Agas station sells a total of 4500 gallos of regular and premium gas in one day. the ratio of gallons of regular gas sold to gallons of premium gas sold is 7: 2. a) write a system of linear equations that represents this situation. b) how many gallons sold were regular gas? how many gallons sold were premium gas?

A)Equation that represents the situation :  7x+2x=4500

B)Regular gas sold = 7x = 7(500)=3500

Premium gas sold = 2x =2(500)=1000

Step-by-step explanation:

We are given that The ratio of gallons of regular gas sold to gallons of premium gas sold is 7:2.

Let the ratio be x

Regular gas sold = 7x

Premium gas sold = 2x

We are also given that A gas station sells a total of 4500 gallons of regular and premium gas in one day.

So, 7x+2x=4500

9x=4500

x=500

A)Equation that represents the situation :  7x+2x=4500

B)Regular gas sold = 7x = 7(500)=3500

Premium gas sold = 2x =2(500)=1000

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