The simplified expression of 6(y + 13) + 21y is 27y + 78
<h3>How to simplify the expression?</h3>
The expression is given as:
6(y + 13) + 21y
Open the brackets
6 * y + 6 * 13 + 21y
Evaluate the product
6y + 78 + 21y
Collect the like terms
6y + 21y + 78
Evaluate the like terms
27y + 78
Hence, the simplified expression of 6(y + 13) + 21y is 27y + 78
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You can rid the square root and be left with log of 3/5
then you can simplify this further into: log(3) - log(5) and then get the final answer -0.2218
Answer:
h = 20 cm
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the two bases
We are given a =400 and b1 =27 and b2 =13
400 = 1/2 (27+13) *h
400 = 1/2 (40) *h
400 = 20h
Divide each side by 20
400/20 = 20h/20
20 =h
Answer: OPTION D: 
Step-by-step explanation:
By definiton, fractions have the following form:

Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.
In order to solve this exercise you need to remember de Division of fractions:

In this case, according to the information given in the exercise, you know that
of rubies are divided into 4 lots.
Therefore, in order to calculate the weight in pounds of each lot, you need to divide
by 4.
Then, you get the following result:

As you can notice, this result matches with the Option D.