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erastovalidia [21]
3 years ago
15

Mr. thompson has been asked to add storage space to a garage. he estimates 6 square feet per individual will be required to meet

the needs of 12 people. if the storage space is 15% of the total amount of space required, how much total space does mr. thompson have? mr. thompson had square feet.
Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

To solve this problem, first let us calculate for the total space of the storage area:

Total storage space = (6 square feet / person) (12 persons)

Total storage space = 72 square feet

 

Since this storage space is only equivalent to 15% of the total garage space, therefore we can write the equation:

(0.15) total space = total storage space

total space = total storage space / 0.15

 

Then calculating for the total space by substitution of the variable:

total space = 72 square feet / 0.15

total space = 480 square feet

 

<span>Therefore Mr. Thompson has a total space of 480 square feet.</span>

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On a single roll of a pair of dice, what are the odds against rolling a sum of 12?
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\frac{1}{35}

Step-by-step explanation:

On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:

(1,1)         (1,2)          (1,3)  (1,4)  (1,5)  (1,6)

(2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

(3,1)  (3,2)  (3,3)  (3,4)  (3,5)  (3,6)

(4,1)  (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

(5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

(6,1)  (6,2)  (6,3)  (6,4)  (6,5)  (6,6)

The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.

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Odd against favor = \frac{non \ favorable\ outcomes}{favorable \ outcomes}

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Number of outcomes of not getting sum 12 is 36-1= 35

odds against rolling a sum of 12= \frac{1}{35}

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