Answer:
Below
Step-by-step explanation:
First I found the area of the portion that extends off (if that makes sense??)
It is a triangle, so use A = bh/2
A = (2)(6) / 2
= 6 cm^2
Next I found the area of the rectangle using A = LW
A = (6)(3)
= 18 cm^2
Total area = 18 + 6
= 24 cm^2
Hope this helps! Best of luck <3
Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3(x - 2) + 8 = 2(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- (Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
- Combine like terms: 3x + 2 = 2x + 10
- {Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
- [Subtraction Property of Equality] Subtract 2 on both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) + 8 = 2(8 + 5)
- (Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
- Multiply: 18 + 8 = 26
- Add: 26 = 26
Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
Answer:
See below
Step-by-step explanation:
Domain: set of x values
Range: set of y values
Function: no two x values are the same
Line 1:
Domain: {3, 4, 5}
Range: {1, 2, 3, 4}
Function: no since there are two points with x-coordinate 3
Line 2:
Domain: {-1, -2, 1, 2}
Range: {1, 3}
Function: yes since all x-coordinates are different
Line 3:
Domain: {-2, -1, 0, 1, 2}
Range: {0, 1, 4}
Function: yes since all x-coordinates are different
They would cost $8.75. If you take out 30% from the original price, that is how much they would be.
If we know that Pedro bought 1
pounds of red sand, and 5
pounds of brown sand, and they both cost $4.60, then we just have to add the individual amounts of sand, since they cost the same.
So Pedro bought
lbs of sand overall. Now, we just need to multiply the cost per pound by the total amount of sand he bought.
Pedro spent $31.05 on sand, which is answer choice B.
Hope that helped =)
