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CaHeK987 [17]
3 years ago
14

Seawater contains approximately 1.2 ounces of salt per liter on average. How many gallons of seawater, to the nearest tenth of a

gallon, would contain 1 pound of salt?
Mathematics
2 answers:
miss Akunina [59]3 years ago
5 0

Answer:

3.5 gallons of sea water.

Step-by-step explanation:

Let x represent gallons of seawater.  

We have been given that seawater contains approximately 1.2 ounces of salt per liter on average.

To find the number of gallons of seawater that would contain 1 pound of salt, we will use proportions.

\frac{1 \text{ liter}}{1.2\text{ ounce}}=\frac{x}{1\text{ pound}}

Now, we will convert our given units as:

1 pound = 16 ounces

1 liter = 0.264172 gallons  

\frac{\text{0.264172 gallons}}{1.2\text{ ounce}}=\frac{x}{\text{ 16 ounce}}

\frac{\text{0.264172 gallons}}{1.2\text{ ounce}}\times\text{ 16 ounce}=\frac{x}{\text{ 16 ounce}}\times\text{ 16 ounce}

\frac{\text{4.226752 gallons}}{1.2}=x

x=\frac{\text{4.226752 gallons}}{1.2}

x=3.52229\text{ gallons}\approx 3.5\text{ gallons}

Therefore, 3.5 gallons of seawater would contain 1 pound of salt.

bezimeni [28]3 years ago
4 0
If there are 16 ounces in 1 pound, you would need 13 1/3 liters of seawater to get 1 pound of salt.

13 1/3 liters is equal to around 3.5 gallons
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Answer:

Distributive Property

Step-by-step explanation:

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3 years ago
In right △ABC, the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find the sides of △ABC if AD = 8 cm
tangare [24]

Answer:

AC=8\sqrt{3}\ cm\\ \\AB=16\sqrt{3}\ cm\\ \\BC=24\ cm

Step-by-step explanation:

Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.

By the Pythagorean theorem,

AD^2=AH^2+DH^2\\ \\8^2=AH^2+4^2\\ \\AH^2=64-16=48\\ \\AH=\sqrt{48}=4\sqrt{3}\ cm

AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:

\dfrac{CA}{CD}=\dfrac{AH}{HD}\\ \\\dfrac{CA}{CD}=\dfrac{4\sqrt{3}}{4}=\sqrt{3}\Rightarrow CA=\sqrt{3}CD

Consider right triangle CAH.By the Pythagorean theorem,

CA^2=CH^2+AH^2\\ \\(\sqrt{3}CD)^2=(CD+4)^2+(4\sqrt{3})^2\\ \\3CD^2=CD^2+8CD+16+48\\ \\2CD^2-8CD-64=0\\ \\CD^2-4CD-32=0\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144\\ \\CD_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm 12}{2}=-4,\ 8

The length cannot be negative, so CD=8 cm and

CA=\sqrt{3}CD=8\sqrt{3}\ cm

In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,

AB=2CA=16\sqrt{3}\ cm

By the Pythagorean theorem,

BC^2=AB^2-AC^2\\ \\BC^2=(16\sqrt{3})^2-(8\sqrt{3})^2=256\cdot 3-64\cdot 3=576\\ \\BC=24\ cm

3 0
3 years ago
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Vesna [10]
4/5x + 4/3 = 2x....there are 2 ways to do this...one with fractions, one without.

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3 years ago
Read 2 more answers
What percentage of 128 is 96?
katrin [286]
So, since 100% = 128, x should equal 96, and we are trying to find x.
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Answer: 25,600
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