A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price. The salesperson received a commission of 25% of the difference between auction price and the dealership price. What was the sales person’s commission?

Answer

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

Step by step

[tex]y = \frac{2x}{5} + 2[/tex]

Swap roles of x and y

[tex]x = \frac{2}{5} y + 2[/tex]

Then

[tex]5x = 2y + 10[/tex]

So

[tex]2y = 5x - 10[/tex]

Hence

[tex]y = \frac{5}{2} x - 5[/tex]

Therefore

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

Answer:

I left out a few so you can do 1 or 2! :D

Step-by-step explanation:

3: 1/2 hour + 1/4 hour= 3/4 hour on computer

5: 1/5 more of the money

6: 8/5      9/4

7: a:6 5/9  b: 3 9/10  c: 4/5  d: 4 5/8

8 They have the same denominator

10: a: 5/12  b: 6 times more c: How much of the day does he spend sleeping or schooling

Give Brainiest answer to me. It helps! :D

Answers:

4.)  

a)

i) 3/8 - 1/4 = 3/8 - 2/8 = 1/8

ii) 4/5 - 3/4 = 16/20 - 15/20 = 1/20

b)

9.) It's less than 1 and the tops are smaller then the bottem

The value of 'f' when 'g' is 16 is 24.

If 'f' is inversely proportional to square root of 'g', it can be expressed thus;

f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]

Then

f * [tex]\sqrt{g}[/tex] = constant

f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂

If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,

f₂  = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4

Substitute into formula

12 * 8 = f₂ * 4

Make 'f₂' subject

f₂ = 96 ÷ 4

f₂ = 24

Therefore, the value of 'f' when 'g' is 16 is 24.

Learn more about indirect variations:

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Answer:

The area of rectangle is 8 x ² y ².

Step-by-step explanation:

➛ Area of rectangle

➛ Area of rectangle = Length × Breadth

Firstly we need to find Breadth of rectangle

Using Formula

Area of rectangle = Length × Breadth

Where

Length of rectangle = 2xy

Breadth of rectangle = 2 × 2xy = 4 xy

Substituting the values into the Formula

Area of rectangle = 2 xy × 4 xy

multiply, we get

Area of rectangle = 8 x² y²

Therefore, Area of rectangle is 8 x ² y ².

Given :-

To Find :-

Solution :

Let ,

→ y = f(x)

So that ,

→ y = 4x - 10/ x -2

→ 0 = 4x - 10/x - 2

→ 4x - 10 = 0

→ 4x = 10

→ x = 10/4

→ x = 5/2

→ x = 2.5

→ y = 4*0 - 10 / 0 -2

→ y = -10/-2

→ y = 5

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

[tex]0 \leqslant x \leqslant 3[/tex]

20x,

[tex]3 < x \leqslant 6[/tex]

10x,

[tex]x > 6[/tex]

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

Answer:

x = -2 ±√(13/2)

Step-by-step explanation:

Answer:

with?

Step-by-step explanation:

Answer:

90 counterclockwise or 270 clockwise

Step-by-step explanation:

just trust me bro lolskies

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

Explanation:

Through some strange formatting error, the tickmarks are not in the proper locations. They should be to the right and slightly above the letter. They should be close by, and not far away like that.  

It looks like the purple figure is the image while the blue figure is the preimage. If that's the case, then we've applied a 90 degree counterclockwise rotation to go from blue to purple.

Notice how angle AQA' is 90 degrees as shown by the green segments in the diagram below. So are BQB' and CQC' and DQD' as well.

We could also rotate the blue figure 270 degrees clockwise to arrive at the same purple image. Note how 90+270 = 360 which is a full circle.

Answer:

101 + 102 + 103 + ... + 998 + 999 + 1000

Step-by-step explanation:

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

Explanation:

This series is arithmetic since the common difference is 1. In other words, we're adding 1 to each term to get the next one.

The quickest way to find the sum is to use the formula below

S = (n/2)*(a+b)

where n is the number of terms, 'a' is the first term, and b is the last (or nth) term. This formula only works for arithmetic series.

We can see that n = 100, a = 1 and b = 100, so....

S = (n/2)*(a+b)

S = (100/2)*(1+100)

S = 50*101

S = 5050

-----------

This can be confirmed by noticing that we have 100/2 = 50 pairs of terms. Pair up the terms such that 1 goes with 100, 2 goes with 99, 3 goes with 98, and so on.

We have these fifty sums

1+100 = 101

2+99 = 101

3+98 = 101

....

48+53 = 101

49+52 = 101

50+51 = 101

We have 50 copies of 101 being added, which leads to 50*101 = 5050

--------------

The slowest and most tedious way to confirm this is to type 1+2+3+...+98+99+100 into your calculator. The result should say 5050. Using a spreadsheet would be a better option instead of using a handheld calculator. I don't recommend this unless you need more proof that we end up with 5050 as the final answer.

Answer:

We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.

Step-by-step explanation:

Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.

Answer

I am going to answer the one thats like can you classifly each firgure

cone is the one on the far right

cylinder is the one thats a long circle kinda shape at the top

pyramid is the second to the left

prism is the one next to cylinder.

