Three liters of soda cost $2.85. How much soda do you get per dollar? Round your answer to the nearest hundredth, if necessary.

Answer:

See step by step

Step-by-step explanation:

1. First question, do they represent functions? The one o. the left is a function because if you do the vertical line test. It only passes through a point once so it is a function. while on the right if you do the vertical line test, it passes through a point twice so it not a function. For 2.. n other words, since the domain of this equation is all real numbers or negative infinity to positives infinity

let say x=1 and x=-1 and we use the equation

\(y = {x}^{2} \)

when we plug both those in we get

\(y = 1\)

this means that we can have two different x-values to equal out to the same y value. This is the definition of a function. So the one on the right is a function.

However the one on the left is a relation. TO Prove it, the domain of that function is all real numbers equal to or greater than zero, so let use 4.

\( {y}^{2} = 4\)

\( {y} = 2 \: or \: - 2\)

Since there are 2 possible answer choices as the y value, this isn't a function. It a relation. It maps a group of ordered sets to one x value. Which is the opposite of the function. So the one of the left is a relation

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

159 hwqb Step-by-step explanation:2n3wq,brudj32nwqrdb3wndj32wsd

Answer: No, she will not be audited

Step-by-step explanation: 40 - 26 =16 which is the increase. the increase is 16/40 which is equal to 2/5 which can be expressed as a percent such as 40% far away from 62.5

Answer:

\(f\left(x\right)>-4\)

Step-by-step explanation:

\(f\left(x\right)>k\)

\(k=-4\)

\(f\left(x\right)>-4\)

Answer:

16

Step-by-step explanation:

the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. if a 1,2,3 or 4 round  down

The area of the composite figure is equal to the area of a triangle plus the area of a rectangle

so

step 1

Find out the area of the rectangle

A=(20)*(12)

A=240 in2

step 2

Find out the area of the triangle

A=(1/2)(20)*(10)

A=100 in2

therefore

the area of the figure is

A=240+100

Answer:

Point form:

1:

(1,2)

Equation form:

1, y = 2

2:

Point form:

(3,0)

Equation form:

x = 3,y,=0

Step-by-step explanation:

This is given by the limit

\(\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}\)

Observe that \(2x^2-5x+3=0\) when \(x=1\), and factorizing gives

\(2x^2 - 5x + 3 = (x - 1) (2x - 3)\)

so that

\(\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}\)

(A)

Answer:

[-1,6]

Step-by-step explanation:

As stated from the previous question you asked, the range is the range of the Y values.

You also have to be mindful of the closed circles. Closed circles means it is included in the range.

The range is [-1,6]

The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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The two composite functions have their values to be (w o s)(x) = 7x² - 49x + 33 and (s o w)(x) = (7x - 2)² - 7(7x - 2) + 5

Composite function 1

The given parameters are

w(x) = 7x - 2

s(x) = x² - 7x + 5

To calculate (w o s)(x), we make use of

(w o s)(x) = w(s(x))

So, we have

(w o s)(x) = 7s(x) - 2

Substitute s(x) = x² - 7x + 5

(w o s)(x) = 7(x² - 7x + 5) - 2

Expand

(w o s)(x) = 7x² - 49x + 35 - 2

Simplify

(w o s)(x) = 7x² - 49x + 33

Composite function 2

Here, we have

w(x) = 7x - 2

s(x) = x² - 7x + 5

To calculate (s o w)(x), we make use of

(s o w)(x) = s(w(x))

So, we have:

(s o w)(x) = w(x)² - 7w(x) + 5

Substitute w(x) = 7x - 2

(s o w)(x) = (7x - 2)² - 7(7x - 2) + 5

So, the composite functions are (w o s)(x) = 7x² - 49x + 33 and (s o w)(x) = (7x - 2)² - 7(7x - 2) + 5

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

17

Step-by-step explanation:

65% can be simplified to \(\frac{13}{20}\). Multiplying \(\frac{13}{20}\) by 25 gets 16.25 but since 16 would get you under 65%, you would need to correctly answer 17 questions.

The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

10b/y^2

Step-by-step explanation:

Hope this helps! :)

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

Insured = 72%.

Uninsured = 28%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Here is a table classifying 116 thousand US households (in thousands) in

2013 by tenure and insurance status:

Insurance status      Owns home   Rents home

Insured                              71                13

Uninsured                         27               5

Total house = 71 + 13 + 5 + 27 = 116

Insured = (71 + 13)/116 = 72%.

Uninsured = (5 + 27)/116 = 28%.

Therefore, 72% = insured and 28% = uninsured.

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Step-by-step explanation:

so, she spent 25-16.39 = $8.61 on the ribbon.

1 yard of the ribbon costs $0.21.

how many yards did she buy with that amount of money ?

well, as many times as 0.21 fits into 8.61 :

8.61 / 0.21 = 41

so, she bought 41 yards of ribbon.

I'm happy to help you today!

Answer:

41 yards is correct

Step-by-step explanation:

Step 1. The information we have is:

Originally Jane had $25 on her debit card.

She made a purchase of bulk ribbon for 21 cents per yard.

And after that she ended up with $16.39 on the card.

Step 2. Make an equation to describe the situation.

