Answer:
12P3 = 1320
Step-by-step explanation:
How you need select three persons of a group of twelve persons, but in the selection each member of the group has a different position, then you need use a permutation
Permutation is defined how
In our case n = 12 and r = 3
Thus
12P3 = 1320
Answer:
Percentages: Price before and after sales tax
Step-by-step explanation:
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Answer:
$10 bill = 14 and $20 bill = 16.
Step-by-step explanation:
Given : A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460.
To find : How many of each type of bill does the cashier have.
Solution : We have given that
A cashier has 30 bills
Let bill of $10 = x .
Bill of $20 = y .
Money of $10 = 10x .
Money of $20 = 20y.
Total bill
x + y = 30-------(1)
10x + 20y = 460-----(2)
On multiplying equation 1 by 10 and subtracting from equation 2.
10x + 20 y = 460
(-)10x +(-) 10 y = (-)300
______________
0 + 10 y = 160 .
On dividing by 10
y = 16 .
Plug y = 16 in equation 1
x + 16 = 30
On subtracting both sides by 16.
x = 30 - 16.
x = 14
Therefore, $10 bill = 14 and $20 bill = 16.
Answer:
5.86
Step-by-step explanation:
Answer:
Area=32 square inches
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the rectangle</em>
Width=w
Length=2×w=2 w
<em>Step 2: Determine the perimeter of the rectangle</em>
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=24 inches
W=w
L=2 w
replacing;
2(w+2 w)=24
2(3 w)=24
6 w=24
w=24/6=4
The width of the rectangle=4 inches
The length of the rectangle=2×4=8 inches
<em>Step 3: Determine the Area of the rectangle</em>
Area=length×width
where;
length=8 inches
width=4 inches
Area=8×4=32 square inches
