Fernando loves to make music playlists. He likes to keep the same ratio of country songs to rock songs. On his summer playlist, he has 100 country songs and 24 rock songs. On his road trip playlist, Fernando has 25 country songs.
How many rock songs are on Fernando's road trip playlist?

Answers

Answer 1

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

[tex]\frac{c_1}{r_1} = \frac{c_2}{r_2}[/tex]

Putting the values

[tex]\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6[/tex]

Hence,

There are 6 rock songs on Fernando's road trip playlist.

Answer 2

Answer:

6 songs

Step-by-step explanation:  

       


Related Questions

What is the volume of the rectangular prism below?



A

16 cubic units


B

20 cubic units


C

23 cubic units


D

32 cubic units

Answers

Answer:

D- 32 cubic units

Step-by-step explanation:

count each side and then multiple the numbers

10 -(-6) can someone solve this for me please

Answers

Step-by-step explanation:

1 0 +6 =16

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

Answer: its 16 :)

Step-by-step explanation: see the negitive sign next the negitive, that means its positiveee

One ball is drawn from a bag containing 4 red balls numbered 1–4 and 10 white balls numbered 5–14. Find the following probabilities.
What is the probability that the ball not divisible by 3?

Answers

Step-by-step explanation:

9 in total numbers can't be divided by 3...

therefore your probability will be = 9/14

= 0.64

what is the value of x in the eqation 5[x-6] = 2 [x+3]

Answers

Answer:

x = 12

Step-by-step explanation:

5x - 30 = 2x + 6

3x = 36

x = 12

Answer:

x=12

Step-by-step explanation:

1) distribute values:

5x-30=2x+6

2) add 30 to both sides

5x=2x+36

3) subtract 2x from both sides

3x=36

4) divide by 3

x=12

What temperature is halfway between 0 and 14 degrees

Answers

Answer:

Step-by-step explanation:

you get the minimum +the maximum ÷ 2

so : (0+14)÷2 =7°

karie builds a skate ramp with 2 metres of wood. she wants the vertical height of the ramp to be 1 metre. what does the angle elevation need to be

Answers

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:

  Sin = Opposite/Hypotenuse

For a ramp 1 m high and 2 m long, we have ...

  sin(x) = (1 m)/(2 m) = 1/2

  x = arcsin(1/2) = 30°

The elevation angle of the ramp needs to be 30°.

find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7 ​

Answers

Answer:

A = $19,908.59

Step-by-step explanation:

Compound Interest

Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

k = number of times interest applied per time period

t = number of time periods elapsed

We are given the following data:

P = $12,000

r = 7.5% = 7.5/100 = 0.075

t = 7

k = 1 since there is only on compounding per year.

Applying the formula:

[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]

[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]

A = $19,908.59

Express -17/8 in decimal form

Answers

Answer:

Its -2.125

Step-by-step explanation:

I hope helps!

28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

What is the value of the expression below? 3x + (12 - 3) - x, when x = 2.5 A. 13 B. 14 C. 15 D. 19

Answers

Answer:

The answer to this question is: (B)

Which is "14"

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

HOPE this helped if so PLEASE leave a "Rating" and a "LIke" and PLEASE mark me brainliest if I have the best answer! THANKS! :))))

does anyone know the answer ?

Answers

Answer:

your answer is D.

Step-by-step explanation:

when the square of r crosses over the square will become square-root

A= πr^2

r=√π/A

when A crosses over it has to be under.

Literally the last question pls get it right

Answers

-1 or option c is correct. Use the given functions to set up and simplify f(−2).
it’s -1
when you plug in -2 with the exponent it turns to 4
3-(-2)^2
3-4= -1.

Please help and explain how you got the answer. Im giving out brainliest. || Q3

Answers

Answer:6:8

Step-by-step explanation:

The Answer to the problem is is 6:8

Ellen collected 88 empty cans to recycle,and Carl collected 72 cans. They packed an equal number of cans into each of two boxes to the recycling center

Answers

ellen had 44 per box and carl had 36 per box

but if they had only two boxes altogether then each box had 80 cans in it

What is the answer to this?

Answers

Answer:

dfgv nm./

Step-by-step explanation:

Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not (more than 50% of the time) and deserved a raise, so she randomly selected 50 paychecks (each for one week of work) and found that she had worked overtime in 32 of those weeks. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.

