Answer:
Dharma and Jorge should purchase a group plan.
They could save $9.55
Step-by-step explanation:
A group plan will cost an average of $135.95 per month.
An individual plan will cost an average of $72.75 per month.
Two individual plans will cost an average of
per month.
Since $145.50 > $135.95, Dharma and Jorge should purchase a group plan.
They could save
Based on the information provided, it follows that there are 1,728 possible seating arrangements.
<h3>How can we find the number of possible arrangements?</h3>
To find the number of arrangements in this problem situation we must take into account the following key factors:
- Chris only has 1 possible seat.
- Jo has 2 possible seats.
- Dave, Alex, and Barb have 3 possible seats.
- Gareth, Fred, and Eddie have 3 possible seats.
- There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.
According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.
<h3>What is factoring?</h3>
A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.
In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:
- Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
- Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
- Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24
Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:
- Number of possibilities = 1 × 2 × 6 × 6 × 24
- Number of possibilities = 1728
Learn more about the factorial function in: brainly.com/question/16674303
Answer;
C) The second arc should be centered at C.
Explanation;
Assuming the goal is to construct a line parallel to AB that passes through given point C.
-Draw a line through C and across AB at an angle creating D.
- With the compass width about half of DC, and center D, draw the first arc to cross both lines.
-Using the same compass width , draw the second arc with center C.
-Then set the compass width to the lower arc (the first arc)
- Move the compass to the second arc. Mark off an arc to make point E
-Draw a straight line through C and E
Thus the line CE will be parallel to line AB
<u>Answer:</u>
333 people of ward 5 are going to be voting for Spike Jones.
<u>Solution:</u>
We have been given that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner.
There are 500 voters in Ward 5.
Since 2/3 of all voters in Ward 5 are voting for Spike Jones the remaining 1/3 will not be voting for him.
To find out how many people in ward 5 are exactly voting for Spike Jones. We need to calculate how much is two thirds of 500 is.
This is done as follows:
Since people cannot be denoted in decimal points we have to round it off to a whole number. That’s is 333.
Therefore 333 people of ward 5 are going to be voting for Spike Jones.
Answer:
0=0
Step-by-step explanation:
6x-6x=0
cancel the terms on both sides of the equation
0=0 the sum of two opposites equals zero
this statement is correct
