El producto de dos números consecutivos es 552 cuáles son esos números?
1 answer:
Answer: 23 y 24 ( ó -23 y -24)
Step-by-step explanation:
Two consecutive numbers can be represented as:
n y (n + 1)
where n is an integer.
Hence, "The product of two consecutive numbers is 552" can be expressed as:
n*(n + 1) = 552
n^2 + n = 552
n^2 + n - 552 = 0
We have a quadratic equation, and the possible solutions are obtained using the Bhaskara formula.
The two solutions are:
n = (-1 - 47)/2 = -48/2 = -24
n = (-1 + 47)/2 = 46/2 = 23
If we take the first solution, n = -24
Then the two consecutive numbers would be:
n = -24
(n + 1) = -23
If n = 23, then
n + 1 = 24
Which makes sense, as the only change is the signs, which would negate each other in multiplication.
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Julia completes a 20-mile bike ride in 1.2 hours.
The distance Julia covers is 20 miles and her time taken is 1.2 hours.
Therefore, Julia's speed = = 16.67 mph
Katie finishes the same 20-mile ride in 1.6 hours.
Katie’s distance is 20 miles and her time is 1.6 hours.
Hence, Katie's speed = = 12.5 mph
To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.
Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.
Consequently, Julia cycles 4.2 mph faster than Katie.