Answer:
Zach earns $10 and for the pair of boots Zach earns $15
Step-by-step explanation:
Let be x the number of pairs of shoes
Let be y the number of pairs of boots
Then we can establish the following system of equations with the data of the statement:
We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:
For y replacing in the first equation the value of x and solving for y:
So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15
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The inverse of the equation y = x² - 4, x≤ 0 is 
<h3>How to determine the inverse of the equation?</h3>
The equation is given as:
y = x² - 4, x≤ 0
Swap the x and y values
x = y² - 4
Add 4 to both sides
y² = x + 4
Take the square root of both sides
Hence, the inverse of the equation y = x² - 4, x≤ 0 is
Read more about inverse equations 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>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
4x² + 9x - 1 = 0
<u>Step 2: Define variables</u>
a = 4
b = 9
c = -1
<u>Step 3: Find roots</u>
- Substitute:
- Exponents:
- Multiply:
- Subtract:
Answer:
5 inches
Step-by-step explanation:
The volume of a cone formula is V = (1/3)(base)(height). Thus, 3V =(base)(ht).
We want to calculate the height of the cone. Divide both sides of
3V =(base)(ht) by (base), obtaining 3V/(base) = ht.
Substituting 12 in^3 for V, and 2.25pi for (base), we get:
12 in^3
------------ = 5.33 in, or, to the nearest inch, 5 inches.
2.25 pi
Note: The diameter of the cone is 3 inches. The area of the base is pi*r^2, so we must divide d = 3 inches by 2 to obtain the radius: 1.5 in. Then r^2 = 2.25 in^2.
It's obviously going to be a multiplication property, because multiplication is being used here.
It's not multiplicative inverses. (this is when two numbers, specifically something like 2 and 1/2, multiply to make 1)
It's also not the distributive property. An example of that would be if you had 5(3+8) and you multiplied the 5 into each term inside the parentheses to get 15+40.
The correct answer would be the associative property of multiplication<em /><em>,</em> which states that you can multiply numbers together in any order. Here, we have 5 times (3 times 8), but the parentheses can be ignored because of this property. Then we would go ahead and just do the 5 times 3 to get the 15×8.
