Answer: x> 1/2
Step-by-step explanation:
if 2x+1∠ 8x-2
inequality , treat this problem like any other equation
have the unknown(x) in one side, and the values on the other side
2x-8x < -1-2
-6x< -3 we multiply by -1, do not forget if we multiply by -1 the sign will change
6x>3 divide by 3
2x>1
x>1/2
Answer:
C
Step-by-step explanation:
There is only one solution to this question. Hope the following helps.
Unsimplified: y ≥ -2 x +5
*just remember, I know inequalities can be confusing at first
But the more you practice them the easier it becomes. Just figure out how y relates to the expression. :))
Answer:
11 Dimes
17 Quarters
Step-by-step explanation:
First, you must create an algebraic system out of the situation.
Let D represent the number of dimes and Q represent the number of quarters.
You can make the first equation using the total amount of money all coins equal. Since every dime is 10 cents and every quarter is 25 cents, the equation is:
0.10 D + 0.25 Q = 5.35
The second equation used to represent the ratio between dimes and quarters. It says that twice the number of dimes is = 5 more than the number of quarters. Replace dimes with D and quarters with Q to get:
2D = Q + 5
The system of equations is:
0.10 D + 0.25 Q = 5.35
2D = Q + 5
Solve for each variable.
Solving for D:
0.10 D + 0.25 Q = 5.35
Q = 2D - 5
Plug in:
0.10 D + 0.25(2D - 5) = 5.35
0.10D + 0.5D - 1.25 = 5.35
0.6D = 5.35 + 1.25 = 6.6
D = 6.6 / 0.6 = 11
Solving for Q:
Q = 2D - 5
Q = 2(11) - 5 = 22 - 5 = 17