This is a permutation problem in which you are to arrange the objects and the order doesn't matter. You can easily calculate it using your scientific calculator. Just use the formula nPr, where n is the total number of objects taken r at a time.
PAYMENT = 7 letters => 7P5 = 2520
There are 2,520 ways
For butterfly, its quite tricky because there are two letters. Oder does matter here, since no matter which t comes first, that is still the same. So, this is what you do:
BUTTERFLY = 9 letters
9P5 ÷ 2! => since there are two same letters
15120 ÷ 2 = 7560
There are 7560 ways.
Answer: option D is the correct answer.
Step-by-step explanation:
The given figure is a kite. In a kite, the diagonal are perpendicular. It means that the diagonals meet at 90 degrees. Therefore,
Angle 1 = 90 degrees
Angle 3 = 90 degrees
Also, the sum of the angles in a triangle is 180 degrees.
Let x represent the third angle in the right angle triangle containing angle 1 and 50 degrees. It means that
50 + 90 + x = 180
140 + x = 180
x = 180 - 140 = 40 degrees
The pair of opposite sides and opposite angles are congruent. It means that
angle 2 = Angle x
angle 2 = 40 degrees
Yes.
a test for a function is the vertical line test, so think about drawing a vertical line on top of this picture. if at any point the line is touching the graph more than once, it is not a function. this graph passes the vertical line test
Answer:
Number of people that can be served 7 ladles = 100 people
Step-by-step explanation:
We are told that;
Initial number of ladles proposed per person = 5
Number of persons to be fed based on 5 ladles = 140 persons
Thus, amount of ladles based on that data is;
140 people x 5 ladle/1 person = 700 ladles full of soup
Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;
700 ladles ÷ 7 ladles/person = 100 persons