X+y+z=32
x=z-4
y=x+1
z=x+4
x+x+1+x+4=32
3x+5=32
3x=27
x=9
y=10
z=13
Hope this helps :)
Answer:
The probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Step-by-step explanation:
Since a politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important, and just before the speech, she drops all of the cards and picks them up in a random order, to determine what is the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack, the following calculation must be performed:
1/13 x 1/13 x 1/13 = X
0.076 x 0.076 x 0.076 = X
0.00045 = X
0.00045 x 100 = 0.045
Therefore, the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.
Ralph is 3 years old
Casey is 18 years old
Step-by-step explanation:
Let the age of Ralph be x
Then Casey is 6 times as old as Ralph will be 6x
In two years
Ralph =x+2
Casey=6x+2 ⇒ 4(x+2)
Equate the two equations for Casey as
6x+2 = 4x+8
6x-4x=8-2
2x=6
x=6/2= 3
Current age;
Ralph= x= 3 years old
Casey=6x = 6*3= 18 years
Learn More
Forming expressions and solving equations;brainly.com/question/1280754
Keywords :six, times, years
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With reciprocals, you flip the fraction to multiply and get 1
the recip is 9/7