Answer: The required number of books that Ruben had before purchases is 50.
Step-by-step explanation: Given that Ruben bought 6 new books for his collection that increased his collection by 12%.
We are to find the number of books that Ruben had before purchases.
Let x denotes the number of books that Ruben had before purchases.
Then, according to the given information, we have
Thus, the required number of books that Ruben had before purchases is 50.
Answer:
They are similar
Step-by-step explanation:
If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.
This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:
LM/LQ = LN/LP
LM = 100
LQ = 12
LN = 75
LP = 9
LM/LQ = 100/12 = 25/3
LN/LP = 75/9 = 25/3
LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.
Answer: x
x = 100 + 32 √10 (15)
Step-by-step explanation: Solve the rational equation by combining expressions and isolating the variable x.
So, this problem asks us to construct an equation that relates the amount of money left to the amount of weeks that has gone by. First, let's assign variables. Let y be the amount of money left, while x is the number of weeks she receives money. The equation would be:
<em>y = 250 - 10x</em>
