Write and solve an equation for the following word problem. Define your variable.
1 answer:
Answer:
The variable is the number of clothes sold 'x'.
The equation is:
The number of clothes sold by Lynn are 74.
Step-by-step explanation:
Let the number of pieces of clothes sold be 'x'.
Given:
Earning of Lynn per cloth is $0.25.
Fixed earning of Lynn per day is $100
Total earning after selling 'x' clothes is $118.50.
Variable: Number of clothes 'x'.
Equation:
Earning of Lynn for 1 cloth = $0.25
∴ Earning of Lynn for 'x' clothes =
Now, total earning of Lynn is the sum of fixed earning and earning from selling 'x' clothes. Therefore,
Total earning = Fixed earning + Earning for 'x' clothes
⇒
Solution:
Add -100 both sides and then divide the result by 0.25 both sides. This gives,
Therefore, the number of clothes sold by Lynn are 74.
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Answer:
5.543 miles
Step-by-step explanation:
The law of cosines can help with this. It relates side "c" of a triangle to the other two sides (a, b) and the angle between them (C).
c² = a² +b² -2ab·cos(C)
c² = 3² + 3² -2·3·3·cos(135°) = 18(1 -cos(135°)) ≈ 30.7279
c ≈ √30.7279 ≈ 5.543 . . . . miles
