A used car dealership reduced the price of a used compact car by 10%. If the price of the car before
discount was $18,500, find the discount and the new price.
The discount in price is $
Hint: Discount = Original Price x Percentage

The measures of the angles are:

m<7 = 47°

m<8 = 62°

m<1 = 62°

m<2 = 71° [vertical angles theorem]

m<5 = 109°

m<3 = 109°

m<4 = 35°

m<6 = 29°

The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.

Measure of angle 7 = 47° [based on the alternate interior angles theorem]

Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]

Measure of angle 8 = 62°

Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]

Measure of angle 1 = 62°

Measure of angle 2 = 71° [vertical angles theorem]

Measure of angle 5 = 180 - 71 [linear angle theorem]

Measure of angle 5 = 109°

Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]

Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]

Measure of angle 4 = 180 - 109 - 36

Measure of angle 4 = 35°

Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]

Measure of angle 6 = 180 - 109 - 42

Measure of angle 6 = 29°

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The equation containing the point  (9,12) is y = 4/3x.

So, perpendicular = m1 × m2 = -1:

Now,

Therefore, the equation containing the point  (9,12) is y = 4/3x.

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The correct question is given below:
Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).

The amount spent on pants based on the information illustrated is 45 soles.

Let the amount spent of shirt = x

Amount spent on sweaters = 2x

Amount spent on pants = 3x

Amount spent = 90

Therefore, the value will be:

x + 2x + 3x = 90

6x = 90

Divide

x = 90/6

x = 15

Therefore, the amount spent on pants will be:

= 3x

= 3 × $15

= 45 soles.

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The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

We are given the universal set as:

U = {2, 4, 6, 8, 10, 12, 14, 16}

We are also given that set A is:

A = {6, 10, 14}

We need to find A'

For this, we will subtract set A from the universal set, U.

So, we get that:

A' = U - A

A' = {2, 4, 6, 8, 10, 12, 14, 16} - {6, 10, 14}

Solving the expression, we get that:

A' = {2, 4, 8, 12, 16}

Therefore, we get that, the compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

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According to the solving the beginning value of retained earnings:

= $1,60,000.

Retained earnings are usually included in the shareholders' equity portion of a company's balance sheet. Retained earnings are computed by adding beginning-period retained earnings to net income (or loss), then deducting dividend distributions.

To calculate retained earnings, subtract a company's liabilities from its assets to obtain stockholder equity, then locate the common stock line item on your balance sheet and multiply the total stockholder equity by the common stock financial statement figure (if the only two items in your stockholder equity were also common stock).

Retained earnings, ending = $240,000.

Net income = $110,000.

Preferred stock dividend = $30,000.

Retained earning, beginning = ?

Retained earnings, ending = Retained earning, beginning + Net income - Preferred stock dividend

$240,000 = Retained earning, beginning + 110,000 - 30,000

Retained earning, beginning = 1,60,000

According to the solving the beginning value of retained earnings:

= $1,60,000.

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The finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.

The finance charge is the cost of credit in dollars. It is calculated on a credit card's unpaid balance. A finance charge, the cost of having the debt a longer time, is added to the outstanding credit card balance.

Given:

Average daily balance: $118.18,

monthly interest rate: 1.15%

According to given question we have

A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 .

i.e

[tex]\frac{118.18*1.15*30}{365} \\=11.170[/tex]

Therefore, the finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.

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The rate of change in elevation will be:

R = -225m/10s = -22.5 m/s

The airplaen descends at a rate of 22.5 meters per second.

The rate in change of the elevation will be given by the quotient between the change in elevation and the time in which that change happens.

Here we know that the airplane descended 225 meters, so the change in elevation is:

C = -225m

And that change happens in 10 seconds, so the rate of change in elevation will be:

R = -225m/10s = -22.5 m/s

The airplane descends at a rate of 22.5 meters per second.

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Answer:

your right

Step-by-step explanation:

the answer is k and l thats right pls mark brainliest

or hit the thanks button!!!!!!!

pls and thank you!

The expression is simplified to x - 147

Algebraic expressions are defined expressions made up of terms, factors, variables, constants , coefficients.

They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

Given the expressions;

−3 (5x + 1) + 16(x − 9)

First, we have to expand the bracket

-15x -3 + 16x - 144

collect like terms, we have;

-15x + 16x - 144 - 3

Add or subtract like terms as seen in the expression

x - 147

Note that the expression is simplified to x - 147

Thus, the expression is simplified to x - 147

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A possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).  

