Answer: The correct option is (A) 
Step-by-step explanation: Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.
We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.
Also, we are to find the number of weeks.
The number of weeks it will take Raymond to have only 24 books left is represented by 'w'.
We have
number of books read by Raymond is 1 week = 3.
So, number of books read by Raymond is w weeks = 3w.
Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be
According to the given information, we get
thus, the required equation is 
and number of weeks is 32.
Option (A) is correct.
Yes, 13 is correct
If you draw the right triangle, the two legs will be 5 and 12.
5 and 12 are parts of a Pythagorean triple. 13 completes the triplet.
Answer:
Let "x" be the number of people who can go to the amusement park.
So we have: 19 + 14x ≤ 180. This inequality basically means that the parking cost plus the cost of the tickets for every person cannot cost more than 180 dollars.
Solving this inequality, we get:
19 + 14x ≤ 180
14x ≤ 161
x ≤ 11.5
Obviously, we know that we can't have "half" a person, so the most people who can come to the amusement park would be 11 people, and the answer would be: x ≤ 11
Hope this helps!
<h3>
Answer: 80 meters</h3>
This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).
So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
x^2 + (60)^2 = (100)^2
x^2 + 3600 = 10000
x^2 = 10000 - 3600
x^2 = 6400
x = sqrt(6400)
x = 80
Each smaller right triangle has side lengths of 60, 80, 100
Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.
