Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.
The slope of a line passing through the points
Let the point where the two lines intersect be the origin (0, 0).
Line 1 passes through (0, 0) and (8, 5). Hence:
slope of line 1 =
Line 2 passes through (0, 0) and (5, 8). Hence:
slope of line 2 =
On 12th day Rosita will walk all three dogs
<em><u>Solution:</u></em>
Given that Rosita earns money by walking dogs after school and on weekends
She walks Madeline every other day,buddy every fourth day,and ernie every third day
Today she walked all three dogs
<em><u>To find: the day when she walked all three dogs</u></em>
From given question,
Madeline is walked every other day means every two days: 2
Buddy is walked every fourth day: 4
Ernie is walked every third day: 3
To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3
<em><u>L.C.M of 2, 4, 3:</u></em>
List all prime factors for each number
Prime Factorization of 2 shows:
2 is prime =>
Prime Factorization of 3 shows:
3 is prime =>
Prime Factorization of 4 is:
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 = 12
Thus on 12th day Rosita will walk all three dogs