A clothing store marked all of their summer clothing down 50%. A sign in the store indicates that an additional 20% is to be taken off the clearance prices. What is the final price of a top that originally sold for $58?​

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

Para aprender más sobre sistemas de ecuaciones lineales: https://brainly.com/question/27891414

#SPJ1

Answer:

\(\frac{13}{145}\)

Answer:

Area = 7 7/18 or 39/2 square units

Step-by-step explanation:

To find the area of a rectangle, you need to multiply its length by its width.

Given:

Length = 1 5/6

Width = 4 1/3

Convert mixed numbers to improper fractions:

Length = (6 + 5) / 6 = 11/6

Width = (3 x 4 + 1) / 3 = 13/3

Area = Length x Width

Area = (11/6) x (13/3)

Area = (143/18)

Simplify the result to mixed number or improper fraction:

Area = 7 7/18 or 39/2 square units (if we want the answer in fraction form)

9514 1404 393

Answer:

  C. Division: (x^2-5x+3)÷(x-2)=x-3+-3/x-2

Step-by-step explanation:

The set of polynomials is closed under all basic arithmetic operations except division. The reciprocal of a (non-constant) polynomial is not a polynomial.

The division example shown in choice C illustrates the set is not closed under division.

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

A polynomial function of least degree with integral coefficients that has the

given zeros  \(f(x)=x^4+x^3+9x^2+9x\)

Given

Given zeros are 3i, -1  and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

\(\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)\)

Now we multiply it to get the polynomial

\(x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x\)

polynomial function of least degree with integral coefficients that has the

given zeros  \(f(x)=x^4+x^3+9x^2+9x\)

Learn more : brainly.com/question/7619478

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

For similar question on total interest.

https://brainly.com/question/29415701  

#SPJ8

Answer:

So the value of b is 7

Step-by-step explanation:

We can use the formula for the slope of a line given two points:

slope = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the two points on the line. We can plug in the given points (-2, B) and (B, 5) to get:

-2/9 = (5 - B)/(B - (-2)) = (5 - B)/(B + 2)

Multiplying both sides by (B + 2), we get:

-2(B + 2) = 9(5 - B)

Expanding and simplifying, we get:

-2B - 4 = 45 - 9B

7B = 49

B = 7

Answer:

t = 21

Step-by-step explanation:

The ball strikes the groujd when h = 0.

\(-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21\)

Since time must be positive, t = 21.

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

Learn more about system equations here: https://brainly.com/question/13729904

#SPJ1

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

for more such questions on sampling method

https://brainly.com/question/13219833

#SPJ8

It is a rectangle, TUVW. A parallelogram has diagonals that are perpendicular and angles that are all 90 degrees.

No, a parallelogram is not always a rectangle. In a rectangle, all angles must be equal to 90°. But for a parallelogram, no angles need to be equal to 90°. In a rectangle the diagonals are equal but in a parallelogram, diagonals are not equal.

Parallelogram has opposite sides equal and parallel. Rectangle also has opposite sides equal and parallel. The difference between the two is that sides of rectangles form 90 degree while that of parallelogram don't.

A square is a parallelogram. This is always true. Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides.

It is a rectangle, TUVW. A parallelogram has diagonals that are perpendicular and angles that are all 90 degrees.

To learn more about rectangle refer to:

https://brainly.com/question/25292087

#SPJ1

Answer:

x = 5

Step-by-step explanation:

distribute

add constants

add the variables

divide

x = 5

i dont feel like explaining since its alot but thats the simplest way to go

Answer:

25/3 which also equals to 8.3333333

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−8(x−5)=−3x−7+x−3

(−8)(x)+(−8)(−5)=−3x+−7+x+−3(Distribute)

−8x+40=−3x+−7+x+−3

−8x+40=(−3x+x)+(−7+−3)(Combine Like Terms)

−8x+40=−2x+−10

−8x+40=−2x−10

Step 2: Add 2x to both sides.

−8x+40+2x=−2x−10+2x

−6x+40=−10

Step 3: Subtract 40 from both sides.

