9514 1404 393
Answer:
Step-by-step explanation:
Consecutive interior angles are supplementary.
(x -20)° +(4x +15)° = 180°
5x = 185 . . . . . . . . . . . . . . divide by °, add 5
x = 37 . . . . . . . . . . . . divide by 5
__
74° +(5y -4)° = 180°
5y = 110 . . . . . . . . . . . divide by °, subtract 70
y = 22 . . . . . . . . . . divide by 5
Answer:
Using proportions, the pizza parlor should expect 20 breadsticks and 25 calzone orders if there were 100 total orders.
Step-by-step explanation:
Orders:
Salads 3
Pizzas 8
Sides of breadsticks 4
Pepperoni calzones 5
Total orders: 20
Proportion of sides breadsticks=4/20=0.2
Proportion of pepperoni calzones=5/20=0.25
For 100 total orders:
Sides of breadsticks=0.2(100)=20
Pepperoni calzones=0.25(100)=25
First one is 3/8>1/3
Second one is B
Third one is C
Fourth one is B
Here the order matters (the medal of the 1st is different from the medal of the 2nd, etc.)
So it's a permutation (arrangement) of 6 chosen among 31:
³²P₆ = (n!)/(n-r)! = 32!/26! = 652,458,240
Another method:
the 1st medal could be won by 32
the 2nd medal could be won by 31 .
the 3dd medal could be won by 30
.etc. etc.
the 6th medal could be won by 27
.
Then the number of possibilities = 32x31x30x29x28x27 =652,458,240
