Question

Help!!!!!!!!!!!!!!! fast!! pls!!! The following equation is used in meteorology to determine the temperature humidity index T= 2/5(w+80)+15, where w represents the wet-bulb thermometer reading. For what values of w would T range from 85 to 95?

Answer 1

Answer:

The value of w is lie from 95 to 120.

Step-by-step explanation:

The temperature humidity index is given by the equation

$T=\frac{2}{5}(w+80)+15$

where w represents the wet-bulb thermometer reading.

We have to find the values of w for which T range from 85 to 95.

$85\leq T\leq 95$

$85\leq \frac{2}{5}(w+80)+15\leq 95$

Subtract 15 from all the sides.

$85-15\leq \frac{2}{5}(w+80)+15-15\leq 95-15$

$70\leq \frac{2}{5}(w+80)\leq 80$

Multiply all sides by 5.

$70\times 5\leq 2(w+80)\leq 80\times 5$

$350\leq 2w+160\leq 400$

Subtract 160 from all the sides.

$190\leq 2w\leq 240$

Divide all sides by 2.

$95\leq w\leq 120$

Therefore the value of w is lie from 95 to 120.

Answer 2

95 to 120, simply plug in each value!