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Luda [366]
3 years ago
14

A survey reveals 252 out of 350 students in 7th grade like to read. What percent like to read? Write a percent proportion equati

on to solve this question
Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer

72% students likes to read .

Step-by-step explanation:

Let us assume that the percent of student likes to read be x.

As given

A survey reveals 252 out of 350 students in 7th grade like to read.

As Percent is always from 100 percent .

Thus

x is from 100 in case of proportions.

252 students are from 350 students .

Therefore the proportion equations becomes

x : 100 :: 252 : 350

\frac{x}{100}= \frac{252}{350}

Simplify the above

x= \frac{252\times 100}{350}

x= \frac{25200}{350}

x = 72%

Therefore 72% students likes to read .

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If the Volume of a Cylinder is 287 and the radius is 5, what is the height "h"?
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Answer:

3.7 is the height

Step-by-step explanation:

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3 years ago
Newton's law of cooling is:
Mnenie [13.5K]

Answer:

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

\frac{du}{dt}= -k (u-T)

We can reorder the expression like this:

\frac{du}{u-T} = -k dt

We can use the substitution w = u-T and dw =du so then we have:

\frac{dw}{w} =-k dt

IF we integrate both sides we got:

ln |w| = -kt +C

If we apply exponential in both sides we got:

w = e^{-kt} *e^c

And if we replace w = u-T we got:

u(t)= T + C_1 e^{-kt}

We can also express the solution in the following terms:

u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}

For this case we know that k =-0.15 hr since w ehave a cooloing, T_{i}= 70 F, T_{amb}=11F, we have this model:

u(t) = (70-11) e^{-0.15t} +11

And if we want that the temperature would be 32F we can solve for t like this:

32 = 59 e^{-0.15 t} +11

21=59 e^{-0.15 t}

\frac{21}{59} = e^{-0.15 t}

If we apply natural logs on both sides we got:

ln (\frac{21}{59}) =-0.15 t

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So it would takes approximately 6.9 hours to reach 32 F.

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4 years ago
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Answer:

B

Step-by-step explanation:

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distribute

=6+3x

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