Answer:
x = -7/4
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
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<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>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
You need three (3) $100 dollar bills, four (4) $10 bills, and two (2) $1 bills
Answer:
y=7
Step-by-step explanation:
x+y=12
x=5
12-5=7
Answer:
6:8
Step-by-step explanation:
2:6 to find the total number of animals add the numbers 2+6=8
since there are 6 swans
6:8
Answer:
(C) 5 decimeters
Step-by-step explanation:
A therapist is using an elastic band to strengthen a patient's knee after surgery.
The patient's knee can tolerate a maximum of 20 kg i.e. 20000 gm weight of force.
If the elastic band provides 40 gm of weight force for every millimeter of its extension.
then this can be extended up to 
millimeters, which is equal to 5 decimeters.
Therefore, option c is correct. (Answer)
