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.
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].
what's
[tex] \sqrt{11 \times 3 + 3} [/tex]
Answer:
6 Ans .......
Step-by-step explanation:
Data:
√11 x 3+3
Solution:
=√11 x 3+3
=√33+3
= 6 Ans .........
Take 85 POINTS!!!! PLEASE HELP JUST LOOK THE PICTURE
Answer: the person above has it
Step-by-step explanation:
how much would 15 ears of corn would cost if they each are $1.07
Answer:
$16.05
Step-by-step explanation:
1.07*15
Answer:
16.05
You can do repeated addition for this, just keep adding 15, till you get 16 which is your answer, multiply.
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Answer:
Step-by-step explanation:
i posted this on accident
Another word one! Please help only if you know, thank you!
Answer:
Step-by-step explanation:
if C is the right angle,
AB is the hypotenuse
AB^2=AC^2+BC^2
AC^2=13^2-5^2
AC^2=169-25=144
AC=[tex]\sqrt{144}[/tex]=12
AC=12
What is the volume of a sphere with a radius of 6in? Round to the nearest hundredth. Remember V = 4/3πr3 * 20 points 457.86 inches cubed 394.56 inches cubed 904.78 inches cubed 807.78 inches cubed
Given:
The radius of the sphere is 6 in.
To find:
The volume of the sphere.
Solution:
We know that, the volume of a sphere is
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Where, r is the radius of the sphere.
Putting r=6, we get
[tex]V=\dfrac{4}{3}\pi (6)^3[/tex]
[tex]V=\dfrac{4}{3}\pi (216)[/tex]
[tex]V=288\pi[/tex]
[tex]V\approx 904.78[/tex]
The volume of the sphere is 904.78 inches cubed.
Therefore, the correct option is C.
A shop in the mall is 7 metres by 12 metres. How much would it cost to recarpet the shop with the carpet that costs £4 per square metre
Answer:
£336
Step-by-step explanation:
cost of recarpeting = area of the shop x cost per square meter
Area of a rectangle = length x breadth
7 x 12 = 84m^2
cost of recarpeting = 84m^2 x 4 = £336
if 24 golf balls weigh 2 1/4 pounds, how much would 60 golf balls weigh
Answer:
5.625 pounds or 5 5/8 pounds
Step-by-step explanation:
(2 1/4)/24 = weight of one golf ball = 0.09375
0.09375 x 60 = 5.625 pounds or 5 5/8 pounds
Answer:
5.625 pounds or 5 5/8 pounds as a fraction
Step-by-step explanation:
plz amswer this for me
Answer:
$5
Step-by-step explanation:
$14 x 30% (0.30) = $4.2
$14 + $4.2 = $18.2
[tex]\frac{18.2}{4}[/tex] = 4.55
Round to the nearest dollar:
4.55 = 5
What two integers are between 50
Answer:
7 and 8!
Step-by-step explanation:
Help me Please. This Due Today.
Answer:
1/8
Step-by-step explanation:
As you can see, I unit fraction is 1/8 or any fraction with a one mostly because unit means 1.. always remember that!
PLSSS HELP GEOMETRY!!! LOOK AT IMAGE!
Answer:JI=16, JH=15, <W=37, <J=114, <I= 29
Step-by-step explanation:
When naming congruent triangles, the corresponding points are named in order from one triangle to another.
Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.
JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.
To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.
37+114+<I= 180. Combine like terms.
151+<I=180. Subtract 151 from both sides.
<I= 29
Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.
Answer: Carlo is incorrect
Step-by-step explanation:
3000/(2+3) = 600 (each ratio)
2:3 = 2(600):3(600) = 1200:1800
1200/6 = 200 small boxes
1800/20 = 90 large boxes
290 boxes altogether (large and small)
(large boxes/boxes altogether)x100
(90/290)x100 = 31%
31%>30%
Therefore Carlo is incorrect
XYZ is a triangle in which XY = 11 centimeters and YZ = 15 centimeters. The length of XZ is in whole centimeters and is greater than 20 centimeters. What are the possible lengths of XZ?
Answer:
Possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
Step-by-step explanation:
According to triangle inequality theorem,
length of one side is less than the sum of remaining two sides.
Also,
[tex]XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm[/tex]
Therefore,
[tex]20<XZ<15+11\\20<XZ<26[/tex]
The length of [tex]XZ[/tex] is in whole centimeters.
