Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figuri
ne. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.
This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.
15x + 30 ≥ 360
5x + 8y ≤ 100
Which solution is valid within the context of the situation?
A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)
This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.
15x + 30 ≥ 360
5x + 8y ≤ 100
Which solution is valid within the context of the situation?
A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)
1 answer:
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Answer:
x ≈ 73.3
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos39° = =
( multiply both sides by x )
x × cos39° = 57 ( divide both sides by cos39° )
x = ≈ 73.3 ( to the nearest tenth )