<span>A) 2a + 3b = 12
B) ab = 6 solving for a
B) a = 6 / b then we substitute this into equation A)
</span><span>A) 12 / b + 3b = 12 </span><span>multiplying this by "b"
A) 12 + 3b^2 = 12b
A) 3b^2 -12b +12= 0 dividing by "3"
A) b^2 -4b + 4 = 0
Factoring
(b-2) * (b-2) = 0
b = 2
Since b = 2 then a = 3
</span>NOW, we put these numbers into:
<span>8a^3 +27b^3
</span>
8*3*3*3 + 27*2*2*2
216 + 216
The answer is 512
Answer:
3%
Step-by-step explanation:
This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .97 which is less than 1, representing decay.
The formula for exponential decay is y=a(1-r)x.
r is the decay rate, expressed as a decimal.
In this case, r = .03 which represents 3%!
Answer:
7/24
Step-by-step explanation:
Let
total items barbequed = 1
Veggie burgers = 3/8
Corn cobs =1/3
Mushroom caps = x
Veggie burgers + corn cobs + x = 1
3/8 + 1/3 + x = 1
9+8 /24 + x = 1
17/24 + x = 1
x= 1 - 17/24
=24-17 /24
= 7/24
x = 7/24
Fraction of barbequed items that are mushroom's is 7/24
Hey there!
The first step of this problem would be to add together our two percentages, then convert that percentage into a decimal by dividing by 100.
15% + 7% = 22%
22 ÷ 100 = 0.22
It can be assumed here that 22% of the cost will be added tax and tip. We can use 0.22 to represent that percentage in our problem. Just multiply that decimal by the maximum amount of money they want to spend, $60, to get the amount that will just be tax and tip. Finally, subtract the tax and tip from $60 to find the most they can spend on the meal itself.
60 × 0.22 = 13.20
60 – 13.20 = 46.80
The total amount they can spend is 46.80.
Hope this helped you out! :-)
