Answer:
m =
Step-by-step explanation:
distribute parenthesis on both sides
ac + am = 2c + 6m ( collect terms in m on left side )
subtract 6m from both sides
ac + am - 6m = 2c ( subtract ac from both sides )
am - 6m = 2c - ac ( factor left side )
m(a - 6) = 2c - ac ( divide both sides by (a - 6))
m =
Answer:
6.31 mi
Step-by-step explanation:
The diagram below explains the solution better.
From the diagram,
C = starting point of the race.
A = end of the first part of the race.
B = end of the race.
Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.
Cosine rule states that:
where A = angle A = <A
Given that
b = 5.2 miles
c = 2.0 miles
<A = 115° (from the diagram)
Hence,
The straight-line distance between the starting point and the end of the race is 6.31 mi
Answer:
The amount of calories Lucie will burn by jumping for 1 minute is 8 calories
Step-by-step explanation:
The given data values are;
Minutes Calories Burned
40 320
80 640
120 960
160 1280
The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;
40 minutes of jump rope will yield 320 calories burnt
Therefore we have;
1 minute of jump rope will yield 320/40 = 8 calories burnt
The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.