Answer:
x ≥ -7/3
Step-by-step explanation:
<h3>General Formulas and Concepts:</h3>
Pre-Algebra
<h3>Order of Operations: BPEMDAS</h3>
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Step-by-step explanation:
Step 1: Define Inequality
-15x + 4 ≤ 39
Step 2: Solve for x
Subtract 4 on both sides: -15x ≤ 35
Divide -15 on both sides: x ≥ -7/3
Here we see that any value x greater than or equal to -7/3 would work as a solution to the inequality.
Answer:
12 ft 2 in.
Step-by-step explanation:
Conversion: 1 ft = 12 in.
Add the lengths of the boards.
4 ft 10 in. + 2 ft 11 in. + 4 ft 5 in. =
= 4 ft + 2 ft + 4 ft + 10 in. + 11 in. + 5 in.
= 10 ft + 26 in.
= 10 ft + 24 in. + 2 in.
Since 1 ft = 12 in., then 24 in. = 2 ft.
= 10 ft + 2 ft + 2 in.
= 12 ft 2 in.
Prime factors are factors of a composite number that are indivisible except by the number 1 or the number itself. The answers to your questions are the following:
1. Yes, it is possible especially for very large numbers.
2&3. No, because as mentioned previously, the default prime factors of numbers are 1 and the number itself. For example, 2 is a prime number. Its factors are 1 and 2.
4. Prime factorization are useful in fields of encryption. They make use of the basic prime numbers for the arithmetic modulus with the general equation: n=pq.
x=8
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.