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VMariaS [17]
3 years ago
8

Ed decided to build a storage box. At first, he was planning to build a cubical box with edges of length n inches. To increase t

he amount of storage, he decided to make the box 1 inch taller and 2 inches longer while keeping its depth at n inches. The volume of the box Ed built has a volume how many cubic inches greater than the box he originally planned to build?
Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

The new volume is 3n^2+2n inches greater.

Step-by-step explanation:

Volume of a cube = s^3 where s is side of cube

Original volume = n^3

Volume of a Rectangular Prism = LBH

New Volume = (n+1)(n+2)(n)= n^3+3n^2+2n

DIfference = New- original = 3n^2+2n

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Slope of a parallel line with the points (7,-5) and (-5,7)
VLD [36.1K]

Answer: Negative 1  The slope of parallel lines is the same.

The attachment shows two such lines, given coordinates labeled.

Step-by-step explanation:

Find the slope of the line passing through the given points.

 rise/run  

Rise is the difference in y-values  7-(-5)  = 12

Run is the difference between x-values  -5 - 7  = - 12

The Slope is 12/-12   simplify:

slope = -1

5 0
3 years ago
Which line has an equation of y=-5x+4 in slope-intercept form?
stellarik [79]

Answer:

Last choice.

Step-by-step explanation:

To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.

Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.

We can test using the slope formula and plugging in values. When the slope formula: m= \frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:

Choice 2:

-24 = -5(4) + 4

-24 = -20 + 4

-24 ≠ -16

Choice 4:

-16 = -5(4) + 4

-16 = -20 + 4

-16 = -16

Therefore, choice 4 is correct!

4 0
3 years ago
Create a real life example using either temperature or money to compare -3 and -5
lana66690 [7]
The temperature when I went to the bus stop in the morning felt like it was -3°, sadly it was only -5° only two degrees warmer, which means it is still freezing
7 0
3 years ago
Read 2 more answers
If the starting time is 7:43 and the elapsed time is 36 minutes then what time what is the ending time
Annette [7]

Answer:

8:19

Step-by-step explanation:

It is 17 minutes until 8:00.  36 - 17 = 19 minutes left.

8:00 + 19 minutes = 8:19

6 0
3 years ago
Read 2 more answers
The average age of 6 men is 35 years and
PSYCHO15rus [73]

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

7 0
3 years ago
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