All categories

3 years ago

Kim has read 35 pages a book. that is 20% of the total number of pages. how many pages long is kim's book?

Mathematics

1 answer:

lozanna [386]3 years ago

5 0

Kim's book has a total of 175 pages. Please let me know if I was right:)

You might be interested in

Heyyy!! I could really use some helps this is really stressing me out and I wonder if anyone could explain this to me

elena-14-01-66 [18.8K]

Answer:35

Step-by-step explanation:

3 0

3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

6 0

3 years ago

Help ASAP CLICK THE PIC

Jet001 [13]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Please help and thank you

ycow [4]

Answer:

D) 130 workers

Step-by-step explanation:

We have the equation, y = 2x + 40, and y, 300 (since the y-coordinate represents the # of bottles made), so we can solve for x, the number of workers needed.

Substitute: 300 = 2x + 40

Subtract: 260 = 2x

Divide: x = 130

Since x = 130 when y = 300, 130 workers are required to make 300 bottles in a day.

4 0

3 years ago

If y=80,when x=32 find x when y=100

Bess [88]

Y X
80 32
100 x'

80x' = 100*32
80x' = 3200
x' = 3200/80
x' = 320/8
x' = 40

5 0

3 years ago