James is selling candy at a local marketplace. he needs to earn at least $200 to break even. he has already earned $11.25. if the price of one pound of candy is $2.50, how many more pounds of candy, x, does he have to sell to break even?

75.5 pounds

Step-by-step explanation:

He needs 200

He already has 11.25

He needs:

200 - 11.25 = $188.75 more

1 pound of candy costs 2.50, so x pounds would cost 2.50x

This would need to equal 188.75 (the amount he needs to break even). We can write an equation in x and solve:

James needs 75.5 pounds more to break even

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west