The equation that describes this situation is:

\(\tt 25-0.21y=16.39\)

Where 25 is the initial amount and to that, we subtract 0.21y, where y is the number of yards that she bought of ribbon. And all of this has to be equal to the final amount of 16.39.

Step 3. Solve the equation for y:

To solve for y, we subtract 25 to both sides of the equation:

⇒ \(\tt-0.21y=16.39-25\)

⇒ \(\tt -0.21y=-8.61\)

Then, divide both sides of the equation by -0.21:

\(\tt y=\frac{-8.61}{-0.21}\)

The result is:

\(\tt y=41\)

The answer is 41 yards of ribbon.

\(-Nature-\)

Answer:

It would be C

Step-by-step explanation:

This triangle has two equal sides and one side that is not equal to the other two, so it is an isosceles triangle.

Answer:

A

Explanation:

Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.

Answer:

80

Step-by-step explanation:

Multilply 100 by 12 then divide your answer by 15.

According to the Subtraction property of equality, the equality of an expression holds true if the same finite number is subtracted from both sides of the equality,

Now, observe the given figure carefully.

We will use the above-mentioned property to get rid of the common shapes that exist on both sides. Here, the balance represents equality between both sides.

Consider that the pans are initially balanced. And both sides contain a red cube. So we can subtract or eliminate the red cube and the equality will still hold true.

Similarly, we can eliminate the blue sphere.

At this point, we have the purple pyramid and a yellow diamond on the left side, and on the right side, we have 4 pieces of yellow diamond.

Observe that one piece of yellow diamond is common to both sides, so it can also be eliminated from both sides.

After this, the left side will contain only the purple pyramid while the right side contains 3 yellow diamonds. Since we are always using the subtraction property to eliminate the shapes, the balance must be maintained throughout the process.

At last, there must exist a balance between the left side containing the purple pyramid only, and the right side containing 3 yellow diamonds.

Therefore, it can be concluded that one purple pyramid is equal to 3 yellow diamonds.

The height of the kite off the ground is approximately 17.87 feet rounded to two decimal places.

To solve the problem can use similar triangles.

Let's draw a diagram:

     A

      |\

      | \

   h |   \   x

      |      \

      |____\

       d   B

Point A represents the kite, point B represents the tip of the kite's shadow on the ground and point D represents the point directly below the spool of string on the ground.

The height of the kite represented by h.

The length of the string is 42.9 feet so the distance from point A to point D is also 42.9 feet.

The distance from point B to point D is 16.5 feet.

These two lengths to find the length of segment AB:

AB/AD = BD/AD

AB/42.9 = 16.5/42.9

AB = 16.5

So AB is 16.5 feet.

Now we can use the similar triangles to find h.

We have:

h/x = AB/AD

h/x = 16.5/42.9

h = x × 16.5/42.9

We need to find x.

The spool of string is 3.4 feet above the ground and we know that the kite is directly above the spool when it is at its highest point in the sky.

So the height of the kite above the ground is the same as the height of the spool above the ground plus the length of string that has been let out:

x = 3.4 + 42.9

= 46.3

Now we can substitute this value of x into the previous equation to find h:

h = 46.3 × 16.5/42.9

= 17.87

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Answer:

\(\displaystyle \frac{2(x + 2)}{x - 10}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

\(\displaystyle \frac{2x^2 + 20x + 32}{x^2 - 2x - 80}\)

Step 2: Simplify

Step-by-step explanation:

X +1 + X + 2

X + X + 1 + 2

2x + 3

Therefore it's 2x + 3

The house owned by Jennifer and Neil is worth $319,000 on the market. the $280,000 assessed value. $19.70 is paid in property taxes annually for every $1,000 of assessed value.

a. Their home's property tax is $5,516.

b. Their monthly property tax payment is $459.67.

a. The assessed value of the home is $280,000. To find the property tax on their home, we need to first calculate the assessed value in thousands of dollars by dividing by 1,000:

Assessed value in thousands of dollars = $280,000 / 1,000

Assessed value in thousands of dollars = $280

The tax rate is $19.70 per $1,000 of assessed value. To find the tax on their home, we can multiply the assessed value in thousands of dollars by the tax rate per $1,000:

Tax on home = $280 x $19.70

Tax on home = $5,516

Therefore, the property tax on their home is $5,516.

b. To find the monthly property tax payment, we can divide the annual property tax by 12:

Monthly property tax payment = $5,516 / 12

Monthly property tax payment = $459.67 (rounded to the nearest cent)

Therefore, Jennifer and Neil pay approximately $459.67 per month toward property taxes.

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Answer:4$

Step-by-step explanation:

The parameters for the uniform distribution should be of a = 10 and b = 20.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

In this problem, a contractor has estimated that the minimum number of days to remodel a bathroom for a client is 10 days, hence the lower bound is of a = 10.

He also estimates that 80% of similar jobs are completed within 18 days, hene P(X < 18) = 0.8, thus the upper bound is given by:

\(P(X < x) = \frac{x - a}{b - a}\)

\(0.8 = \frac{18 - 10}{b - 10}\)

\(0.8b - 8 = 8\)

\(0.8b = 16\)

\(b = \frac{16}{0.8}\)

\(b = 20\)

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