B is the answer to this problem
Answer:
a = $13.5
Step-by-step explanation:
Let a = adult tickets
Let c = children tickets
Translating the word problem into an algebraic equation;
<u>For the Martinez family;</u>
2a + 3c = $60
<u>For the Wright family;</u>
3a + 5c = $95.5
Thus, the simultaneous equations are;
..........equation 1
.........equation 2
We would use substitution method to solve;
From equation 2, we make a the subject of formula;
3a = 95.5 - 5c
a = (95.5 - 5c)/3
<em>Substituting the value of "a" into equation 1, we have;</em>
2[(95.5-5c)/3] + 3c = 60
Multiplying all through by 3;
2(95.5 - 5c) + 9c = 180
191 - 10c + 9c = 180
191 - c = 180
c = 191-180
c = $11
To find the value of a;
2a +3c = 60
<em>Substituting the value of "c" into the equation, we have;</em>
a = $13.5
<em>Therefore, the cost of an adult movie ticket is $13.5. </em>
18.39 is 5.58% of 329.64.
We have to find that 18.39 is what percent of 120?
First, make the assumption that 329.64 is 100% as it is our output value.
We next represent the value we seek with x, therefore
100% = 329.64
And, x% = 18.39
Now, we get pair of simple equations
100% = 329.64 ........(1)
x% = 18.39 ........(2)
Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);
100% / x% = 329.64 / 18.39
Taking the reciprocal of both sides, we get
x% / 100% = 18.39 / 329.64
or x = 5.58%
Hence, 18.39 is 5.58% of 329.64.
To learn more about percentages, visit: brainly.com/question/14319057
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Answer:
Step-by-step explanation:
V=4/3πr^3
V=1.333×3.14×27ft
V=113.04ft