The answer to this equation will be 359
Answer:
Joe's wife must drive at a rate of 45km/hour.
Step-by-step explanation:
We are given that Joe leaves home and bikes at a speed of 30km/hour. Joe's wife leaves home five minutes later by car, and we want to determine her speed in order for her to catch up to Joe in 10 minutes.
Since Joe bikes at a speed of 30km/hour, he bikes at the equivalent rate of 0.5km/min.
Then after five minutes, when his wife leaves, Joe is 5(0.5) or 2.5 km from the house. He will still be traveling at a rate of 0.5km/min, so his distance from the house can be given by:
Where <em>t</em> represents the time in minutes after his wife left the house.
And since we want to catch up in 10 minutes, Joe's distance from the house 10 minutes after his wife left will be:
Let <em>s</em> represent the wife's speed in km/min. So, her speed times 10 minutes must total 7.5 km:
Solve for <em>s: </em>
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Thus, Joe's wife must drive at a rate of 0.75km/min, or 45km/hour.
Answer:
8 hours
Step-by-step explanation:
Let t hours be the time needed Sonya to catch up Brianna.
Sonya:
Time = t hours
Rate = 44.8 mph
Distance miles
Brianna
Time hours
Rate = 32 mph
Distance miles
Note that because Sonya must catch up Brianna.
Use formula
Hence,
Solve this equation:
Answer:
Option (3)
Step-by-step explanation:
If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.
Given complex number is (-3 + 2i
)
Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.
Option (3) will be the answer.