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AleksandrR [38]
3 years ago
14

Kelly has 4 times as many songs on her music

Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

<h2>248 Songs</h2>

Step-by-step explanation:

<h3>Step 1; Set up an equation</h3>

4l + 6l + l = 682

<h3>Step 2: Add like terms</h3>

11l = 682

<h3>Step 3: Divide by 11</h3>

l = 62

Lou has 62 songs

<h3>Step 4: Multiply by 4</h3>

Kelly has 248 songs

<h3>Step 5: Check</h3>

Kelly has 248 songs

Lou has 62 songs

Tiffany has 372 songs

Is 248 4 times 62? ✔

Is 372 6 times 62? ✔

Is 248 + 372 + 62 = 682? ✔

<h3>Step 6: Answers</h3>

Kelly has 248 songs

Lou has 62 songs

Tiffany has 372 songs

I'm always happy to help :)

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How do u compare rate of change and slope help plz
antoniya [11.8K]

Step-by-step explanation:

The slope is described by the the initial and final value of one quantity over the difference between the initial and final of the other

Rate: for points on a Cartesian plane,(x1, y1) and (x2, y2)

the slope, m= (y2 - y1)/(x2 - x1)

The rate of change on the other hand is mostly refers to how much a quantity is changing with time i.e the rate of change of y from y1 to y2 can be expressed as

rate = (y2 - y1)/(t2 - t1)...where t1 and t2 are the various time in y1 and y2 respectively...

4 0
3 years ago
(X-2) is a factor of x^4+2x^3-7x^
zysi [14]

Answer:

x−2x4+2x3−7x2−8x+12=x3+4x2+x−6

The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have

\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3

Finally, we can factorize the remaining quotient easily:

x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)

so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .

6 0
3 years ago
A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

W=\int dFdx (1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

W=450\pi \int_{0}^{8}dy(8-y)

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W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

W=450\pi(8*8 -\frac{8^{2}}{2})

W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

6 0
3 years ago
Match the part of the circle with the term that best describes it.​
nordsb [41]
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J: center
MH: radius
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6 0
2 years ago
Which expression is equivalent to 4 (x+3)?
Reika [66]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
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