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grin007 [14]
3 years ago
5

Determine if there is a proportional relationship between the two quantities. Explain your reasoning.

Mathematics
2 answers:
Helen [10]3 years ago
5 0

Answer:

Hold on a minute, gotta let my brain wake up.

Step-by-step explanation:

Katyanochek1 [597]3 years ago
3 0

Two quantities are proportional if their ratio is constant. Let's check the ratios:

\dfrac{20}{8}=2.5,\quad \dfrac{12.5}{5}=2.5

So, the two quantities appear to be proportional, and the constant seems to be 2.5.

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87 kilometers

Step-by-step explanation:

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A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu
Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

a = \sqrt{f + 4} - \sqrt{36 - f}

Required

Find f when a  = 4

Substitute 4 for a

4 = \sqrt{f + 4} - \sqrt{36 - f}

Rewrite as:

\sqrt{36 - f} + 4 = \sqrt{f + 4}

Square both sides

(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2

(\sqrt{36 - f} + 4)^2 = f + 4

36 - f + 8\sqrt{36 - f} + 16 = f + 4

Collect Like Terms

8\sqrt{36 - f}= f +f+ 4 - 36 -16

8\sqrt{36 - f}= 2f -48

Divide through by 2

4\sqrt{36 - f}= f -24

Square both sides

16(36-f) = (f - 24)^2

16(36-f) = f^2 - 48f + 576

576-16f = f^2 - 48f + 576

-16f = f^2 - 48f

Collect like terms

f^2 - 48f + 16f = 0

f^2 -32f = 0

Factorize

f(f - 32) = 0

f = 0 or f = 32

f can not be 0 because some units must be ordered.

So, f = 32

6 0
2 years ago
If a person walks 2.4 miles in i.5hours how far can he walk in 3hours
Lubov Fominskaja [6]
I used the cross product method
5x = 2.4 •3
5x=7.2
7.2divided by 5
1.44 miles in 3 hours

Hope I helped
8 0
2 years ago
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