parisa sets her marbles in groups od equal size on the desk. after she arranged the marbles in groups of 3, she found that there were 2 marbles left. then she arranged the marbles in groups of 5, and again there were 2 marbles left. at least how many more marbles does she need so that theere won't be any left when she arranges them in groups of 3 and in groups of 5

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

x = 3 ± √(5+y)