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Shtirlitz [24]
3 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]3 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!

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Solve for x: −3|x + 7| = −12
antiseptic1488 [7]

Answer:

x=-3 x=-11

Step-by-step explanation:

−3|x + 7| = −12

|x + 7|=4

x+7=4 x+7=-4

x=-3    x=-11

3 0
3 years ago
PLEASE SOLVE AND SHOW WORK Find the equation of the line that passes through the points (-1,-5) and (-7,-6) in slope intercept f
Lynna [10]
The way that you find this problem is to first find the slope, and then input one of your points into your equation to find b.
The slope-intercept form of a line is: y=mx+b, where m is the slope and b is the y-intercept.

To find the slope, you must use the following equation:
\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this equation, this would be equivalent to:\frac{-6-(-5)}{-7-(-1)} which, when simplified, is \frac{1}{6}. This is your slope.

To find the Y-intercept, you just plug all variables that you currently have solved for into the equation. You may use either point for the x and y variables, but you must use \frac{1}{6} for the m term.

-6 = (\frac{1}{6})(-7) + b leads to -6 = \frac{-7}{6} +b which leads to \frac{-29}{6} = b. You have now solved for the y-intercept and aare ready to form your final equation.

The final equation is:y=\frac{1}{6}x -\frac{29}{6}
4 0
3 years ago
What is the slope of the line that passes the points (3, 1) and (2, 4).
aliya0001 [1]

Answer:

(x1, y1) = (3, 1)

(x2, y2) = (2,4)

the slope is

m= y2−y1/x2−x1 = 4-1/2-3 = 3/-1 = <u>-3</u>

5 0
3 years ago
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
sdas [7]

There asking for the equation, and the possible answers are 

y = 2x + 6 y = −one halfx + 3 y = −one halfx + 6 y = 2x + 3


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3 years ago
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B it’s b bro trust me
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