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Anika [276]
3 years ago
15

A furniture shop refinishes cabinets. Employees use one of two methods to refinish each cabinet Method I takes 1 hour and the ma

terial costs $6. Method II takes 2 hours, and the material costs $5. Next week, they plan to spend 260 hours in labor and $986 in material for refinishing cabinets. How many cabinets should they plan to refinish with each method?
Mathematics
2 answers:
vovangra [49]3 years ago
8 0
The answer to this is 82 because it is just 82 okay yeah 82 perpooh ahh 82 82 82
In-s [12.5K]3 years ago
6 0

Answer:

They should refinish 96 tables using method 1

They should refinish 82 tables using method 2

Step-by-step explanation:

Let

a = number of tables refinished using method 1

b = number of tables refinished using method 2

Time equation

a+2b=260 (1)

Cost equation

6a+5b=986 (2)

a+2b=260 (1)

6a+5b=986 (2)

Multiply (1) by 5 and (2) by 2

5a+10b=1,300 (3)

12a+10b=1,972 (4)

Subtract (3) from (4)

7a=672

Divide both sides by 7

a=96

Recall,

a+2b=260

96+2b=260

2b=260-96

2b=164

Divide both sides by 2

b=164/2

=82

They should refinish 96 tables using method 1

They should refinish 82 tables using method 2

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Read 2 more answers
The table shows the number of cell phone towers a
Olin [163]

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands)    {}   Towers

1) 5.25            {}                          273

2) 6.25            {}                         325

3) 7.25            {}                         377

4) 9.25            {}                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

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