The Associative Property say that it doesn't matter how we group the numbers (i.e. which we calculate first) when we add
(a + b) + c = a + (b + c)
The Commutative Property say we can swap numbers over and still get the same answer when we add
a + b = b + a
The Distributive Property:
a(b + c) = ab + ac
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-3a + 4b + 5a + (-7b) = -3a + 5a + 4b + (-7b)
<h3>Answer: the commutative property</h3>
Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
31.
Step-by-step explanation:
5+5 = 10 + 1 = 11
12 + 12 = 24 +1 = 25
15 + 15 = 30 + 1 = 31
I don't know I tried to see if that was the pattern. It checks out math wise.
No, the graphs of the lines are not parallel because if you simplify 27x-3y=-81, you get y=9x+27, and in order to have the lines parallel, both equations must have the same "m" in y=mx+b. 6 and 9 do not equal, so no they are not parallel.
Solve for w by simplifying both sides of the equation, then isolating the variable.
w=−4
Let's solve your equation step-by-step.
22=2(w+7)−4w
Step 1: Simplify both sides of the equation.
22=2(w+7)−4w
22=(2)(w)+(2)(7)+−4w (Distribute)
22=2w+14+−4w
22=(2w+−4w)+(14) (Combine Like Terms)
22=−2w+14
22=−2w+14
Step 2: Flip the equation.
−2w+14=22
Step 3: Subtract 14 from both sides.
−2w+14−14=22−14
−2w=8
Step 4: Divide both sides by -2.
−2w
/−2
=
8
/−2
Answer:
w=−4
