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3 years ago

..... + ..... x ..... = 1452

Mathematics

1 answer:

hram777 [196]3 years ago

8 0

Answer:

452 + 100 × 10 = 1452

Step-by-step explanation:

There are many possible solutions. This is one of them.

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15/4 plus - 4 1/3 write as a fraction simplest form

AURORKA [14]

Answer: to subtract you need to find the least common denominator and for 4 and 3 that would be 12

15/4 x 3 = 45/12

-4 1/3 = -52/12

45/12 -52/12 = -7/12

-7/12 can’t be simplified any further

therefore

15/4 plus (-4 1/3) = -7/12

Step-by-step explanation:

7 0

4 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 $\frac{dr}{dt}$

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

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4 years ago

If radio station call letters must begin with either K or W and must include either two or three additional? letters, how many d

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

Well. There are many possibilities. There are 26 letters in the alphabet. Take the K and W out. You have 24. So, just go through every letter. Putting them together to make a name, it could be anything really. It might take a while, but write out the alphabet, and see what names you can make starting with K and W. I hope this helped!! :)

6 0

3 years ago

At the basketball game the wild cats made 80%of the 95 shots taken.how man shots did they make

Leona [35]

76 they took 76 basketball shots found by taking 95*.8 which equals 76

5 0

3 years ago

Kaitlyn gave 1/2 of her candy bar to arianna. arianna gave 1/3 of the candy she got from kaitlyn to cameron. what fraction of a

sukhopar [10]

Let the total candy bar be represented by x.

Amount of chocolate Kaitlyn gave to Arianna = $\frac{1}{2}x$

Amount of chocolate Arianna gave Cameron

= $\frac{1}{3}$ rd <span>of the candy she got from Kaitlyn to Cameron

= </span> $\frac{1}{3}$ × $\frac{1}{2}x$

= $\frac{1}{3}* \frac{1}{2} x = \frac{1}{6} x$

Hence, Cameron got $\frac{1}{6}$ th of the original chocolate.

5 0

3 years ago

..... + ..... x ..... = 1452​

..... + ..... x ..... = 1452