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Karolina [17]
3 years ago
11

What fraction is bigger 1/4 or 16 1/3

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0
16 1/3 is bigger than 1/4
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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
kari74 [83]
The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or 2^6 = 64 miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship x * 2^6 = k, for some constant k. 

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

\dfrac{x}{2^6} =  \dfrac{15x}{y^6}  \\ (x)(y^6)=(2^6)(15x)

Cancelling our x's (because we don't need to solve for them), we have

y^6 = 15(2^6) = 15(64)=960

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

\sqrt[6]{y^6} =  \sqrt[6]{960}

Using a calculator, we see that \sqrt[6]{960} = 3.14 \ miles \ per \ hour.
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3 years ago
Estimate the quotient 2:312
tatuchka [14]
The answer is 160 because 312÷2 equals 156 and 156 is closer to 160 than 150
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WILL MARK BRAINLIEST What is the equation of the line shown in this graph?
barxatty [35]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
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There are 287 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 34 fans?
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9 buses will be needed but 9 bus will be empty there will be very small amount of fans in the 9th bus.

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Which parent functions go through the origin? Select all that apply.
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It also goes from linear too, I don’t know what else sorry
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