Lizette ran for 1.25 hours and walked for 3 hours.
distance = speed × time
Her total distance is the sum of her distances at the different speeds. Let w represent her walking speed in mi/h. For distances in miles, speeds in miles per hour, and time in hours, the problem statement tells us ...
19 = (w+5)(1.25) + (w)(3)
19 = 4.25w + 6.25 . . . . collect terms
12.75 = 4.25w . . . . . . . subtract 6.25
3 = w . . . . . . . . . . . . . . . divide by 4.25
Lizette's walking speed is 3 mph.
Lizette's running speed is 8 mph.
Answers:
- Sam's current age = 24
- The mother's current age = 48
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Explanation:
s = Sam's age right now
2s = the mother's age right now, since she is twice as old as Sam currently.
In 12 years time, Sam will be s+12 years old.
12 years ago from this current year, the mother was 2s-12 years old.
Since we're told these future and past ages line up, this means s+12 and 2s-12 are the same value
Set the expressions equal to one another and solve for s.
s+12 = 2s-12
s-2s = -12-12
-s = -24
s = 24
Sam is currently 24 years old.
His mother is currently 2s = 2*24 = 48 years old.
12 years ago, his mother was 2s-12 = 48-12 = 36 years old.
12 years from now, Sam will be s+12 = 24+12 = 36 years old.
Since we get 36 each time, this confirms we have the correct answers.
Answer:
Step-by-step explanation: Given the inequality
The solution is as follows:
The solution of the inequality is all real values of x greater than or equal to 1.
The graph of the inequality is a solid vertical line passing through x = 1 with the area to the left of the line shaded.
Length (L): 2w + 5
width (w): w
Perimeter (P) = 2L + 2w
136 = 2(2w + 5) + 2(w)
136 = 4w + 10 + 2w
136 = 6w + 10
126 = 6w
21 = w
Length (L): 2w + 5 = 2(21) + 5 = 42 + 5 = 47
Answer: width = 21 meters, length = 47 meters
Answer:
each number you pick has a 1 in 25 chance
this equates to a 4% chance of winning for each individual ball