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melomori [17]
3 years ago
11

1. How many one third cup servings are in 6cups of persons?​

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0

Step-by-step explanation:

If the contents of one cup are split up into 3 equal parts, each will be one third of the cup. Each cup has three thirds, Therefore in 6 cups there will be six times as many thirds. We can also calculate by dividing.

I hope it's helpful!

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What number must be added to -9 to equal +4?
Vlad1618 [11]

Answer:

13

Step-by-step explanation:

let the unknown number be <em>x</em>

<em>x + ( - 9) = 4 \\ x - 9 = 4 \\ x = 4 + 9 \\ x = 13</em>

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8 0
2 years ago
Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second. How fast is the radius increasing after 2 minute
Arisa [49]

Answer:

The rate of change of radius is 0.0530 ft/sec.

Step-by-step explanation:

Given : Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.

To find : How fast is the radius increasing after 2 minutes?

Solution :

The volume of the sphere is V=\frac{4}{3}\pi r^3

Differentiating w.r.t. r,

\frac{dV}{dr}=4\pi r^2

We have given, Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.

i.e. \frac{dV}{dt}=3

Integrate w.r.t. t,

V=3t+C

Assuming V=0 when  t=0 then C=0

So, \frac{4}{3}\pi r^3=3t

r^3=\frac{t}{4\pi}

r=\sqrt[3]{\frac{t}{4\pi}}

Now, we apply chain rule

i.e.  \frac{dV}{dt}=\frac{dV}{dr}\cdot \frac{dr}{dt}

3=4\pi(\frac{t}{4\pi})^{\frac{2}{3}}\cdot \frac{dr}{dt}

The radius increasing after 2 minutes i.e. at t=2\times 60=120

3=4\pi(\frac{120}{4\pi})^{\frac{2}{3}})\cdot \frac{dr}{dt}

3=56.56\cdot \frac{dr}{dt}

\frac{dr}{dt}=\frac{3}{56.56}

\frac{dr}{dt}=0.0530

Therefore, the rate of change of radius is 0.0530 ft/sec.

8 0
3 years ago
Paula was standing on top of a cliff 35 feet above sea level. She watched her friend Juan jump from the cliff to a depht of 12 f
DIA [1.3K]
23 feet, I think but I'm not 100% sure
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Fittoniya [83]

The answer would be B

5 0
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Ronch [10]

Answer:

50 out of 100 or 50%

Step-by-step explanation:

the data represents between quartile 3 and quartile 1 (known as the Inter-Quartile Range, IQR) is, theoretically, supposed to represent 50% of all data items

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