Help I cant figure out how to do this type of problem
1 answer:
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Answer:
$4
Step-by-step explanation:
The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):
7a +16s = 120 . . . . . . . . price for the first purchase
13a +9s = 140 . . . . . . . . price for the second purchase
Using Cramer's rule, the value of s can be found as ...
s = (120·13 -140·7)/(16·13 -9·7) = 580/145 = 4
The cost of a student ticket is $4.
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<em>Comment on Cramer's Rule</em>
Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.
The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.
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Of course, graphical methods can be quick and easy, too.
Lets get started :)
Diameter = 2.5 ft
Radius =
a) The Circumference formula of a circle is given in the picture below, we can plug-in the given information
C = 2
(1.25) or 2.5
≈ 7.85 ft
(we can leave the answer in terms of pi {})
b) We divide the total number of distance the tire will travel by the circumference to find how many times the tire will roll
(I have used the value in feet because we found the circumference in feet units and notice that I took the value of circumference to be 2.5 instead of 7.85, to increase accuracy)
672.2
The tire will rotate 672 times (a tire cannot roll a decimal times, so we take to the nearest whole number) to travel 1 mile
Diameter = 2.5 ft
Radius =
a) The Circumference formula of a circle is given in the picture below, we can plug-in the given information
C = 2
≈ 7.85 ft
(we can leave the answer in terms of pi {
b) We divide the total number of distance the tire will travel by the circumference to find how many times the tire will roll
(I have used the value in feet because we found the circumference in feet units and notice that I took the value of circumference to be 2.5
672.2
The tire will rotate 672 times (a tire cannot roll a decimal times, so we take to the nearest whole number) to travel 1 mile