−

Question

3.2
c
​
+0.1=
0.35

Answer 1

To solve the equation $-3.2c+0.1=0.35$, follow these steps:

1. Subtract $0.1$ from both sides of the equation:

$$-3.2c=0.35-0.1$$

This simplifies to:

$$-3.2c=0.25$$

2. Divide both sides by $-3.2$:

$$c=\frac{0.25}{-3.2}$$

Calculating this gives:

$$c=-\frac{0.25}{3.2}$$

3. To simplify $-\frac{0.25}{3.2}$, you can convert $0.25$ to a fraction:

$$0.25=\frac{1}{4}$$

Thus,

$$c=-\frac{1/4}{3.2}=-\frac{1}{4\times 3.2}$$

4. Multiply the denominator:

$$3.2=\frac{32}{10}=\frac{16}{5}$$

So,

$$c=-\frac{1}{4}\times \frac{5}{16}=-\frac{5}{64}$$

Therefore, the solution is:

$$c=-\frac{5}{64}$$