Answers

Answer:

Z statistic = 1.980

Pvalue = 0.024

Step-by-step explanation:

Sample size (n) = number of paychecks = 50

Number of overtime (x) = 32

Let Number of overtime = o

Claim : Overtime work is done more than 50% of the time ;

Null hypothesis:H0: o = 0.5

Alternative hypothesis : H1: o > 0.5

Using the T84 calculator :

Selecting the 1 proportion test under the Stat menu:

p0 = 50% = 0.5

x = 32 ; n = 50 ; >p0

The z test statistic value obtained is 1.980 (3 decimal places)

The P value = 0.024 (3 decimal places)

At α = 0.05 ;

P value < α ; therefore we reject the null

Hence, overtime work is done more than 50% of the time.

A math quiz has 10 questions and is scoreout of 100. Each question is worth the same. The function S (q) represents the quiz score, S, in terms of the number of correctly answered questions, q. Determine whether each statement below is true or false. Select True or False for each stateent.

Answers

Answer:

False

True

True

False

Step-by-step explanation:

got it right on the test

Please please please hellllllppp meeeeee !!!!!!!!!

Answers

ANSWER: 77
Explanation: Making 88 in 8 minutes means that the machine is making 11 per minute thus being said if the machine worked for 7 minutes it would make 77 pens.
88/8=11
11*7=77

The Quality Control Department employs five technicians during the day shift Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.

Technician Shutdown
Taylor 4
Hurley 3
Gupta 5
Rousche 6
Huang 3

Required:
a. How many samples, without replacement, of size two are possible?
b. Compute the mean of the sample means and compare it to the population mean. (Round your answers to 1 decimal place.)

Answers

Solution :

Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.

a). Therefore, 10 different samples are possible of size two.

b).

        Sample                    Shut down         Mean

1. Taylor, Hurley                 4, 3                    3.5

2. Taylor, Gupta                 4, 5                    4.5

3. Taylor, Rousche             4,6                      5

4. Taylor, Huang                4, 3                    3.5

5. Hurley, Gupta                 3,5                       4

6. Hurley, Rousche             3,6                      4.5

7. Hurley, Huang                 3,3                       3

8. Gupta, Rousche              5,6                       5.5

9. Gupta, Huang                  5,3                       4

10. Rousche, Huang            6,3                      4.5  

                                                                        42

Now mean of sample means  [tex]$=\frac{42}{10}$[/tex]    = 4.2

Mean of population is = [tex]$\frac{4+3+5+6+3}{5}$[/tex]    = 4.2

Thus both the means are equal.

Can someone help me with these 2 questions real quick?

Answers

Answer:

<M = 32 and <Y = 103

Step-by-step explanation:

1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32

2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.

I hope this helps! :)

1 should be 45 degrees
2 should be 103 degrees

mark me brainliest if the answer is correct, thank you in advance :)

Assume that you have a choice between a manufacturing job and a sales job. The annual earnings from the manufacturing job will have a normal distribution with a mean of $40 000 and a standard deviation of $9 000. The annual earnings from the sales job will have a normal distribution with a mean of $35 000 and a standard deviation of $9 000. What is the probability that you would earn more than $45 000 per year if you select one or the other

Answers

Answer:

0.42124

Step-by-step explanation:

Manufacturing job :

Mean (m) = 40,000

Standard deviation (s) = 9000

Sales job :

Mean (m) = 35000

Standard deviation (s) = 9000

Probability of earning more than 45000 if one or the other job is selected;

Obtaining the standardized scores and probability for each :

Z = (x - m) / s

P(x > 45000)

Z = (45000 - 40000) / 9000 = 0.5555

= 0.56

P(Z > 0.56) = 0.28774(Z probability calculator)

For sales :

P(x > 45000)

Z = (45000 - 35000) / 9000 = 1.1111111

= 1.11

P(Z > 1.11) = 0.1335 (Z probability calculator)

0.28774 + 0.1335 = 0.42124

Once again Plssssssss Help Meh

Answers

Store C is correct answer

-10 -(-5) can someone answer dis for me please
.

Answers

Answer:

-5

Step-by-step explanation:

yw

Answer:

-5

Step-by-step explanation:

the two minus signs next to each other make it a plus sign so the equation would become

-10 + 5

which is -5

answer ASAP pls
thanks and God bless you

Answers

Answer:

We need to plug in the numbers for x and y into the expression for x and y.

