Answer:
Advance tickets=$25
Same-day tickets=$15
Step-by-step explanation:
Complete question below:
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?
Let
advance tickets=x
Same-day tickets=y
Combined cost of advance and same-day tickets=$40
It means,
x+y=40 Equ (1)
25 advance tickets and 30 same-day tickets=$1075
It means,
25x+30y=1075 Equ(2)
From (1)
x+y=40
x=40-y
Substitute x=40-y into (2)
25x+30y=1075
25(40-y)+30y=1075
1000-25y+30y=1075
5y=1075-1000
5y=75
Divide both sides by 5
5y/5=75/5
y=15
Recall,
x+y=40
x+15=40
x=40-15
=25
x=25
Advance tickets=$25
Same-day tickets=$15
Check
25x+30y=1075
25(25)+30(15)=1075
625+450=1075
1075=1075
B. 100x2 + 49y2
C. 100x2 - 49y2
D. 100x2 + 55y2
Answer:
To find the dimensions of the flower bed, we can set up an equation based on the given information. Let’s assume the length of the shortest side is x. According to the problem, one side is twice the length of the shortest side, which means it is 2x, and the third side is 15 feet more than the length of the shortest side, which means it is x + 151.
The perimeter of a triangle is the sum of all its sides. In this case, we have:
x + 2x + (x + 15) = 143.
Simplifying the equation, we get:
4x + 15 = 143.
Subtracting 15 from both sides of the equation, we have:
4x = 128.
Dividing both sides of the equation by 4, we find:
x = 32.
Now that we know the value of x, we can find the lengths of all three sides:
Shortest side: x = 32 feet.
Side twice the length of the shortest side: 2x = 64 feet.
Third side: x + 15 = 47 feet.
Therefore, the dimensions of the flower bed are approximately 32 feet, 64 feet, and 47 feet.
96 cm3
144 cm3
288 cm3
Answer:
4/9
Step-by-step explanation:
There are
4+3+2 = 9 balloons
The fraction that are red = red balloons/ total balloons
fraction red = 4 red/9 total
4/9