The simplification form of the provided expression is 108 after applying the integer exponent properties.
<h3>What is integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an expression:
= 108
Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.
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Step-by-step explanation:
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Assumptions
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Let x be the amount of 25% orange juice
Let y be the amount of 10% orange juice
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There are 15 litres of 13% orange juice
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x + y = 15
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The 15 litres of juice is 13% orange juice
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0.25x + 0.1y = 15 x 0.13
0.25x + 0.1y = 1.95
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Rewrite the equations and solve for x and y
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x + y = 15 ----------------------- (Equation 1)
0.25x + 0.1y = 1.95 ----------- (Equation 2)
(Equation 1):
x + y = 15
x = 15 - y ----------- (Substitute into Equation 2)
0.25 (15 - y) + 0.1y = 1.95
3.75 - 0.25y + 0.1y = 1.95
0.15y = 1.8
y = 18 ÷ 0.15
y = 12 ------------- (substitute into Equation 1)
x + y = 15
x + 12 = 15
x = 15 - 12
x = 3
x = 3 and y = 12
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Answer: 3 liters of 25% of orange juice with 12 liters of 10% orange juice
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Answer:
Your answer is 15
Have a great day!
Step-by-step explanation:
