A company packed 108 items in 12 boxes. Write the rate as a fraction, then find the unit rate.
1 answer:
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To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.
Factors of 8: (1, 8), (2, 4)
1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the term at the front of the trinomial), we find the binomials:
and
The answer is x + 2 and x + 4.
For this case we convert the mixed numbers to fractions:
Now we add the fractions:
We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.
8,375
Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:
gallons
Answer:
gallons