Answer: 95 adult tickets and 40 child tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
The cost of an adult ticket is $12 and the cost of a child ticket is $5.
The ball game sold $1,340 in tickets one Saturday. It means that
12x + 5y = 1340- - - - - - - - - - 1
The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. It means that
x = 2y + 15
Substituting x = 2y + 15 into equation 1, it becomes
12(2y + 15) + 5y = 1340
24y + 180 + 5y = 1340
24y + 5y = 1340 - 180
29y = 1160
y = 1160/29
y = 40
x = 2y + 15 = 2 × 40 + 15
x = 95
The statement that apply is that the volume of the cone is One-third the volume of the cylinder
<h3>How to find the volume of a cone and cylinder?</h3>
volume of a cone = 1 / 3 πr²h
where
- r = radius
- h = height of the cone
Volume of a cylinder = πr²h
where
The cone and the cylinder has the same base and height. Therefore, the radius and height are the same .
volume of the cylinder = 84π
Therefore, the volume of the cone is One-third the volume of the cylinder.
learn more on volume here: brainly.com/question/16031618
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Answer:
The total route is 8 kilometers.
Step-by-step explanation:
Let the distance of the total route be x
Marta has gone for a walk and has covered three quarters of the total route so far. This means that she has covered a distance of
3/4 × x = 3x/4 kilometers
she still has 2 kilometres to walk. This means that the total route or distance = the sum of the distance that she covered already and the distance she has remaining. Therefore,
x = 3x/4 + 2
x - 3x/4 = 2
(4x - 3x) / 4 = 2
Cross multiplying
4x - 3x = 4 × 2
x = 8
The total route is 8 kilometers.
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