If the equal is 55x + 35y = 200
x: time-driven at 55 miles/hour
y: time-driven at 35 miles/hour
If the car spends 2.5 hours at 35 miles per hour, then it drove:
55x + 35(2.5) = 200
55x =35
y = 112.5
There the drive spent about 2.5-hour driving at 55 mph.
Hope it helps!
Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)
Answer:
15. {1, 3, 5, 7}
16. nothing empty set { }
17. {0, 1, 2, 4, 5, 6, 7, 8, 10}
Step-by-step explanation:
the U means combining the sets that fit the criteria
the upside down U means what fits both criteria
for 16, it asks for contradicting criteria so there is nothing in the set.
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Answer:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
Step-by-step explanation:
There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.
The first
A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
The second:
A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
