For Valentine's Day, the student council is going to sell single roses and chocolate hearts. The council must first buy roses and hearts to sell. Each rose costs $0.75 while each chocolate heart costs $0.50 at the store. The council at most $270 to spend on this fundraiser. On average, it takes prepare a rose by wrapping it with a red ribbon and writing a name ribbon. On average, it takes one minute to prepare a chocolate heart by wrapping it and writing a name on the card. The student council has 10 hours to prepare the roses and chocolate hearts. If the student make a profit of $0.80 on each rose and $0.60 on each chocolate many roses and chocolate hearts should they buy, prepare and sell profit. two minutes on the has to at council heart, to how maximize most will

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

no he doesnt because "-16' is negatiive

step-by-step explanation:

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