Tiffany is 34 years old and Vanessa is 6 years old. How many years will it take until Tiffany is only 3 times as old as Vanessa?

Answers

Answer 1
Answer: Let t be the required number of years.
34 + t = 3(6 + t)
34 + t = 18 + 3t
2t = 16
t = 8
The answer is 8 years.
Answer 2
Answer:

Answer:

It will take 8 years for Tiffany to become 3 times as old as Vanessa.

Step-by-step explanation:

We have been given that Tiffany is 34 years old Vanessa is 6 years old.

Let the time taken by until Tiffany is only 3 times as old as Vanessa be x

Hence, according to the information given in the question equation becomes:

Age of Tiffany after x years will be: 34 +x

Age of Vanessa after x years will be: 6+x

Since, we have to find when Tiffany is 3 times as old as Vanessa

Equation becomes:

34+x =3(6+x)

34+x=18+3x

2x=16

x=8

It will take 8 years for Tiffany to become 3 times as old as Vanessa.


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Two functions, y = |x - 3| and 3x + 3y = 27, are graphed on thesame set of axes. Which statement is true about the solution to the
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(1) (3,0) is the solution to the system because it satisfies the equation
y = |x - 3|.
(2) (9,0) is the solution to the system because it satisfies the equation
3x + 3y = 27.
(3) (6,3) is the solution to the system because it satisfies both equations.
(4) (3,0), (9,0), and (6,3) are the solutions to the system of equations
because they all satisfy at least one of the equations.

Answers

                        y = |x - 3|
              3x + 3y = 27
       3x + 3|x - 3| = 27
       3x + 3|x - 3| = ±27
       3x + 3|x - 3| = 27        or          3x + 3|x - 3| = -27
       3x + 3(x - 3) = 27        or         3x + 3(x - 3) = -27
   3x + 3(x) - 3(3) = 27     or       3x + 3(x) - 3(3) = -27
          3x + 3x - 9 = 27        or           3x + 3x - 9 = -27
                  6x - 9 = 27           or                6x - 9 = -27
                      + 9   + 9                                  + 9   + 9
                       6x = 36               or                 6x = -18
                        6      6                                     6       6
                         x = 6                  or                  x = -3
                         y = |x - 3|           or                  y = |x - 3|
                         y = |6 - 3|           or                  y = |-3 - 3|
                         y = |3|                or                  y = |-6|
                         y = 3                  or                  y = 6
                   (x, y) = (6, 3)           or            (x, y) = (-3, 6)

The two systems of equations of the graph is only equal to (6, 3). It is not equal to (-3, 6) because one of the systems of equations - y = |x - 3| - only has one solution to the function. So the answer to the problem is 3 - (6, 3) is the solution to the system because it satisfies both equations.

What is 2/3 times 6 equal?

Answers

Answer:

4

Step-by-step explanation:

(2)/(3)x(6)/(1)= (12)/(3\n) simplified is 4

Evaluate the expression when x = 8 and y = 1.

x/2y

Answers

Given: x/2y
Solution : 8/2(1) = 8/2 = n

Answer: 4

Answer:

Given: x/2y

Solution : 8/2(1) = 8/2 = n

Answer: 4

Step-by-step explanation:

Hope this help may i please have brainliest :)

Prove the logarithm of 100 is 2

Answers

Because 10^2 is 100, the natural logarithm of 100 is 2 by the basic definition of logarithms.

Point of intersection of the two axes

Answers

Answer:

Origin (0, 0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Not sure what the question is here, but if you want to find the point where two lines intersect, you can use simultaneous equations, where the two equations are the line equations.

T + 3t - 7 = 4t - 7???

Answers

t+3t-7=4t-7\n\n4t-7=4t-7\ \ \ \ \ |subtract\ 4t\ from\ both\ sides\n\n-7=-7-TRUE\n\ninfinitely\ many\ solutions;\neach\ number\ is\ a\ root\ of\ the\ equation\n\nt\in\mathbb{R}
t+ 3t - 7 = 4t - 7\n-7=-7\nx\in\mathbb{R}