Michael plays 1/5 of a song in 1/15 pf a minute. How many minutes will it take to play whole song

Answers

Answer 1
well, a whole will be five fifths or 5/5.

now, he only plays 1/5 in 1/15, how many minutes will it take to play the whole 5/5 of the song?

[tex]\bf \begin{array}{ccll} \stackrel{part}{song}&\stackrel{part}{minutes}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{5}&\frac{1}{15}\\\\ \frac{5}{5}&m \end{array}\implies \cfrac{\frac{1}{5}}{\frac{5}{5}}=\cfrac{\frac{1}{15}}{m}\implies \cfrac{\frac{1}{5}}{\frac{5}{5}}=\cfrac{\frac{1}{15}}{\frac{m}{1}}\implies \cfrac{1}{5}\cdot \cfrac{5}{5}=\cfrac{1}{15}\cdot \cfrac{1}{m}[/tex]

[tex]\bf \cfrac{1}{5}=\cfrac{1}{15m}\implies 15m=5\implies m=\cfrac{5}{15}\implies m=\stackrel{\textit{minutes}}{\cfrac{1}{3}}[/tex]

Related Questions

Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Answers

[tex]\bf \begin{cases} f(x)=x^2+3\\\\ g(x)=x+\cfrac{4}{3} \end{cases} \\\\\\ \boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}} \\\\\\ f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3 \\\\\\ f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3 \\\\\\ f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9} \\\\\\ f(~~g(2)~~)=\cfrac{127}{9}[/tex]

Drag the correct tiles that match.?

Answers

<DFA = 180 -(66+56) = 58

<EOB = 360- (90+90+58) = 122

<COB = 360 - (90+90+66) = 114

<COE = 360 - (90+90+56) = 124 so arcCE = 124
answer
<DFA =  58
<EOB = 122
<COB = 114
arc CE = 124


The graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?

Answers

reflect across y axis means that you replace x with -x

f(-x)=2(-x)=-2x
g(x)=-2x
de graph is the one that passes through (0,0) and (1,-2) and -1,2)

Answer:

The answer is option two on the quiz. The graph is asking us to reflect the given graph over the y-axis. Therefore, the only one that matches is the second option. The graph that passes through (0,1), (-1,2), and (0,5)



Sara set off on a bicycle trip at 6:30 am at an average rate of 24 miles per hour. Her friend, Jayne, promised to bring her some lunch, and she set off by motorcycle 2 hours after Sara left, driving at an average speed of 40 miles per hour. At what time did Jayne catch up with Sara?

Answers

8:45. The two friend's caught up with each other at 8:45

Tatiana wants to give friendship bracelets to her 32 classmates. She already has 5 bracelets, and she can buy more bracelets in packages of 4.

Answers

what's the answer choices?

i dont know but good luck son

Find all real zeros of the function y=-7x+8

Answers

This equation is a line so we expect it to cross at least once.
Set y=0 since on the x-axis y=0 and that is where we need to see when it crosses or touches.

y=-7x+8
0=-7x+8
-8+0=-7x+8-8
-8=-7x
-8/-7=-7x/-7
8/7=x
Real zeros 8/7

The zero of the function y = -7x + 8 is 8/7.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = -7x + 8

y = 0 to find the zeroes.

0 = -7x + 8

7x = 8

x = 8/7

Thus,

The zero of the function is 8/7.

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Find the length of l on the curve r(t)=5cos(3t)i-5sin(3t)j+3tk over the interval [3,7]

Answers

[tex]\mathbf r(t)=5\cos3t\,\mathbf i-5\sin3t\,\mathbf j+3t\,\mathbf k[/tex]
[tex]\mathrm d\mathbf r(t)=\mathbf r'(t)\,\mathrm dt=(-15\sin3t\,\mathbf i-15\cos3t\,\mathbf j+3\,\mathbf k)\,\mathrm dt[/tex]

[tex]\displaystyle\int_C\mathrm d\mathbf r(t)=\int_{t=3}^{t=7}\|\mathbf r'(t)\,\mathrm dt\|=\int_{t=3}^{t=7}\sqrt{225\sin^23t+225\cos^23t+9}\,\mathrm dt[/tex]
[tex]=\displaystyle3\sqrt{26}\int_{t=3}^{t=7}\mathrm dt[/tex]
[tex]=12\sqrt{26}[/tex]
Final answer:

To find the length of the curve, use the formula for arc length and integrate over the given interval. The integrals can be calculated using the derivatives of the curve's components.

