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AysviL [449]
3 years ago
13

the ratio of country albums to jazz albums in a music collection is 2:3 . if the music collection has 45 albums, how man are cou

ntry albums?
Mathematics
2 answers:
V125BC [204]3 years ago
4 0
I think it would be 18 because 2:3 times 9 is 27+18
bekas [8.4K]3 years ago
4 0
18 country and 27 jazz
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Given: 2q – r = 4p, 2r = q, r = 2p; Prove: q = r
Gnoma [55]

Answer:

q = r

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given    2q – r = 4p ...(i)

                  2r = q...(ii)

                  r = 2p ...(iii)

Substitute 2r = q in equation (i)

            <em>   2(2r) – r = 4p </em>

                     3 r = 4 p

                 <em>  2 r + r = 4 p</em>

                   2 r + 2 p = 4 p

                  2 r = 2 p

                 <em>  q = r</em>

         

5 0
3 years ago
Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5) pls answer
myrzilka [38]

Answer:

Step-by-step explanation:

Finding an equation of a tangent line to that function requires that we find the derivative of the function at that point. Since this is an absolute value function with its cusp at (2, 5), the function is not differentiable here.

3 0
3 years ago
Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
8 0
3 years ago
Where do i put the parentheses in 4+3x2-4÷2
melamori03 [73]

Answer:

4+(3x2)-4/2

Step-by-step explanation:

pemdas

5 0
3 years ago
If someone could help me that would be great
sasho [114]

Answer:

please mark me as brainlist please

Step-by-step explanation:

Correct option is B)

The circumference of the circle is 96 units.

Therefore, 2π×r=96

⇒r=

2×22

96×7

=15.27 units

Now, in the quadrilateral OLMN,∠OLM+∠LMN+∠MNO+∠NOL=360

o

Given that LM and MN are tangents to the circle, ∠OLM=∠ONM=90

o

∴∠NOL=360−90−90−60=120

o

The length of arc is given by rθ where θ is the angle made by the arc at the centre in radian.

Thus, arc length LN=15.27×

180

120π

=31.98

8 0
3 years ago
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