Mathematics: How do you write two subtraction sentences using the fractions 1/2 ,3/10 and 4/5

How do you write two subtraction sentences using

Acemirisa

28.03.2021

t = 10

Step-by-step explanation:

Proportions

D is directly proportional to t squared. This can be written as:

D = kt^2

Where k is the proportionality constant. It can be calculated by substituting the given condition in the formula, when t=4, D=8:

8 = k4^2=16k

Solving for k:

$k=\frac{8}{16}=\frac{1}{2}$

Thus, the proportional relationship is:

$\displaystyle D = \frac{1}{2}t^2$

When D=50, the value of t can be found by solving for t:

$\displaystyle 50 = \frac{1}{2}t^2$

Multiplying by 2:

t^2=100

Taking the square root:

$t=\sqrt{100}$

The positive value of t is:

t = 10

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