The drama group has 90 minutes to practice 2 scenes. they want to practice the pirate scene 4 times and each time takes 13 minutes the mermaid scene takes 7 minutes how many full times can the group practice the mermaid scene

They can practice the mermaid scene 5 full times.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality.

So, the product the number of pirate scenes (4) and the time that each pirate scene takes(13), plus the product of the number of mermaid scenes (x) and the time that each mermaid scene takes (7) must be less or equal than 90 (minutes).

4(13) + 7x≤90

Solving for x

52+7x≤90

7x≤90-52

7x≤38

x≤38/7

x≤5.42  

x≤5 times (rounded, since they are full scenes)

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.