Ashley had a summer lemonade stand where she’s so small cups of lemonade for 1.25 and large cups for 2.50. if ashley sold a total of 155 cups of lemonade for $265 how many cups of each type did she sale

Ashley sold 98 small cups of lemonade and 57 large cups of lemonade

Let "x" be the number of small cups sold

Let "y" be the number of large cups sold

Cost of 1 small cup = $ 1.25

Cost of 1 large cup = $ 2.50

Given that she sold a total 155 cups

Therefore, we get,

x + y = 155 ------ eqn 1

She sold the cups for $ 265

Therefore, we can frame a equation as,

number of small cups sold x Cost of 1 small cup + number of large cups sold  x Cost of 1 large cup = 265

1.25x + 2.5y = 265 ----- eqn 2

Let us solve eqn 1 and eqn 2

Divide eqn 2 by 1.25

x + 2y = 212 ------ eqn 3

Subtract eqn 1 from eqn 3

x + 2y - x - y = 212 - 155

Substitute y = 57 in eqn 1

x + 57 = 155

x = 155 - 57

Thus Ashley sold 98 small cups of lemonade and 57 large cups of lemonade

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 answer is 24

step-by-step explanation: