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 : He spends 2 hours doing paperwork each day.
Hope this helps. - M
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Since Solise want to plant both trees and bushes in the same number of rows, you need to find the common factor.
Since the question is asking what the greatest number of rows she can plant, you have to find the greatest common factor.
The greatest common factor of 24 and 16 is 8.
You can plant 24 bushes in 8 rows (meaning you can divide it by 8), and 16 trees in 8 rows (meaning you can divide it by 8). Since the greatest number you can divide them both by is 8, the GCF of 24 and 16 is 8.
So the greatest number of rows Solise can plant is 8 rows.
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Answer:
y = 2x - 1
Step-by-step explanation:
The given line is y = 2x - 6.
It is in the y = mx + b form, where m is the slope, so its slope is 2.
We need a line that passes through point P(3, 5) and has slope 2.
y = mx + b
Put the slope in m.
y = 2x + b
Use the given point with x = 3 and y = 5 and solve for b.
5 = 2(3) + b
b + 6 = 5
b = -1
The equation is
y = 2x - 1
<u>Shape #1: A square.</u>
Every side is 4 units long.
The perimeter is 16 units.
The area is <em>16 </em>square units.
<u>Shape #2: A rectangle.</u>
The length is 7.9 units.
The width is 0.1 unit.
The perimeter is 16 units.
The area is <em>0.79</em> of a square unit.
<u>Shape #3: A circle.</u>
The diameter is (16/π) units. (about 5.093 units)
The perimeter (circumference) is 16 units.
The area is (64/π) square units. (about <em>20.37</em> square units)
