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aniked [119]
3 years ago
10

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. For each question, explain or

Mathematics
2 answers:
Aleks [24]3 years ago
7 0

Answer:

The answer for:

a. 11355 milliliters.

b. 946.25 milliliters.

Step-by-step explanation:

Given:

One gallon= 3785(ml) milliliters.

Four quarts= 1gallon.

Now, for 3 gallons multiply by 3 3785 ml\times3=\\11355ml.

And then, for 1 quart :

(4 quarts= 1 gallon, 1 quarts= \frac{1}{4} gallon).

Divide by 4, 3785\times\frac{1}{4}=946.25 ml.

Therefore, the answer for:

a. 11355 milliliters.

b. 946.25 milliliters.

castortr0y [4]3 years ago
6 0

Answer:

a.     3 gallons =   11,355 millilitres             b.1 quart = 946.25 millilitres

Step-by-step explanation:

To solve this problem, we will follow the steps below;

a) How many millilitres are in 3 gallons.

Using proportion;

Let x be the number of 3 gallons in millilitres

3,785 millilitres = 1 gallon

     x                   = 3 gallons

Cross-multiply

x = 3 × 3785

x =11,355 millilitres

There are 11,355 millilitres in 3 gallons

3 gallons =   11,355 millilitres

2) How many millilitres are in 1 quart

Using proportion;

Let x be the number of millilitres in 1 quart

3785 millilitres = 4 quarts

  x                     = 1 quart

cross -multiply

4x = 3785

Divide both-side of the equation by 4

4x/4 = 3785/4

x =946.25 millilitres

Therefore  1 quart = 946.25 millilitres

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\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

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c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


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