A conversion factor originally known as unity bracket method, is a mathematical tool for converting between units of measurement. It is sometimes referred to as a unit multiplier, and consists of a fraction in which the denominator is equal to the numerator.
A conversion factor is used to change the units of a measured quantity without changing its value. Because of the identity property of multiplication, the value of a number will not change as long as it is multiplied by one.Also, if the numerator and denominator of a fraction are equal to each other, then the fraction is equal to one. So as long as the numerator and denominator of the fraction are equivalent, they will not affect the value of the measured quantity.
For example,
Days are converted to hours, by multiplying the days by the conversion factor as 24. The conversion can be reversed by dividing, the hours, by 24 to get days; however, the reciprocal 1/24 could be considered the reverse conversion factor for an hours-to-days conversion, where 1/24 ~= 0.0416666666667. Hence, the term "conversion factor" is the multiplier which yields the result, not a divisor from that viewpoint. To yield hours, the conversion factor is 24, not 1/24, so: hours = days × 24 (multiplying by the factor).
Examples of Conversion Factors
Since 1 day = 24 hours = 1440 minutes, therefore 15 minutes (1 day/1440 minutes) = 15/1440 ~= 0.010416667 = ~0.01 days.
Since 1 hour = 60 mins = 3600 seconds, therefore 7200 seconds = 120 mins = 2 hours.
Answer:
80 ft²
Step-by-step explanation:
The carpet area will be the area of the pentagon less the 25 square feet taken up by the tree. The area of the pentagon is found by putting the given numbers into the given formula.
pentagon area = 5((7 ft)(6 ft))/2 = 105 ft²
carpet area = 105 ft² -25 ft² = 80 ft²
Peter will need 80 square feet of carpet.
Respuesta:
3x² + 5x - 2
Explicación paso a paso:
Dado que :
Área del rectángulo, A = largo * ancho
Dimensión = 3x - 1; x + 2
Área = (3x - 1) * (x + 2)
Área = 3x² + 6x - x - 2
Área = 3x² + 5x - 2
Answer:
x = 7
Step-by-step explanation:
To solve:
Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.
Next distribute -2 among everything in the second parentheses. You'll get
-2x - 2.
<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>
Now combine like terms:
5x - 2x = 3x and -15 - 2 = - 17
<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>
Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.
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Last, don't forget to check your work.
You can plug in 7 for x to get:
5(7 - 3) = 20
5 × 7 = 35
5 × -3 = -15
35 - 15 = 20
-2(7 + 1) = -16
-2 × 7 = -14
-2 × 1 = - 2
-14 -2 = -16
<u>20 - 16 = 4</u>
⬆⬆⬆Therefore this is correct.
Sorry this is a bit lengthy, but hope this helps :)
Answer:
458
Step-by-step explanation:
