Solve 0.1+0.15+(t-35)*0.035=0.5

$$0.1 + 0.15 + ( t - 35 ) \times 0.035 = 0.5$$

Solve for t

$$t = \frac{295}{7} = 42\frac{1}{7} \approx 42.142857143$$

Steps for Solving Linear Equation

Add 0.1 and 0.15 to get 0.25.

$$0.25+\left(t-35\right)\times 0.035=0.5$$

Use the distributive property to multiply t-35 by 0.035.

$$0.25+0.035t-1.225=0.5$$

Subtract 1.225 from 0.25 to get -0.975.

$$-0.975+0.035t=0.5$$

Add 0.975 to both sides.

$$0.035t=0.5+0.975$$

Add 0.5 and 0.975 to get 1.475.

$$0.035t=1.475$$

Divide both sides by 0.035.

$$t=\frac{1.475}{0.035}$$

Expand \frac{1.475}{0.035} by multiplying both numerator and the denominator by 1000.

$$t=\frac{1475}{35}$$

Reduce the fraction \frac{1475}{35} to lowest terms by extracting and canceling out 5.

$$t=\frac{295}{7}$$