Arianna went shopping for a new video game because of a sale. The price on the tag was $32, but Arianna paid $20.80 before tax. Find the percent discount.

Answer:

-8

Step-by-step explanation:

Solving for r means that we need to isolate r from the expression.

\( \frac{ - 8}{r + 6} = 4\)

Multiply both sides by (r +6) to 'get rid' of the fraction:

-8= 4(r +6)

Expand:

-8= 4r +4(6)

-8= 4r +24

Minus 24 on both sides:

4r= -8 -24

4r= -32

Divide both sides by 4:

r= -32 ÷4

r= -8

Additional:

For a similar question on solving for a variable:

Answer:

r = -8

Step-by-step explanation:

-8/(r + 6) = 4
          -8 = 4(r + 6)
          -8 = 4r + 24
        -32 = 4r
          -8 = r

Answer:

$360

Step-by-step explanation:

12 months in a year

12 x 30 = 360

$360

Answer:

The total withdrawal is $360 dollars

Step-by-step explanation:

12 months in a year

30 * 12 = 360

$360

The solution to the indicated operation will be 9 and 2/3.

We have to find the sum of 2 and 1/6 and 7 and 3/6.

We can write the mixed fractions as:-

2 and 1/6 = 13/6

7 and 3/6 = 45/6

Adding the improper fractions, we get,

(13+45)/6 = 58/6 = 29/3

We can this improper fraction write it as :-

9 and 2/3

Mixed fraction

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

2 and (1/7), where 2 is a whole number and 1/7 is a fraction.

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Step-by-step explanation:

To find the equation of the parabola with focus (-3,2) and directrix x-y+1=0, we can use the definition of a parabola: the set of all points that are equidistant to the focus and directrix.

Let P(x, y) be an arbitrary point on the parabola, and let d(P, directrix) be the distance from P to the directrix. The distance from P to the focus is given by the distance formula:

d(P, focus) = √[(x - (-3))^2 + (y - 2)^2] = √[(x + 3)^2 + (y - 2)^2]

Since P is equidistant from the focus and directrix, we have:

d(P, directrix) = |x - y + 1| / √(1^2 + (-1)^2) = |x - y + 1| / √2

Therefore, the equation of the parabola is given by:

d(P, focus) = d(P, directrix)

√[(x + 3)^2 + (y - 2)^2] = |x - y + 1| / √2

Squaring both sides and simplifying, we get:

(x + 3)^2 + (y - 2)^2 = (x - y + 1)^2 / 2

Expanding the right-hand side and simplifying, we get:

2(x + 3)^2 + 2(y - 2)^2 = (x - y + 1)^2

Expanding the right-hand side again and simplifying, we get:

2x^2 + 8xy + 2y^2 - 8x - 12y + 20 = 0

Therefore, the equation of the parabola is:

2x^2 + 8xy + 2y^2 - 8x - 12y + 20 = 0

which is in general form.

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

3.5 or 3 1/2

Step-by-step explanation:

1,800-1,450=350

She has 350 calories left to consume 1,800 in total.

There are 3.5 100 calories in 300.

The awnser will be 3.5 or 3 1/2.

She can have 3 1/2 of ice cream.

Hope this helped and you understood :) :)

Answer:

3.5[3 1/2]

Step-by-step explanation:

100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100

The numbers which have only two factors either 1 and the number itself are called prime numbers.

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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The probability it rains is: p(x) = 20/100 = 0.2

The probability the bus is late is = 8/100 = 0.08

The probability that it rains and the bus is late is = 0.03

The probability the train is late is: p(y)= 0.05

The probability that it rains and the train is late is = 0.01

This is an independent probability

And the formula for expressing two independent events is given below.

Answer:

The amount of weeks is your independent variable, or X variable, and the height is you dependents variable.

Step-by-step explanation:

I don't know what this question is about so I'm gonna use plants as an example. The amounts of weeks that you are growing a plant is not dependent on anything. Nothing can cause change to that variable, so it would be your X. The height that your plant has grown DOES depend on how long you've grown it, so the amount of weeks, making it your Y variable.

Answer:

50ㅠ

Step-by-step explanation:

10 is the radius

area= pi x r^2

ㅠ x10x10/2

100ㅠ /2

50ㅠ

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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Answer:

r>5

Step-by-step explanation:

Answer:

Option (3)

Step-by-step explanation:

Properties of the equal matrices,

1). Every element of the one matrix are equal to the elements of other.

2). Both the matrices have same dimensions.

If,  \(\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}\)

\(x+3=5\)

\(x=2\)

\(y+4=0\)

\(y=-4\)

\(x=-5\)

Therefore, Option (3) will be the correct option.

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Step-by-step explanation:

The radius of the orbit is r = 1150 km + 6400 km = 7550 km or

\(r = 7.55×10^6\:\text{m}\)

and it takes 140 minutes to complete 1 revolution. This is the same aa

\(140\:\text{min}×\dfrac{60\:\text{s}}{1\:\text{min}} = 8400\:\text{s}\)

The linear speed of the satellite then is simply equal to the orbital circumference divided by the orbital period T or

\(v = \dfrac{2\pi r}{T}\)

\(\:\;\:\:=\dfrac{2\pi(7.55×10^6\:\text{m})}{8.4×10^3\:\text{s}}\)

\(\:\:\:\:=5647.4\:\text{m/s}\)

In km/min, this is

\(v = \dfrac{2\pi(7550\:\text{km})}{140\:\text{min}} = 338.8\:\text{km/min}\)

The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer:

256

Step-by-step explanation:

How to find subsets = 2 raise the power n.

N=number of elements in a set.

=2raise the power 8 which is 256.

Answer:

Step-by-step explanation:

i think its 5/144=0.03472

Answer:

The answer is  0

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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Answer:

6because 8 x 6 = 48

Step-by-step explanation:

Answer:

the answer is 6 because 6x8=48 hope it helps :)

brainiest pls

Step-by-step explanation:

Answer: Evaluate

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following simplified expressions:

4√3, 3 3√2, 2 3√3, 3√5

It's radical equivalent is :

4√3 = √4² * √3 = √16 * √3 = √16*3 = √48

3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18

2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27

3√5 = √3² * √5 = √9 * √5 = √9*5 = √45

Answer:

answer attached

Step-by-step explanation:

hope this helps!

Answer:

50 adult tickets were sold that day.

Step-by-step explanation:

We will use "c" to represent child ticket and "a" to represent adult ticket

Using these info, we can make a system of equations:

\(\left \{ {{9.2a + 5.3c = 836.3} \atop {a + c = 121}} \right.\)

Solve the system of equations using substitution.

a + c = 121

c = 121 - a

9.2a + 5.3 (121 -a) = 836.3

9.2a + 641.3 - 5.3a = 836.3

3.9a = 195

a = 50

50 adult tickets were sold that day.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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If a bus company usually transports 12 000 people per day at a ticket price of $1. The ticket price that will maximize revenue is $2 per ticket.

Equation to find the ticket price is:

y = (12000 - 400x)(1 + .1x)

Take the derivative of the function by product rule

y' = (12000 - 400x)(.1) + (-400)(1 + .1x)

y' = 1200 - 40x - 400 - 40x

y' = 800 - 80x

Let y' = 0

0 = 800 - 80x

Solving for x

80x = 800

Divide both side by 80x

x = 800/80

x = 10

Point at x = 10

Substitute x with 10 for 1 + .1x

1 + .1(10)

= 1 + 1

= $2 per ticket

Therefore the ticket price is  $2 per ticket.

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