-- the greatest common factor of the 15, the 9, and the 24 is 3 .
-- the greatest common factor of the b⁴, the b⁵, and the b³ is b³.
-- the greatest common factor of the c³, the c², and the c¹, is c¹.
-- the greatest common factor of the d², the d¹, and the d³ is d¹.
-- SO, the greatest common factor of the whole thing is ( 3 b³ c d ) .
Can you factor that out of the big mess ?
Please try it.
You should get (3 b³cd) (5 bc²d - 3 b²c - 8 d²) .
<span>Using the snowball method to pay off debt is fairly basic and simple. In this method you begin by clearing the smaller debts first. Once these are cleared you have more money that you can put towards them because you no longer have payments on the smaller debts. This method is simple and often helps eliminate debts quicker.</span>
Let the cost of a chicken be x and the cost of a duck, y, then
50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)
(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)
(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8
From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5
Therefore, the price of a chicken is $8 and the price of a duck is $5.
Solution: The test score that the teacher should expect from a student who did not attend her course is 37.
<u>Explanation:</u>
The teacher's equation for the line of best fit is 
We know the equation for the line of the best fit is:
Where:
is slope of the equation. It represents the rate of change in y as one unit change in x.
is the intercept. It represents the expected mean value of y when all x=0.
Therefore, in the given teacher's equation, the slope is 0.7 and intercept is 37.
Here the intercept means the average score of student who who did not attend her course.
Therefore, the test score that the teacher should expect from a student who did not attend her course is 37.
Answer:
Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .
Step-by-step explanation:
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