Explanation:

To find the length of the curve, we need to calculate the arc length. The formula for arc length is given by:

L = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt

In this case, dx/dt = -15sin(3t), dy/dt = -15cos(3t), and dz/dt = 3. We can use these formulas to calculate the integrals over the interval [3, 7] and find the length of the curve.

An equation of the form ax+b=0 is called a​ __________ equation or a​ ________________ equation.

Answers

a slope intercept equation, or a straight line.

Answer:

Sloose intercept or a strait line

Step-by-step explanation:

Evaluate the following expression. 10−9×5+6×(−2)

Answers

According to the order of operations, evaluate all multiplication first.
10-45+-12

Then add and subtract from left to right
-35-12
-47

Final answer: -47

twelve is six times the difference between a number and three. find the number.

Answers

12=6(x-3)
12=6x-18
30=6x
5=x

a plane flies 1440 miles at a speed of 240mph how long does it take

Answers

We will use the formula: Time = Distance/Speed.

We know that the distance is 1440 miles, and the speed is 240 mph.

We can put them in our formula: Time = 1440/240 = 6 hours or (6x60) = 360 minutes.

Speed = 

240 = 

Rearrange;

time = 

time = 6 hours

Can you please explain how the answer is 24 for this Problem 60÷5(7-5)

Answers

do order of operations:

60 / 5*(7-5)=

 do parenthesis first: 7-5=2

60 / 5*2 =

 now do division: 60/5 =12

12*2 =

now multiply: 12 *2 = 24

answer is 24

Earth travels about 10^9 kilometers in its year-long orbit around the sun. About how far does it travel in 100 years?

Answers

100 = 10^2

 so 10^9 * 10^2 = 10^11 kilometers in 100 years

When does a barbershop Quartet have 16 legs

Answers

haha two chairs will hive eight more legs to the quartet.

A traditional barbershop quartet has 8 legs since it consists of four people. Female quartets exist alongside male quartets, with popular female groups like The Sweet Adelines International and The Chordettes. The scenario of a quartet having 16 legs is hypothetical and humorous, similar to a comedic tale from 'Only Fools and Horses' regarding a constantly replaced broom.

The question "When does a barbershop quartet have 16 legs?" seems to contain a riddle rather than a direct inquiry into the makeup of a barbershop quartet. Traditionally, a barbershop quartet comprises four individuals, each with two legs, totaling eight legs. This would shift to 16 legs if the quartet consisted of eight people. However, if we're speaking about the traditional four-person quartet, they would only have 16 legs if each member had four legs, which is not characteristic of human anatomy.

It is important to clarify that despite the common misconception that barbershop quartets are exclusively male, there are female quartets as well, such as those associated with The Sweet Adelines International or popular groups like The Chordettes. Neither of these situations normally results in 16 legs unless for comedic or hypothetical scenarios, akin to the tale shared in the comedy "Only Fools and Horses" where Trigger's broom maintains the same identity despite numerous replacements of its parts.

Examples in Pop Culture and Misconceptions

A blend of humor and play on the concept of identity similar to the aforestated barbershop quartet conundrum is seen in the television sitcom "Only Fools and Horses," where a character humorously remarks on the extensive replacement of broom parts, posing a philosophical question of identity and perception.

What is 8.478 in expanded form

Answers

Expanded form is the way of writing numbers to see the mathematical value of each individual digit. So the expanded form of 8.478 is 8+0.4+0.07+0.008
8+.4+.07+.008 is the answer

A pair of fair dice is rolled.
a. What is the probability of rolling a sum of 9?
b. What are the odds against rolling a sum of 9?

Answers

a) 4/36, or 1/9
b) 1-1/9=8/9
Sample space={6 x 6} = 36 possible outcomes:

Favorable outcome {(3+6),(4+5),(5+4),(6+3) = 4 favorable outcome:

P(getting a sum = 9) = 4/36 = 1/9 = 0.1111

the odds  AGAINST = the number of failure/number of success

the odds  AGAINST = 1/9

Catherine likes to go ice fishing. She has learned from experience that she stays warm about 20 minutes for every undershirt she wears. If she wants to stay out for 120 minutes, how many undershirts should she put on?

Answers

She needs to wear 6 undershirts

Answer:

She need to put on 6 underpants

Step-by-step explanation:

She has learned from experience that she stays warm about 20 minutes for every undershirt she wears.

Time warmed by 1 undershirt = 20 minutes.

Total time she wants to stay out = 120 minutes

Number of underpants required [tex]=\frac{120}{20}=6\texttt{ underpants}[/tex]

So she need to put on 6 underpants

Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m.

