Respuesta :
the answer is 10038.24 calories
Explanation
remember
[tex]\begin{gathered} 1\text{ Kj=1 kilojulie=1000 julies} \\ hence \\ 42\text{ Kj=42}\cdot1000\text{ julies=42000 julies} \\ \end{gathered}[/tex]we can solve this by using a rule of three.
Step 1
let x represents the number of calories in 42 Kj
so
if
[tex]\begin{gathered} 1\text{ calorie}\rightarrow4.184\text{ julies} \\ \end{gathered}[/tex]then
[tex]x\text{ calories}\rightarrow42000\text{ julies}[/tex]as the proportion is the same
[tex]\frac{1}{4.184}=\frac{x}{42000}\text{ equation}[/tex]Step 2
solve the equation
[tex]\begin{gathered} \frac{1}{4.184}=\frac{x}{42000}\text{ equation} \\ croos\text{ multiply} \\ 1\cdot42000=4.184x \\ \text{divide both sides by 4.184} \\ \frac{42000}{4.184}=\frac{4.184x}{4.184} \\ x=10038.24\text{ calories} \end{gathered}[/tex]so, the answer is 10038.24 calories.
I hope this helps you
