Kevin, Conner, and John each walk several miles per day as part of a fitness program. Kevin walks 3 miles less than Conner, and John walks 2 miles more than Conner does. Over 3 days the difference between the number John and Kevin walk is equal to one half the number of miles that Conner walks. How many miles does each person walk each day?
Answers
Answer:
The distance Conner walks each day is 10 miles
The distance Kevin walks each day is 7 miles
The distance John walks each day is 12 miles
Step-by-step explanation:
The question is a word problem
Let the number of miles Conner walks per day = x
The given inforf the totmation in the question are;
The distance Kevin walks per day = x - 3 miles
The distance John walks per day = x + 2 miles
In three days, the difference between the total distance John walks and the total distance Kevin walks is equal to half the total distance Conner walks
The number of miles each person walks per day is found as follows;
3×(x + 2) - 3×(x - 3) = 3·x/2
3·x + 6 - 3·x - (-9) = 3·x/2
3·x + 6 - 3·x + 9 = 3·x/2
3·x - 3·x + 6 + 9 = 3·x/2
0 + 6 + 9 = 3·x/2
15 = 3·x/2
x = 15×2/3 = 10 miles
x = 10 miles
Therefore, the distance Conner walks each day = 10 miles
The distance Kevin walks per day = (x - 3) miles = (10 - 3) miles = 7 miles
The distance Kevin walks per day = 7 miles
The distance John walks per day = (x + 2) miles = (10 + 2) miles = 12 miles
The distance John walks per day = 12 miles.
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Answer:
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Step-by-step explanation:
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Answers
In 240 ways paper can be stacked.
Given that, on a desk, there are 6 sheets of blue paper, 4 sheets of yellow paper, 5 sheets of green paper, and 2 sheets of pink paper.
We need to find how many ways can the paper be stacked.
What are permutations and combinations?
Arranging people, digits, numbers, alphabets, letters, and colours are examples of permutations. Selection of menu, food, clothes, subjects, and the team are examples of combinations.
Now, 6×4×5×2=240 ways
Therefore, in 240 ways paper can be stacked.
To learn more about permutations and combinations visit:
brainly.com/question/13387529.
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(2, 8) and (3, 14)
Answers
The equation of the line that passes through (2, 8) and (3, 14) will be y = 6x - 4.
What is a linear equation?
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
The points are given below.
(2, 8) and (3, 14)
The equation of the line that passes through (2, 8) and (3, 14) will be given as,
(y - 8) = [(14 - 8) / (3 - 2)](x - 2)
y - 8 = 6x - 12
y = 6x - 4
The condition of the line that goes through (2, 8) and (3, 14) will be y = 6x - 4.
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6
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The slope is calculated by finding the change in y-coordinates and dividing that by the change in x-coordinates.
The change in y:
8-14=-6
The change in x:
2-3=-1
The slope:
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6
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Answers
Answers
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Answer:
Step-by-step explanation:
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