Solve the following formula for $m$.
$c=a m t$
$m=$ $\square$
Enter your answer as an expression. Be careful...to enter an expression like $\frac{a+b}{3+m}$ you need to type $( a + b ) /(3+ m )$. You need parentheses for both the numerator and denominator.

Question

Solve the following formula for $m$. 
$c=a m t$ 
$m=$ $\square$ 
Enter your answer as an expression. Be careful...to enter an expression like $\frac{a+b}{3+m}$ you need to type $( a + b ) /(3+ m )$. You need parentheses for both the numerator and denominator.

GinnyAnswer · Answer

Divide both sides of the equation c = am t by a t . 
 Simplify the equation to isolate m . 
 The solution is m = a t c ​ . 
 Therefore, m = a t c ​ ​ . 
 
 Explanation 
 
 Understanding the Problem We are given the equation c = am t and we want to solve for m . This means we want to isolate m on one side of the equation. 
 
 Isolating m To isolate m , we need to divide both sides of the equation by the product of a and t , which are multiplied by m . So, we divide both sides by a t : a t c ​ = a t am t ​ 
 
 The Solution Simplifying the right side of the equation, we get: a t c ​ = m Thus, m is equal to a t c ​ .

Examples 
 In physics, if you know the amount of heat ( c ) required to raise the temperature of a substance, and you know the mass ( m ) of the substance and the change in temperature ( t ), you can determine a property of the substance called its specific heat ( a ) using the formula c = am t . Solving for m allows you to find the mass of the substance if you know the specific heat, the amount of heat added, and the temperature change. For example, if c = 100 Joules, a = 0.5 J/g°C, and t = 10 °C, then m = a t c ​ = 0.5 × 10 100 ​ = 20 grams.

Solve the following formula for $m$. $c=a m t$ $m=$ $\square$ Enter your answer as an expression. Be careful...to enter an expression like $\frac{a+b}{3+m}$ you need to type $( a + b ) /(3+ m )$. You need parentheses for both the numerator and denominator.

Answer (1)

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Solve the following formula for $m$.
$c=a m t$
$m=$ $\square$
Enter your answer as an expression. Be careful...to enter an expression like $\frac{a+b}{3+m}$ you need to type $( a + b ) /(3+ m )$. You need parentheses for both the numerator and denominator.