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erica [24]
3 years ago
11

A box of cereal measures 7 by 9 by 7 inches. The manufacturer plans to market a smaller box that measures 8 by 5 by 5 inches. By

how much will the volume be reduced?
Mathematics
1 answer:
rewona [7]3 years ago
4 0
<h3>Answer: volume is reduced by 221 cubic inches</h3>

Work Shown:

A = old volume (large volume)

A = length*width*height = 7*9*7 = 441 cubic inches

B = new volume (smaller volume)

B = length*width*height = 8*5*5 = 200 cubic inches

C = change in volume = amount volume is reduced

C = A - B = 441-200 = 221 cubic inches

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Find the mean,median,mode and,range of the following data set 18 12 14 12 16 24 18 12 14
devlian [24]

Answer:

Mean = 15.5

Median = 14

Mode = 12

Range = 12

Step-by-step explanation:

The mean is the sum of all the values divided by the number of values.

So mean = S/N.

There are 9 values, so N = 9.

These values are 18,12,14,12,16, 24,18,12,14. So S = 18+12+14+12+16+24+18+12+14 = 140

Mean = 140/9 = 15.5

-------------------------------------------------------------------------------

For the median, the first step is to sort all the elements in a crescent way.

So 12 12 12 14 14 16 18 18 24

Then you will need to consider whether N is even or odd.

If N is even, to find the median you need to sum the values at the positions N/2 and (N/2)+1 and divide by 2.

In this case, N is odd. So the median will be the value at the position (N+1)/2, which is 14.

--------------------------------------------------------

The mode is the value that appears most often in a set. In this set, 12 appears 3 times, 14 and 18 appears twice and while 12 and 13 appear once each. So the mode is 12.

--------------------------------

The range of a set is:

Highest value - Smallest Value

In this set: range = 24-12 = 12

4 0
3 years ago
Plz help like fr help
MrRissso [65]
The answer is (2,28).
8 0
2 years ago
Read 2 more answers
Given that the points (-1,6). (3,6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the len
Ksju [112]
Since the given coordinates are already in order,
then and two consecutive distances between the coordinates will give length and breadth,

Using distance formula,
\sqrt{ {( - 1 - 3)}^{2}  +  {(6 - 6)}^{2} }  \\  =  \sqrt{ { (- 4)}^{2} }  \\  =  \sqrt{16 }  \\  = 4
(we'll not consider the negative value since distances can't be negative)

Applying this again on 2nd and 3rd coordinates,
\sqrt{ {(3 - 3)}^{2} +  {(6 - 1)}^{2}  }  \\  =  \sqrt{ {5}^{2} }  \\  = 5
(we'll not consider the negative value since distances can't be negative)

Since length's always gotta be greater than bredth
therefore,
the difference will be 5-4= 1 units


Hence width is 1 unit shorter than length.



Note: Unit used is "unit/s"
6 0
4 years ago
Plz help i need this answer to pass
zysi [14]

Answer:

The equation in slope-intercept form of required line is: \mathbf{y=\frac{2}{3}(x)-6}

Step-by-step explanation:

We need to write equation in slope-intercept form to represent the line on the  graph.

The general equation in slope-intercept form is: y=mx+b

Where m is slope and b is y-intercept

Finding slope using formula: Slope=\frac{y_2-y_1}{x_2-x_1}\\

Looking at he graph we have

x_1=3, y_1=-4, x_2=6, y_2=-2

Putting values in formula and finding slope:

Slope=\frac{-2-(-4)}{6-3}\\\\Slope=\frac{-2+4}{3}\\Slope=\frac{2}{3}

So, we get slope m = 2/3

Using slope m=2/3 and point (3,-4) we can find y-intercept

y=mx+b\\\\-4=\frac{2}{3}( 3)+b\\-4=2+b\\b=-4-2\\b=-6

So, y-intercept b = -6

The equation of line having m=2/3 and b=-6 will be:

y=mx+b\\y=\frac{2}{3}(x)-6

The equation in slope-intercept form of required line is: \mathbf{y=\frac{2}{3}(x)-6}

7 0
3 years ago
Help me with this simple science question plzz :))
Maksim231197 [3]

Answer:

A) state   (liquid to solid)

C) temperature (extremely hot to cool)

6 0
3 years ago
Read 2 more answers
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