The correct answer is –6x + 15 < 10 – 5x.
We can tell this by solving for x.
–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.
-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides
-x + 15 < 10 ----> subtract 15 from both sides
-x < -5 ----> Divide by -1
x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).
Answer:
6.32 hours
Step-by-step explanation:
-5.4v+0.3v= -5.1v
Because both numbers have a common variable of 'v,' they can be combined.
Answer:
C=-17
Step-by-step explanation:
-390-52=-442
-442/26=-17
-17
Operations are performed according to the Order of Operations. Sometimes the mnemonic PEMDAS or BIDMAS is used to remind you what the order is.
P/B - parentheses/brackets. The content of these is evaluated first.
E/I - exponents/indices. Exponentiation is done first, right to left: a^b^c = a^(b^c).
MD/DM - multiplication and division are done in order of appearance, left to right. Each has equal priority, neither is done before the other unless it appears in the expression first. a/bc = (a/b)c. ab/c = (ab)/c
AS - addition and subtraction are done in order of appearance, left to right. Each has equal priority.
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When functions are involved (sin( ), log( ), sqrt( ), for example), their arguments are evaluated according to the order of operations, then the function is evaluated, then the remainder of the operations are performed. For example, sin(a)^2 = (sin(a))^2. Sometimes, this is written sin^2(a).
When functions are written without parentheses around their arguments, it must be assumed that the function only applies to the first entity following the function name. log ab+c/d = (log(a)*b)+(c/d), for example, or √3x = (√3)x.
