The diagram compares the ratio of girls in the chorus to boys in the chorus. (the diagram shows 3 boxes for the girls and 2 boxes for the boys.) if there are 50 students in the chorus, how many are girls and how many are boys?

Using the ratio concept, the number of girls and the number of boys in the chorus is 30 and 20 respectively

The ratio distribution :

The number of girls :

[(3) ÷ (3+2)] × 50

(3 / 5) × 50

= 30 girls

The number of boys :

[(2) ÷ (2 + 3)] × 50

(2 / 5) × 50

= 20 boys

Hence, the number of girls and boys are 30 and 20 respectively

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the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

step-by-step explanation:

because it just is