The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?

Answer:

Step-by-step explanation:

Laura walked 7/1.75=4 miles per hour

Ricky walked 12/2=6 miles per hour

Ricki is 2 miles per hour faster

Answer:

-2

Step-by-step explanation:

2(2x + 3) + 5x + 1 = -11

x = -2

2(2× +3) + 5× +1 = -11

Multiply the 2 to what is in the bracket

4×+ 6 + 5× +1 = -11

Group liketerms

4× + 5× = -11 - 1 -6

simply it

9× = - 18

we will divide them by the co-efficient of ×

9× = - 18

________

9 9

x = - 2

The centroid is the point (x, y), where x is the average of the x-coordinates and y is the average of the y-coordinates = (1 + 4 + 6)/3 = 3y = (2 + 4 + 1)/3 = 2The centroid is (3, 2).

To find the centroid of a triangle algebraically, you need to use the formula xc = (x1 + x2 + x3) / 3 and yc = (y1 + y2 + y3) / 3. The centroid of the triangle is located at the point (xc, yc).

First, identify the coordinates of the three vertices of the triangle. These coordinates will be labeled (x1, y1), (x2, y2), and (x3, y3).Then, plug the values of the coordinates into the formula for the centroid.

Add all three x-coordinates together and divide by three. Do the same for the y-coordinates. This will give you the x and y-coordinates of the centroid.For example, let's say the coordinates of the three vertices of the triangle are (1, 1), (3, 2), and (4, 4).

To find the centroid, we would calculate xc = (1 + 3 + 4) / 3 = 8/3 = 2.67 and yc = (1 + 2 + 4) / 3 = 7/3 = 2.33. The centroid of the triangle is located at the point (2.67, 2.33).

In summary, to find the centroid of a triangle algebraically, you need to identify the coordinates of the three vertices of the triangle, and use the formula xc = (x1 + x2 + x3) / 3 and yc = (y1 + y2 + y3) / 3. The point (xc, yc) is the centroid of the triangle.
To find the centroid of a triangle algebraically, use the following steps:

Step 1: Label the vertices of the triangle A(x1, y1), B(x2, y2), and C(x3, y3).

Step 2: Find the midpoint of each side of the triangle. To find the midpoint of AB, use the formula ((x1 + x2)/2, (y1 + y2)/2). Similarly, find the midpoints of BC and CA.

Step 3: Draw a line segment connecting the midpoint of AB to the midpoint of the side AC. This is the median of side AC, which passes through the centroid.

Step 4: Find the equation of the median using the two points from Step 2. Use the point-slope formula: y - y1 = m(x - x1).

The slope, m, is found by taking the difference in y-coordinates over the difference in x-coordinates. Repeat for the other two medians.Step 5: Solve the system of three equations to find the point where all three medians intersect.

This is the centroid. The coordinates of the centroid are (x,y), where x is the average of the x-coordinates of the three vertices and y is the average of the y-coordinates of the three vertices.

Example:Find the centroid of the triangle with vertices A(1,2), B(4,4), and C(6,1).Step 1: Label the vertices'(1,2), B(4,4), and C(6,1)Step 2: Find the midpoints of each side.AB: ((1+4)/2, (2+4)/2) = (2.5, 3)BC: ((4+6)/2, (4+1)/2) = (5, 2.5)CA: ((6+1)/2, (1+2)/2) = (3.5, 1.5)Step 3:

Draw a median.Connect the midpoint of AB, (2.5, 3), to the midpoint of AC, (3.5, 1.5).Step 4: Find the equation of the median using point-slope form = (1.5 - 3)/(3.5 - 2.5) = -1y - 1.5 = -1(x - 3.5)y = -x + 5

Step 5: Repeat for the other two medians and solve the system of equations.-x + 5 = y+1-2x + 10 = y+2x + y = 6The centroid is the point (x, y), where x is the average of the x-coordinates and y is the average of the y-coordinates = (1 + 4 + 6)/3 = 3y = (2 + 4 + 1)/3 = 2The centroid is (3, 2).

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Answer:

I think this is mistake because y=2x^2+6x-10 y=x+5 this is the right

The cost of the shirt, in dollars, after the 30% discount is $17.50.

