Answer:
One of the expressions that are equivalent to 4d+6+2d is 6d+6
Answer: Use a bar or a number line. Try my example with -6.
Step-by-step explanation: Example: x + 2 > 12
Subtract 2 from both sides:
x + 2 − 2 > 12 − 2
Simplify:
x > 10
Solved^
Answer:
≈2.69
≈-0.19
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have that the quadratic formula is:

2. To solve the quadratic equation you must substitute the values. So, you have that:
Rewrite the equation:


Then you have:

3. Therefore, you obtain the following result:
≈2.69
≈-0.19
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:


+

--------------------------------------



We substitute the value of B into one of the two equations and solve for A.


120
OA = OB
angle OAN = 90 degrees, so OAB and OBA is both 30 degrees.