With this information we can set up 2 equations:
x + y = 312 (# of tickets sold for adults + # of tickets sold to adults = 312)
12x + 5y = 2204 ( # of tickets sold for adults times $12 + # of tickets sold to adults times $5 = $2204)
Where x is how many tickets were sold to adults and y how many tickets were sold to children
Now we can solve this system of equations by substitution:
isolate y in the first equation to find its value and plug it in the second equation
x + y = 312
isolate y by subtracting x from both sides:
x - x + y = 312
y = 312 - x
Apply y = 312 - x to the second equation
12x + 5y = 2204
12x + 5( 312 - x) = 2204
12x + 1560 - 5x = 2204
7x + 1560 = 2204
Subtract 1560 from both sides to isolate x
7x + 1560 - 1560 = 2204 - 1560
7x = 644
Divide both sides by 7
7/7x = 644/7
x = 92
Now plugin 92 for x in the first equation to find the value of y
x + y = 312
92 + y = 312
subtract 92 from both sides
92 - 92 + y = 312 - 92
y = 220
x = 92, y = 220
92 tickets were sold to adults and 220 tickets were sold to children
Hope it helps :)
Branliest would be appreciated
Answer:
6 cm and 8 cm
Step-by-step explanation:
Use Pythagorean theorem:
c² = a² + b²
10² = x² + (x+2)²
100 = x² + x² + 4x + 4
0 = 2x² + 4x − 96
0 = x² + 2x − 48
0 = (x − 6) (x + 8)
x = 6 or -8
x must be positive, so x = 6. Which means x+2 = 8.
Answer:
Option D is correct.
In Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.
Step-by-step explanation:
Deductive reasoning is a top-to-down reasoning method that makes its conclusion on the basis of given premise(s) which is/are commonly assumed to be true.
It uses given rules, theorems, conditions, methods etc. to prove that other statements are true or not.
Hence, in Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.
Hope this Helps!!!
Answer:
<em>The 15th term is 10.25</em>
Step-by-step explanation:
<u>Sequences</u>
The given sequence:
-0.25, 0.5, 1.25, 2, 2.75...
can be categorized as an arithmetic sequence. To better know, we try to find a common difference between successive terms:
0.5 - (-0.25) = 0.75
1.25 - 0.5 = 0.75
2 - 1.25 = 0.75
Once we are certain it's an arithmetic sequence, we find the general term by using the formula:
Where n is the number of the term, a1 is the first term, and r is the common difference. We have already found that:
r=0.75
a1=-0.25
The 15th term (n=15) is:
The 15th term is 10.25