Answer:
Fifth graders= 93 shirts
Sixth graders= 156 shirts
Teachers= 51 shirts
Step-by-step explanation:
31% of 300 is 93
52% of 300 is 156
The total number of shirts sold to fifth graders and sixth graders is:
156+93= 249
The number of shirts sold to teachers is:
300-249= 51
Answer (numbers needed in boxes, going from top to bottom):
1
-1
-3
3
Step-by-step explanation:
f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.
1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:

So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.
2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:
x = 0

x = -1
x = 2

Answer:
100:100
Step-by-step explanation:
100 reds and 100 blues are in there
Regular price: $419
Sale price: (1-0.205)($419) = $333.11
The bike will cost $333.11 before tax. You haven't shared the tax rate, but I can at least tell you that the cost of the bike after tax will be
(1.00 + rate as a decimal fraction)*$333.11.
Example: If the tax rate is 7.5%, then the bike will cost (1.00+0.075)*($333.11).
Answer:
The maximum variance is 250.
Step-by-step explanation:
Consider the provided function.


Differentiate the above function as shown:

The double derivative of the provided function is:

To find maximum variance set first derivative equal to 0.


The double derivative of the function at
is less than 0.
Therefore,
is a point of maximum.
Thus the maximum variance is:


Hence, the maximum variance is 250.