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CaHeK987 [17]
2 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]2 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]2 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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Which part of the proof does the fourth statement and reason represent?
denis-greek [22]

Answer:

Option B is correct.

Reason:It is an argument

Step-by-step explanation:

Given: AB \cong BC  and BC \cong EF

By transitive property:  a = b  and b = c then, a =c

⇒AB \cong EF

AB = EF                                [def of \cong segment]

By Segment Addition Postulate states that given  two points A and C, and a third point B lies on the line segment AC if and only if the distances between the  points satisfy the equation

AB + BC = AC.

Since, the line segment EG , F lies on the line segment;

then, by segment addition postulates we have;

EG = EF + FG

By substitution AB=EF

⇒ EG = AB + FG                     hence proved!

Since, in the fourth statement reason is:  It is an argument

3 0
2 years ago
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

d=16t

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

f(t)=16t

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

t\geq0

The range of the function is the interval------->  [0,∞)

f(t)\geq0

<u>Statements</u>

<u>a) The independent variable, the input, is the variable d, representing distance</u>

The statement is false

Because the  independent variable is the variable t

<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>

The statement is true

Because the distance's equation in function notation is equal to

f(t)=16t

<u>c) The initial value of the scenario is 16 miles per hour</u>

The statement is false

Because 16 represent the rate or  the slope of the linear equation

<u>d) The equation t = d + 16 represents the scenario</u>

The statement is false

Because, the scenario is represented by the function f(t)=16t

<u>e) The function f(t) = 16t represents the scenario</u>

The statement is true

8 0
2 years ago
Read 2 more answers
Part A: During what interval(s) of the domain is the water balloon's height increasing?
Advocard [28]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet

Part B: During what interval(s) of the domain is the water balloon's height staying the same?

Between 2 and 4 seconds, the height remains the same at 75 feet. Also from 10 seconds the height of the balloon is at 0 feet

Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest?

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet (i.e. -17.5 ft/s)

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet (i.e. -10 ft/s)

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet (i.e. -10 ft/s)

Hence it decreases fastest from 4 to 6 seconds

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds

From 10 seconds, the balloon is at the ground, so it remains at the ground (0 feet) even at 16 seconds

6 0
2 years ago
Elise does not like sorbet, so she omits that ingredient and adds 5 percent of each of the other ingredients. How many cups of p
Arisa [49]

Answer:

20 cups of punch

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Elise adds 5 percent of each of the other ingredients

then

the new percentages are

Ginger Ale=40%+5%=45%

Orange Juice=25%+5%=30%

Pineapple Juice=20%+5%=25%

Sorbet=0%

Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion

Let

x ----> the total cups of punch

\frac{6}{30\%}=\frac{x}{100\%}\\\\x=6(100)/30\\\\x=20\ cups\ of\ punch

6 0
2 years ago
Nicholas scoops a few gum balls into his bag when he weighs it he finds that he scooped 0.76 pounds how much will the gum balls
11111nata11111 [884]

Answer:

The cost of 0.76 pound gum ball is $2.6448

The cost of 1.5 pounds of sour patch kids is $5.985

Step-by-step explanation:

Consider the provided information.

Nicholas scoops a few gum balls into his bag when he weighs it he finds that he scooped 0.76 pounds. The cost of 1 pound of gum balls is $3.48

This can be written as:

1 pound gum ball= $3.48

Multiply both the sides by 0.76

1×0.76 pound gum ball= $3.48×0.76

0.76 pound gum ball= $2.6448

Hence, the cost of 0.76 pound gum ball is $2.6448

Nichols has decided to buy 1.5 pounds of sour patch kids and the cost of 1 pound of sour patch kids is $3.99

This can be written as:

1 pound sour patch kids = $3.99

Multiply both the sides by 1.5

1×1.5 pound sour patch kids = $3.99×1.5

1.5 pound sour patch kids = $5.985

Hence, the cost of 1.5 pounds of sour patch kids is $5.985

4 0
2 years ago
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