[tex]2x^{2} - y\\\\2(3)^{2} - (-2)\\\\2(3)^{2} + 2\\\\18 + 2\\\\20[/tex]

The simplified answer is 20.

PlEASE HELP ILL GIVE OUT BRAINLEIST

Answers

Try 4 dollars and $.25

i need also need help with this ​

Answers

Answer:

umm you need help with what

Step-by-step explanation:

there is no question

11) It takes you 15 minutes to frost a 2 layer cake. You and a friend have 100 1 point
cakes to frost for the church bake sale. How many hours will it take the two
of you to frost all of the cakes if you work at the same time rate? Hint: It
takes you 15 minutes to frost one cake, you can frost 4 cakes in 1 hr. *
B. 8 hours
O c. 12.5 hours

Answers

Answer:

12.5 hours

Step-by-step explanation:

100/4=25

25/2=12.5

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?

Image of a coordinate grid with point R R located at negative 1, negative 3.
(3 points)

(−1, −3)
(−1, 3)
(5, −3)
(5, 3)

Answers

Answer:

Point R is located at the point (-1,-3)

The car needs to park 6 units above point R.

When you are moving something up or down on the coordinate grid, you are affecting the y- axis. So to find the coordinates we would keep the x value and add 6 to the y value.

Coordinates of the second car

(-1, -3 +6)

(-1 , 3)

The answer to this question is B

Adding a positive to a negative is the same as subtracting.

EX:

We were adding 6 and -3

Adding 6 and -3 is the same as subtracting 3 from 6.

Either way we get the same answer.

B is your answer

Hope this helps!

What is -23/6 - 7/3
A-37/6
B-30/9
C-16/6
D37/6​

Answers

Answer:

A

Step-by-step explanation:

i solved it

Explain how to solve the equation.

B - 7 = 12 ​

Answers

Get the B by itself

So take the -7 and add it to the 12 on the other side

So now we have B = 12 + 7

So now B = 19

And now if we replace B

19-7=12

B=19

Answer:

So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number

Step-by-step explanation:

Have a great day

Other Questions
Plz help!!!!!!!!!!!!!! Will give brainliest! Identify any constraints on the domainEvery day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in minutesChoose the correct answer below.OA. The domain consists of all integers greater than or equal to 10 and less than or equal to 20OB. The domain consists of all integers less than or equal to 20OC The domain consists of all integers greater than or equal to 0OD. The domain consists of all integers greater than or equal to 0 and less than or equal to 20O E. The domain consists of all integers greater than 0 and less than or equal to 20 Which of these men thought the Republic of Texas should remain independent?Sam HoustonJohn TylerMirabeau LamarStephen Austin I need help with these questions How did the Native Americans become 'powerless' according to what wassaid in the text? Explain Cite specific textual evidence. I NEED HELP PLEASE 12/15/2020Identify the Figuartive Language in the following sentence. "And to be out to lunch, to not return messages, and to keep folks on hold until they turn gray and die." A population distribution shows __________. A) the distribution of age groups within a population B) the amount of organisms in a unit area C) the total number of organisms in a population D) where and in what arrangement organisms are located 6th grade math i mark as brainliest Which of the following equations represent linear functions?The picture will be shown What were Martin luthers views about the Bible? What are the products of photosynthesis? A) sunlight, carbon dioxide and waterB) glucose, water and carbon dioxideC) glucose and oxygenD) water and glucose What is the answer to this? 10.0 grams of a gas occupies 12.5 liters at a pressure of 42.0 mm Hg. What is the volume when the pressure has increased to 75.0 mm Hg? 6.72 L 7.00 L 22.3 L 0.143 L Which equations are correct?Select each correct answer.[tex]4c^4(3c^2)=12c^8[/tex][tex]3b^3(2b^4)=6b^12[/tex][tex]5y^4(2y^5)=10y^9[/tex][tex]5x^3(6x^4)=30x^7[/tex] This statement is a lie: "My expedition was the first toreach India."Rewrite the statement to say something that is true.Rewrite statement that is true can someone help me with an assignment? ill post it for a lotta points if you can. our internet went out for a month so i am now a month behind and i just need help with this one assignment. If you can't well, happy holidays! stay safe! plz dont answer if u cant help tho. How are social ethics and family ethich related? What is the equation of the line that passes through the point (-2,-2) and has aslope of 4? What happens when weathering and erosion work together? A.Weathering B.Raining C.Erosion D.breakingBRAINLIEST What is a Nervous Breakdown? Explain?