At a sale this week, a table is being sold for $119. This is a 65% discount from the original price.
What is the original price?

The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.

To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:

Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]

In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].

Substituting these values:

Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]

Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]

Distance = [tex]\(\sqrt{81 + 1}\)[/tex]

Distance = [tex]\(\sqrt{82}\)[/tex]

Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:

[tex]\(\sqrt{82} \approx 9.1\)[/tex]

So, the correct response is 9.1.

Learn more about distance here:

https://brainly.com/question/32846365

#SPJ3

Answer:

4 better inbox

Step-by-step explanation:

Answer:

$0.46

Step-by-step explanation:

6 apples = $2.82

1 apple = 2.82 / 6

= $0.46

Answer:

15.625

Step-by-step explanation:

Answer:

[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]

Answer:

  (a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

__

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

Answer:

  A. C(F) = 5/9F -(17 7/9)

  B. slope: 5/9

  C. y-intercept: -17 7/9

Step-by-step explanation:

The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...

  (F, C) = (32, 0) and (212, 100)

The slope can be found from the slope formula:

  m = (y2 -y1) / (x2 -x1)

  m = (100 -0)/(212 -32) = 100/180 = 5/9

The y-intercept can be found from the slope-intercept equation for a line:

  y = mx +b

  b = y -mx

Using the first point, we have ...

  b = 0 -(5/9)(32) = -160/9 = -17 7/9

Using the found values for m and b, the slope-intercept equation can be written ...

  C(F) = 5/9F -(17 7/9)

__

The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.

__

The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.

Answer:

33333

Step-by-step explanation:

Answer:

w = 10

Step-by-step explanation:

[tex]\frac{4}{5}w=8~(Given)\\\\\frac{5}{4}(\frac{4}{5}w)=\frac{5}{4}(8)~(Multiply~5/4~on~both~sides)\\\\w=10~(Simplify)[/tex]

Answer:7 1/5

Step-by-step explanation:

-4/5 on each side

'and you get w= 7 1/5

Answer:

The answer is 10.

Step-by-step explanation:

I'm certain this is correct. :D

Problem 14, Part (a)

The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.

Let's find the point slope form of the parallel line through (-4,1)

[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]

Now solve for y to get the slope intercept form.

[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]

============================================================

Problem 14, Part (b)

The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.

Using the same point (-4,1), we find that the point slope form is...

[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]

Now solve for y

[tex]y-1 = -\frac{1}{2}(x+4)\\\\y = -\frac{1}{2}(x+4)+1\\\\y = -\frac{1}{2}x-2+1\\\\y = -\frac{1}{2}x-1\\\\[/tex]

============================================================

Problem 15, Part (a)

Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.

We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D

5x+2y = D

D = 5x+2y

D = 5(0)+2(10)

D = 20

The equation 5x+2y = D updates to 5x+2y = 20

============================================================

Problem 15, Part (b)

If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.

The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.

2x-5y = D

D = 2x-5y

D = 2(0)-5(10)

D = -50

Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

Answer:

C would be the answer

Hope this helps!

Answer:

x

Step-by-step explanation:

It still would be a negative.

The comparison that Tina wrote incorrectly is X. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The table is given below.

Comparison         Number          Opposite value

       W                      -3                       3

       X                      -(-9)                    9

       Y                        0                      0

       Z                        4                    - 4

The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer: 324 different outcomes

Step-by-step explanation: Multiply all of the possibilities together to get the total amount of outcomes. 6 * 6 * 9 = 324

Would appreciate a brainly <3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The third side of the Triangle should be greater than the difference of other two sides, so

And, The third side should be less than the sum of other two sides that is ~

Considering these two inequalities, we get ~

Answer:

1 11/12 cups of water

4) d

let's firstly convert the mixed fractions to improper fractions, and then proceed

[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]

[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]

5)

hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]

Answer:    X (3/2,0)   Y (0,-2)

Step-by-step explanation:

Answer:

x = 2.83163

Step-by-step explanation:

Have a nice day!

and if you have questions on how I found it please ask.

Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode

Outliers are usually large or very low values, and they always affect the mean of the dataset.

Also, they affect the range of the dataset.

The standard deviation is dependent on the mean of the dataset.

This means that, outliers would also have effects on the standard deviation.

However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.

Hence, the true options are mode and median

Read more about outliers at:

https://brainly.com/question/23461655

Answer:

b

Step-by-step explanation:

Answer:

what it says iiiiiiii888i888iiiii

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

Answer:

A factor is one of the constants or variables that is multiplied with another factor to produce a term. The term 4x has factors 4 and x. To factor means to separate what is being multiplied. So factoring “takes apart” the product of multiplying.

Using simple interest, it is found that:

a) The monthly payment will be of $222.57.

b) In total, the car will cost $18,251.9275.

c) $16,025.1775 will be paid in interest.

The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:

[tex]A(t) = P(1 + rt)[/tex]

In this problem:

Item a:

The amount of money accrued will be of:

[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]

Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:

[tex]m = \frac{16025.1775}{72} = 222.57[/tex]

The monthly payment will be of $222.57.

Item b:

The total cost is composed by:

Hence:

[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]

In total, the car will cost $18,251.9275.

Item c:

As found in item a, $16,025.1775 will be paid in interest.

A similar problem is given at https://brainly.com/question/13176347