Answer:
The expression which represents the total time Louis spends commuting to and from the gym each day will be .
Step-by-step explanation:
The expression for time to gym:
The expression for time from gym:
The total time Louis spends commuting to and from the gym each day will be equal to the sum of the Time to gym and Time from gym.
Thus,
The total time Louis spends
Therefore, the expression which represents the total time Louis spends commuting to and from the gym each day will be .
The correct options regarding the circle with endpoints of the longest chord at (4, 5.5) and (4, 10.5) are:
The equation of a circle of center and radius r is given by:
The center is the <u>midpoint of the chords</u>, hence:
The radius is half the distance between the chords, hence:
.
Hence the equation is:
More can be learned about the equation of a circle at brainly.com/question/24307696
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The total of 42 swimmers are competing
Step-by-step explanation:
The given is:
We need to find how many total swimmers are competing
∵ The ratio of runners to swimmers was 3 : 2
- Multiply each term of the ratio by x
∴ There are 3x runners and 2x swimmers
∵ 28 runners dropped out of the competition
∴ The number of runners who complete = 3x - 28
∵ The ratio became 5 : 6
- Equate the ratio between the new number of runners and the
number of swimmers by 5 : 6
∵ The new number of runners = 3x - 28
∵ The number of swimmers = 2x
∴
- By using cross multiplication
∴ 6(3x - 28) = 5(2x)
- Simplify both sides
∴ 18x - 168 = 10x
- Add 168 to both sides
∴ 18x = 10x + 168
- Subtract 10x from both sides
∴ 8x = 168
- Divide both sides by 8
∴ x = 21
∵ The number of swimmers is 2x
∵ x = 21
∴ The number of swimmers = 2(21) = 42
The total of 42 swimmers are competing
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