A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.

Answers

Answer 1

Answer:

[tex]0.00375\ \text{inches}[/tex]

Step-by-step explanation:

Volume of the stack of paper is 140.25 cubic inches

The length and width of the stack will be equal to that of a single sheet of paper so

[tex]l=11\ \text{inches}[/tex]

[tex]w=8.5\ \text{inches}[/tex]

Let [tex]h[/tex] be the height of the stack.

Volume of the stack would be

[tex]lwh=140.25\\\Rightarrow h=\dfrac{140.25}{lw}\\\Rightarrow h=\dfrac{140.25}{11\times 8.5}\\\Rightarrow h=1.5\ \text{inches}[/tex]

So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.

Thickness of one sheet of paper is given by

[tex]\dfrac{1.5}{400}=0.00375\ \text{inches}[/tex]

Hence, the height of each sheet of paper is [tex]0.00375\ \text{inches}[/tex].


Related Questions

HELP ASAP
The factorization of a trinomial is modeled with algebra tiles. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 12 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative. Which trinomial is factored?
x^2 + 3x – 6
x^2 + 5x – 6
x^2 + 3x – 2
x^2 + x – 6

Answers

2rd one I could be wrong tho

Answer:

its A or the first one ;)

Step-by-step explanation:

Find the inverse function in slope-intercept form
f(x)=4/5x-16

Answers

Y intercept slope - 5,0
X intercept slope - 0,-4

A balloon lifts off the ground and reaches a height of 200m. The total mass of the balloon is 1000 kg. What is the GPE of the balloon?

Answers

Answer:

1,960,000Joules

Step-by-step explanation:

Gravitational Potential Energy is expressed as;

GPE = mgh

m is the mass

g is the acceleration due to gravity

h is the height

Given

m = 1000kg

h = 200m

g = 9.8m/s

Substitute;

GPE  = 1000 * 9.8 * 200

GPE = 9800 * 200

GPE = 1,960,000Joules

Hence the GPE of the balloon is 1,960,000Joules

If d = the number of dogs, which variable expression represents the phrase
below?
the sum of the number of dogs and the 6 cats
O A. 046
O B. d+6
O C. d-6
O D. d.6

Answers

Option B. d+6

The number of dogs is a variable expression while the number of cats is a fixed expression

Emily earned $45.50 for 6 hours of work. Harrison
earned $24 for 3 hours of work. Carla earned $36
for 4 hours of work. Who earned the most money
PER HOUR?
:

Answers

Emily earned more

Step-by-step explanation:

45.50 x 6= 273

the value of f(4)

f(x)= (3x+2)/5

plz answer with working

ill give brainilest

Answers

Answer:

14/5

Step-by-step explanation:

Given data

We have the function

f(x)= (3x+2)/5

We want to find  f(4)

Hence, let us place x= 4 in the function

f(4)= (3(4)+2)/5

f(4)= (12+2)/5

f(4)= (14)/5

f(4)=14/5

Hence f(4)=  14/5

what is the answer plz help​

Answers

Answer:

I would say c. Because if you add the 12 to each if the x numbers it adds up to be correct

Answer:

C. y = x + 12

Step-by-step explanation:

As,

y : 14 = 2 (x) + 12

y : 16 = 4 (x) + 12

y : 18 = 6 (x) + 12

y : 20 = 8 (x) + 12

Select all irrational numbers, o​

Answers

Answer:

A & D

Step-by-step explanation:

took

What is the image on segment Oj rotated 270 counterclockwise around point 0?

Answers

Answer:

OL and M

Step-by-step explanation:

(1)

270° ÷ 30° = 9

Count 9 dashed lines from OJ counterclockwise, then

OJ → OL

(2)

120° ÷ 30° = 4

Count 4 dashed lines from R counterclockwise, then

R → M

Help me please ........

