Answer:
Alex = 19 years
Bart's = 15 years
Carl = 8 years
Step-by-step explanation:
Let us represent their ages as
Alex = x
Bart's = y
Carl = z
the sum of the ages of the three brothers is 42
x + y + z = 42
Alex his age is three more than twice Carl's age
x = 2z + 3
The difference between Barts in Carl's ages is seven years
y - z = 7
y = 7 + z
Hence: we Substitute
x + y + z = 42
2z + 3 + 7 + z + z = 42
Collect like terms
2z + z + z + 10 = 42
4z = 42 - 10
4z = 32
z = 32/4
z = 8 years
Hence, Carl = 8 years old
a) y = 7 + z
y = 7 + 8
y = 15 years.
Hence, Bart's is 15 years old
b)x = 2z + 3
x = 2(8) + 3
= 16 + 3
= 19 years
Therefore, Alex is 19 years old.
Answer: 180 miles
Step-by-step explanation:
100 divided by 5 = 20. So, the car travels 20 miles with one gallon. Then, you do 20 x 9 = 180. So, the car can travel 180 miles on 9 gallons of gas.
I hope this helps!!! :)
Answer:
-3
Step-by-step explanation:
Slope is rise over run or the change in y over the change in x
the answer is -3 over 1
Answer:
35 , 36 , 37
Step-by-step explanation:
Let the consecutive integers be x, (x + 1) , (x +2)
x + x + 1 + x +2 = 108
x + x + x + 1 + 2 = 108 {Combine like terms}
3x + 3 = 108 {Subtract 3 from both sides}
3x = 108 - 3
3x = 105 {Divide both sides by 3}
x = 105/3
x = 35
The three integers are, 35 , 36 , 37
