Answer:
Area = 24 in²
Perimeter = 24in
Step-by-step explanation:
To find the area given the length of the 3 sides:
a= 8in
b= 6.4in + 3.6in= 10in
c= 6in
Add them together:
8in + 10in + 6in
= 24in²
To find the perimeter you do the same thing:
a= 8in
b= 10in
c= 6in
Add them together
=24in
DO <u>NOT</u> SQUARE THE ANSWER WHEN FINDING <u>PERIMETER</u>
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
7(2x - 5) = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 7: 2x - 5 = 3
- Isolate <em>x</em> term: 2x = 8
- Isolate <em>x</em>: x = 4
<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>: 7(2(4) - 5) = 21
- Multiply: 7(8 - 5) = 21
- Subtract: 7(3) = 21
- Multiply: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 4 is the solution to the equation.
Answer:
y = 5
Step-by-step explanation:
3(у - 3) - 2(у -4) = 4
Distribute
3y -9 -2y +8 =4
Combine like terms
y -1 =4
Add 1 to each side
y-1+1 = 4+1
y = 5
