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3 years ago

If I can read 30 paged in a hour. how long will it take for me to read 230 pages?

Mathematics

2 answers:

zvonat [6]3 years ago

6 0

Im guessing 20 hours

MAXImum [283]3 years ago

4 0

Seven hours and 40 minutes.

You might be interested in

Subtract:<br> (-4x-7)-(-5x-2)

Pepsi [2]

I hope this helps you

-4x-7+5x+2

x-5

4 0

3 years ago

You are creating an open top box with a piece of cardboard that is 16 x 30“. What size of square should be cut out of each corne

Arada [10]

Answer:

$\frac{10}{3} \ inches$ of square should be cut out of each corner to create a box with the largest volume.

Step-by-step explanation:

Given: Dimension of cardboard= 16 x 30“.

As per the dimension given, we know Lenght is 30 inches and width is 16 inches. Also the cardboard has 4 corners which should be cut out.

Lets assume the cut out size of each corner be "x".

∴ Size of cardboard after 4 corner will be cut out is:

Length (l)= $30-2x$

Width (w)= $16-2x$

Height (h)= $x$

Now, finding the volume of box after 4 corner been cut out.

Formula; Volume (v)= $l\times w\times h$

Volume(v)= $(30-2x)\times (16-2x)\times x$

Using distributive property of multiplication

⇒ Volume(v)= $4x^{3} -92x^{2} +480x$

Next using differentiative method to find box largest volume, we will have $\frac{dv}{dx}= 0$

$\frac{d (4x^{3} -92x^{2} +480x)}{dx} = \frac{dv}{dx}$

Differentiating the value

⇒ $\frac{dv}{dx} = 12x^{2} -184x+480$

taking out 12 as common in the equation and subtituting the value.

⇒ $0= 12(x^{2} -\frac{46x}{3} +40)$

solving quadratic equation inside the parenthesis.

⇒ $12(x^{2} -12x-\frac{10x}{x} +40)$ =0

Dividing 12 on both side

⇒ $[x(x-12)-\frac{10}{3} (x-12)]$ = 0

We can again take common as (x-12).

⇒ $x(x-12)[x-\frac{10}{3} ]$ =0

∴ $(x-\frac{10}{3} ) (x-12)= 0$

We have two value for x, which is $12 and \frac{10}{3}$

12 is invalid as, w= $(16-2x)= 16-2\times 12$

∴ 24 inches can not be cut out of 16 inches width.

Hence, the cut out size from cardboard is $\frac{10}{3}\ inches$

Now, subtituting the value of x to find volume of the box.

Volume(v)= $(30-2x)\times (16-2x)\times x$

⇒ Volume(v)= $(30-2\times \frac{10}{3} )\times (16-2\times \frac{10}{3})\times \frac{10}{3}$

⇒ Volume(v)= $(30-\frac{20}{3} ) (16-\frac{20}{3}) (\frac{10}{3} )$

∴ Volume(v)= 725.93 inches³

6 0

3 years ago

What is the value of x ? 6.75 + 3/8x = 13 1/4

Bad White [126]

Let's solve your equation step-by-step.

6.75+38x=1314

Step 1: Simplify both sides of the equation.

38x+6.75=534

Step 2: Subtract 6.75 from both sides.

38x+6.75−6.75=534−6.75

38x=132

Step 3: Multiply both sides by 8/3.

(83)*(38x)=(83)*(132)

x=523

Answer:

x=1713

7 0

3 years ago

Please give the right answer and show work if possible

balandron [24]

Answer:

Step-by-step explanation:

Sin 64=23/a. Let use trig identities to find other points

First, since sin and cos like are complementary angles we can use this formula

$\sin(x) = \cos(y) \: \: \: x + y = 90$

sin 64=23/a

$64 + x = 90$

$x = 26$

So cos 26=sin 64 so B is a answer

3 0

3 years ago

In 2015, there were approximately 33,400 firearm fatalities (homicide and suicides) Express this quantity in deaths per hour

cestrela7 [59]

8765.82 are how many hours there are in a year take that divided by 33400 and you get 3.81025392 or rounded up it would be 4 deaths per hour or just 3.8 per hour

4 0

3 years ago