Given a point (x, y), let's evaluate the transformations:
- Translation 6 units to the right.
Means moving the point 6 units in the horizontal direction; to the right.
The new point will be (x + 6, y).
- Translation 2 units down.
Means moving the point 2 units down; in the vertical direction.
The new point will be (x + 6, y - 2).
Answer: (x + 6, y - 2).
Answer:
Each boy receive $3.75 and Each girl receive $7.5
Step-by-step explanation:
Given : Thirty dollars is to be divided among three girls and two boys so that each of the girls receives twice as much as each of the boys.
To Find: How much does each receive?
Solution :
Let each boy gets $x
Since we are given that each of the girls receives twice as much as each of the boys
So, each girl receive amount = 2x
Since there are 3 girls .
So, 3 girls received the amount = 3*(2x)=6x
Now each boy gets x amount
So, 2 boys get amount = 2*x =2x
Since thirty dollars are divided among them .
So, 
Thus each boy gets $3.75
Each girl receive amount = 2x = 2*3.75= $7.5
Hence Each boy receive $3.75 and Each girl receive $7.5
The maximum weight that could be held would be 32 pounds. or six five pound weights taking up 18 inches of space, and weighing 30 Lbs, and two one pound weights adding another two inches. You could achieve a greater weight if you had a weight of one-half inch, in which case you could take six 5 lb weights and 1 two pound weight, then you could add a half inch weight bringing the weight to over 32 inches. Since we don't have a half inch weight we can't raise the weight above 32lbs.
Answer:
x < 15
Step-by-step explanation:
Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".
On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:
-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24
On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:
-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30
Now put these back in:
-6(x + 4) + 9 > -5(x + 6)
-6x - 24 + 9 > -5x - 30
-6x - 15 > -5x - 30
x < 15
Thus the answer is x < 15.
Hope this helps!
