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2 years ago

FOR CHANCE TO BE MARKED AS BRAINLIEST PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!

Mathematics

1 answer:

Vsevolod [243]2 years ago

5 0

Isn't it already telling you how much each oz of detergent is?

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3 years ago

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The perimeter of a square is 16a + 8. What is the length of one side?

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3 years ago

- Jimmy is 440 miles from home, but he is driving back at a speed of 60 mph. Which equation

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3 years ago

The R-value of insulation is a measure of its ability to resist heat transfer. For fiber-glass insulation, 3½ inches is rated at

Solnce55 [7]

Answer:

$R = \dfrac{16}{5}t + \dfrac{1}{5}$

where R is the R-value and t is the thickness in inches.

Step-by-step explanation:

We are given the following in the question:

The R-value of fiberglass insulation and f its thickness have a linear relation.

Let R be the R-value and t be the thickness. Then, the equation can be written as:

$R = at + b$

where a and b are constants.

When t = 3.5, R = 11

$11 = 3.5a + b$

When t = 6, R = 19

$19 = 6a + b$

Solving the two equation, using the elimination method, we have,

$19-11 = 6a + b-(3.5a + b)\\8 = 2.5a\\\\\Rightarrow a = \dfrac{16}{5}\\\\11 = 6(\dfrac{16}{5}) + b\\\\\Rightarrow b = \dfrac{1}{5}$

Thus, the linear relationship is given by:

$R = \dfrac{16}{5}t + \dfrac{1}{5}$

where R is the R-value and t is the thickness in inches.

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3 years ago