Winston's bill at the restaurant was $32. He left a tip of 20%.
What was the tip amount? Round your answer to the nearest penny.

One tablespoon is approximately equal to 14.79 grams.

One tablespoon is a unit of volume that is commonly used in cooking and baking recipes. It is important to know how to convert tablespoons to grams, especially when using recipes from different countries that use different units of measurement.

The conversion from tablespoons to grams can vary depending on the substance being measured. This is because different substances have different densities and therefore, different amounts of mass for the same volume.

However, for many substances, including sugar, flour, and butter, This means that if a recipe calls for 1 tablespoon of sugar, for example, you can use 14.79 grams of sugar instead.

It is important to be precise when converting tablespoons to grams, as small variations in the amount of ingredients can have a big impact on the final outcome of a recipe.

To ensure accurate measurements, it is recommended to use a kitchen scale to measure the mass of ingredients in grams, rather than relying on volume measurements in tablespoons.

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Answer:

2.80

Step-by-step explanation:

 you want to figure out the unit rate (minute per page) by divideing 26 by 9  

26 wont go into 9 evenly so you will have decimal

Answer:

base angles each measure 68 degrees

third angle measures 34 degrees

Step-by-step explanation:

let '2x' = measure of each base angle

let 'x' = measure of third angle

the sum of all three must equal 180 degrees so you can write this equation:

2x + 2x + x = 180

combine 'like terms' to get:

5x = 180

divide each side by 5 to get:

x = 34

therefore, twice 'x' is 68

check:

68 + 68 + 34 = 180

180 = 180

Answer:

\(m=-2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

A (-3, 3)

B (-1, -1)

Step 2: Find slope m

The answer for the system is, (2, 5)

y= 5, x= 2

To determine the theoretical yields of each product using stoichiometry, we need to know the balanced chemical equation for the reaction involving NaHCO3.

Without this information, I'm unable to provide a specific answer. However, I can guide you on how to calculate the theoretical yields. First, determine the balanced chemical equation for the reaction. Then, identify the molar ratio between NaHCO3 and each product in the reaction. This ratio can be found by examining the coefficients in the balanced equation.

Next, convert the mass of NaHCO3 (3.80 grams) to moles using its molar mass. Divide the moles of NaHCO3 by the molar ratio to determine the moles of each product. Finally, multiply the moles of each product by its respective molar mass to obtain the theoretical yield in grams for each product.

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The theoretical yield of Na2CO3 is approximately 2.40 grams.

The theoretical yield of CO2 is approximately 1.98 grams.
The theoretical yield of H2O is approximately 0.814 grams.

To determine the theoretical yields of each product using stoichiometry, we need to first balance the chemical equation for the reaction. Once balanced, we can use the stoichiometric ratios to calculate the theoretical yields.

Let's assume the balanced chemical equation for the reaction is:

2 NaHCO3(s) -> Na2CO3(s) + CO2(g) + H2O(g)

To find the theoretical yield of Na2CO3, we need to calculate the moles of NaHCO3 and use the stoichiometric ratio from the balanced equation.

First, calculate the moles of NaHCO3:

Molar mass of NaHCO3 = (22.99 g/mol + 1.01 g/mol + 12.01 g/mol + 3(16.00 g/mol)) = 84.01 g/mol

Moles of NaHCO3 = mass of NaHCO3 / molar mass of NaHCO3
              = 3.80 g / 84.01 g/mol
              ≈ 0.0452 mol

According to the balanced equation, the stoichiometric ratio between NaHCO3 and Na2CO3 is 2:1. Therefore, the moles of Na2CO3 produced would be half of the moles of NaHCO3:

Moles of Na2CO3 = 0.0452 mol / 2
              = 0.0226 mol

To find the mass of Na2CO3, we can use the molar mass of Na2CO3:

Molar mass of Na2CO3 = (22.99 g/mol + 12.01 g/mol + 3(16.00 g/mol)) = 105.99 g/mol

Mass of Na2CO3 = moles of Na2CO3 * molar mass of Na2CO3
             = 0.0226 mol * 105.99 g/mol
             ≈ 2.40 g

Therefore, the theoretical yield of Na2CO3 is approximately 2.40 grams.

Next, let's calculate the theoretical yield of CO2.

According to the balanced equation, the stoichiometric ratio between NaHCO3 and CO2 is 1:1. Therefore, the moles of CO2 produced would be the same as the moles of NaHCO3:

Moles of CO2 = 0.0452 mol

To find the mass of CO2, we can use the molar mass of CO2:

Molar mass of CO2 = (12.01 g/mol + 2(16.00 g/mol)) = 44.01 g/mol

Mass of CO2 = moles of CO2 * molar mass of CO2
           = 0.0452 mol * 44.01 g/mol
           ≈ 1.98 g

Therefore, the theoretical yield of CO2 is approximately 1.98 grams.

