<span>If tickets for the upper deck are 75% of the cost of tickets for the lower deck and lower deck tickets are $42, then tickets for the upper deck $31.50 each. Therefore the answer cannot be A or C, because both of those options misstate the cost of the upper deck ticket. The answer also cannot be D, because it expresses the inequality when the combined number of tickets is greater than $800, which is not what was asked for.
The correct answer is B. 42x + 31.5y ≤ $800. This gives the correct price for upper deck tickets and expresses the correct inequality.</span>
Answer:
the answer is D. 40
Step-by-step explanation:
5 1/2 + p = 6
subtract 5 /12 from each side
5 1/2 - 5 1/2+ p = 6 - 5 1/2
p = 6 - 5 1/2
borrow from the 6
p = 5 2/2 - 5 1/2
p = 1/2
We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5
We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°
This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
1/5 cups of sugar are used for every cup of water.
