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never [62]
2 years ago
9

Im really confused! How do i figure out this problem:

Mathematics
2 answers:
Vesna [10]2 years ago
6 0

Make an equation out of the statement "51 is 6% of what number".

Remember:
-- 6%  means 0.06
-- "is" means the same as "equals"
-- in math, "of" almost always means "times"

Give the answer a label, and you'll be ready to begin.
Let's call it ' M ' for "mystery number".

                       51    is    6%    of    (the answer)

                       51    =   0.06    x         M   

Can you solve that equation and find out what ' M ' is ?

What if you divide each side by  0.06 ?
Then it says
                       51 / 0.06    =    M

Pick up your pencil or your calculator, and divide 51 by 0.06 .
You get  850 .  Now your equation says

                             850  =  M

Isn't that exactly what you want ?
It says 'Mystery number' is  850 .

Try it on your calculator.
Take  6%  of  850 .  You'll get  51, just like the problem says.

EleoNora [17]2 years ago
5 0

<span><span>Okay, so let's start by setting up this problem:
</span>(original number=x)(percentage=.06)=(percentage of original number)</span>
So it should look like this:
<span>(x)(.06)=51 Now we should divide .06 from each side
</span><span>x=850 And there we go! 850 is the answer.
i hope this help
</span>

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sveticcg [70]

Answer:

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2 years ago
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Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

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3 years ago
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2 years ago
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