1st integer: x
2nd integer: x+2
Multiply them: x(x+2)=440
X^2+2x-440=0
Use the quadratic formula
x=-22 or x=20
Since x must be a positive integer number, x=20.
Answer:
1st: 20.
2nd: 22
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Answer:
Part A: [0,2], Part B: [2, 4], Part C: [8,10], Part D: 0 ft
Step-by-step explanation:
Part A: The time between 0 seconds to 2 seconds is the time when it's increasing. There is no other time like that.
Part B: The graph shows a straight line so therefore it is staying the same.
Part C: The graph shows a sharp decline.
Part D: Starting from the 10th second, the balloon already hit to ground so it would only make sense for it to stay there...
1/14 is you answer
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We write it out as an equation:
-1 = -2v + 2/3
Rearrange:
-1 -2/3 = -2v
Multiply by negative to equal positive
1 2/3 = 2v
Make 1 into a fraction
3/3 + 2/3 = 2v
5/3 = 2v
10/6 = 2v
5/6 = v
The answer is: v equals 5/6
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>