The youngs decided to give their children a weekly allowance that is directly proportional to a child's age their six year old daughter receives an allowance or 4.50 what is there 11 year old son's allowance each week

$8.25

Step-by-step explanation:

daughter's age determines that for each year the allowance increases by 0.75

Son's Allowance= 8.25

Step-by-step explanation:

The general equation is

Allowance = Age * a base amount.

So the six year old has givens

Allowance = 4.50

Age = 6

Base amount = x

4.50 = 6 * x         Divide by 6

4.50 / 6 = 6 x/6  Do the division

0.75 = x

So every year is worth 75 cents.

Eleven year Old

Allowance = ?? = y

Base amount = 0.75

age = 11

Allowance = Age * base Amount

y =11 * 0.75

y = 8.25

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

< 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⭐