This is the concept of simultaneous equations; We are required to create the equations modelling the above information.
Suppose the number of movie tickets was x and the number of meal tickets was y.
Therefore;
Total number of tickets was:
x+y=22
Total amount earned was:
0.5x+2y=25
The simultaneous equations representing the information is:
x+y=22
0.5x+2y=25
Length = 11
Width = 9
Area we need = 126
So Area = length * width
126 = 11 * 9
Now.. this is obviously wrong.. they want us to find the correct length..
126 = L * 9
126/9 = L
L = 14
Now since they ask about how much farther you need to extend, take the final and subtract from the original
14 - 11 = 3
Answer is 3.
Answer:
<em>You would need 10 yards of fabric</em>
Step-by-step explanation:
Answer:
$1689
Step-by-step explanation:
Excess of rent amount over annual property tax bill = annual rent - annual property tax
annual property tax = [(assessed property value / 100) x 1.69]
( $390,000 / 100) x 1.69 = $6591
Annual rent = $690 x 12 = $8280
$8280 - $6591 = $1689
Answer:
x = 8
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>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to 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) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
