Jamaal spent x minutes today practicing his guitar and y minutes today on homework. if the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
a. x + y < 45
b. x + y > 45
c. x + y ≤ 45
d. x + y ≥ 45

Let

x> the time  spend practicing his guitar

y> the time  spend on homework  

we know that

The solution of the inequality is the shaded area in the attached figure

(remember that the time can not be negative)

the answer is the option D

 The correct option is (d).

Step-by-step explanation:  Given that Jamaal spent x minutes today practicing his guitar and y minutes today on homework.

We are to select the inequality that best represents his practice time if the total time he spent on both is 45 minutes or more.

Since Jamaal spent 'x' min practicing guitar and 'y' min on homework, so the total time spent by him on both will be

Since he can spend 45 minutes or more on both, so (x+y) will be either greater than or equal to 45.

Therefore, the inequality that best represents his practice time is

Thus, the required inequality is

Option (d) is correct.

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)