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Shtirlitz [24]
4 years ago
5

A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of pape

r​ weigh?
Mathematics
1 answer:
goldfiish [28.3K]4 years ago
5 0

Answer:

A single sheet of paper should weigh: <u>0.00645 pound</u> or  6.45*10^{-3} (in scientific notation)

Step-by-step explanation:

Divide 3.225 (the weight of the ream of paper) by 500 (the amount of paper in a ream).

If you need the scientific notation form, simply move the decimal point/place right or left until you end up with a whole number that is between 1 and 10 (in this case, <u>3 times to the right</u>), then determine what power of 10 it should be, depending on the number of times you moved the decimal place (in this case, the power is <u>-3</u>).

The power/exponent is determined by the direction you have to move your decimal point, right=negative and left=positive. For example, if you started off with the number 6450, you would move the decimal point 3 times to the left and your power would be positive 3, which results in 6.45*10^{3}.

Hope this helps!

You might be interested in
Malia works at a movie theater and is paid hourly. One month, she earned $388.80. The total amount she earns can be found using
AlekseyPX

Answer:

Malia's unit rate is greater than Bill's by $0.05.

Step-by-step explanation:

Consider the provided information.

The total amount she earns can be found using the equation y = 8.1x, where x is the number of hours she works and y is the total amount she earns in dollars.

The unit rate, when written as a fraction, has a denominator equal to one.

The unit price of Malia is $8.1

For Bill works:

Number of hours Total amount earned

18 $144.90

28 $225.40

35 $281.75

Unit price would be:

\begin{gathered}\dfrac{144.90}{18}=\dfrac{y}{x}\\\\8.05=\dfrac{y}{x}\\\\y=8.05x\end{gathered}

18

144.90

=

x

y

8.05=

x

y

y=8.05x

Hence, unit price of Bill is $8.05

Malia's unit rate is 8.1 whereas Bill's unit rate is 8.05,

Thus, Malia's unit rate is greater than Bill's by 8.10-8.05=0.05.

5 0
3 years ago
Read 2 more answers
Find the volume of the pyramid. Round your answer to the nearest hundredth.
dybincka [34]
I would say b hope this help ☺
8 0
3 years ago
please i need help lol The amount of clay students used for their last art project is weighed. The line plot displays the amount
Schach [20]

Answer:

2  1/4

Step-by-step explanation:

We need to see how much clay they used if each person in that group used 3/4 clay. There are 4 people in the group.

=> 3/4 x 4 = 12/4 =    3

Now, we need to see how much clay they used if each person in that group used 1/4 clay. There are 3 people in the group

=> 1/4 x 3 =   3/4

Now, we need to see how much more clay was used.

=>3 - 3/4

=> 3/1 - 3/4

=> Take the LCM of the denominators and make the denominators equal.

=> 12/4 - 3/4

=> 9/4

They used 9/4 more clay.

Since there are no options with 9/4, we need to make this improper fraction into a proper fraction.

=> 9/4 = 2  1/4

They used 2  1/4 more clay.

3 0
3 years ago
The length of a rectangle field is represented by the expression 14 X minus 3X squared +2 Y. The width of the field is represent
Assoli18 [71]

Answer:

9x+4x^2-5y

Step-by-step explanation:

Hi there!

Length of the field: 14x-3x^2+2y units

Width of the field: 5x-7x^2+7y units

To find how much greater the length of the field is than the width, subtract the width from the length:

14x-3x^2+2y-(5x-7x^2+7y)

Open up the parentheses

= 14x-3x^2+2y-5x+7x^2-7y

Combine like terms

= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y

Therefore, the length is 9x+4x^2-5y units greater than the width.

I hope this helps!

7 0
3 years ago
For which values of the variables the following equality is true?
Ilia_Sergeevich [38]

Answer:

For The value of a = 0 and c = 0 , The given expression equality is true  

Step-by-step explanation:

Given expression as :

\frac{3a^{2}+ac+2c-6a}{3a - c} = a - 2

Or, 3 a² + ac + 2 c - 6 a = ( a - 2 ) × ( 3 a - c )

Or, 3 a² + ac + 2 c - 6 a =  3 a² - ac - 6 a + 2 c

Or, (  3 a² + ac + 2 c - 6 a ) - ( 3 a² - ac - 6 a + 2 c ) =0

Or, ( 3 a² - 3 a² ) + ( ac + ac ) + ( 2 c - 2 c ) + ( - 6 a + 6 a ) = 0

or,  0 + 2 ac + 0

Or, 2 ac = 0

∴  a =0  and c = 0

Hence For The value of a = 0 and c = 0 , The given expression equality is true  .  Answer

6 0
3 years ago
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