Finally, let's calculate the theoretical yield of H2O.

According to the balanced equation, the stoichiometric ratio between NaHCO3 and H2O is 1:1. Therefore, the moles of H2O produced would be the same as the moles of NaHCO3:

Moles of H2O = 0.0452 mol

To find the mass of H2O, we can use the molar mass of H2O:

Molar mass of H2O = (2(1.01 g/mol) + 16.00 g/mol) = 18.02 g/mol

Mass of H2O = moles of H2O * molar mass of H2O
           = 0.0452 mol * 18.02 g/mol
           ≈ 0.814 g

Therefore, the theoretical yield of H2O is approximately 0.814 grams.

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Answer:

r < 3

Step-by-step explanation:

Step 1: Write out inequality

5r + 2 < 17

Step 2: Subtract 2 on both sides

5r + 2 - 2 < 17 - 2

5r < 15

Step 3: Divide both sides by 5

5r/5 < 15/5

r < 3

In this case, r has to be smaller than 3. So anything like -2, -15, or even -12413573875942 works as r, as long as it's smaller than 3.

Answer:

1. 1 ÷ 1000 × 3000 = 3

2. 1 ÷ 1500 × 3000 = 2

3. 1 ÷ 2000 × 3000 = 1.5

4. 1 ÷ 2500 × 3000 = 1.2

5. 1 ÷ 3000 × 3000 = 1

Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

The difference in height between the two towers is 63.25 meters, with the second tower being taller than the first tower by that amount.

The first tower is 112 meters and 50 centimeters tall, which is equal to 112.5 meters. The second tower is 175 meters and 75 centimeters tall, which is equal to 175.75 meters. To find the difference in height between the two towers, we can subtract the height of the first tower from the height of the second tower: 175.75 meters - 112.5 meters = 63.25 meters.

Therefore, the difference in height between the two towers is 63.25 meters. The second tower is taller than the first tower by 63.25 meters. It is important to note that the height of the towers is a crucial factor in many industries such as construction and telecommunications, as it affects the reach and functionality of the structures.

Accurate measurement of tower heights is essential for many industries, as it plays a significant role in the design and functionality of these structures.

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Method:

Front: 6x8 = 48/2 = 24

Back: Also 24

Base: 8x4 = 32

Left: 6x4=24

Add your answers:

24 + 24 + 24 + 32 + 40

Answer:

TSA is 144 cm²

Answer:

Multiply what?

Step-by-step explanation:

If machine a can make 350 widgets in 1 hour and machine b can make 250 widgets in 1 hour then by forming equation we will get that both machines have to work for one hour and 40 minutes to make 1000 widgets.

Given that machine a can make 350 widgets in 1 hour, and machine b can make 250 widgets in 1 hour.

How much time will both machines take to make 1000 widgets?

Suppose the time taken by both machines be x hours. Time is equal because both the machines need to work together.

According to the question the equation will be as under:

350x+250x=1000

600x=1000

x=1000/600

x=10/6

x=5/3

x=1.67

Converting 0.67 to minutes 0.67*60=40.2

Adding will result 1 hour and 40 minutes.

Hence if machine a can make 350 widgets in 1 hour and machine b can make 250 widgets in 1 hour then by forming equation we will get that both machines have to work for one hour and 40 minutes to make 1000 widgets.

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Answer:

first one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.

Finding the square root of a number involves determining the value that, when multiplied by itself, gives the original number. Here are a few methods to find the square root:

Prime Factorization: This method involves breaking down the number into its prime factors. Pair the factors in groups of two, and take one factor from each pair. Multiply these selected factors to find the square root. For example, to find the square root of 36, the prime factors are 2 * 2 * 3 * 3. Taking one factor from each pair (2 * 3), we get 6, which is the square root of 36.

Estimation: Approximate the square root using estimation techniques. Find the perfect square closest to the number you want to find the square root of and estimate the value in between. Refine the estimate using successive approximations if needed. For example, to find the square root of 23, we know that the square root of 25 is 5. Therefore, the square root of 23 will be slightly less than 5.

Using a Calculator: Most calculators have a square root function. Simply input the number and use the square root function to obtain the result.

It's important to note that finding the square root of non-perfect square numbers typically results in an irrational number, which has a non-repeating and non-terminating decimal representation.

