The weight of a population of yeast is given by a differentiable function y, where y(t) is measured in grams and t is measured i

Answer:

A. Combining one pound of pistachios with one pound of almonds costs $20.

C. Decreasing the almond quantity by one pound leads to a total price of $40.

E. The price p (in dollars) per pound of pistachios is represented by the equation 2p + 3(p – 4) = 48.

Step-by-step explanation:

Let:

x = cost per pound of pistachios

y = cost per pound of almonds

We know that

x = y + 4 (Equation A)

2x + 3y = 48 (Equation B)

Substitute x from Equation A into Equation B:

2(y + 4) + 3y = 48

2y + 8 + 3y = 48

5y = 48 – 8

y = 8

Find x:

x = 8 + 4 = 12

Therefore, pistachios cost $12 per pound and almonds cost $8 per pound.

Verify the statements:

Case A) One pound of each equals $20.

True, since 12 + 8 = 20.

Case B) Pistachios cost twice as much as almonds.

False, because 2 × 8 = $16 ≠ $12.

Case C) Reducing almond pounds by 1 yields $40 total.

True, as 2(12) + 2(8) = 24 +16 = 40.

Case D) The almond cost modeled by 2(a – 4) + 3a = 48.

False; it should be 2(a + 4) + 3a = 48.

Case E) The pistachio cost modeled by 2p + 3(p – 4) = 48.

True, since p = a + 4 implies a = p – 4.

There are 2 beginner, 6 intermediate, and 3 advanced books, totaling 11.

P(advanced) = 3/11
replaced
P(beginner) = 2/11

P(both) = 3/11 * 2/11 = 6/121 <=

21 minutes. Step-by-step explanation: Considering the following: Using CITY STREET: The duration to drive to the nearest bowling alley is 45 minutes, which is 0.75 hours. The travel speed is 30 miles per hour. Switching to FREEWAY: the travel speed here is 65 miles per hour. Assuming both routes cover the same distance, the time required on the FREEWAY will be as follows: The distance calculated using the city route results in 30 mph = distance / 0.75 hour, giving a distance of 22.5 miles. As the distance remains consistent: Time taken on the FREEWAY = distance / speed, which results in 22.5 / 65 = 0.3461538 hours. Converting to minutes = 0.3461538 × 60, which rounds to approximately 21 minutes.

Parce qu'en connaissant les techniques pour identifier les nombres rationnels, vous saurez automatiquement quand un nombre n'est pas rationnel.

Answer
The resultant number is 412630