A. –13
B. –12
C. 12
D. 13
Answer: Arturo is 14 years
Benny is 17 years
Carlos is 10 years
Step-by-step explanation:
Let x represent the age of Arturo.
Let y represent the age of Benny.
Let z represent the age of Carlos.
The sum of the ages of Arturo, Benny, and Carlos is 41 years. It means that
x + y + z = 41- - - - - - - - - - - - -1
Twice Arturo's age exceeds the sum of Benny and Carlos's ages by one year. It means that
2x = y + z + 1- - - - - - - - - 2
Five years ago, Benny was 2 years more than twice as old as Carlos. It means that
y - 5 = 2(z - 5) + 2
y - 5 = 2z - 10 + 2
y = 2z - 8 + 5
y = 2z - 3
Substituting y = 2z - 3 into equation 2, it becomes
2x = 2z - 3 + z + 1
2x = 2z + z - 3 + 1
2x = 3z - 2
x = 3z/2 - 1
Substituting y = 2z - 3 and
x = 3z/2 - 1 into equation 1, it becomes
3z/2 - 1 + 2z - 3 + z = 41
Multiplying through by 2, it becomes
3z - 2 + 4z - 6 + 2z = 82
3z + 4z + 2z - 2 - 6 = 82
9z - 8 = 82
9z = 82 + 8 = 90
z = 90/9
z = 10
x = 3z/2 - 1 = (3 × 10)/2 - 1
x = 14
y = 2z - 3 = 2 × 10 - 3
y = 17
b. 120 cm2
c. 144 cm2
d. 252 cm2
transformation used to create the graph of g?
The transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.
The "-2" in the equation of g(x) reflects a vertical stretch by a factor of 2, which causes the graph to become narrower and steeper than f(x).
The "+6" in the equation of g(x) reflects a vertical shift upward by 6 units, which moves the entire graph of g(x) upward by 6 units.
Therefore, the transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.
can anyone help
Hi Walker
pv=kt
Divide both sides by p
pv/p=kt/p
v= kt/p
I hope that's help:0
Step-by-step explanation:
Hello there!
Multiply the probabilitites of the two outcomes:
7/16 x 1/4=7/64
There you have it.
Have a great day!
:)