The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day,276 people entered the park, and the admission fees collected totaled 664.00 dollars. How many
children and how many adults were admitted?
Your answer is
number of children equals
number of adults equals

Answers

Answer 1

Answer: Is there answer choices?

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Combine like terms to create an equivalent expression. 1/7 - 3 (3/7n - 2/7)

Answers

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▹ Answer

1 - 9/7n

▹ Step-by-Step Explanation

1/7 - 3(3/7n - 2/7)

Remove the parentheses (Distribute -3 among the parentheses):

1/7 - 9/7n + 6/7

Calculate:

1 - 9/7n

Hope this helps!

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Answer:

1-9/7n

Step-by-step explanation:

$(1)/(7)-3((3)/(7)n-(2)/(7) ) \n=(1)/(7)-(9)/(7)n +(6)/(7) \n=(1-9n+6)/(7) \n=(7-9n)/(7)\n=1-(9)/(7)n$

When hired at a new job selling jewelry, you are given two pay options:Option A: Base salary of $16,000 a year, with a commission of 7% of your sales

Option B: Base salary of $25,000 a year, with a commission of 2% of your sales

In order for option A to produce a larger income, you would need sell at least $_______ of jewelry each year

Answers

You are required to sell a minimum of 180,001 of jewelry each year.

Given that,

The base salary is $16,000 per year and there is a 7% commission on sales for option A.
The base salary is $25,000 per year and there is a 2% commission on sales for option B.
Also, let us assume the sales be x

Based on the above information, the following expression should be made:

16,000 + 0.07x > 25,000 + 0.02x

0.07x - 0.02x > 25,000 - 16,000

0.05x > 9000

x > 9000 ÷ 0.05

x > 180,000

Therefore we can conclude that you are required to sell a minimum of 180,001 of jewelry each year.

Learn more: brainly.com/question/12127730

16,000 + 0.07x > 25,000 + 0.02x
0.07x - 0.02x > 25,000 - 16,000
0.05x > 9000
x > 9000 / 0.05
x > 180,000....so they would need to sell at least 180,001

Suppose that dP/dt = 0.19P(t) represents a mathematical model for the growth of a certain cell culture, where P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing at the time t when the size of the culture reaches 2 million cells?

Answers

Answer: 380000 cells/hour

Step-by-step explanation:

Given that dP/dt = 0.19P(t)

where

P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).

The formula above represents a mathematical model for the growth of a certain cell culture. In essence, it represents the time rate of the growth of the cell culture, that is how fast the cell culture is growing.

Therefore, when P = 2 million cells:

dP/dt = 0.19 * 2000000 = 380000 cells/hour

Hence, the cell culture is growing at 380000 cells per hour.

Final answer:

The cell culture is growing at a rate of 0.38 million cells per hour when the size of the culture reaches 2 million cells. This is based on the given differential equation dP/dt = 0.19P(t).

Explanation:

This problem is associated with the concept of differential equations, particularly exponential growth. In this scenario, the rate of change of P(t), the size of the cell culture, is given by the equation dP/dt = 0.19P(t). This can be interpreted as the culture is growing at 19% per unit of time.

To determine how fast the culture is growing when P(t) equals 2 million cells, we need to substitute 2 for P(t) in the given equation: dP/dt = 0.19*2. This calculation returns a value of 0.38 million cells per hour. Therefore, when the size of the culture reaches 2 million cells, it is growing at a rate of 0.38 million cells per hour.