A= adult
C= child
3A+C = 38.3
A+3C = 52
There is no logical way to find the value of each other than guess-and-check.
The table in Part A represents y as a function of x. This means that the value of Y is dependent on the value of X. The table can be represented by an equation that describes the relation of X and Y:
or
By substituting any value of X, you get a specific value of Y based from the given relationship, thus Y is a function of X.
For Part B, the value of f(150) is $470 and it represents the total cost for borrowing a rowboat for 150 hours. By substituting the value of x = 150 into the function, you get the total cost:
Answer:
G
Step-by-step explanation:
the perimeter is the sum of all sides so we have
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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:
x = 1/3
Step-by-step explanation:
Step 1: Write equation
8x + 11 = 14 - 1x
Step 2: Solve for <em>x</em>
- Simplify: 8x + 11 = 14 - x
- Add x to both sides: 9x + 11 = 14
- Subtract 11 on both sides: 9x = 3
- Divide both sides by 9: x = 3/9
- Simplify: x = 1/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
8(1/3) + 11 = 14 - 1(1/3)
8/3 + 11 = 14 - 1/3
41/3 = 41/3