Juan is buying flowers for his mother. He has $18 to spend and sees that roses are $3 each and camations are $1.50 each. He wants to buy 3 times as many camations as roses and spend all of his money on Towers. Write a Ssystem of equations that models this situation. Is there a viable solution that meets Juan's conditions? Explain. 14 points)

 System of equations to model the situation is there a viable solution that means Joannes condition explain

System of Equations

3x + 1.5y = 18 Equation 1

x = 3y ... Equation 2

This is not viable

Step-by-step explanation:

Let us represent

Number of roses = x

Number of camations = y

Juan is buying flowers for his mother. He has $18 to spend and sees that roses are $3 each and camations are $1.50 each.

$3 × x + $1.50 × y = $18

3x + 1.5y = 18 Equation 1

He wants to buy 3 times as many camations as roses

y = 3x Equation 2

Therefore:

System of Equations

3x + 1.5y = 18 Equation 1

x = 3y ... Equation 2

This is not viable

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

8 2/3 is the answer

step-by-step explanation: just use a calculator