Answer:
The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.
Step-by-step explanation:
A, h, and b are collinear
Answer: x = 5
Step-by-step explanation:
The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.
l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72
Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.
x^2 + 7x - 60 = 0
Apply the quadratic formula

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.
x = 5 and x = -12
An alternate way is just factoring the trinomial to:
(x+12)(x-5) = 0
Answer:
A. 35.69%
B. 62.77%
Step-by-step explanation:
In this case, what we must do is calculate the probability supported with the data in the table.
Part A.
What is the probability that a randomly selected student is a 7th grader?
Here the total is all the students that would be the sum of all the grades, which are 325 students.
the number of 7th graders is 116, so the probability is:
116/325 = 0.3569
that is, 35.69%
Part B: What percentage of the students interviewed play Video games?
The total number of students is the same 325 and of those 204 play video games, therefore:
204/325 = 0.6277
that is, 62.77%