Answer: 10
Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.
Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.
The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}
Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.
1/6 is greater than 1/8 but less than 1/3 because: think of 1 slice taken away from a pizza with 6 slices, now think of 1 slice taken away from a pizza with 8 slices. Do the same with the last pizza. Think how much space was taken away from each pizza.
Answer:
3 times
Step-by-step explanation:
She has 1 1/2 hour to spend in the gym.
1 hr = 60 minute
1/2 of an hour
= 1/2 * 60
= 30 minutes.
In total, she spends 90 minutes in the gym.
If 1/3 of an hour is meant in running, it translates into;
1/3 * 60 = 20 minutes
If 1/6 of an hour is spent in weight-lifting, it translates into;
1/6 * 60 = 10 minutes
In total, she spends,
20 minutes + 10 minutes = 30 minutes for both activities.
To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.
= 90 minutes/30 minutes
= 3 times for each cycle.
Answer:
24 g butter
12 g sugar
36 g flour
Step-by-step explanation:
The recipe makes 30 shortbread fingers.
She wants to make 6 fingers.
6/30 = 1/5
She wants to make 1/5 of the recipe, so she needs 1/5 of each ingredient's amount.
Divide each amount by 5.
Recipe:
Makes 30 30/5 = 6 Makes 6
120 g butter 120/5 = 24 24 g butter
60 g sugar 60/5 = 12 12 g sugar
180 g flour 180/5 = 36 36 g flour
