Answer:
The width is 10 feet.
Step-by-step explanation:
We know that the area of a rectangle is given by the formula:
Where <em>L</em> is the length and <em>W</em> is the width.
We are given that the length of the rectangle is three times the width. In other words:
The total area is 300 square feet. And we want to determine the width of the rectangle.
So, substitute 300 for <em>A</em> and 3<em>W</em> for <em>L: </em>
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Multiply:
Divide both sides by three:
And take the principal square root of both sides. So:
Thus, the width of the rectangle is 10 feet.
Answer:
3.48 hours
Step-by-step explanation:
The equation is:
Where
M(t) is the amount of medication remaining in mg
t is the time it takes, in hours
The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??
We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:
<u>Note: </u> Ln(e) = 1
This means, the amount of time it will take is about 3.48 hours
Answer:
Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner =
Cost of food for people =
Total cost = $1000 +
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:
Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.