There are 200 oranges and bananas for sale out of fruit market the ratio of the number of oranges to the number of bananas is 2: 3 if 30 oranges and 20 bananas are sold what is the ratio of the remaining oranges to bananas

1 : 2

Step-by-step explanation:

find the total number of bananas/ oranges

sum the parts of the ratio 2 + 3 = 5

divide the total by 5 to find the value of one part of the ratio

= 40 → 1 part of the ratio

2 parts = 2 × 40 = 80 ← number of oranges

3 parts = 3 × 40 = 120 ← number of bananas

After selling 30 oranges, there are 80 - 30 = 50 oranges and

After selling 20 bananas there are 120 - 20 = 100 bananas

ratio of remaining oranges : bananas = 50 : 100 = 1 : 2

Option C

Step-by-step explanation:

The standard form of equation of circle is:

(x-h)^2+ (y-k)^2=r^2

As we only know two points on the circle which are the ends of diameter.

As we know

Radius=Diameter/2

We have to find the length of diameter using the distance formula first to calculate radius. So,

Diameter= √((-11-(+5))^2+(-3-(-3)^2 )

= √((-11+5)^2+(-3+3)^2 )

=√((-6)^2+(0)^2 )

= √36

=6

Now,  

Radius=6/2

=3

As the diameter passes through centre, so the mid-point of diameter will be centre of the circle:

Mid-point=((x_1+x_2)/2,(y_1+y_2)/2)

=((-5-11)/2,(-3-3)/2)

=((-16)/2,(-6)/2)

=(-8,-3)

Putting the values of radius and centre in standard form

(x-h)^2+ (y-k)^2=r^2

(x-(-8))^2+ (y-(-3))^2=3^2

(x+8)^2+ (y+3)^2=9

So the correct answer is option C ..