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When you multiply these numbers with exponents , you can add the powers if the number is the same
so it is = 3 ^ (2+4+6) = 3^12
C. 3^12
1/3 z - 12 = 36
1/3 z - 12 + 12 = 36 + 12
1/3 z = 48
1/3 z = z/3
Then multiply by the denominator, 3 to get 3 on other side of the equation.
3• z/3 = 48 • 3
z = 48 • 3
z = 144.
The solution to your problem is z = 144
Answer:
Step-by-step explanation:
<u>z is directly proportional to x</u>
- z = kx, where k is coefficient
If z = 12 when x = 3
<u>Then we have</u>
So the coefficient is 4
<u>When z = 18, we have</u>
Answer:
The answer is simple
Step-by-step explanation:
The answer is B, on a line graph the order goes from 0, 1, 2, 3 and so on without this order you can't use negative terms without a equation
Answer:
10 and 42
Step-by-step explanation:
The difficulty with word problems is translating them into math.
Let's do that
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The sum of a number and two times a smaller number is 62.
let's call the bigger number b, and the smaller number s
b + 2s = 62
Three times the bigger number exceeds the smaller number by 116
3b = s + 116
-----------------------
Now manipulate one of the equations to isolate the variable
3b = s + 116
Subtract 116 from both sides
3b - 116 = s
substitute for s = 3b - 116 in
b + 2s = 62
b + 2(3b - 116) = 62
Distribute
b + 6b - 232 = 62
combine like terms
7b = 294
Divide both sides by 7
b = 42
to find s plug in b = 42 into
b + 2s = 62
42 + 2s = 62
subtract 42 from both side
2s = 20
divide both sides by 2
s = 10
