Answer:
B
Step-by-step explanation:
Answer:
-2 (q + 3)
Step-by-step explanation:
Simplify the following:
-6 + 4 q - 6 q
Grouping like terms, -6 + 4 q - 6 q = (4 q - 6 q) - 6:
(4 q - 6 q) - 6
4 q - 6 q = -2 q:
-2 q - 6
Factor -2 out of -2 q - 6:
Answer: -2 (q + 3)
Answer:
<span>Robbie: 6
Cameron: 9
Louis: 12
Tom: 15
Charlie</span>: 18
Explanation:
1) Assume that Rachel sold all the cones: 60
2) Call x the amount that Robbie bought and d the constant increase on the purchse.
3) That means that the number of cones bought by each one is:
<span>Robbie: x
Cameron: x + d
Louis: x + d + d = x + 2d
Tom: x + 2d + d = x + 3d
Charlie</span> x + 3d + d = x + 4d
The sum of that is: x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 5x + 10d = 60
5x + 10d = 60 may be simplified by dividing each side by 5 => x + 2d = 12.
Equation (1) x + 2d = 12
4) <span>Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis, Tom and Charlie
=> x + (x + d) = [3/7] [ (x + 2d) + (x + 3d) + (x + 4d) ]
=> 2x + d = [3/7] (3x + 9d)
=> 7(2x + d) = 3 (3x + 9d)
=> 14x + 7d = 9x + 27d
=> 14x - 9x = 27d - 7d
=> 5x = 10d
=> x = 2d
Equation (2) x = 2d
5) Now you just have to solve this simple system of equations:
x + 2d = 12
x = 2d
Subitituing x for 2d in the first equation: x + x = 12 => 2x = 12 => x = 6
Now replace x = 6 in any of the two equations and you get the value of d.
For example, from x = 2d => d = x / 2 = 6 /2 = 3.
6) Finally, calcualte the number of cones of each:
</span> Result
<span><span>Robbie: x 6
Cameron: x + d 6 + 3 = 9
Louis: x + d + d = x + 2d 9 + 3 = 12
Tom: x + 2d + d = x + 3d 12 + 3 = 15
Charlie</span> x + 3d + d = x + 4d</span> 15 + 3 = 18
-----------------------------------------
Total 6 + 9 + 12 + 15 + 18 = 60
