Solve 309.4=(5.00)(F-23)(4.184)

$$309.4 = ( 5.00 ) ( F - 23 ) ( 4.184 )$$

Solve for F

$$F = \frac{19764}{523} = 37\frac{413}{523} \approx 37.789674952$$

Steps for Solving Linear Equation

Multiply 5 and 4.184 to get 20.92.

$$309.4=20.92\left(F-23\right)$$

Use the distributive property to multiply 20.92 by F-23.

$$309.4=20.92F-481.16$$

Swap sides so that all variable terms are on the left hand side.

$$20.92F-481.16=309.4$$

Add 481.16 to both sides.

$$20.92F=309.4+481.16$$

Add 309.4 and 481.16 to get 790.56.

$$20.92F=790.56$$

Divide both sides by 20.92.

$$F=\frac{790.56}{20.92}$$

Expand \frac{790.56}{20.92} by multiplying both numerator and the denominator by 100.

$$F=\frac{79056}{2092}$$

Reduce the fraction \frac{79056}{2092} to lowest terms by extracting and canceling out 4.

$$F=\frac{19764}{523}$$