x = number of 1-cent stamps
y = number of 8-cent stamps
z = number of 12-cent stamps
We have 31 stamps all together, so x+y+z = 31.
"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.
You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x
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x+y+z = 31
x+x-8+z = 31 ... y replaced with x-8
x+x-8+0.5x = 31 ... plug in z = 0.5x
2.5x-8 = 31
2.5x = 31+8
2.5x = 39
x = 39/2.5
x = 15.6
Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).
Answer:
The fourth option gives the result.
Step-by-step explanation:
We have to find f(x) and g(x) from options given such that y = f[g(x)] is equivalent to 
.
Here, the fourth option gives the result.
If 
and g(x) = 2x + 4, then the composite function ![f[g(x)] = \frac{8}{\sqrt{2x + 4}}](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%20%3D%20%5Cfrac%7B8%7D%7B%5Csqrt%7B2x%20%2B%204%7D%7D)
⇒ 
( Answer )
(3x+4)(x+6) is the answer
9:20 + 3:00= 12:00
12:00 + 0:50= 12:50 A.M. Tom's afternoon shift begins
Answer:
The amount of interest Coach Cliffman earned after 3 years is $108.
Step-by-step explanation:
The equation for simple interest is A = P(1 + rt). To determine the revenue earned, subtract the principal amount ($1800) from the total accured amount (principal + interest). The equation for simple interest is A = P(1 + rt), <em>P </em>meaning principal interest, <em>r</em> being the rate of interest per year in decimal form, and <em>t</em> as time in years.
Let P = $1800, r = .02, and t = 3 and you'll end up with a total accrued amount of $1908. Finally, subtract 1908-1800 to get your answer of $108.
