Answer:
735,130.
Step-by-step explanation:
The order of election of the 3 representatives does not matter so it is a combination.
The number of possible combinations
= 165! / 162! 3!
= (165 * 164 * 163) / (3*2*1)
= 735,130.
Answer: Width = 5 inches
Concept:
Here, we need to know the idea of the perimeter.
A perimeter is a path that encompasses/surrounds/outlines a shape.
Perimeter of rectangle = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = 3w - 2
P = 36 inches
<u>Given formula</u>
P = 2 (w + l)
<u>Substitute the value into the formula</u>
36 = 2 (w + 3w - 2)
<u>Simplify values in the parentheses</u>
36 = 2 (4w -2)
<u>Divide 2 on both sides</u>
36 / 2 = 2 (4w - 2) / 2
18 = 4w - 2
<u>Add 2 on both sides</u>
18 + 2 = 4w - 2 + 2
20 = 4w
<u>Divide 4 on both sides</u>
20 / 4 = 4w / 4
w = 5
Hope this helps!! :)
Please let me know if you have any questions
Answer:
when shared rules of conduct emerge and the team feels a sense of leadership
Explanation:
There are five stages of team development which are forming, storming, norming, performing and adjourning. A team starts from the forming stage, goes through the storming stage followed by the norming stage, and then the performing stage before the final stage which is the adjourning stage. Teams move through these stages, beginning from when they are formed and ending when they are disbanded.
When people start to understand their team members strengths with everyone is given a role based on their strengths and work as a cohesive unit, this is the norming stage. The correct option is therefore when shared rules of conduct emerge and the team feels a sense of leadership.
Answer: B
Step-by-step explanation: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:
24x2+25x−47=(−8x−3)(ax−2)−53
You should then multiply (−8x−3) and (ax−2) using FOIL.
24x2+25x−47=−8ax2−3ax+16x+6−53
Then, reduce on the right side of the equation
24x2+25x−47=−8ax2−3ax+16x−47
Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.
The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.
The final answer is B.
