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Morgarella [4.7K]
3 years ago
10

What is the answer to a small box holds 75% as much as a large box if the small box holds 36 units how much does a large box hol

d
Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

large box will hold 48 units.

Step-by-step explanation:

Let the holding capacity of large box = x

According to given scenario:

75% of x = 36

0.75 x = 36

Dividing both sides by 0.75 we get:

x = 36/0.75

x = 48 units

So the large box will hold 48 units.

i hope it will help you!

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3 years ago
Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. At what rate (in feet per hour) is the radius of the balloon
bija089 [108]

Answer:

This is the rate at which the radius of the balloon is changing when the volume is 300 ft^3 \frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \:\frac{ft}{h}  \approx -0.05537 \:\frac{ft}{h}

Step-by-step explanation:

Let r be the radius and V the volume.

We know that the gas is escaping from a spherical balloon at the rate of \frac{dV}{dt}=-12\:\frac{ft^3}{h} because the volume is decreasing, and we want to find \frac{dr}{dt}

The two variables are related by the equation

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

taking the derivative of the equation, we get

\frac{d}{dt}V=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4}{3}\pi (3r^2)\frac{dr}{dt} \\\\\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}

With the help of the formula for the volume of a sphere and the information given, we find r  

V=\frac{4}{3}\pi r^3\\\\300=\frac{4}{3}\pi r^3\\\\r^3=\frac{225}{\pi }\\\\r=\sqrt[3]{\frac{225}{\pi }}

Substitute the values we know and solve for \frac{dr}{dt}

\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=-\frac{12}{4\pi (\sqrt[3]{\frac{225}{\pi }})^2} \\\\\frac{dr}{dt}=-\frac{3}{\pi \left(\sqrt[3]{\frac{225}{\pi }}\right)^2}\\\\\frac{dr}{dt}=-\frac{3}{\pi \frac{225^{\frac{2}{3}}}{\pi ^{\frac{2}{3}}}}\\\\\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \approx -0.05537 \:\frac{ft}{h}

7 0
4 years ago
How do I solve 9x-4= -44​
gulaghasi [49]
9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...
6 0
3 years ago
Doing a test and timed so please help1
max2010maxim [7]

Answer:

20

Step-by-step explanation:

The hypotenuse is always the largest number and side length in a right triangle. We know the answer is 20 because it is the largest number.

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3 years ago
2x + 7 &gt; 20<br> x is an integer.<br> Find the smallest value of x.
prisoha [69]

Answer:

Step-by-step explanation:

2x + 7 > 20

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4 0
3 years ago
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