Question

Given that x = -35, y = 1.5, and z = 4.5, and (y+z):t = 4:15, find the value of t.

Answer 1

To find the value of t given the equation (y+z):t = 4:15 with y = 1.5 and z = 4.5, we first find the sum of y and z, then cross-multiply the ratio to find that t = 22.5.

Step-by-step explanation:

The student is asked to find the value of t given that x = -35, y = 1.5, and z = 4.5, with the ratio (y+z):t = 4:15. First, calculate the sum of y and z:

• y + z = 1.5 + 4.5 = 6.0

Now, we know that the ratio of y+z to t is 4:15, which can be written as a fraction:

\(\frac{y+z}{t} = \frac{4}{15}\)

Substitute the value of y+z into the equation:

\(\frac{6.0}{t} = \frac{4}{15}\)

Cross-multiply to solve for t:

15 \(\times\) 6.0 = 4 \(\times\) t

90 = 4t

t = \(\frac{90}{4}\) = 22.5

Therefore, the value of t is 22.5.