Answer:
D
Step-by-step explanation:
According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.
<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>
<em />
<em>For A:</em>

For B:

For C:

For D:

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.
Answer: The journey took 4 hours and 15 minutes.
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
Answer:
Carmen can make
full servings.
Step-by-step explanation:
Given : Carmen mixes
cups of water with
cups of juice to make punch.
Total quantity of punch Carmen made = total cup of water + cup of juice she mixes
Total quantity of punch Carmen made = 
Solving , we get,
Total quantity of punch Carmen made = 
taking LCM(2,8) = 8 , we get,
Total quantity of punch Carmen made = 
Also, given She pours
cup servings of punch.
Thus,
cup of mixture makes 1 serving cup.
Using unitary method,
In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.
1 cup of mixture makes
serving cup.
cup makes = 
cup makes = 
Thus, She can make
full servings.
Answer:
x=68
Step-by-step explanation:
We begin by setting up as a proportion. 99.2 and 112 ft are across from each other so we can put those as our numerators. Additionally 62 and (x+2) ft are across from each other so we can put those as denominators. Now we can set up our proportion and begin to cross multiply:
99.2/62 = 112/(x+2) is our equation. It might help you see it clearly to write it out as fractions. From here, we cross multiply.
When we do that, we get x=68