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dlinn [17]
3 years ago
5

The Jones family went to a play and paid $74 for 2 adults and 2 children. The Tucker family went to the same play and paid $86 f

or 2 adults and 3 children. Enter the price of an adult ticket.
Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0
The answer is $25.

x - the price of an adult ticket
y - the price of a child ticket

The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86

This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
____
Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25

So, the price of the adult ticket is $25 and the price of the child ticket is $12.
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6 0
3 years ago
Determine the value of x. <br><br> 1) 14.75<br> 2)15.25<br> 3)11.92<br> 4)18.56
Leto [7]
Opposite angles are supplementary, the sum is 180 degrees.
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Hope this helped!
3 0
3 years ago
Given: x + 2y = -6.
wel

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4 0
3 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w
leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

f(x)=6+30x

now we can proceed to solve the cost of the walk for 45 minutes

\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}

now we can input the value into the equation and know the cost for 45 minutes walk

\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0
1 year ago
Three boxes are stacked one on top of the other. One box is 5 feet 10 inches tall , one is 4 feet 2 inches tall and one is 2 fee
katovenus [111]
The boxes would be 12 feet and 3 inches tall
6 0
4 years ago
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