Therefore, possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
help please i rlly need it
Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x greater-than 2 represents the situation. Which graph represents the inequality?
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded.
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.
Answer:
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
Step-by-step explanation:
x > 2 is the inequality
It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2
------------------
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
Yes, this is the correct option
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded.
No, it should be right not left
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.
No, it should be open circle as 2 is not included
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.
No, it should be open circle and right side to be shaded, not left
Step-by-step explanation:
The correct graph that represents the inequality "x > 2" is:
a) A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
In the inequality "x > 2," the symbol ">" represents "greater than." This means that we are looking for values of x that are greater than 2.
On a number line, we can represent all the possible values of x. The number line given in option a) ranges from negative 3 to positive 7, covering a range of values.
To represent the condition that x is greater than 2, we need to place a circle on the number line at the value 2.
Since the inequality is strict ("x > 2"), we use an open circle at 2.
An open circle indicates that the point 2 itself is not included in the solution.
Finally, everything to the right of the open circle should be shaded to indicate that any value greater than 2 is a solution to the inequality.
This shading represents all the values of x that satisfy the inequality "x > 2."
Therefore, option a) is the correct graph that represents the inequality "x > 2."
Learn more about inequality click;
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I’ll give brainliest!! Plz answer!
Look at the image for the question
HENCE , ANSWER IS,8/9
mark me as brainlist
negative 7 over 3, the whole multiplied by x minus 3 equals negative 52
Answer:
21
Step-by-step explanation:
NEED HELP!! ASAPPP PLEASEEE 20 POINT Which values are the solutions to the inequality below?
Answer:
81 is the right answer of your question
PLZZZZ HELP ME WITH THIS QUESTION WITH AN EXPLANATION
Answer :
Given : A and B are complementary angles. B and C are complementary angles.
Prove : A C
I have attached a picture of me doing it. Hope this helps, thank you :) !!
Hi i have this class work of my cousing
but i need some help beacause i forgot this
the first question is 5_8
Answer:
5 < 8
-4 < 0
0 < 4
-5 < 5
-9 > -19
-5 > -8
Step-by-step explanation:
Remember, the "Alligator" or better known as the "Packman" symbol ( > < )
It will always want to "eat" the bigger number. so, 8 is bigger than five, so the "Packman" will want to go after the bigger number. 5 < 8
Write a story problem to go with the multiplication problem 3 x 7/8.
Then, solve the problem.
I need help with these questions (see image). Please show workings.
Answer:
Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.As per above two statements we have:
y = 2*58° = 116°and
z = 90°/2 = 45°Answer:
y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle
z=90/2=45
inscribed angle is half of central angle of the cyclic quadrilateral
Someone help please
Answer:
A=(b^2)h/2
Step-by-step explanation:
1. What is the greatest common factor of
6x2 – 3x + 18?
a. 3
b. 3x
C. 6x
d. There is no GCF
Answer:
a. 3
Step-by-step explanation:
[tex]6 {x}^{2} - 3x + 18 \\ \\ = 3(2 {x}^{2} - x + 6) \\ \\ GCF = 3[/tex]
the greatest common factor of 6x2 – 3x + 18 is 3.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life
Here, given that,
6x2 – 3x + 18
=3×(2x2-x+6)
Hence, the greatest common factor of 6x2 – 3x + 18 is 3.
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Please I beg help show work
A 94
B 1
C 47
D 3
Answer:
x = 3
Step-by-step explanation:
15x + 2 = 9x + 20
Now solve for x
Subtract 2 from each side
15x = 9x + 18
Subtract 9x from each side
6x = 18
Divide each side by 6
x = 3
Answer: x=3
Step-by-step explanation:
When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.
9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.
9x+20= 15x+2. Subtract 9x from both sides.
20= 6x+2. Subtract 2 from both sides.
18=6x. Divide both sides by 6.
3=x
I need help with math ASAP
Answer: angle 7 is equal
Step-by-step explanation: I help ;)
a) ¿La relación de los datos (x, y) es una función?
Find the indicated values of the parallelogram
4yº
80°
(5x + 10)
y=
Pweese help I don’t know how to do this
Answer:
x= 18 and y= 20
Step-by-step explanation:
hope this helps