Monica is shopping for candy for her wedding and needs lollipops and gummy bears for a display she is making for the reception. lollipops are $1 per pound and gummy bears are $0.75 per pound. she knows she wants to spend exactly $15 on candy. if she spent $9 on lollipops, which of the following is the number of pounds of gummy bears she purchased?   6  8  9  12

We have been given that she wants to spend exactly $15 on candy.

Also, she spent $9 on lollipops. It means she spent  on gummy bears.

Also, we have been given that the cost of gummy bears are $0.75 per pound.

Thus, in 1$ she can purchase pounds of gummy bears.

Hence, in $6, she can purchase

Therefore, she purchased 8 pounds of gummy bears.

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

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!