Answer:
Consecutive odd integers are 19 , 21 & 23
Step-by-step explanation:
Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).
According to the question,
![2x + 3(x + 2) = 2(x + 4) + 55](https://tex.z-dn.net/?f=2x%20%2B%203%28x%20%2B%202%29%20%3D%202%28x%20%2B%204%29%20%2B%2055)
![= > 2x + 3x + 6 = 2x + 8 + 55](https://tex.z-dn.net/?f=%20%3D%20%20%3E%202x%20%2B%203x%20%2B%206%20%3D%202x%20%2B%208%20%2B%2055)
Eliminating 2x from both the sides,
![= > 3x + 6 = 63](https://tex.z-dn.net/?f=%20%3D%20%20%3E%203x%20%2B%206%20%3D%2063)
![= > 3x = 63 - 6 = 57](https://tex.z-dn.net/?f=%20%3D%20%20%3E%203x%20%3D%2063%20-%206%20%3D%2057)
![= > x = \frac{57}{3} = 19](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B57%7D%7B3%7D%20%20%3D%2019)
So, the consecutive odd integers are = 19 , 21 & 23.
Answer:
3x+24 more widgets
Step-by-step explanation:
A company owns two manufacturing plants:
1st plant: 8x+17 widgets;2nd plant: 5x-7 widgets.
To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,
(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24
hope this helps!
Step-by-step explanation:
A(-3,5) to B(8,1)
That makes a right triangle 8 - -3 = 11 in the x direction, 5 - 1 = 4 in the y direction.
d² = (8 - -3)² + (1 - 5)² = 11² + (-4)² = 121 + 25 = 146
d = √146 = 12.083045973594572
Answer: 12.1
The correct answer is 19,200. Hope this helps. :)