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FinnZ [79.3K]
3 years ago
6

Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, wha

t was the original price of the jersey?
Mathematics
1 answer:
lara [203]3 years ago
6 0

Answer:

$30

Step-by-step explanation:

20%=6

5x20%=100%

so

5x6=30

Hope this helps! Thanks.

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A gardener plants 250 sunflower seeds and 210 germinate. Find the probability that a sunflower seed will germinate.
Anni [7]

Answer:

There is a 84% probability that the seed will germinate. (Poor plants)

Step-by-step explanation:

250 = 100%

210 = x

250x = 21000

x = 84

7 0
2 years ago
The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3
Alekssandra [29.7K]

Answer:

9\pi \text{ cubic meters per hour}

Step-by-step explanation:

Since, the surface area of a cylinder,

A= 2\pi r^2 + 2\pi rh  ................(1)

Where,

r = radius,

h = height,

If A= 36\pi\text{ square meters}, h = 3\text{ meters}

36\pi = 2\pi r^2 + 2\pi r(3)

18 = r^2 + 3r

\implies r^2 + 3r - 18=0

r^2 + 6r - 3r - 18 = 0     ( by middle term splitting )

r(r+6)-3(r+6)=0

(r-3)(r+6)=0

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})

∵ h = constant, ⇒ dh/dt = 0,

\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}

We have, \frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}

9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}

9\pi = (12\pi + 6\pi )\frac{dr}{dt}

9\pi = 18\pi \frac{dr}{dt}

\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}

Now,

Volume of a cylinder,

V=\pi r^2 h

Differentiating w. r. t. t,

\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}

6 0
3 years ago
Identify the like terms 3x,4y,4z,5x<br><br> A:4y,5x<br> B:4y,4z<br> C:3x,5x<br> D:3x,4z
fomenos

Answer:

c

Step-by-step explanation:


5 0
3 years ago
A basketball hoop has a circumference of 144 cm.what is its diameter
levacccp [35]
Formula\ for\ circumference \ of\ circle:\ \ \ 2 \pi r\\\\&#10;144= 2 \pi r\ \ \ \ | divide\ by\ 2 \pi\\\\&#10;r=\frac{72}{\pi}cm\\\\diameter=2radius\\\\&#10;diameter=2r=2*\frac{72}{\pi}=\boxed{\frac{144}{\pi}}
8 0
3 years ago
Please help me in here. And thx for da ' help
Ivanshal [37]
No there isn’t enough water, 975 divided by 70 is 13.92 indicating there would only be enough water for 13 experiments and not 15
6 0
3 years ago
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