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Answer:

I know that the equation has infinity many solution

12x+8=12x+8

That would be the final answer

The value of the equation is P = 10x² - 4x + 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as P

Now , the value of P is = ( A + B ) - ( A - B )

Let the first expression be A = 3x² + 2x + 4

Let the second expression be B = 5x² - 2x + 3

Substituting the values in the equation , we get

A - B = 3x² + 2x + 4 - ( 5x² - 2x + 3 )

On simplifying , we get

A - B = 3x² + 2x + 4 - 5x² + 2x - 3

A - B = -2x² + 4x + 1   be equation (1)

And ,

A + B = 3x² + 2x + 4 + ( 5x² - 2x + 3 )

A + B = 8x² + 7   be equation (2)

Now , the value of P is

P = ( A + B ) - ( A - B )

On simplifying , we get

P = 8x² + 7 - ( -2x² + 4x + 1 )

P = 8x² + 7 + 2x² - 4x - 1

P = 10x² - 4x + 6

Hence , the equation is P = 10x² - 4x + 6

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Answer:

-4

Step-by-step explanation:

-6 - (-2)

-6 + 2

-4

Answer:

-4

Step-by-step explanation:

-6 -(-2)=-4

Hoped that helped:P

Answer:

  ⊥ to AB : x +y = 6

  ⊥ to AC : x -3y = 0

  ⊥ to BC : x +3y = 9

  see the attachment for a graph

Step-by-step explanation:

You want the equations and graphs of the perpendicular bisectors of AB, BC, and AC where the points are A(1, 2), B(4, 5), and C(2, -1). You want to relate this to finding the center of a circle through three non-collinear points.

The perpendicular bisector of a segment PQ with P(x1, y1) and Q(x2, y2) can be written as ...

  (x2-x1)(x -(x1+x2)/2) +(y2-y1)(y -(y1+y2)/2) = 0

Applying this to the given segments, we have ...

  ⊥ to AB : (4 -1)(x -(4+1)/2) +(5 -2)(y -(5+2)/2) = 0   ⇒   x +y = 6

  ⊥ to AC : (2 -1)(x -(2+1)/2) +(-1 -2)(y -(-1+2)/2) = 0   ⇒   x -3y = 0

  ⊥ to BC : (2 -4)(x -(2+4)/2) +(-1 -5)(y -(-1+5)/2) = 0   ⇒   x +3y = 9

The attachment shows a graph of the lines and their single point of intersection.

Each perpendicular bisector is the locus of the centers of circles through the end points of the respective segments. Then the intersection of those bisectors is the center of a circle through all of the points.

Solving any pair of these equations simultaneously gives the circle center as (4.5, 1.5). This is point D on the graph.

The given points are non-collinear, and the intersection of the perpendicular bisectors is the center of a circle through them. The method described in this problem is a suitable method for finding the circle center. (If the three points are considered a triangle, this center is called the "circumcenter.")

__

Additional comment

We have written the equations for the lines in standard form, with a positive leading coefficient and mutually prime integers. You will notice the graphing program wrote the same equations for those lines.

Chebyshev's theorem states that for any distribution, the proportion of observations in any sample or population that lie within k standard deviations of the mean is at least 1 - 1/k². This means that the farther away an observation is from the mean, the less likely it is to occur.

Therefore, Chebyshev's theorem provides a measure of how spread out a distribution is. In contrast, the formula for the coefficient of variation is the standard deviation of the observations divided by their mean. It is a measure of the relative variability of a distribution. When this value is small, it indicates that the distribution is less spread out. In other words, the observations are closer to the mean. Finally, the statement that approximately 68% of all observations fall within one standard deviation of the mean is known as the empirical rule. This rule only applies to distributions that are bell-shaped and symmetrical.

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The mean outcome for these 10 games with a spread between 3.5 and 6.5 is 4.95.

To find the mean of the outcomes of games with a spread between 3.5 and 6.5, we need to know the outcomes of all the games within that range.

Assuming that we have a set of data containing the outcomes of all games with a spread between 3.5 and 6.5, we can calculate the mean by summing up all the outcomes and dividing by the total number of games.

For example, let's say we have the following outcomes for 10 games with spreads between 3.5 and 6.5:

Game 1:  4.5

Game 2: 5.5

Game 3: 6.5

Game 4: 4.0

Game 5: 3.5

Game 6: 5.0

Game 7: 6.0

Game 8: 3.5

Game 9: 4.5

Game 10: 5.5

To find the mean outcome, we add up all the outcomes and divide by 10:

(4.5 + 5.5 + 6.5 + 4.0 + 3.5 + 5.0 + 6.0 + 3.5 + 4.5 + 5.5) / 10 = 4.95

Therefore, the mean outcome for these 10 games with a spread between 3.5 and 6.5 is 4.95.

It's important to note that this calculation assumes that all the games within the given spread are equally represented in the dataset, and that there are no significant outliers or anomalies that may skew the mean outcome.

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we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

The xz-plane is the plane formed by the x-axis and the z-axis. To find a vector parametrization of a curve in this plane, we need to express the x and z coordinates of the curve as functions of a parameter t. In this case, we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

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The test is determined whether the population variance is less than 7.

The hypothesis formulation-

‘H0: σ² ≥ 7’

‘H1: σ² < 7’

Now let us solve this question options-wise:

Option a is incorrect because we should always contain the ‘=’ or ‘≥’ or ‘≤’ sign, and in the null hypothesis, and also this option denotes the standard deviation, not the variance.

Option b is correct because it contains a ‘≥’ sign and it is the right complement to the alternative hypothesis.

Option c is incorrect because it measures the standard deviation instead of the variance.

Option d is incorrect because it has the lower limit of the variance as 49 instead of 7

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full question:

We are interested in testing to see if the variance of a population is less than 7. The correct null hypothesis is

a. σ< 7.

b.σ^2≥7.

c. σ< 49.

d.σ^2≥ 49

The population was 6.98 million in 1900. The population of New York decreased with respect to time.

What is an exponential function?

An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.

The population of New York state can be modeled by

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}\)

P is the population and t is the number of years since 1800.

The difference between the year 1900 to 1800 is 100.

Putting t = 100 in the given model:

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}\)

\(P(t)=\frac{19.71}{1+61.22e^{-3.513}}\)

P(t) = 19.71/2.8248

P(t) = 6.9774

P(t) = 6.977 (rounded to the nearest thousands)

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Answer:

D

Step-by-step explanation:

Answer:

x > -7 hope this helps

Step-by-step explanation:

Sampling bias is any systematic error that occurs in the sample collection process that causes a non-random sample to be chosen, and hence a non-random sample of the population to be chosen. Here are the possible ways that can make sampling techniques biased.

Biases that can occur in a simple random sample include the following:SRSs can miss subpopulations or overlook them.SRSs can be underrepresented or overrepresented in the sample. The sample may not be a good representation of the population.2. Systematic Random Sample Systematic sampling can introduce a bias into the sample due to the fact that the sampling method uses a pattern. The bias can be introduced by the pattern if it causes the sampling to exclude or include certain subgroups of the population.3. Cluster Sample:The selection of a non-random cluster sample can cause a bias in the results.

For example, if a city is chosen as a cluster and a random sample of people is selected from that city, the sample may not represent the entire population of that city. Stratified Sample:Stratification can introduce bias into a sample if the strata is not chosen carefully. If the strata is not representative of the entire population, the sample may not be representative of the entire population. Sampling bias may occur in the form of a multi-stage sample if the selection of samples is not random. For example, if a researcher selects a random sample of schools from a list, then selects a random sample of students from each school, the sample may not be representative of the entire population of students.6. Voluntary Sample:Voluntary sampling may be biased because those who choose to participate may not be representative of the population as a whole.

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Answer:

$110.70

Step-by-step explanation:

I=PRT

P (principal)=360

R(rate)=12.3%

T(time)=30 months (2 and half years)

I=360*12.3%*2.5

=$110.70

Just to note 12.3% is also 0.123 we sometimes change it into a decimal.

Step-by-step explanation:

A .

1150-1090=60

60feet/5sec = 12feet/sec

B.

yes it's is constant , because is decreasing by 60 feet in every 5 sec

C.1150

Based on the information of an equilateral triangle △STU and the congruence of angles ∠TXU and ∠TVS, it can be concluded that UX is congruent (≅) to SV. The proof involves establishing the congruence of corresponding angles and applying the angle-angle (AA) congruence criterion.

To prove that UX is congruent (≅) to SV using the information, we will utilize the fact that △STU is an equilateral triangle and the congruence of angles ∠TXU and ∠TVS.

We have:

△STU is an equilateral triangle (∠STU = ∠TUS = ∠UST = 60 degrees)

∠TXU ≅ ∠TVS

Proof:

1. Draw a diagram of equilateral triangle △STU.

2. Draw a line segment UX and SV originating from U and S, respectively, towards the interior of the triangle.

3. ∠TXU and ∠TVS are congruent (given).

4. ∠STU = ∠TUS = ∠UST = 60 degrees (equilateral triangle property).

5. Since ∠STU and ∠TUS are both equal to 60 degrees and ∠TXU ≅ ∠TVS, we can conclude that ∠UTX ≅ ∠VTS (angle sum property of triangles).

6. By Angle-Angle (AA) congruence, ∆UTX ≅ ∆VTS.

7. Since corresponding parts of congruent triangles are congruent, we have UX ≅ SV (side UT ≅ side VT).

Therefore, we have proved that UX is congruent (≅) to SV using the information.

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Answer:

Step-by-step explanation: