Question

simplify the expression below
5/6 (12p - 42)

Answer 1

Answer:

• $\boxed{\sf{10p-35}}$

Step-by-step explanation:

Use the distributive property.

Distributive property:

A(B-C)=AB-AC

A(B+C)=AB+AC

$\sf{\dfrac{5}{6}=(12p-42) }$

Multiply by expand.

$\Longrightarrow: \sf{\dfrac{5}{6}\cdot \:12p-\dfrac{5}{6}\cdot \:42}$

Solve.

5/6*12p=10p

5/6*42=36

Use the order of operations.

PEMDAS stands for:

• Parentheses
• Exponents
• Multiply
• Divide
• Add
• Subtract

$\sf{\dfrac{5}{6}\cdot \dfrac{42}{1}=\dfrac{5*42}{6} }$

Divide.

42/6=7

Multiply.

5*7=35

Subtract.

35-35=0

$\Longrightarrow: \boxed{\sf{10p-35}}$

Therefore, the correct answer is 10p-35.

I hope this helps. Let me know if you have any questions.

Answer 2

Answer:

$10p - 35$

Step-by-step explanation:

Step 1:  Distribute

$\frac{5}{6}(12p - 42)$

$(\frac{5}{6}*12p) + (\frac{5}{6} * (-42))$

$\frac{60p}{6}-\frac{210}{6}$

Step 2:  Simplify the expression

$\frac{60p}{6}-\frac{210}{6}$

$10p - 35$

Answer:  $10p - 35$