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Alex
3 years ago
6

Solve the equation for the variable.

Mathematics
1 answer:
Flura [38]3 years ago
3 0
1/4x -2 = -6 + 5/12x
3x - 24 = -72 +5x
3x -5x = -72 +24
-2x = -48
x = 24
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Determine the utilization and the efficiency for each situations:A. A loan processing operation that processes an average of 7 l
Vera_Pavlovna [14]

Answer:

A) Utilization = 70%

Efficiency = 87.5%

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 /

Design Capacity × 100

Actual output = 7 loans per day

Design capacity = 10 loans per day

Utilization = 7/10 × 100

= 70%

Efficiency = Actual output / Effective capacity × 100

Actual output = 7 loans per day

Effective capacity = 8 loans per day

Efficiency = 7/8 × 100

= 87.5%

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 /

Design Capacity × 100

Actual output = four furnaces a day

Design capacity = six furnaces a day

Utilization = 4/6 × 100

= 66.67%

Efficiency = Actual output / Effective capacity × 100

Actual output = four furnaces a day

Effective capacity = five furnaces a day

Efficiency = 4/5 × 100

= 80%

6 0
3 years ago
Rewrite each fraction with a denominator of 10.<br> a<br> 7<br> - IN<br> 2<br> 3 <br> IN <br> 5
PolarNik [594]

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

brainliest pls

6 0
2 years ago
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maria [59]
Answer: 100 square feet

How many square feet is a 10x10 room? The square footage of a room 10 feet wide by 10 feet long is 100 square feet. Find the square footage by multiplying the width (10 ft) by the length (10 ft).
7 0
3 years ago
Which two ratios represent quantities that are proportional?
vesna_86 [32]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
-2x-3y=9<br> 4x+6y=-12<br><br> what is the answer
ruslelena [56]

Answer:

The coordinate  to the given equations is (3,1)

Step-by-step explanation:

6 0
3 years ago
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