In this question we have four points that are collinear, that is, that lie on the same line. Mathematically, speaking we have the following equations representing the geometric system:

BC = 14 + x             (1)

AD = 42 + x           (2)

AC = x + 32           (3)        

By (1) and (3):

AB = (x + 32) - (14 + x)

AB = 18

By (2) and (3):

CD = (42 + x) - (x + 32)

CD = 10

If x = 0, then BC, AD and AC are, respectively:

BC = 14, AD = 42, AC = 32

Then, a possible solution for this case of collinear points is (x, AB, BC, CD, AC, AD) = (0, 18, 14, 10, 32, 42).  

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Answer:

233.1 or if you round just 233

Step-by-step explanation:

brianlist?

Answer:

233.1 but it would be 233 or 230 rounded

Step-by-step explanation:

a) right - 1 unit; up - 3 units; angle between branches is decreased. All the details are in the attachment;

b) the required graph is in the attachment.

Answer: -31

Step-by-step explanation:

a = 3 and c = -4.

-a+7c = -3+(7*-4) = -31

Answer:

- 3 + 7(- 4)

- 3 + - 28

= - 31

Hope this helps :)

Some consequences of solar flares on Earth are: radio blackouts, intense auroras, damage to communication satellites, among others.

A solar flare is a term that refers to a sudden and intense release of electromagnetic radiation in the Sun's Chromosphere. In general, what happens in a solar flare is that the plasma is heated to tens of millions of degrees kelvin; this accelerates electrons, protons, which in turn produces electromagnetic radiation in all wavelengths of the electromagnetic spectrum.

Strong solar flares can cause different manifestations on Earth such as:

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Step-by-step explanation:

we have no continuous curve here, the supposed function only consists of a few data pair points. and that is absolutely ok.

any function just maps a set of x (input) values to a set of y (function result) values.

A.

yes, it is a function, because every "used" x value has exactly 1 assigned y value.

when we draw a vertical line and move it across the grid, there are never 2 or more of the points in the line. always only one.

the opposite (every y value has exactly 1 x value as origin) is NOT necessary to be a function. but it would have to be true for the inverse function to be a function too.

B.

the domain is the interval or set of all valid x values.

since we have only single points, it is a set here :

{-4, -3, -2, 0, 2, 3}

C.

the range is the interval or set of all valid y values :

{-3, -1, 0, 2, 3}

D.

as we can see on the chart, the only point with x value = 2 has the y value = -3.

so,

y = -3 when x = 2

or formally

f(2) = -3

In the counting of numbers from 2 to 99, the digit 9 appears 20 times.

To identify how many times the digit 9 appears, we can first list the numbers we know have a 9 in them:

9, 19, 29, 39, 49, 59, 69, 79, 89, 99

Although we've identified these numbers, we are not finished. Numbers in the 90s also qualify as digits of 9. Therefore, these numbers also are included:

91, 92, 93, 94, 95, 96, 97, 98

Now that we have all the numbers from 1 to 99 with the digit 9 in them, we can count up how many numbers there are with consideration that the number 99 also has two digits of 9 in it:

[(10 + 8) + 2] = 20

Hence, the digit 9 appears 20 times in the counting numbers from 1 to 99.

Answer:

There are 20 times the digit 9 appears in counting numbers from 1 to 99.

Step-by-step explanation:

To see why this is the case, we can break the counting numbers down into two categories: numbers with a 9 in the units place and numbers without a 9 in the units place.

For the first category, we can count the number of times a 9 appears in the units place by counting from 9 to 99 in increments of 10. There are 10 numbers in this category.

For the second category, we can count the number of times a 9 appears in the tens place by counting from 19 to 99 in increments of 100. There are 10 numbers in this category as well.

Therefore, the total number of times the digit 9 appears in counting numbers from 1 to 99 is 20 times.

The inches below average was the precipitation for both March and April is 6 1/4 inches

From the information given, the precipitation for the month of March was 4 3/4 inches less than average. In April, the precipitation was 1 1/2 inches less than average.

Therefore, the inches below average will be:

= 4 3/4 + 1 1/2

= 4 3/4 + 1 2/4

= 6 1/4

The inches is 6 1/4 inches.

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The translated vertices of the rhombus are: K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7)

The rhombus is a parallelogram which has all sides equal. the diagonals of a rhombus bisect at right angles. the difference between a rhombus and a square is that none of the angles of a rhombus are 90°.

To translate a figure with given co-ordinates into another figure with a particular translation we simply add or subtract the given values from the coordinates of the available points.

Given co-ordinates of Rhombus are K(-3, 2),L(1, 4),M(-1 ,0)and N(-5, -2).