Step-by-step explanation:

Answer: Its a rectangular prisim

Step-by-step explanation: It has three dimensions, length, width, and height. Some examples of a rectangular prism in real life are rectangular tissue boxes, school notebooks, laptops, fish tanks

Answer:

50 units²

Step-by-step explanation:

Solve for both long sides:

6² + 8² = x²

36 + 64 = x²

100 = x²

x = 10

Solve for both short sides:

3² + 4² = x²

9 + 16 = x²

25 = x²

x = 5

Area:

5 x 10 = 50

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

Answer:

miles

<

10

,

000

feet

D.

5

3

4

yards

=

196

inches

E.

8

yards

=

24

feet

Answer:

x = 13

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

30 = 1/2 (5x-5)

Multiply each side by 2

2*30 = 2* 1/2 ( 5x-5)

60 = 5x-5

Add 5 to each side

60+5 = 5x-5+5

65 = 5x

Divide each side by 5

65/5 = 5x/5

13 = x

Answer: $20

Step-by-step explanation:

If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?

straight angle because the supplementary angle and straight angle is same.

Given:

The table of values of a function.

To find:

The domain and range of the given function.

Solution:

Domain: The set of input values of x-values is known as domain.

Range: The set of output values of y-values is known as domain.

From the given table it is clear that x-values are [tex]-5,0,5,10,15[/tex] and the y-values are [tex]-1,0,1,2,3[/tex]. So,

[tex]Domain=\{-5,0,5,10,15\}[/tex]

[tex]Range=\{-1,0,1,2,3\}[/tex]

Therefore, the correct option is D.

The domain and range of the function represented by the table is as follows:

The domain of a function is the set of input values, x, for which a function is defined. The domain is the input of the function. The domain is the sets of all input value that produces the output value.

The domain are likewise called input . The domain are usually the x values

The set of values the function outputs is termed the range of the function. In a simpler term, the range are the output of the function. The range are usually the y values.

Therefore, the domain and range of the function represented by the table is as follows;

learn more on domain and range here; https://brainly.com/question/25173046

Answer:

1.58feet

Step-by-step explanation:

Given data

Total lenght of rope= 5 feet

She cuts 2 feet

Remainder= 5-2= 3feet

Now let us convert 17inches to feet

from tables, 17inches is 1.41667feet

Hence the amount of rope now left is

=3-1.41667

=1.58feet

Answer:

ok who ever ur teacher is is kinda a mean teacher because they givin u like 98th grade questions bro i dont even know this and im in college

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

The point N is at (-7, -8)

The point N’ is at (4, -4)

On the x-axis, -7 to 4 is a shift of 11 units to the right.

On the y-axis, -8 to -4 is a shift of 4 units upward.

To find the scale factor, we need to find the change in radius size.

As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.

As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.

6 is 3 times the amount of 2, meaning the scale factor is 3.

Hope this helps!

Answer:

elsa can do 150 in 3 minutes.

so together they can do 450 in 3 minutes, or 150 in 1 minute

they would need two minutes

Answer:

4.5 minutes long to do their job.

Answer:

Hunter's nephew is 8 years old.

Step-by-step explanation:

We could set up an expression to represent the situation, then solve for the nephew's age. The age of the nephew should be represented by X.

3x + 9 = 33

To get 3x by itself, subtract 9 from both sides.

3x + 9 - 9 = 33 - 9

3x = 24

To get X alone, divide by 3 on both sides.

24 divided by 3 is 8. Hunter's nephew is 8 years old.

Answer:

[tex]D = 161^o[/tex]

Step-by-step explanation:

Given

[tex]\angle B = 19^o[/tex]

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

[tex]B + D = 180^o[/tex] ---- opposite [tex]sides[/tex] of a [tex]cyclic \\[/tex] quadrilateral

Make D the subject

[tex]D = 180^o -B[/tex]

[tex]D = 180^o -19^o[/tex]

[tex]D = 161^o[/tex]

Answer:

The first box plot is for group 2

The second box plot is for group 1

The third box plot is for group 3

Answer: 35.98in

Step-by-step explanation:

Use the formula: h=3 v/pi(r^2)

Answer:

V = 36.0 in

Step-by-step explanation:

V of cylinder = (1/3)πr^2(h)

V of cylinder = 3052 cubic inches

r = 9 in

3052 = (1/3)π(9)^2(h)

3052 = (1/3)π(81)h

3052 = 84.82300165h

divide both sides by coefficient of h

h = 36.0 in (rounded to nearest tenth)

Answer:

The answer is Choice D

Step-by-step explanation

The median is the middle value in the given set of data.

If the data is even, then there will be two middle numbers, then the median is the average of these two middle numbers.

Thus, from the data, it is obvious that the number of data in the given set is 13.

Hence, the middle number is 23.

Therefore, the median of the data is 23.

Answer:

a)0

b)-27

Step-by-step explanation:

I simplified it u just combine the like terms

the rest should be easy

Answer:

letter B.1

ayan po sagot sa number 3

Step-by-step explanation:

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

3x-2-2x+2=x

x-x=0

infinitely many

Answer:

2y = 10 is an equation

An equation is a statement that shows that the values of two mathematical expressions are equal (indicated by the sign =)