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:
3/4 written as a percent would be 75%
All you have to do is divide the numerator and the denominator by 3 and you get your answer which is 1/6
Answer: 15.9
Step-by-step explanation:
Answer:
24th day will be the first day on which Tyler will wear his jackets and scarf to school
Step-by-step explanation:
We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)
<u>Finding the LCM of(3,8)</u>
List all prime factors for each number.
Prime Factorisation of 3 shows:
3 is prime => 
Prime Factorisation of 8 is:
2 x 2 x 2 => 
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new super-set list is
2, 2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 = 24