The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
Let c represent the number of cookies and let b represent the number of brownies.
Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:
c + b ≥ 125 (1)
Also, Genie has a total of 2,000 grams of flour, hence:
8c + 12b ≤ 2000 (2)
Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000
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Answer:
The correct answer is 54.76 years.
Step-by-step explanation:
The national health care expenditure (H) , in billion of dollars is modeled by
H = 29.57 ×
.
To measure the time before which national health expenditure reach 6000 billion dollars.
Thus putting the value of H = 6000 in the above modeled equation we get,
⇒ 6000 = 29.57 × 
⇒
= 
⇒ 202.908 = 
Taking logarithm with the base of e (㏑) both sides we get,
⇒ ㏑ 202.908 = ㏑ 
⇒ ㏑ 202.908 = 0.0970 × t
⇒ 0.0970 × t = 5.312
⇒ t = 
⇒ t = 54.76.
Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.
To solve this inequality, you need to isolate the value of u. To do this, divide both sides by -2. When you do this, keep in mind that when you divide or multiply both sides by a negative in an inequality, you MUST flip the sign, so your answer would be -8 < u or u > -8.
6 :)
no. of books: 1 2 3 4
combinations: 12, 13, 14, 23, 24, and 34
The car is faster because it’s 120km/hr, wile the train is 75km/hr