Answer:
six million
Step-by-step explanation:
Answer:
13. b. 4 + 5x = 29; $5.
14. c. 74 + w = 3w + 6; 34 pounds.
15. b. $42.5.
Step-by-step explanation:
13. 4 + 5x = 29
5x = 29-4 = 25
x = 5.
14. 74 + w = 3w + 6
68 = 2w
w = 34.
15. Let x be the money he got last year. Then:
2x + 5 = 90
2x = 85
x = $42.5.
5 thousands in 5,000 ones.
1a:
580 - (580 × .1) - 20
580 - (58) - 20
522 - 20
502
1b:
990 - (990 × .25) - 20
990 - (247.5) - 20
742.5 - 20
722.5
I'm not sure how to solve #2.
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.
