-2x > 12 OR -2(x + 1) < -10
Each inequality is solved separately.
The first one, divide both sides by -2, when you divide by a negative, you change the inequality sign.
So x < 6
For the second inequality, distribute the -2, this gives us -2X -2< -10.
Add 2 to both sides.
-2x < -8
Divide both sides by -2.
When dividing by a negative you change the inequality sign
So x > 4
The answer is:
x < 6 OR x > 4
Answer:
A. You have $48 to spend on socks, but you need to save at least $8 to pay for the bus trip home. You plan to spend the rest on socks at $10 each (including tax).
Step-by-step explanation:
cause it's A
Anyone sees the problem? I can’t see it.
They sold 76 t-shirts and 24 warm up pants.
Step-by-step explanation:
Cost of one t-shirt = $20
Cost of warm up pants = $45
Total sold = 100
Worth of sold items = $2600
Let,
x be the number of t-shirts.
y be the number of warm up pants.
According to statement;
x+y=100 Eqn 1
20x+45y=2600 Eqn 2
Multiplying Eqn 1 by 20
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 25
Putting y=24 in Eqn 1
They sold 76 t-shirts and 24 warm up pants.
Keywords: linear equations, elimination method
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The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n
Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)
Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12
