Answer:
Mrs.Harper bought 87.3 key chains which rounds up to 240.075
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+14=7x+32−3x
x+14=7x+32+−3x
x+14=(7x+−3x)+(32)(Combine Like Terms)
x+14=4x+32
x+14=4x+32
Step 2: Subtract 4x from both sides.
x+14−4x=4x+32−4x
−3x+14=32
Step 3: Subtract 14 from both sides.
−3x+14−14=32−14
−3x=18
Step 4: Divide both sides by -3.
−3x/−3=18/−3
x=−6
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.
20 in I’m for sure on this answer