At the theater, fred purchased x popcorns and y drinks. he spent a total of $26. the equation below describes the relationship between the number of popcorns and the number of drinks purchased.

4x+3y=26

the ordered pair (5,2) represents the solution of the equation. what does the solution (5,2) represent?

a) popcorn costs $5 each and drinks costs $2 each.

b) fred purchased 2 popcorns and 5 drinks

c) fred spent $5 on popcorns and $2 on drinks

d) fred purchases 5 popcorns and 2 drinks.

Apark is in the shape of a rectangle. the park authorities are planning to build a 2-meter-wide jogging path in the park (shown as the shaded region in the image). what is the area of the jogging path? plz

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

What are the solutions of the equation? 5z^2 + 9z - 2 = 0 a. 1, -2 b. 1, 2 c. 1/5, -2 d. 1/5, 2