Answer:
Tanya is 20 years old
Step-by-step explanation:
Let the age of Vera = x years
The age of Linda is twice the age of Vera = 2x years
Tanya is four less than four times the age of Linda = 4(2x)-4 = 8x-4
Total age of Vera, Linda and Tanya is:
x+2x+8x-4
Combine the like terms:
11x-4
But now their total age is two more than nine times the age of Vera:
11x-4 = 9x+2
Solve the expression
Combine the like terms:
11x-9x=2+4
2x=6
Divide both the sides by 2
2x/2 = 6/2
x= 3
Thus the age of Vera is 3 years.
The age of Linda is 2x= 2*3 = 6 years
The age of Tanya is 8x-4 = 8*3 - 4 = 24-4 = 20years....
Answer:
See below.
Step-by-step explanation:
Positive association is when the line has a positive slope, and the line progresses upwards.
E.g. When a car is traveling, as time progresses, the distance traveled increases.
Negative association is when the line has a negative slope, and the line declines.
E.g. When a car is traveling, as time progresses, the amount of gasoline decreases.
No association is when there is no slope between points, nor is there a line.
-hope it helps
Angles 1, 3, and 4 make up a straight line.
Thus, 3x + 90 + 3x - 6 = 180 (angle sum of straight line)
6x - 6 = 90
6x = 96
x = 16
Now angle 1 becomes 3(16) = 48
Angle 1, 2, and 3 also make up a straight line.
Thus, angle 2 + 48 + 90 = 180
angle 2 + 138 = 180
angle 2, therefore, becomes 42. In essence, (A)
Answer:
Step-by-step explanation:
Answer:
2/5x.
Step-by-step explanation:
3x^3/4x • 8x/15x^4
= 24x^4 / 60/x^5
= 24/ 60x
= 2/5x.