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11111nata11111 [884]
3 years ago
9

Chad completed 75% of a book when he read the first 180 pages. How many pages are in the book?

Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

240

Step-by-step explanation:

If 75% is 180, we need to find the remaining 25%.

Obviously, 25 is 1/3 of 75 (and "of" is another word for times) meaning that to find 25%, multiply 75% by 1/3.

Since 75% = 180, we do:

180 x 1/3

60

Now add these two values together to get:

180 + 60 = 240

<u>The answer is 240</u>

<u />

-Xax

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2 years ago
Between which 2 consecutive numbers is radical 46
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3 years ago
PLEASE SHOW WORK
CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

V = \dfrac{\pi}{3}r^2h

Taking the derivative of V with respect to time, we get

\dfrac{dV}{dt} = \dfrac{\pi}{3}\dfrac{d}{dt}(r^2h)

\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)

Since r is always equal to h, we can set

\dfrac{dr}{dt} = \dfrac{dh}{dt}

so that our expression for dV/dt becomes

\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)

\:\:\:\:\:\:\:= \pi r^2\dfrac{dh}{dt}

Solving for dh/dt, we get

\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}

\:\:\:\:\:\:\:= \dfrac{1}{9\pi\:\text{m}^2}(36\:\text{m}^3\text{/s})

\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}

7 0
3 years ago
An average of 145 people visited a 4-day exhibition on the first 3 days. Another 205 people visited the exhibition on the fourth
Alenkinab [10]

Answer:

160 visitors.

Step-by-step explanation:

Given:

An average of 145 people visited a 4-day exhibition on the first 3 days, <u>means here average people visited in 3 days is given 145.</u>

Average = 145

Number of people, n = 3

Another 205 people visited the exhibition on the fourth day.

To find:

What is the average number of visitors per day ?

Solution:

<u>First of all we will find total number of people visited in 3 days:-</u>

As we know:

Average=\frac{Sum\ of\ observation}{number\ of\ observation}

145=\frac{Sum\ of\ observation}{3}\\

Multiplying both sides by 3

145\times3=\frac{Sum\ of\ observation}{3}\times3\\435=Sum\ of\ observations

Thus, we found that total number of people visited in 3 days is 435 and as 205 people visited in fourth day, then total number of people increased to

435 + 205 = 640

Now, sum of total observations( total number of people ) = 640

And number of observation ( number of days ) = 4

Now, we will calculate average number of visitors visit per day :-

Average=\frac{Sum\ of\ observation}{number\ of\ observation}

             =\frac{640}{4} \\=160\ visitors

Thus, the average number of visitors per day is 160 visitors.

             

6 0
3 years ago
I urgently need help!!!!!!
Lera25 [3.4K]

Answer:

You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.

Step-by-step explanation:

Angle 1 + angle 2 = 90

solve for x = ____

Plug the value into each expression to find the measure of each angle.

5 0
3 years ago
Read 2 more answers
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