Answer: First option.
Step-by-step explanation:
You know that the product obtained by multiplying a binomial and a trinomial is:

Then, in order to simplify this product, it is necessary to add the like terms.
Therefore, the expression that is equivalent to this product after it has been fully simplified is:

You can observe that this matches with the first option.
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.
The question is asking to calculate the check register balance be if he had an ending balance of $599.43 and outstanding deposit that totaled $ 235.14 and base on my further research and calculation, I would say that the answer would be $246.75, I hope you are satisfied with my answer and feel free to ask for more
Answer:
List all the factors for 18,15 to find the common factors. The common factors for 18,15 are 1,3 . The GCF for the numerical part is 3 . The factor for k1 is k itself.
Step-by-step explanation:
Answer:
The range of the data is the difference between the largest and smallest value. In this case, the largest value is 8 and the smallest value is 1.
Hence, the range is
.
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The mode is the value that appears in a data set the most. When you arrange them in ascending order:

You can count that the value "6" appears five times, which is the most in this set.
Hence, the mode is 6.