8. Ten friends go out for dinner. The total cost of the meals is $141. Some friends have three-course meals and the rest have two-course meals. Each
of the three-course meals costs $15 and each of the two-course meals
costs $12. The number of people who have three-course meals is x, so the
number of people who have two-course meals is 10 - x. How many three
course meals are possible?

2 three-course meals

20 three-course meals
e

7 three-course meals

5 three-course meals

7 three-course meals

Step-by-step explanation:

7 x 15= 105

141-105= 36

36/12= 3

7+3= 10

So total, there are 10 meals; 7 three-course and 3 two-course

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

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