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!
Answer:
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
Step-by-step explanation:
Because the center of dilation is at (0, 0), or the origin, we can just multiply the x and y values of each point by the scale factor of 13.
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
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Answer:
39/5
Step-by-step explanation:
First chore, 6 to choose from.
Second chore, 5 to choose from.
Third chore, 4 to choose from.
Fourth chore, 3 to choose from.
Fifth chore, 2 to choose from.
Sixth chore, 1 to "choose" from.
The total number of orders possible is the product
6*5*4*3*2*1=6!=720
179 and 180
consecutive numbers have a difference of 1 between them
let the 2 numbers be n and n + 1, then
n + n + 1 = 359
2n + 1 = 359 ( subtract 1 from both sides )
2n = 358 ( divide both sides by 2 )
n = 179 and n + 1 = 179 + 1 = 180
the 2 pages are 179 and 180