Answers

5m + 3n + p -5p + 3n + 2n - m
= 4m + 8n - 4p


Answer:

4m+8n -4p

Step-by-step explanation:

hello

you can just sum like a normal addition, just put  similar terms on each other

       5m   + 3n    +p

                +3n    -5p  (second expression)

        -m    +2n            ( third expression)

    _____________

 (5-1)m  (3+3+2)n+(1-5)p = 4m+8n -4p

I hope it helps you

Have a great day

How do the number line graphs of the solutions sets of mc011-1.jpg and mc011-2.jpg differ? One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint. They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but they use arrows that point in the same direction. They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles

Answers

A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.

Answer:A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.




A square pyramid has a height h and a base with side length b. The side lengths of the base increase by 50%. Write a simplified expression that represents the volume of the new pyramid in terms of b and h.

Answers

Final answer:

The volume of the new pyramid, after a 50% increase in base side length, is expressed as V = 0.75b²h. This comes from applying the formula for the volume of a square pyramid and substituting the new base length of 1.5b into the formula.

Explanation:

The student is asked to write a simplified expression for the volume of a new pyramid after the side lengths of the base increase by 50%. The formula for the volume of a square pyramid with a base side length b and height h is V = (1/3)b²h.

When the side lengths of the base increase by 50%, the new base side length becomes 1.5b. Plugging this into the volume formula, we have:
V' = (1/3)(1.5b)²h
 = (1/3)(2.25b²)h
 = (2.25/3)b²h
 = 0.75b²h

This is the simplified expression for the volume of the pyramid after the increase in base side length.

The volume of the new pyramid is [tex]\(0.75b^2h\), where \(b\)[/tex] is the base side length and [tex]\(h\)[/tex] is the height.

To find the volume of a square pyramid, we use the formula:

[tex]\[ V = \frac{1}{3} \times (\text{area of base}) \times \text{height} \][/tex]

For a square pyramid, the area of the base is [tex]\( b^2 \), where \( b \)[/tex] is the side length of the base.

So, the volume [tex]\( V \)[/tex] of the original pyramid can be written as:

[tex]\[ V = \frac{1}{3} \times b^2 \times h \][/tex]

Now, if the side lengths of the base increase by 50%, the new side length of the base becomes [tex]\( 1.5b \)[/tex] (since increasing by 50% is the same as multiplying by [tex]\( 1.5 \))[/tex].

Therefore, the new area of the base is [tex]\( (1.5b)^2 = 2.25b^2 \).[/tex]

So, the volume \( V' \) of the new pyramid can be written as:

[tex]\[ V' = \frac{1}{3} \times (2.25b^2) \times h \][/tex]

[tex]\[ V' = \frac{2.25}{3} \times b^2 \times h \][/tex]

[tex]\[ V' = 0.75 \times b^2 \times h \][/tex]

So, the simplified expression representing the volume of the new pyramid in terms of [tex]\( b \) and \( h \) is \( 0.75b^2h \)[/tex].

A certain recipe calls for 2/3 cup of flour. A chef is making an amount that is 3/7 of the recipe . How much should flour should the chef use?

Answers

2/7 cup of flour



Simply multiply 2/3 by 3/7 to get the answer. To multiply 2 fractions together, you multiply the numerators together and then multiply the denominator together.



2/3 x 3/7 = 6/21



But 6/21 can be expressed in a simpler fashion. Notice that both 6 and 21 can be evenly divided by 3. So divide both the numerator and denominator by 3

(6/3)/(21/3) = (2)/(7) = 2/7

How do you subtract 7.6 from 20.39

Answers

7.6 subtract from 20.39 = 

20.39 -7.6

your answer is 12.79

hope this helps
[tex]20.39 -7.6 = 12.79 [/tex]

Simplify
19 - 1.67 + (-2.4)

Answers

19 - 4.07

14.93

hope this helps

Find the four real zeros of the polynomial. f(x) = x4 + 6x3 - 3x2 -52x - 60
A. 2, -2, -5, -3
B. -2, -2, -5, 3
C. -2, -2, 5, 3
D. 2, -2, -5, 3

Answers

The function is 

[tex]f(x)=x^4+6x^3-3x^2-52x-60[/tex]

The "zeros" of a function, are the values of x, for which f(x)=0


According to the "Rational Root Theorem", the rational roots of f, are factors of 60.

That is, when trying to find the roots of a polynomial function, it is a very good idea to first check the factors of the constant term.


All numbers shown in the choices are factors of 60, so we will solve the problem by trial:


[tex]f(2)=2^4+6\cdot2^3-3\cdot2^2-52\cdot2-60=16+48-12-104-60 \neq 0[/tex]

2 is not a root, so we eliminate choices A and D, 

Choices B and C are almost equal, with only 1 different number, so let's check whether 5 is a root or not:


[tex]f(5)=(5)^4+6\cdot(5)^3-3\cdot(5)^2-52\cdot(5)-60[/tex]

[tex]=625+750-75-160-60=60[/tex]


but 

[tex]f(-5)=(-5)^4+6\cdot(-5)^3-3\cdot(-5)^2-52\cdot(-5)-60[/tex]

[tex]=625-750-75+160-60=0[/tex]

So the right choice is B
Final answer:

To find the zeros of the polynomial f(x) = x^4 + 6x^3 - 3x^2 -52x - 60, we can test different values and find that x = 2, -2, -5, -3 are the four real zeros.

Explanation:

To find the zeros of the polynomial f(x) = x^4 + 6x^3 - 3x^2 -52x - 60, we need to solve the equation f(x) = 0. We can do this by factoring or using synthetic division. By testing different values, we find that x = 2, -2, -5, -3 are the four real zeros of the polynomial. Therefore, the correct answer is A. 2, -2, -5, -3.

simplify 5 + 4 • (8 – 6)2

Answers

9x4 is the is the simplified answer

A one-minute advertisement on a local television station during prime time (8-10p.m.) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis.

Answers

To determine the cost per second can be calculated by converting the given unit in terms of second. The conversion factor that will be used is 1 minute is equal to 60 seconds. Also, use proper dimensional analysis as shown below.

      R = ($12,800 / minute) (1 minute / 60 seconds)
           R = $213.33/seconds

Therefore, one second of advertisement during prime time costs $213.33. 

You have $37 to spend at the music store. Each cassette tape costs $10 and each CD costs $13. Write  a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.

Answers

13x+10x=37

13 times how ever many CD's plus 10 times how ever many cassettes has to equal to the amount of money that you have to spend that's $37 


Imagine a model shaded to show 0.001 How much would be shaded?

Answers

A model being 0.001 shaded would be 0.1% or 1/1000 of the whole model. 1 would equal the whole model being shaded, but that’s not the case. Instead, it’s in the thousandths, so that’s 1/1000 or 0.1% of the whole model shaded.

A model being 0.001 shaded would be 0.1% or 1/1000 of the whole model.

How to identify the place value of a digit in a number?

The place values on left of decimal point start as ones, tens, hundreds, and so on.....

The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on....

The tens means multiply by 10..

The tenth means tenth part of that digit which is that digit divided by 10...

A model being 0.001 shaded would be 0.1% or 1/1000 of the whole model.

One would equal the whole model being shaded, but that’s not the case. Instead it is in the thousandths,

So, that’s 1/1000 or 0.1% of the whole model shaded.

Therefore, A model being 0.001 shaded would be 0.1% or 1/1000 of the whole model.

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Sari has 3 times as many pencil erasers as Sam. Together they have 28 erasers. How many erasers does Sari have?

Answers

Sari has 21 pencil erasers.

let x represent the amount of erases Sam has

3x + x = 28

4x = 28

4x/4 = 28/4

x = 7

Sam has 7 erasers and Sari has 3 times more than Sam.

so 7 x 3 =21
Sari has 21 eraser because if Sam has 7 then sari has 3 times as much so 7 times 3 is 21 then 21 +7 because Sam has 7



Answer: Sam has 21 eraser i believe so

There is an alien machine which produces seven aliens every two seconds. At this rate how many aliens will produces in one hour?

Answers

well, there are 60 minutes in 1 hour, and there are 60 seconds in 1 minute, so in 60 minutes, there are 60 * 60 seconds, or 3600 seconds in 60 minutes, or 1 hour, therefore, in 1 hour there are 3600 seconds.

the machine makes 7 aliens in 2 seconds, how many will it make in 3600 seconds?

[tex]\bf \begin{array}{ccll} aliens&seconds\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 7&2\\ a&3600 \end{array}\implies \cfrac{7}{a}=\cfrac{2}{3600}\implies \cfrac{7\cdot 3600}{2}=a[/tex]

that many.
There are 3600 seconds in one hour.

Set up a proportion.

Let A = number of aliens in one hour

7/A = 2/3600

2A = 7(3600)

2A = 25,200

A = 25,200 ÷ 2

A = 12,600

So, 12,600 aliens are produced in one hour.
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