The translation is given as (x,y) → (x+2, y-5)

So we calculate the coordinates as:

The translated co-ordinate  K(-3, 2)→ K'(-1,-3)

The translated co-ordinate  L(1, 4)→  L'(3,-1)

The translated co-ordinate  M(-1 ,0)→ M'(1,-5)

The translated co-ordinate N(-5, -2)→ N'(-3,-7)

Hence the co-ordinates of rhombus translated by  (x,y) → (x+2, y-5) are  K(-1,-3), L(3,-1), M(1,-5) and N(-3,-7).

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The equation of the plane that goes through these points is:

6x + 2y + z = 10.

The equation of the plane is found replacing the points into the following equation:

ax + by + c = z.

For point A, we have that:

3b + c = 4.

For point B, we have that:

a + 2b + c = 0.

For point C, we have that:

-a + 6b + c = 4.

Hence the system is:

From the first equation, we have that:

c = 4 - 3b.

Replacing in the second, we have that:

a + 2b + 4 - 3b = 0

a - b = -4.

Replacing in the third, we have that:

-a + 6b + 4 - 3b = 4.

-a + 3b = 0.

a = 3b.

We have that a - b = -4, hence:

3b - b = -4

2b = -4

b = -2.

a = 3b, hence a = -6.

c = 4 - 3b -> c = 10.

Hence the equation is:

ax + by + c = z.

z = -6x - 2y + 10

6x + 2y + z = 10.

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The possible graph for two points have the same y-coordinate but opposite x-coordinates is shown below.

In a general point (x,y) , the value x represents the distance from origin to point along x - axis,

and

the value y represents the distance from origin to point along y axis.

It is given in the question that

There are two points in which the y coordinate of both the points is same

the x coordinate is of opposite signs.

Let us take an Example  

let the points be A(a,b) and B(c,d)

According to the question

b = d and -a = c

So the points will become (a,b) and (-a,b)

For Example ;

let a=2, b=3

the two points will become (2,3) and (-2,3).

Therefore , the possible graph of these points is shown below .

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Hello!

[tex]\frac{14c}{12c}[/tex] simplified to lowest terms is [tex]\frac{7c}{6c}[/tex]

Step-by-step explanation:

Other simplified versions of the expression is [tex]\frac{7}{6}[/tex], [tex]1.16[/tex], 1 [tex]\frac{1}{6}[/tex]

Hope this helps!

The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.

It follows from the task content that the number of cans of paint that would be required to paint one room according to the task content be determined.

Hence, since it takes 4 cans of paint to paint 1/3 of a room.

Hence, since there are 3 One-thirds in a whole, it follows from proportion that the number of cans of paints required is;

= 3 × 4 cans of paint

= 12 cans of paint.

The number of cans of paint which it would take to paint one given the premise that; it takes 4 cans of paint to paint 1/3 of a room is; 12 cans of paint.

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Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0

Displacement is defined as the shortest distance travelled by the object.

According to the question we have been given that the honeybee travelled 2km before returning to the hive.

Thus the total distance travelled by the honeybee is = 2 + 2 km

                                                                                             = 4 km

And the honeybee’s displacement = 0

Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.

Hence total distance = 4km

And displacement = 0

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The value of the given algebraic expression 6x(y²z)  is (D) 6.

So, substitute the values of x, y, and z in the given expression:

6x(y²z)

When x = 0.5, y = -1 and z = 2

Therefore, the value of the given algebraic expression is (D) 6.

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The complete question is given below:
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y²z)

A. -12

B. -6

C. 1

D. 6

Answer:

b

Step-by-step explanation:

state 3 fractors other than $/ hours

The land area of North America is 9,455,941.77 square miles.

Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %.

In order to determine the land area of North America, multiply the total land area of the Earth by the percentage of the land area of North America.

Land area of North America = percentage of the land area of North America x total land area

16.5% x  57,308,738

0.165 x 57,308,738 = 9,455,941.77 square miles

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Answer:

x = 4

Step-by-step explanation:

Perimeter of triangle: P = (5x -1) + (5x -1) + (2.2x + 10)

Perimeter of square: P = 4(6.5x - 11.8)

so (5x -1) + (5x -1) + (2.2x + 10) = 4(6.5x - 11.8)

5x - 1 + 5x - 1 + 2.2x + 10 = 26x - 47.2

12.2x + 8 = 26x - 47.2

26x - 12.2x = 8 + 47.2

13.8x = 55.2

x = 55.2/13.8 = 4

14

Step-by-step explanation:

4pq² + (-7)pq² +5p

Evaluate for p=7,q=1

(4)(7)(1²)+((−7)(7))(1²)+(5)(7)

(4)(7)(1²)+((−7)(7))(1²)+(5)(7)

=14