Answers

Answer:

Step-by-step explanation:

10. What is 4/5 x 3/7?

Answers

Answer:

12/35

Step-by-step explanation:

you have to just multiply across

[tex] \frac{4}{5} \times \frac{3}{7} = \frac{12}{35} [/tex]

The answer as a fraction is 12/35

The answer as a decimal is 0.343

Which ordered pair is a solution of the equation?
3x+3y=-x+5y

Choose 1 answer:



(Choice A)


Only (1,2)


(Choice B)


Only (2,4)


(Choice C)


Both (1,2)s and (2,4)

(Choice D)


Neither

Answers

Answer:

thee ordered pair was both (1,2) and (2,4)

The foot of a ladder is placed 18 feet from a wall. If the top of the ladder
rests 24 feet up on the wall, find the length of the ladder.
26 feet
27 feet
29 feet
O 30 feet

Answers

Answer:

I'm not sure

I think its 30 or 26

Step-by-step explanation:

Answer:

30 feet

Step-by-step explanation:

The ladder laying against the wall will create a right triangle.

The side lengths will be 18 and 24 and you will solve for the hypoteneuse which will be the length of the latter.

You can use the pythagorean theorm so

[tex]a^{2} +b^{2} =c^{2}[/tex] so you plug in the values

[tex]18^{2}+24^{2} =c^{2} \\324+576=c^{2} \\900=c^{2} \\\sqrt{900} =\sqrt{c^{2} } \\30=c[/tex]

Find the value of x.

Answers

X=4 (Option B)
The “c” is equal to 4sq.root2. In the rules and the diagram attached, the “c” side has the root 2 attached to the a, so the answer is 4.

Find the surface area of a square pyramid with side length 3 cm and slant height 3 cm

Answers

Answer:

Step-by-step explanation:

base length b = 3 in

slant height L = 3 in

base area = b² = 3² = 9 in²

lateral area = 4·½bL = 4·½·3·3 = 18 in²

surface area = base area + lateral area = 27 in²

Bethany has $3.10 in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?

$0.90
$1.30
$1.80
$2.60

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. $1.30

Step-by-step explanation:

Ethan bought a new pack of markers for $3. If he now has spent a total of $24 on art supplies, how much did he spend on supplies before he bought the markers?

Answers

it should be 21 dollars. since he paid a total of 24 including the markers and the markers are 3 dollars, tou would subtract the marker price from the total. 24-3=21

An elephant at an animal sanctuary weighs 5.5 tons. He receives a daily nutritional supplement. The instructions say to give 1 fluid ounce of supplement for every 250 pounds of body weight.

How many fluid ounces of supplement should the elephant receive?

Answers

44 fl oz there are 2000 pounds in a tone for x amount of supplement… ( supplement volume)/(weight in pounds) = x/(5.5*2000)=1/250 multiplied by 11000
x=11000/250=44 fl
Answer:44 fl oz hoped that helped

Step-by-step explanation:

4. On a 3-hour trip, a car travels 156 miles.
What is the average speed of the car on this
trip?

Answers

Answer:

v = 52 mph

Step-by-step explanation:

Given that,

The distance travelled by the car, d = 156 miles

Time, t = 3 hour

We need to find the average speed of the car. The formula for the average speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{156}{3}\\\\v=52\ mph[/tex]

So, the average speed of the car is equal to 52 mph.

One of the legs of a right triangle measures 3 cm and it's hypotenuse measure 5 cm find the measure of the other leg if necessary round to the nearest tenth

Answers

Answer: c=4

Step-by-step explanation:

c^2+3^2=5^2

c^2+9=25

c^2=16

c=4

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

[tex]H^2=B^2+P^2[/tex]

Here given that,

One of the legs of a right triangle measures [tex]3[/tex] cm and it's hypotenuse measure [tex]5[/tex] cm

Let the base of triangle is [tex]x[/tex].

