Jenna has $43 and Heidi has $17.
Step-by-step explanation:
Total amount = $60
Let,
Amount of Jenna = x
Amount of Heidi = y
According to given statement;
x+y=60 Eqn 1
x=2y+9 Eqn 2
Putting value of Eqn 2 in Eqn 1;
Dividing both sides by 3,
Putting y=17 in Eqn 2
Jenna has $43 and Heidi has $17.
Keywords: linear equations, substitution method
Learn more about substitution method at:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Exponential Rule [Multiplying]:
- Exponential Rule [Dividing]:
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Simplify</u>
- [ER] Multiply:
- Add Exponents:
- [ER] Divide:
- Subtract Exponents:
Answer:
The correct option is b. A logarithmic regression function.
Step-by-step explanation:
Given:
Q= λK^β1L^β2M^β3e^μ ………………………. (1)
Equation (1) can be transformed into a logarithmic regression function by taking natural log of both sides as follows:
lnQi = lnλ + β1lnKi + β2lnLi + β3lnMi + μInei ……………….. (2)
Where i = 0, 1, 2….n observations.
Let lnλ = β0 and let μIne = εi and then substituting them into equation (2), we have:
lnQi = β0 + β1lnKi + β2lnLi + β3lnMi + εi ......................(3)
Equation (3) is the logarithmic regression function to estimate the model.
Therefore, the correct option is b. A logarithmic regression function.
Answer:
Step-by-step explanation:
Each side of the square is s meters long.
By the Pythagorean Theorem,
length of diagonal = √(s²+s²) = √(2s²) = s√2 meters
s√2 = 11.3
s = 11.3/√2
perimeter = 4s = 45.2/√2 ≅ 31.96 meters
Answer: About 67.62
Step-by-step explanation:
One liter is equal to about 33.81 ounces. So multiply that number by 2 liters.
2 x 33.81 = 67.62.
hope this helps
