Answer:
30% of 120
= 0.3*120
= 36
120 - 36 = 84 (discounted adult ticket)
60% of 120
= 0.6*120
= 72
120 - 72 = 48 (discounted childrens ticket)
84*2 = 168
48*3 = 144
168 + 144 = 312
he pays 312
Step-by-step explanation:
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A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
11/4 is the mixed fraction of that
The exact form is:
-37/10
The decimal for is:
-3.7
The mixed number for is:
-3 7/10