So,

[tex]H^2=B^2+P^2\\\\(5)^2=x^2+(3)^2\\\\25=x^2+9\\\\25-9=x^2\\\\16=x^2\\\\x=4[/tex]

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

To know more about the triangle

https://brainly.com/question/14712269

#SPJ5

can you help me please​

Answers

Answer:

the first one

Step-by-step explanation:

because you would use Pythagorean theorem to find a missing side

the equation would be a^2+b^2= C^2

and ya

the difference between y and 20

Answers

Answer:

y + 20

Step-by-step explanation:

The other numbers are N

N - y = 20

N = y + 20

    OR

y - N = 20

N = y - 20

PLZ Help!!!!!!!! 15 points!!!!!!!!!

Answers

Answer:

X=5+y

Step-by-step explanation:

Since the y variable is being added by 5 each time x goes up the answer is x=5+y

Answer:

1) y = 5x

Step-by-step explanation:

0 x 5 = 0

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

SO y = 5x

Please help! Will mark brainliest

Answers

Answer: The answer would be 2!

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

10

Step-by-step explanation:

you need to group the number with letters at one side so it becomes 5x≤7+3 when 3 crosses th enequality sign it becomes positive so the answer is 5x≤10

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot......

Answers

Answer:

240.6 ft is your answer of your question.

Answer:

240.6 feet

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:

to find x we will use cos function

[tex] \quad \: \cos( \theta) = \dfrac{adj}{hypo} [/tex]

substitute the value of [tex]\theta[/tex] and adj:

[tex] \quad \: \cos( {67}^{ \circ} ) = \dfrac{94}{x} [/tex]

cross multiplication:

[tex] \quad \: x\cos(67^{\circ})= 94 [/tex]

divide both sides by cos(67°) :

[tex] \quad \: \dfrac{x \cos( {67}^{ \circ} ) }{ \cos( {67}^{ \circ} ) } = \dfrac{94}{ \cos( {67}^{ \circ} ) } \\ \therefore \: x = 240.6[/tex]

Which expressions are equivalent to 10a - 25 + 5b

Answers

Answer:Move −25-25.

10a+5b−25

Step-by-step explanation:

Answer:

(-2a +5 - b)(-5)

Step-by-step explanation:

riddle: A cowboy arrived to a town on Tuesday. He spent three days there then left on Tuesday. How? Also i need help simplifying 4y(3+2) + 6x

Answers

Answer:

Hey, Gmmm!

Step-by-step explanation:

1. The horses name was Tuesday

2. 20y+6x

Hope this helps!

Have a nice day♥

Answer:

Tuesday is his horse ; ) and the answer is 6x+20y

Step-by-step explanation:

which one should I choose

Answers

Answer:

Just choose the first one.

Answer:

FE

FG

AB

EG

AC

BC

step by step explanation:

help pls!!! im not sure on this

Answers

Answer:

10

Step-by-step explanation:

The answer is x=10 because you subtract both 80 and 40 from 180 using the triangle sum theorem with than remaining you should have 60. 60= 6x you divide that answer to get 10

A regular size chocolate bar is 5 and 4/9 inches long. If the king size bar is 3 and 2/5 inches longer, what is the length of the king size bar?

Answers

Answer:

8 38/45 inches

Step-by-step explanation:

A regular size chocolate bar is 5 and 4/9 inches long. If the king size bar is 3 and 2/5 inches longer, what is the length of the king size bar?

Let us represent:

Length of regular size chocolate bar = x

Length of king size chocolate bar = y

A regular size chocolate bar is 5 and 4/9 inches long.

x = 5 4/9 inches

If the king size bar is 3 and 2/5 inches longer,

Hence:

y = x + 3 2/5 inches

The length of the king size bar is calculated as:

5 4/9 inches + 3 2/5 inches

(5 + 3) + ( 4/9 + 2/5)

Lowest common denominator = 45

8 + (20 + 18/45)

8 38/45 inches

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