Step-by-step explanation:
Let age of rick = x
age of sara = y
age of marcos = a
age of jade = b
Rick is 4 years younger than Sara.
x = y - 4
Marcos is 3 years older than Jade.
a = b + 3
Rick's age is twice the age of Marcos and Jade's ages combined.
x = 2(a+b)
The youngest is 9 years old.
The youngest is jade because rick and sara are the parents and marcos is older than she is.
b = 9
How old is each??
a = b + 3
a = 9 + 3 = 12
Marcos is 12 years old
x = 2(a+b)
x = 2 (12 + 9)
x = 2 (21) = 42
Rick is 42 years old
x = y - 4
42 = y - 4
y = 42 + 4 = 46
Sara is 46 years old
Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
Answer:
100 ft²
Step-by-step explanation:
There are 4 congruent sides in a square
Perimeter = 4x
40 = 4x
x = 10
Area = base x height or length x width
Since all sides are the same, 10 is base and height
10x10 = 100
units = ft²
Answer = 100 ft²
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First 150 min times by 5 = 750 minutes after that 750 ÷3=250 minutes it will take for 3 taps