Answer:
Step-by-step explanation:
The whole triangle and small triangle are similar (AA). Therefore the sides are in proportion:
cross multiply
use distributive property
subtract 220 from both sides
divide both sides by 55
Write equations for both companies:
Company A = 80 + 0.30x
Company B = 20 + 0.50x
X = number of miles.
Set the equations to equal and solve for x:
80 + 0.30x = 20 + 0.50x
Subtract 0.30x from both sides:
80 = 20 + 0.20x
Subtract 20 from both sides:
60 = 0.20x
Divide both sides by 0.20:
x = 60 / 0.20
x = 300
The answer is 300 miles.
| x | + 2 > | x | for all real numbers x. True False
Answer:
true
Step-by-step explanation:
This is true because x equals the same...2!
B. 126
C. 15,120
D . 59,049
A cooking club has 12 members.How many ways can they select a president and vice president from among the members?
A. 1320
B. 220
C. 132
D. 66
9P5 is a permutation of 9 objects taken 5 at a time; this is ⁹P₅ = 15120. So, the correct option is C.
A permutation of 12 objects taken 2 at a time; this is 132 ways can they select a president and vice president from among the members. So, the correct option is C.
Given:
9P5 is a permutation of 9 objects taken 5 at a time; this is
9! / (9-5)! = 9!/4!
= (9*8*7*6*5*4*3*2*1)/(4*3*2*1)
= 15120.
A permutation of 12 objects taken 2 at a time; this is 12! / (12-2)! = 12!/10!
=(12*11*10*9*8*7*6*5*4*3*2*1) / (10*9*8*7*6*5*4*3*2*1)
=132
Therefore, the cooking club has 12 members. there are 132 ways can they select a president and vice president from among the members
Learn more about permutation here:
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