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Darina [25.2K]
3 years ago
10

Solve: 2x+1-14x=-71 This is for 7th grade mathematics. Please help! I need this now!

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Answer:

The solution is x=6

Step-by-step explanation:

The given equation is 2x+1-14x=-71


We group like terms to obtain;


2x-14x=-71-1


We now simplify to get;


-12x=-72


We divide both sides of the equation by -12 to get;

\frac{-12x}{-12}=\frac{-72}{-12}


We cancel out the common factors to get;


x=\frac{72}{12}


This implies that


x=\frac{12\times 6}{12}


x=6




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Answer:

A) Utilization = 70%

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B) Utilization = 66.67%

Efficiency = 80%

Step-by-step explanation:

Determine the utilization and the efficiency for each situations:

A. A loan processing operation that processes an average of 7 loans per day. The operation has a design capacity of 10 loans per day and an effective capacity of 8 loans per day.

Formula for Utilization = Actual Output /

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Actual output = 7 loans per day

Design capacity = 10 loans per day

Utilization = 7/10 × 100

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Efficiency = Actual output / Effective capacity × 100

Actual output = 7 loans per day

Effective capacity = 8 loans per day

Efficiency = 7/8 × 100

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B. A furnace repair team that services and average of four furnaces a day if the design capacity is six furnaces a day and the effective capacity is five furnaces a day.

Formula for Utilization = Actual Output /

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Answer:

b = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

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Step 2: Add b to both sides.

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