Answer:
40 bats sold for $42
26 bats sold for $30
Step-by-step explanation:
x + y = 66
42x + 30y = 2460
solve first equation for y and plug in for y in second equation
42x + 30 (66 - x) = 2460
x = 40
y = 66- 40 = 26
Answer: 
Step-by-step explanation:
The missing figure is attached.
For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.
Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.
Knowing that, you can write the following equation:

Now you must solve for "x" in order to find its value. This is:

Then:

You know that:

Therefore, since you know the value of "x", you can substitute it into
and then you must evaluate, in order to find the measure of the angle A. This is:

3.) 5x-6=0, Add 6 to either side -> 5x=6, divide each side by 5 -> x=6/5 ---- 4.) x+y/3=5, multiple each side by 3 -> x+y=15, move y to the other side -> x=-y+15
Answer:
Each item could be included in a set or not included. That gives 2^5 = 32 ways to choose sets, including 1 set with no items, 5 sets of 1 item, 10 sets of 2 items, 10 sets of 3 items, 5 sets of 4 items, and 1 set of 5 items.
Answer:
<em>The compound inequality that shows the voltage amount the necessary range is
</em>
Step-by-step explanation:
Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.
That means, <u>the voltage amount should be either greater than 3.5 volts or less than 7.2 volts</u>.
Suppose, the amount of voltage is
volts to make the experiment work correctly.
Now, Voltage amount is greater than 3.5 volts means:
or 
and voltage amount is less than 7.2 volts means: 
Thus, the compound inequality by combining the above two inequalities will be: 