Answer:
4x + 1
Step-by-step explanation:
g(f(x)) = (4x + 3) - 2
= 4x + 1
<u>Answer
</u>
Option B) 7 is the correct answer
FD = 7cm
<u>Explanation
</u>
Here triangle AEC. D is the midpoint of EC and F is the midpoint of EA
So D and F be the midpoint of triangle AEC.
FD be the midpoint joining line.
We know that if any triangle, line joining the midpoint of two sides is the half of the third side.
Here the third side is 14cm, then FD = 14/2 = 7cm
So option B) is the correct answer.
Answer:
RS
Step-by-step explanation:
RS is the corresponding side to AB
Answer: 60
Step-by-step explanation:
From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .
We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.
Multiples of 10 = 10, 20, 30, 40, 50, 60,
Multiples of 12 = 12, 24, 36, 48, 60, 72
Therefore, the packages of pencils and erasers that Phillip should buy will be 60
Let's create a variable to represent the size of Ruben's book collection prior to his buying the new books.
B = number of books in Ruben's collection before buying new ones
So, we know that when he bought 6 books, this increased his collection by 12%.
12% of his book collection would be represented by 0.12B. Therefore, we know that:
0.12B = 6
Divide both sides by 0.12, to get to B = 50.
However, you are being asked how many books does he have now. B represents the number of books he had before. Therefore you want to add back the 6 books he just bought.
The answer is 50 + 6 = 56
