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iris [78.8K]
3 years ago
5

Samantha bought a refrigerator that is 3 1/2 feet wide, 5 1/2 feet tall, and 2 1/2 feet deep. How much space will the new refrig

erator occupy?
Mathematics
1 answer:
Basile [38]3 years ago
8 0

Answer:

48.125 ft³

Step-by-step explanation:

The space occupied by the new generator is the product of it's dimension:

The space occupied = Length * width * height

Space occupied = 3 1/2 * 5 1/2 * 2 1/2

Space occupied = 7/2 * 11/2 * 5/2

Space occupied = (7*11*5) / (2*2*2) = 385 / 8

Space occupied = 48.125 ft³

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Factorise x cube -2x square -5x plus 6
zepelin [54]

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

7 0
3 years ago
Round 17.641 to the nearest whole number
vfiekz [6]
The nearest whole number would be 18 because the 6 is greater than 5. Anything greater than five, would most likely be rounded to the nearest whole number. Hope this helped!


8 0
3 years ago
What value of x is in the solution set of 9(2x + 1)<br> - 187
Brut [27]

Answer:

x = 9.889

Step-by-step explanation:

9 ( 2x + 1 ) - 187 = 0

18x + 9 = 187

18x = 178

x = 9.889

I am pretty sure that this is the answer. Tell me if I am wrong.

Can I get brainliest

4 0
3 years ago
Whats the answer to this???
Leno4ka [110]
Measure angle EFG = 15 degrees
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8 0
3 years ago
Roland bought a dresser for k dollars. After restoring it, he sold it for 3.1k dollars. Which is another way to describe the cha
xxMikexx [17]

Answer: 210 percent increase

Step-by-step explanation: So w know the starting value is k so we can replace it with 1 dollar

now we know he bought the dresser for 1 dollar and sold it for 3.10 dollars

First we have to subtract the starting value 3.1 - the original value

3.1 - 1 = 2.1

then we have to divide that number by the starting value

2.1 divided by 1 = 2.1

Lastly multiply times 100 to get the percent increase

2.1 x 100 = 210 % increase

hope this helps mark me brainliest if it helped

6 0
3 years ago
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