Answer:
Step-by-step explanation:
Factorize the denominator
Sum = 4
Product = 3
Factors = 1 , 3 {1*3 = 3 and 1+3 = 4}
x² + 4x + 3 = <u>x² + x</u> + <u>3x + 1*3</u>
= x(x + 1) + 3(x + 1)
= (x + 1)(x + 3)
GCF of the numerator and denominator = (x + 3)
Answer:
500 lb
Step-by-step explanation:
You have to make a proportion:
77 lb is part of the whole weight ( which we don't know) so 77 will go on top
The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)
Then you cross multiply giving you: 7700 = 15.4x
then you divide 15.4 to both sides to isolate x which will give you 500
Well 8.5 + 8.4 = 16.8 miles
Answer:
Infinite points
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-24x - 4y = -164
y = 41 - 6x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em> [1st Equation]: -24x - 4(41 - 6x) = -164
- [Distributive Property] Distribute -4: -24x - 164 + 24x = -164
- [Addition] Combine like terms: -164 = -164
Here we see that -164 does indeed equal -164.
∴ We have an infinite amount of solutions.
Answer:
3/4 is 75/100 or 0.75
Step-by-step explanation:
