Answer:
4 tickets were sold
Step-by-step explanation:if you have 100 of anything. 5 sets of 20=100
Answer:
The function
is continuous for all real numbers
Step-by-step explanation:
To know the possible points of discontinuity of this function, we must find out when the denominator of the function is equal to 0.
The denominator is:

Then we equal 0 and clear x

for any real number.
This means that
<em>for all reals numbers</em>.
Therefore, the function
is <em>continuous</em> for all real numbers, that is, it does not have discontinuities.
The graphic of this function is shown in the image
<h2>Plastic Beads = $0.50</h2><h2>Metal Beads = $0.75</h2><h2 />
p = Plastic Beads
m = Metal Beads
Equations:
7p + 5m = 7.25
9p + 3m = 6.75
Make one pair of coefficients the same:
3 * (7p + 5m = 7.25) = 21p + 15m = 21.75
5 * (9p + 3m = 6.75) = 45p + 15m = 33.75
Remove that coefficient;
(45p + 15m) - (21p + 15m) = 33.75 - 21.75
(45p - 21p ) + ( 15m - 15m) = 33.75 - 21.75
24p = 12
24p / 24 = 12 / 24
<h3><u>p = 0.5</u></h3><h3 />
Substitute the result into one of the original equations.
(7 * 0.5) + 5m = 7.25
Rearrange to find the missing value:
7.25 - (7 * 0.5) = 5m
7.25 - 3.5 = 3.75
5m = 3.75
5m / 5 = 3.75 / 5
<h3><u>m = 0.75</u></h3>
10,011,138,124 is the answer
Answer:
A
Step-by-step explanation:
12 / tan 42 = 13.32......
12 / sin 27 = 26.43....
26.43² - 12² = 552.24....
square root of 552.24... = 23.5
23.5 - 13.3 = 10.2