Jon and Kristen are both increasing the number of minutes they jog each day, as shown in the tables.
1 answer:
Answer:
A system of linear equations that could be used to determine which day they will jog the same number of minutes is presented as follows;
m = 2·d + 15
m = d + 22
Step-by-step explanation:
The table of values for the number of minutes Jon and Kristen jog each day is presented as follows;
Jon
Kristen
The slope of the data representing Jon's data, m = (21 - 15)/(3 - 0) = 2
Therefore, the equation representing Jon's data is given as follows;
m - 15 = 2·d
m = 2·d + 15
The slope of the data representing Kristen's data, m = (25 - 22)/(3 - 0) = 1
Therefore, the equation representing Kristen's data is given as follows;
m - 22 = d
∴ m = d + 22
The system of linear equations that could be used to determine which day they will jog the same number of minutes is therefore;
m = 2·d + 15
m = d + 22
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Answer: 34,560
Step-by-step explanation:
Total crayons of different color = 12
Total children = 3
Each child will get 4 crayons.
Number of combinations of selecting <em>r</em> things out of <em>n</em> things =
The number of ways of selecting the first 4 crayons for first child =
Colors left = 12-4 =8
Now, the again selecting 4 colors out of 8 for second child =
Colors left =4
Number of ways of selecting 4 colors out of 4 for third child =1
Total number of ways = 495 x 70 x 1 = 34650 [By fundamental principle of counting]
Hence, the total number of ways = 34,560.