Answer:
18 students in 4th grade
15 students in 5th grade
Step-by-step explanation:
1/3 of 45 = 15 students in 5th grade
2/5 of 45 = 18 students in 4th grade
Answer:
-9
Step-by-step explanation:
x² -16 = (x -4)(x +4)
This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).
... For x-4 = ±1, x = 3 or 5
... For x+4 = ±1, x = -3 or -5
The values of x that are ±3 both give |x²-16| = 7, a prime.
The values of x that are ±5 both give |x²-16| = 9, not a prime.
The two values of x that are of interest are x=-3 and x=3. Their product is ...
... (-3)·(3) = -9
<h3>Answer:</h3>
a = -2
<h3>Explanation:</h3>
We want (5-a) to be 20 more than (6a-1). Then we can write ...
... (5-a) = (6a-1) +20
If we add (a-19) to both sides, we get
... -14 = 7a
... -2 = a . . . . . divide by 7
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<em>Comment on the graph</em>
In the attached, we use the variable x, because this graphing calculator likes variables named x and y. We graph each expression and find the place where they both have the same value for the same value of x (the point of intersection). The value of the variable x at that point is -2, the solution we seek.
Two out of four can be represented as:
2/4
OR
1/2
The surface area of a sphere is given by the formula
SA = 4pi r^2 = 4 • Pi • 60^2 = 4Pi 3600 = 14 400 Pi m^2.
This is the solution.
