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adoni [48]
3 years ago
6

Alex needs to varnish the top And the bottom of a dozen rectangular wooden planks planks are 8 feet long and 3 feet wide each pi

nt Of varnish covers about 125 Square feet and cost 3.50 what is the total area that Alex needs to varnish and how much will it costs Alex to varnish all the wooden planks
Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

It will cost approximately $16.12 to varnish all the wooden planks.                                            

Step-by-step explanation:

We are given the following in the question:

Number of rectangular planks = 12

Dimension of the rectangular wooden plank:

Length = 8 feet

Width = 3 feet

Area covered by I bottle of varnish = 125 Square feet

Cost of 1 bottle of varnish = 3.50 units

Area of 1 rectangular plot =

A = \text{Length}\times \text{Width}\\A = 8\times 3\\A = 24\text{ square feet}

Total area to be covered by varnish =

= \text{Area of 1 plank}\times 12\times \text{Top area and bottom area}\\=24\times 12\times 2\\=576

Number of varnish bottles required =

n = \dfrac{\text{Total area}}{\text{Total area covered by 1 varnish bottle}} = \dfrac{576}{125} = 4.608

Cost of varnishing =

=\text{Cost of 1bottle of varnish}\times \text{Number of varnish bottles}\\=4.608\times 3.50\\=\$16.12

Thus, it will cost approximately $16.12 to varnish all the wooden planks.

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<u>Unit rate 4:</u>

The table

d      n

4       1

8       2

16      4

<u>Unit rate 1/4:</u>

Table

d      n

1       4

4       16

16      64

and

The equation n=4d

<u>Unit rate 16:</u>

Equation:

d = 16n

Step-by-step explanation:

The unit in the unit rate is dollars per unit ounces which means that the unit rate calculated by

Unit\ rate = \frac{dollars}{ounces}

So,

The first option is the equation:

d = 16n\\\frac{d}{n} = 16

The unit rate is 16 dollars per ounce

The second option is the table:

d      n

1       4

4       16

16      64

We can take any pair of values of d and n from the table to calculate the unit rate

So taking

d = 1

n=4

Unit\ rate = \frac{d}{n}\\= \frac{1}{4}

The unit rate for table is: 1/4 dollars per ounces

Third option is the equation:

n = 4d

n = 4d

dividing both sides by n

\frac{n}{n} = \frac{4d}{n}\\1 = \frac{4d}{n}

dividing both sides by 4

\frac{1}{4} = \frac{4d}{4n}\\\frac{d}{n} = \frac{1}{4}

the unit rate is 1/4 dollars per ounce

Fourth option is the table:

d      n

4       1

8       2

16      4

We will take any pair of d and n to find the unit rate

So,

Taking

d = 4

n =1

Unit\ rate = \frac{d}{n} \\= \frac{4}{1}\\=4

The unit rate is 4 dollars per unit ounce.

Keywords: Unit rate, units

Learn more about unit rate at:

  • brainly.com/question/4550858
  • brainly.com/question/4639731

#LearnwithBrainly

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