So what you are trying to find is the certain amount of children tickets and adult tickets. the final amount is a total of $12. This means that a unknown number of children tickets (c) times 1.50 (price of each ticket for children) plus the unknown number of adult tickets (a) times 4.00 (price of each ticket for adults) equals a final cost of $12.00.
Equation: 1.50c+4.00a= 12.00
The answer is 91.44 meters
<h3>Answer: y = (1/2)x+3</h3>
slope = 1/2, y intercept = 3
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Work Shown:
Pick any two points you want on the line.
I'll pick the two points (0,3) which is the y intercept and also the point (2,4).
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Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 3)/(2 - 0)
m = 1/2 is the slope
slope = rise/run = 1/2
rise/run = 1/2 means rise = 1 and run = 2.
This means we go up 1 unit each time we move to the right 2 units.
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Since the slope is m = 1/2 and the y intercept is b = 3, we can say
y = mx+b
y = (1/2)x+3
this is the same as y = 0.5x+3 since 1/2 = 0.5
Answer:
154000
Step-by-step explanation:
2: 2 * 2 * 2 * 2 = 16
5: 5 * 5 * 5 = 125
7: 7
11: 11
composite number := 16 * 125 * 7 * 11 = 154,000
Let the first number be represented by "x".
Let the second number be represented by "y".
"Four times a number..." = 4x
"... minus 5..." = 4x - 5
"... times another number..." = y(4x - 5)
"... is equal to 21." = y(4x - 5) = 21
y(4x - 5) = 21
"Three times the sum of the two numbers (x & y) is 36." = 3(x +y) = 36
3(x + y) = 36
y(4x - 5) = 21
1) solve for "y"
1) y(4x - 5) = 21
2) 4xy - 5y = 21
3) 4xy/4x - 5y = 21/4x
(what you do to one side of the equals sign, you must do to the other so 4x cancels out on the left side, and on the right side you have to divide 21 by 4x)
4) y - 5y/-5 = 5.25x/-5
5) y + y = -1.05x
6) 2y = -1.05x
7) 2y/2 = -1.05x/2
8) y = -.525x
2) substitute "y" in for the second equation
1) 3(x + (-.525x)) = 36
(notice how you now only have x's in this equation)
3) solve for x
1) 3x - 1.575x = 36
2) 1.425x = 36
3) 1.425x/1.425 = 36/1.425
4) x = 25.3
4) finish finding "y" in either one of the equations using the answer you got for "x"
1) y(4(25.3) - 5) = 21
2) y(101.2 - 5) = 21
3) y(96.2) = 21
4) 96.2y = 21
5) 96.2y/96.2 = 21/96.2
6) y = .22
5) check your work by substituting the two answers back into one of the equations
1) .22(4(25.3) - 5) = 21
2) .22(101.2 - 5) = 21
3) .22(96.2) = 21
4) 21.164 = 21
(round down to get the answer)
