The number of presale tickets sold is 271
<em><u>Solution:</u></em>
Let "p" be the number of presale tickets sold
Let "g" be the number of tickets sold at gate
<em><u>Given that, total of 800 Pre-sale tickets and tickets at the gate were sold</u></em>
Therefore,
Presale tickets + tickets sold at gate = 800
p + g = 800 ------ eqn 1
<em><u>Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets</u></em>
Therefore,
Number of tickets sold at gate = twice the number of pre-sale tickets - 13
g = 2p - 13 ------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 2 in eqn 1
p + 2p - 13 = 800
3p -13 = 800
3p = 800 + 13
3p = 813
p = 271
Thus 271 presale tickets were sold
The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.
<h3>What is a right-angle triangle?</h3>
If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.
From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.
From the Δ ABC we found;
tan 45° = AB/BC
1=AB/BC
AB=BC
sin 45° = AB/AC
(1/√2)=AB/AC
AC = √2 AB
From the graph, it is observed that
AB=BC =3 units
AC= √2 AB
AC = 3√2 units
Hence, the measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.
To learn more about the right-angle triangle, refer;
brainly.com/question/3770177
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X² + 11x + 28 + x² + 13x + 40
combine like terms
x² + x² = 2x²
11x + 13x = 24x
28 + 40 = 68
2x² + 24x + 68 is your answer
if you want it simplified:
2(x² + 12x + 34)
hope this helps
Step-by-step explanation:
This is a probability related problem.
Probability is the likelihood of an event to occur;
Pr = 
The sample space here is from 1 to 25 which is 25
A.
Pr of a card marked 8; we have just 1 possible outcome;
Pr(8) = 
B.
Pr of drawing a card that is a multiple of 5;
Multiples of 5 = 5, 10, 15 and 25
Pr (multiples of 5) = 
C.
Pr of drawing a card with odd numbers:
Number of odd numbers between 1 and 25 = 13
Pr(odd numbers) = 
D.
Pr of drawing a number with square number on it;
Square numbers between 1 and 25 = 1, 4, 9, 16 and 25
Pr(square numbers) = 
= 
You will need to drain 1016.308 gallons an hour
