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:
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Step-by-step explanation:
Answer:
254.3 mm^2
Step-by-step explanation:
Area of a circle: A = π*r^2
π (pi) = 3.14
r (radius) = 9 mm
Substitute 3.14 for pi and 9 for radius:
A = π*r^2
A = 3.14*9^2
A = 3.14*81
A = 254.34 mm^2
Round to the nearest tenth:
254.34 ==> 254.3
Therefore, our final answer is 254.3 mm^2
Hope this helps!
3365900000 : thats the answer
Find the area of the rectangle that makes the master bedroom , bath and closet:
16 x 17 = 272 sq.ft
Subtract the area of the bathroom and hallway:
Bathroom= 10 x 5 = 50 sq. Ft.
Hallway: 7 x 4 = 28 sq.ft.
= 50 + 28 = 78 sq ft.
Area of bedroom and closet = 272 - 78 = 194 sq. Ft.
Now multiply area by price of carpet:
194 x 1.34 = $259.96