Answer:
x = -19/6
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>
2x + 10 = -4x - 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 4x on both sides: 6x + 10 = -9
- Subtract 10 on both sides: 6x = -19
- Divide 6 on both sides: x = -19/6
<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>: 2(-19/6) + 10 = -4(-19/6) - 9
- Multiply: -19/3 + 10 = 38/3 - 9
- Add/Subtract: 11/3 = 11/3
Here we see that 11/3 does indeed equal 11/3.
∴ x = -19/6 is the solution to the equation.
This is the concept of algebra. Given that Holly has 30 pencils, the total number of pencils that Holly remained with after she gave her friends 6 pencils are:
Total=30-6=24 pencils
The fraction of pencils that need to be sharpened is 3/8
The number of pencils represented by this fraction will be:
(fraction of un-sharpened pencils)×(total number of remaining pencils)
3/8×24
=9 pencils
therefore we conclude that 9 pencils are not sharpened.
Answer:
b 17/18
Step-by-step explanation:
Solve the one's in bracket then later solve everything together
Answer:
80 cm
Step-by-step explanation:
The perimeter of parallelogram LMNO
Is calculated using the formula
Perimeter = 2(a + b)
a = 18 cm
b = 22cm
Perimeter = 2(18 + 22)
= 2(40 cm)
= 80 cm
The perimeter of the parallelogram = 80 cm