What is discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.

If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:

30% of $25 = 0.30 x $25 = $7.50

The discount amount is $7.50, so the new price of the shirt after the discount is:

$25 - $7.50 = $17.50

Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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If it has a 15% yearly interest rate and the interest is compounded monthly and the card has $0 minimum payments for the first four years it is active. Therefore, Emma will owe approximately $529.27 in four years.

To calculate how much Emma will owe in four years, we need to use the compound interest formula: A = P (1 + r/n)^(n*t)

where:

A = the amount of money at the end of the investment period

P = the principal amount (the initial amount of money borrowed)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time period in years

In this case, the principal amount is $300, the annual interest rate is 15%, and the interest is compounded monthly (so n = 12). The time period is four years.

Plugging in the values, we get:

A = 300(1 + 0.15/12)^(12*4)

A ≈ $529.27

Therefore, Emma will owe approximately $529.27 in four years if she doesn't pay off her credit card until after college.

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Answer: 2304

Step-by-step explanation: 64 x 36 = 2304

Answer:

2,304 in.

Step-by-step explanation:

I attached a pic of my work.

Using the linear rate data provided and using simple unitary method, The answer is $150.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Total balance after 6 months = $750

Rate = $100 per month

Time = 6 months

Balance deposited at the rate in 6 months = 100 * 6

=$600

Initial Balance = $750 -  $600

=$150

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After considering the given data we conclude that the area of the region bounded by the graphs of y is 1.333 square units which is Option A.

To evaluate the area of the region bounded by the graphs of y = -x^2 + 2x + 3 and y = 3, we can apply the following steps:
Set the two equations equal to each other to evaluate the x-coordinates of the intersection points: \(x^2 + 2x + 3 = 3.\)
Applying simplification the equation: \(x^2 + 2x = 0\)
Applying steps to factor out x: \(x(-x + 2) = 0.\)
Evaluate for x: x = 0 or x = 2.
The area of the region bounded by the two graphs is given by the definite integral of the difference between the two equations with respect to x, from x = 0 to x = 2: \(\int_0^2[(3)-(-x^2+2x+3)]dx\)
Simplify the integrand:\(\int_0^2(2x-x^2)dx\)
Evaluate the integral: \(\int_0^2(2x-x^2)dx=\left[x^2-\frac{x^3}{3}\right]_0^2=4-\frac{8}{3}=\frac{4}{3}\)
Hence, the evaluated area of the region covered by the graphs of \(y = -x^2 + 2x + 3\) and y = 3 is approximately 1.333 square units.
Therefore, the answer is (a) 1.333.
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Answer: I have been to hell and back so ya I will face hell XD

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

The volume of a prism is the product of its dimensions.

The missing dimension of the prism is x - 4

The volume function is given as:

\(\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}\)

Let the missing dimension of the prism be y.

So, the volume is calculated using:

\(\mathbf{V(x) = y \times (x - 9) \times (x -1)}\)

Multiply the factors

\(\mathbf{V(x) = y \times ( x^2-9x-x + 9)}\)

\(\mathbf{V(x) = y \times ( x^2-10x + 9)}\)

Equate both expressions of volume

\(\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}\)

Make y the subject

\(\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}\)

Factor the numerator

\(\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}\)

Cancel out common factors

\(\mathbf{y = x - 4}\)

Hence, the missing dimension of the prism is x - 4

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Given that it regularly overstated the population minimum, sample minimum looks to be a biased estimator.

a measurement made using sample data that consistently underestimates or overestimates the real quantity in the target population. A biassed estimator, then, is one whose average value deviates from the value of the parameter it claims to represent. referred to as a skewed statistic.

When the anticipated value of the estimator equals the parameter value, the estimator is considered to be unbiased if its bias is equal to zero for all values of the parameter.

An estimate is considered biassed when it deviates from the genuine population value. When an estimator stays faithful to the population parameter, it is said to be unbiased.

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The complete question is as follows:

Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

Answer:

x= 11/12

Step-by-step explanation:

you have to make 1/3 equivalent to 7/12 so now you get 4/12+7/12= 11/12

After rationalization, (√3-√6)/(√3-√6) the expression becomes (4+√2)3.

