Answer:
Step-by-step explanation:
Letting "a" and "c" represent the costs of adult tickets and child tickets, the problem statement gives us two relations:
3a +5c = 52
2a +4c = 38
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We can solve this system of equations using "elimination" as follows:
Dividing the first equation by 2 we get
a +2c = 19
Multiplying this by 3 and subtracting the first equation eliminates the "a" variable and tells us the price of a child ticket:
3(a +2c) -(3a +4c) = 3(19) -(52)
c = 5 . . . . . . collect terms
a +2·5 = 19 . . substitute for c in the 3rd equation above
a = 9 . . . . . . subtract 10
One adult ticket costs $9; one child ticket costs $5.
<h2><u>Solution </u><u>-</u><u>:</u><u> </u></h2>
<u>Example </u><u>-</u><u>1</u><u> </u>
<u>Here </u><u>we </u><u>have </u><u>,</u><u>,</u><u>,</u><u> </u>
<u>solve </u><u>-</u><u>;</u><u> </u>
<u>6</u><u>x</u><u> </u><u>^</u><u>9</u><u>×</u><u>1</u><u>/</u><u>5</u>
<u></u>
<u>Convert </u><u>on </u><u>radical </u><u>form </u>
<u></u>
<u>Example </u><u>-</u><u>2</u><u> </u>
<u></u>
<h2>__________________</h2><h3>
<u>More </u><u>Basic </u><u>Information </u><u>-</u><u>:</u><u> </u></h3>
- hair in the question 3x is called radicant and five is called the index of radical. and in second question X is radicant of the number and five and two are index of the number.
<u>types </u><u>of </u><u>Radical </u><u>-</u><u>:</u><u> </u>
- pure radical
- mixed radical
- unequal radical
- equal radical
<u>rationalization </u>
- the operation of multiplication of a radical with the other radical to get product a rational number is called rationalisation.
<u>other </u><u>name </u>
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
On further simplification, we get
Therefore, the distance between the given points is units.
You would have to do 500x 4 which is 2000
Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4