anna bought a sweater at 40% off the original price. if she paid $12 what was the original price of the sweater?

Answer:

The conclusion on the additive inverse is correct while the conclusion on the multiplicative inverse is incorrect

Step-by-step explanation:

Here, we want to find out if what Angie is saying is correct or not.

The equation we are considering is m(t) = (-28/5)t

Let’s start with the additive inverse

When we talk of the additive inverse, we mean that particular value which when added to the original equation will give the identity element 0

She said this value is (28/5)t

This is actually correct. This is because when we add (-28/5)t to (28/5)t , we will get 0

Let’s look at the multiplicative inverse

When we talk of the multiplicative inverse, we are referring to that value, such that when we multiply it by the original expression, we will have a value of 1

This is actually incorrect. This is because an expression cannot be a multiplicative inverse of itself. Looking at the values given for the number and its multiplicative inverse, we can see that these values are actually the same which is not supposed to be so and hence, the two cannot be multiplicative inverse of each other.

Answer:

Angie is correct about the additive inverse only.

Step-by-step explanation:

Answer:

the correct answer is -1/16 i believe

Answer:

v=pi * rayon² * h

v= 3.14 * 3² *4

v= 3.14 * 9 * 4

v= 113.04

The solution to the equation 3( x + 4.1 ) = 5 + x + 12.1 is x = 14.7

Given the equation in the question;

3( x + 4.1 ) = 5 + x + 12.1

Apply distributive property to remove parenthesis.

3( x + 4.1 ) = 5 + x + 12.1

3x + 12.3 = 5 + x + 12.1

Move all terms containing the variable x to the left and the constant terms to the right side of the equation.

3x - x + 12.3 = 5 + 12.1

3x - x  = 5 + 12.1 - 12.3

2x  = 5 + 12.1 - 12.3

2x  = 5 + 24.4

2x  = 29.4

Divide both sides by 2

2x /2 = 29.4/2

x = 29.4/2

x = 14.7

Therefore, the value of x is 14.7.

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Answer: yes

Step-by-step explanation:

Step-by-step YESSS!!!

explanation:

Answer:

Third answer.

Step-by-step explanation:

To simplify, we can factor 'x' from the equation, giving us:

\(\frac{x(1)}{x(4 + x)} = \frac{1}{x+4}\)

However, we must put a domain restriction to ensure that the denominator will not equal 0. This means that 'x+ 4' cannot equal zero. Therefore, x ≠ -4.

The third answer is correct.

Answer:

C

Step-by-step explanation:

the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

and we see in the graph, when x = 0, the line goes through y = 2.

so, the equation has to be

y = -1/3 × x + 2

therefore, C is the right answer.

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

The volume of the Canada post mailbox is given as follows:

1,152,115.5 cm³.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

Hence the volume of the rectangular bottom is given as follows:

V = 180 x 70 x 85.5

V = 1,077,300 cm³.

The triangular top has a height of 25 cm, hence the volume is obtained as follows:

V = 0.5 x 25 x 70 x 85.5 (multiply by 0.5 as it is a triangle).

V = 74812.5.

Hence the volume is given as follows:

1077300 + 74812.5 = 1,152,115.5 cm³.

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Answer:

The answer is 30

Step-by-step explanation:

12 ÷ 40% = 30

First is similar

∆XYZ and ∆MNO are congruent

Polygons are similar

The square one is congruent

First one on right side is similar

Rugs are similar

rectangles are similar

Answer:

6 vertices have a triangular prism. I hope I helped:)

A triangular prism has six vertices.

In order to calculate the number of vertices on any type of prism, take the number of corners on one side and multiply by two. For example, a rectangular prism has eight vertices, or two sets of four. read more

I hope this helps =)

Answer:

pretty sure it is 11

The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Answer:

For this problem we can use the following proportional rule:

\( \frac{73 mi}{25 gal}= \frac{x}{75 gal}\)

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition \( D=vt\). If we solve for x we got:

\( x =75 gal (\frac{73 mi}{25 gal}) =219mi\)

And the best answer would be:

219 mi

Step-by-step explanation:

For this problem we can use the following proportional rule:

\( \frac{73 mi}{25 gal}= \frac{x}{75 gal}\)

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition \( D=vt\). If we solve for x we got:

\( x =75 gal (\frac{73 mi}{25 gal}) =219mi\)

And the best answer would be:

219 mi

Answer:

Step-by-step explanation:

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-2,\:-3\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:-3\right)\\\\m=\frac{-3-\left(-3\right)}{8-\left(-2\right)}\\\\m=0\)

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

Step-by-step explanation:

y = kx

If y = 25x , then k = 25

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.

The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.

Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.

In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.

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Answer:

The frequency distribution for the data is

     Blood Type (X)              Frequency(F)             Relative Frequency P(X)\(= \frac{F}{T}\)

                   O                                  210                                    0.42

                   A                                   223                                   0.45

                   B                                      51                                     0.102

                  AB                                     16                                     0.032  

Total(T)                                                500

The  probability is  \(P(O) = 0.42\)

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  500

     The number with blood type O is  k =  210

       The number with blood type A  is a =  223

       The number with blood type AB is  c = 16

        The number with blood type B is  b =  51  

Generally the frequency table for this data is  

 Blood Type (X)              Frequency(F)             Relative Frequency P(X)\(= \frac{F}{T}\)

                   O                                  210                                    0.42

                   A                                   223                                   0.45

                   B                                      51                                     0.102

                  AB                                     16                                     0.032  

Total(T)                                                500

Generally the probability that a randomly selected person from the population has type O is    \(P(O) = 0.42\)

Answer:

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)

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 )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then

y = \(\frac{4}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 ) , then

6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line

Answer:

y = 3.3x

Step-by-step explanation:

for the table we can determine that every hamburger delivery takes five minutes

you can do this by dividing 4 by 0.8 which gets you five

the pizza deliverys speed can be figured out by dividing 50 by 15

this gets you 3.33...

therefore y = 3.3x would be your answer as the pizza delivery is faster

Answer & Step-by-step explanation:

In hypothesis testing, the claim being made is called the alternative hypothesis. The null hypothesis is the opposing statement, and it is presumed to be true until sufficient evidence suggests otherwise. The wording of the claim must be specific and precise, and one must clearly state the population, the parameter of interest, and the direction of the hypothesis test (i.e., one-tailed or two-tailed).

For example, a well-worded alternative hypothesis might be "The new teaching method will result in a higher mean test score for students than the traditional teaching method." In this case, the null hypothesis would be "The new teaching method will not result in a higher mean test score for students than the traditional teaching method."

An incorrectly worded claim might be "The new teaching method is better than the traditional teaching method." This claim is too vague because it does not specify in what way the new method is better, nor does it give a direction for the hypothesis test.

In summary, when conducting a hypothesis test to support a claim regarding the mean test score under a new teaching method, the wording of the claim must be specific and precise, and the claim will become the alternative hypothesis.

Answer:  3x-180

Step-by-step explanation:

Given: Expression for Revenue = \(5x^2 + 2x - 80\)

Expression for Cost = \(5x^2- x + 100\)

If profit is the difference between the revenue and the cost then the expression for profit will be:

Profit = Revenue - cost

\(=5x^2 + 2x - 80-(5x^2- x + 100)\\\\=5x^2 + 2x - 80-5x^2+x-100\ \ [\text{Multiply ' - ' sign inside the bracket}]\\\\=2x+x-80-100\\\\=3x-180\)

Hence, the expression represents the profit is 3x-180 .

Answer:

its 3x-180 and for the seond one its $2,820

Step-by-step explanation:

got it right on edge