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kompoz [17]
3 years ago
14

Charlotte bought 16 songs for her MP3 player. Three-fourths of the songs are classical songs. How many of the songs are classica

l songs?
Mathematics
2 answers:
likoan [24]3 years ago
4 0
12 songs because if you look at the problem there is the word “of”. The word of means multiply, so if you make 16 into fraction that is 61/1 and multiply that my 34 the word problem is,16/1 x 3/4= 48/4 and 48 over 4 is equal to 12 and that is 12 songs.
spayn [35]3 years ago
3 0
I think 8 are classical songs
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The highest common factor (HCF) of 140 and x is 20
Zielflug [23.3K]

Answer:

x=60

Step-by-step explanation:

Given that ,

HCF of 140 and x=20,

LCM of 140 and x =420.

Solution:

It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:

140*x= HCF*LCM

Putting in the values provided,

140*x=20*420

140*x=8400

x=8400/140

x=60

Hence the variable x is 60.

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3 years ago
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3 years ago
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A water well rig has dug to a height of -60 feet after one full day of continuous use. if the rig has been running and is curren
Romashka [77]

Given :

A water well rig has dug to a height , H = 60 feet after one full day of continuous use .

To Find :

If the height is currently 143.6 feet how time it been running .

Solution :

It is given that height after 24 hours of use is 60 feet .

So , height loose in 1 hours is :

h=\dfrac{60}{24}\ feet\\\\h=2.5 \ feet

Now , time taken to cover a height of 143.6 feet is :

t = \dfrac{143.6}{2.5}\ hours\\\\t=57.44\ hours

Therefore , time taken is 57.44 hours .

Hence , this is the required solution .

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4 years ago
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Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
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