−6x+40−40=−10−40

−6x=−50

Step 4: Divide both sides by -6.

−6x−6

=

−50−6

x=

25/3

Hoped I helped -

Sleepy~

Answer:

Step-by-step explanation:

a, e, f

Answer:

There are 32 apples in the bag.

Step-by-step explanation:

To find the number of apples in the bag, we can use the formula:

number of apples = total mass of apples / average mass of each apple

Given that the bag of apples has a mass of 4 kg, and the average mass of each apple is 1/8 kg, we can substitute these values into the formula to get:

number of apples = 4 kg / (1/8) kg/apple

Simplifying the right-hand side by dividing 4 kg by (1/8) kg/apple, we get:

number of apples = 4 kg * 8/apple = 32 apples

Therefore, there are 32 apples in the bag.

Answer:

Step-by-step explanation:

It is simple by averaging formula as follows
Total mass/average mass = Total apples
4/(1/8)= 32 Apples

Answer:

13

Step-by-step explanation:

substitute the five into the equation. :)

Step-by-step explanation:

Just till the number 9 upside down to make it 6 then

6+11+13=30

The sum of three odd numbers can never be even. so I did it in that way.

I HOPE THIS WILL HELP U

STAY SAFE, STAY HAPPY

Sales tax is a percentage of the sale price of an item that is then added on to the total price of the item.

Example:

let's say you are buying an item priced at $10.00 and the sales tax rate is 6%. Sales tax rates can vary from state to state and even within counties or cities.

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

Read more on slope here: https://brainly.com/question/18028474

#SPJ1

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

MARK AS BRAINLIEST!!!

a)

5= log10 (100000)

We can rewrite 10000 as 10^5

5 = log 10 ( 10 ^5)

b) 2^6 = 64

log a ( b) = c

log2 ( 64) = 6

We know this because we can rewrite 64 as 2^6

log a ( a^b) = b

log a ( 2^6) = 6

Answer:

  all unit costs are $24.50 per cubic yard

Step-by-step explanation:

A "unit" is one of something. A "unit cost" is the cost of one of something. Sometimes, you are told what a unit is; sometimes you have to figure out a reasonable unit.

Here, we have cost in dollars and material volume in units of cubic yards. It is reasonable to assume the unit of interest is 1 cubic yard.

It should not be a mystery that the cost of 1 cubic yard will be 1/8 the cost of 8 cubic yards. That is, you find the unit cost by dividing the cost by the number of units:

  A.  ($196)/(8 yd³) = $24.50/yd³

  B.  ($490)/(20 yd³) = $24.50/yd³

  C.  ($637)/(26 yd³) = $24.50/yd³

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Using trigonometry functions:

The pattern consists of adding a new square on the right, and then adding a new square below previous squares.

answer:

the y-intercept is 15 which is the initial total depth of the snow at t=0 hours.

The rate of melting is 1.5inches per hour. It will take 10 hours at the melting rate given of 1.5 to melt all the snow.

Step-by-step explanation:

the y-intercept is 15, and it might mean that the total depth of the snow is 15 inches.

The rate of melting is 1.5inches per hour.

At time = 0, S=15 - 1.5t = 15 - 1.5(0) = 15 inches to start

At time = 10, S=15 - 1.5t = 15 - 1.5(10) = 0 inches; meaning all snow has melted and it took 10 hours.

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

learn more about angle on parallel lines from

https://brainly.com/question/24607467

#SPJ1

Answer:

b.

Step-by-step explanation:

The inequality says that x is bigger than 5. The number line shows the arrow starting from 5 and going bigger. Therefore, that number line is correct.

Answer:

x=6

Step-by-step explanation:

The first thing you should start with is distributing the 6 inside the parentheses, which would give us (12x - 66) + 15 = 21. Now we can add like terms on this side of the equation to get: 12x -51 = 21. Add the 51 to the right side to get 12x = 72, then divide both sides by 12 to get x = 72/12 or 6.

x=6

Hope this helps!

Marking this brainliest also helps me out too :)