The expression given for rationalizing is (√3-√6)/(√3-√6).

Rationalization means that we have to remove the root from the term in the denominator of the expression.

So, we will multiply and divide the denominator term in the expressions with the changes middle operator. This is how we do it,

= (√3-√6)/(√3-√6) x (√3-√6)/(√3+√6)

= (√3-√6)²/(√3-√6)(√3+√6)

= (√3-√6)²/(3+6)

= (3+9+2√18)/9

= (12+√18)/(9)

= (12+3√2)/9

= (4+√2)3

So, after we rationalize, the expression is  (4+√2)3.

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Answer:

Step-by-step explanation:

First you add 5 to -3 so that you get 2 is less than or equal to x.

x ≥ 2

Answer:

144

Step-by-step explanation:

write out the 18 and the 48 times tables until you find the smallest number that is in both times tables. and there's your number :)

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Answer:

Step-by-step explanation:

1 . )    54    =   9d

          54 / 9  =  9d  /  9

          d   =   6

2 . )     n   +    2    =    - 14   -   n

           2n    =     - 16

            n   =   - 8

The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

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From the information available, the initial population was 16,007. That figure was taken as at the year zero which is January 1, 2014.

This means

This trend would be used until we get to January 1, 2030, when we would calculate as follows;

Note that the years count from Jan 1 to Jan 1.

The function that models the yearly growth is;

Using the first year, 2014 which is year zero, the result would remain 16,007. That is;

For the 16th year, which is year 2030, we woud now have the following;

Rounded to the nearest whole number, this figure becomes;

ANSWER:

Answer:

Hope this helps :-) Answer in black and green (the typed one came out a little small)

Step-by-step explanation:

The smallest possible inside length of the cubical steel tank that can hold 600 L of water is approximately X meters. This calculation is based on the assumption that 1 liter of water occupies 1 cubic decimeter.

To determine the smallest possible inside length of the tank, we need to calculate the volume of the tank and then find the side length of the cube. Given that the tank needs to hold 600 L of water, we can convert this volume to cubic meters by dividing by 1000 (since 1 cubic meter is equal to 1000 liters). So, the volume of the tank in cubic meters is 600/1000 = 0.6 cubic meters.

Since the tank is cubic in shape, the volume can be calculated by raising the length of any side to the power of 3. Let's denote the side length of the cube as 's'. Therefore, we have the equation s^3 = 0.6.

Taking the cube root of both sides, we find s = ∛0.6. Evaluating this expression, we get s ≈ 0.824 m (rounded to three decimal places).

Therefore, the smallest possible inside length of the cubical steel tank that can hold 600 L of water is approximately 0.824 meters.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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The measures of x for the similar triangles are given as follows:7

11. x = 5.

12. x = 13.

13. x = 7.

14. x = 8.

For similar triangles, the equivalent side lengths are proportional, hence proportional equations are built to find the measures of x.

For item 11, the equation is given as follows:

44/55 = 48/(13x - 5)

4/5 = 48/(13x - 5)

Applying cross multiplication:

4(13x - 5) = 48 x 5

52x = 260

x = 260/52

x = 5.

For item 12, the equation is given as follows:

30/(5x - 11) = 65/117

65(5x - 11) = 30 x 117

325x = 4225

x = 4225/325

x = 13.

For item 13, the equation is given as follows:

65/169 = (7x + 1)/130

169(7x + 1) = 130 x 65

1183x = 8281

x = 8281/1183

x = 7.

For item 14, the equation is given as follows:

21/35 = (4x - 2)/50

3/5 = (4x - 2)/50

20x - 10 = 150

20x = 160

x = 160/20

x = 8.

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Answer:

x>-2

Step-by-step explanation:

x-4x<5x+16

Subtract 5x from both sides:

x-4x-5x<16

Combine like terms:

-8x<16

Divide both sides by 8:

-x<2

Divide both sides by -1:

x>-2

Hope this helps!

Answer:

i DONT KNOW THIS BECAUSE I HAVEN'T GONE OVER THIS IN SCHOOL

Step-by-step explanation: