Answer:
42 minutes
Step-by-step explanation:
Here we want to calculate the number of minutes ran in total.
Kindly note that;
Time = distance/speed
Her starting speed is 10 miles/hour
but she ran for 12 minutes.
Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour
So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles
Now the rest of distance to run would be ;
5 -2 = 3 miles
She ran 3 miles at a speed of 6 miles per hour.
Time spent here is 3/6 = 0.5 hours which is same as 30 minutes
Total time spent = 30 + 12 = 42 minutes
5 People can be chosen in 1287 ways if the order in which they are chosen is not important.
Step-by-step explanation:
Given:
Total number of students= 13
Number of Students to be selected= 5
To Find :
The number of ways in which the 5 people can be selected=?
Solution:
Let us use the permutation and combination to solve this problem

So here , n =13 and r=5 ,
So after putting the value of n and r , the equation will be





Answer: Coping strategies can help individuals build <u><em>resiliency.</em></u>
Step-by-step explanation:
Resiliency is defined as the capacity to recover quickly from difficulties. Coping with something means finding ways to face and understand the negative feelings that thing causes you and how to overcome them.
The other three options are actually <em>things you would want to learn how to cope with</em>, thus not correct answers.
Answer:
A.
Amir's equation : 5.50 p + 55.99 =200
Edward's equation : 5.50 p+ 55.99 ≤ 200
B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.
Step-by-step explanation:
The budget is $200
The party room charges $55.99
The charge per person is $5.50
Letting p =number of people that can attend the party, then
A.
Equation for cost that Amir use is;
$5.50*p + $55.99 = $200
5.50 p + 55.99 =200
5.50 p = 200-55.99
5.50 p =144.01
p= 144.01/5.50 = 26 -------Amir's equation will also give the number of people that can attend the party with the budget of $200
For Edward's case
$5.50 p +$55.99 ≤ $200
5.50 p+ 55.99 ≤ 200
5.50 p ≤ 200-55.99
5.50 p ≤ 144.01
p ≤ 144.01/5.50
p ≤ 26
Edward's inequality suggests that for the budget of $200 , 26 or less people can attend the party.
B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.