You will note that multiplying the reciprocal by 2 is the same as dividing 2 by the result.

_____

Our f(x) and g(x) are ...

g(x) = 1/x^2

f(x) = 2x +3

Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.

x f(x)
-3 0
-2 3
-1 4
0 3
1 0

Answers

The difference between the x's -2 and 1 = 3

The difference between the corresponding f(x) values is 3 -0 = 3

The average rate of change is f(x) / x = 3/3 = 1

Huang, José, and Sam ran a 100-m dash. José did not come in second; Huang did not come in third. José’s time was 2 seconds faster than that of the oldest boy in the race. In what order did the boys finish the race?

a. José, Huang, Sam

b. José, Sam, Huang

c. Sam, José, Huang

d. Sam, Huang, José

Answers

Answer:

A. José, Huang, Sam

Explanation:

José’s time is faster than the oldest boy, so he came in 1st or 2nd. It is given that José did not come in second, so he came in first. The remaining places are second and third. It is stated that Huang did not come in third, so Huang came second and Sam came third. The order is José, Huang, and then Sam.

A. josé ,Huang ,Sam

A quadratic function and an exponential function are graphed below. Which graph most likely represents the quadratic function?


*PIC*


f(x), because an increasing exponential function will eventually exceed an increasing quadratic function


g(x), because an increasing quadratic function will eventually exceed an increasing exponential function


g(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect


f(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect

Answers

Answer:

The right answer for the question that is being asked and shown above is that: "f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect."  The points of f(x) compared to g(x) is more increasing.

hope this help

The graph which most likely represents the quadratic function is f(x), because an increasing exponential function will eventually exceed an increasing quadratic function.

What is a quadratic function ?

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic function is,

f(x)=ax²+bx+c

Here,(a,b, c) is the real numbers and (x) is the variable.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

An increasing exponential function is eventually exceed an increasing quadratic function.

Thus, the graph which most likely represents the quadratic function is f(x), because an increasing exponential function will eventually exceed an increasing quadratic function.

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Find the measure of arc BC. PLEASE HELP!!

Answers

Check the picture below.

The measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.

What is the measure of arc made by parallel chord?

The measure of arc made by parallel chord in a circle are equal in measure.

The arc made by chord BC is,

arc BC=8x-46°                  .....1

The arc made by chord AD is,

arc AD=5x+26°                 .......2

The chord AD and BC are equal. Thus, the arc made by them should be equal. Thus,

arc BC=arc AD

8x-46°=5x+26°

Simplify it further,

8x-46°=5x+26°

8x-5x=26+46

3x=72

x=(72/3)

x=24°

Put the value of x in equation 1,

arc BC=8x-46°

arc BC=8(24°)-46°

arc BC=192°-46°

arc BC=146°

Thus, the measure of arc BC in a circle where the two chords, chord AD and chord AC are equal in measure, is 146°. Option C is correct.

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2.) The inverse of the function y = 7x + 5 is y = x+5/7
A. True
B. False

Answers

Answer:it is false

Step-by-step explanation:

Since we are talking about inverse of a function. we would be dealing with reversal. An inverse function is function that reverses another function. Getting the inverse will require reversing the numerator and denominator. This means that the numerator becomes the denominator and the denominator becomes the numerator.

The function given is

y = 7x + 5

Let us solve to see whether the inverse is is y = x+5/7 is true or false

The numerator is 7x + 5 and the denominator is 1

The inverse becomes 1 / (7x + 5 )

So it is false

Other Questions
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