Question Continuation:
if (a) the books can be arranged in any order?
(b) the mathematics books must be together and the novels must be together?
Answer:
(a) 3628800 ways
(b) 17280 ways
Step-by-step explanation:
Given
Solving (a): In any order
This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.
Total number of books is:
The number of arrangement is:
(b):
If the mathematics books are together, there are 4! different arrangements
If the novels are together, there are 5! different arrangements
Now, there are 3 bundles.
- The mathematics books as 1
- The novels as 1
- The biology book
This can be arranged in 3! ways.
Total number of arrangement is:
<span>1X12, 2X6, 3X4, 4X3, 6X2, and 12X1 are the factor pairs of 12
</span>
Answer:
Pizzas: $8, Breadsticks: $3
Step-by-step explanation:
1. Write an equation.
Let the variables p = price of pizzas, and b = price of breadsticks
The equation: 3p + 2b = $30 for the first customer. The equation: 4p + 3b = $41 for the other customer.
2. Use the Elimination Method.
(4p+3b=41) x3 = 12p+9b=123
- (3p+2b=30) x4 = 12p+8b = 120
------------------------------------------------
8b = 3
Pizzas: $8
Breadsticks: $3
Answer:
Weight of the truck=9408 N
Step-by-step explanation:
Boat is experiencing the buoyant force as it is in the water and is sinking
According to the force balance in y direction. As both is floating, two forces balance each other:
where:
is the buoyant force
is the weight=mg
Eq (1)
Buoyant force is equal to the mass of water displaced * gravitational acceleration.
Taking density of water to be 1000 Kg/m^3
From Eq(1):
Weight of the truck=9408 N
$16.80 because 12*14 equals 168 then you take 14 times 1.20
