The answer is (d) where x = -1 & 9
8x+(4*30)=6(6+30)
8x+120=6x+180
2x=60
x=30 pounds of coffee
Ariel wants to write 8 entries for her blog. After 2 hours,she has 5 entries left. After 4 hours, she has 2 entries left. Which graph represents ariels remaining entries?
After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left.
If he wants to have 3 seats more in each row it will go from 18 to 21 to 24 etc. In this case the equation will be y=3x+12
Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
