The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert ticket sales during two class periods. if x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

The cost for each adult ticket is $8 and this can be determined by using the substitution method and the given data.

Given :

The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert ticket sales during two class periods.

The following steps can be used in order to determine the cost for each adult ticket:

Step 1 - Write the given equation.

2y = 48 - 5x   --- (1)

3x + 2y = 32   --- (2)

Step 2 - Now, substitute the value of 2y in equation (2).

3x + 48 - 5x = 32

48 - 32 = 2x

x = $8

Step 3 - Now, substitute the value of 'x' in equation (1).

2y = 48 - 5(8)

2y = 48 - 40

2y = 8

y = $4

For more information, refer to the link given below:

link

Y can be 4 because:

2y = 2*4 = 8

48 - 8 = 40

After that we calculate using 5x:

5x = 40

x = 40 / 5

x = 8

The same logic and numbers can apply to the second equation:

2y = 2*4 = 8

32 - 8 = 24

Now we work with 3x:

3x = 24

x = 24 / 3

x = 8

Hope it helped,

Happy homework/ study/ exam!

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .