3 wouldn’t belong because they all have solutions except for that one
y = kx is the formula for direct variation
8 = k*20
divide by 20
8/20 =k
divide by 4
2/5 =k
y = 2/5 x
formula: y = 2/5x
b) y=2/5x
y = 2/5 *7
y = 14/5
or as a mixed number 2 4/5
Answer:
7.28 miles
Step-by-step explanation:
Suppose the distance at closest approach is represented by x. Then the distance to the point of closest approach at the first sighting is ...
d1 = x·tan(62°)
At the second sighting, the distance to the point of closest approach is ...
d2 = x·tan(38°)
The difference of these distances is 8 miles, so we have ...
d1 -d2 = 8 = x(tan(62°) -tan(38°))
Dividing by the coefficient of x, we find ...
x = 8/(tan(62°) -tan(38°)) ≈ 7.2764 . . . . miles
The point of closest approach is about 7.28 miles from the landmark.
Answer: she has $20 left now.
Step-by-step explanation:
The total amount of money that Kathryn had yesterday was 105 dollars.
She first spent 1/3 of it at the mall. This means that the amount of money that she spent at the mall is
1/3 × 105 = $35
The amount left after her shopping would be 105 - 35 = $70
Later, she went to the movies and spent 5/7 of what was left after her shopping. This means that the amount of money that she spent at the movies is
5/7 × 70 = $50
The amount that she has left now is
70 - 50 = $20
