Answer:
Step-by-step explanation:
The problem statement defines the variables and gives the relations ...
2b + f = 8 . . . . total cost on Monday
3b + f = 11 . . . . total cost on Tuesday
__
Subtracting the first equation from the second, we get ...
(3b +f) -(2b +f) = 11 -8
b = 3 . . . . . simplify
Substituting this into the first equation, we can solve for f
2·3 +f = 8
f = 2 . . . . . . . subtract 6
Bagels cost $3 per dozen; the delivery fee is $2.
Answer:
1.
The radius is given, so the radius is = 10
The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter
And to solve for circumference, your formula is;
C = 2πr
Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.
Plug in your values:-
C = 2πr
C = 2(3.14) x 10
C = 6.28 x 10
C = 62.8, so your circumference is 62.8.
2.
Your radius is half of your diameter, so,
D/2 = R
D = diameter
R = Radius
49/2 = 24.5 is your radius.
Your diameter is given, so the diameter is 49.
Use the formula we applied for circumference in our other problem;
C = 2πr
C = 2(3.14) x 24.5
C = 6.28 x 24.5
C = 153.86, so 153.86 is your circumference.
Im not sure but I would seem that the first plan is much better due to the cost. I know this is not an answer but just saying and there just a $0.004 diference wich is practicly the same
Answer:
42=2×15+12
Step-by-step explanation:
2×15=30
therefore 30+12=42
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:



Item a:
The coffee cup contains 150 milligrams of caffeine, hence
.
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).



Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:



The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936