Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000. What is the constant of proportionality in this inverse variation?

Answer:

its x in the first equation! (a)

Step-by-step explanation:

I just took the test. I used the other answer but it was wrong :( BUT  you can trust me :)    

Answer:

A: The easiest to solve for is x in the first equation.

Step-by-step explanation:

The X in the first equation is the only one without a coefficient.

Answer:

  320°

Step-by-step explanation:

Part 1

The arc length is given by ...

  s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

  8π = 4.5θ

  θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

  θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

_____

Part 2

We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.

Answer:

1:4:12

Step-by-step explanation:

George = x

Alex = 12 + x

Carl = 3(12 + x) = 36 + 3x

x + 12 + x + 36 + 3x = 68

5x + 48 = 68

5x = 20

x = 4

George = x = 4

Alex = 12 + x = 12 + 4 = 16

Carl = 36 + 3x = 36 + 3(4) = 48

4:16:48 = 1:4:12

The ratio is 1:4:12.

Answer:

1:12:4

Step-by-step explanation:

a = alex's age

g = george's age

c = carl's age

g = a - 12

c = 3a

a + g + c = 68

(substitution) a + a - 12 + 3a = 68

5a = 80

a = 16

g = 4

c = 48

4:48:16 (divide all by 4)

1:12:4

Answer:

c

Step-by-step explanation:

Answer:

$3.10.

Step-by-step explanation:

You get the expected value by multiplying the payout by the probability, then adding them all up.

So...

(0 * 0.45) + (4 * 0.3) + (6 * 0.1) + (8 * 0.1) + (10 * 0.05) = 0 + 1.2 + 0.6 + 0.8 + 0.5 = 1.8 + 1.3 = 3.1

So, the expected value of the winnings from a game with the payout probability distribution is $3.10.

Hope this helps!

Answer:

5 red, 5 yellow, and 4 blue

Step-by-step explanation:

Answer:

5 red, 5 yellow, and 4 blue :)

Step-by-step explanation:

Answer:

No because y repeats with a diffirent x i think

Step-by-step explanation:

If it doesn't bother you would you let me know if i was right?

Answer:

0.875 times

Step-by-step explanation:

The number of plastic water bottles bought in the United States every day

= 140,000,000

Length of each bottle = 0.25 meters

Total Length of the plastic bottles = 0.25 X 140,000,000 =35,000,000 meters

Length of the equator around =  40,000,000 meters

Therefore, the number of times the earth's equator can be circled by a line of plastic bottles used in the United States every day

= 35,000,000/40,000,000

=0.875 times

It means the length of plastic bottles will go around 87.5% of the equator.

Answer:

Hey there!

First, do you mean simplify? I can't solve an equation if there isn't a equal sign.  If you want me to solve this, check if you have properly typed your question- Thanks!

Here is how you should simplify:

Given expression.

-3x-7(x+4)

Distributive property.

-3x-7x-28

Combine Like Terms

-10x-28

Your final answer should be -10x-28

Hope this helps :)

━━━━━━━☆☆━━━━━━━

▹ Answer

-10x - 28

▹ Step-by-Step Explanation

-3x - 7(x + 4)

-3x - 7x - 28

-10x - 28

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

64800

Step-by-step explanation:

you will multiply 60 by 18m to get how much you go in a minute. and then you multiply that by 60 again to get how much you go in an hour.

Answer:

64800

Step-by-step explanation:

18x60= 1080

1080x60= 64800

parallel line so gradient stays the same at 25x

y=25x+c

substitute in the point

-7= 25(2) +c

-7 = 50 + c

(-7)-50= -57

y=25x-57

hope this helps!

The equation of the line in slope intercept form is y = 25x + 177.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The equation is y = 25x−12 -------- (1)

The point is (−7,2)

The general form of equation of line in slope intercept form is

[tex]y=mx+c[/tex]

On comparing this equation with equation, we get

slope, m = 25

The given line is parallel to the equation of line, so slope is same.

The line passes through the point (x1, y1) is (−7,2).

Thus the equation of line in slope intercept form is

[tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-2=25(x-(-7))[/tex]

⇒ [tex]y-2=25(x+7)[/tex]

⇒ [tex]y-2=25x+175[/tex]

⇒ [tex]y=25x+175+2[/tex]

⇒ [tex]y=25x+177[/tex]

Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.

Learn more about equation of line here

https://brainly.com/question/19546232

#SPJ3

Answer:

Step-by-step explanation:

hello,

[tex]15x^2-10x=15(x^2-\dfrac{10}{15}x)=15(x^2-\dfrac{2}{3}x)[/tex]

and we can write that

[tex](x-\dfrac{2}{2*3})^2=(x-\dfrac{1}{3})^2=x^2-\dfrac{2}{3}x+\dfrac{1}{9}[/tex]

so

[tex]x^2-\dfrac{2}{3}x= (x-\dfrac{1}{3})^2-\dfrac{1}{9} \ so\\15x^2-10x=15(x^2-\dfrac{2}{3}x)=15[(x-\dfrac{1}{3})^2-\dfrac{1}{9} ]=15(x-\dfrac{1}{3})^2-\dfrac{15}{9}\\=15(x-\dfrac{1}{3})^2-\dfrac{5}{3}[/tex]

Then

[tex]15x^2-10x+\dfrac{5}{3}=15(x-\dfrac{1}{3})^2[/tex]

then, I would say that you need to add 5/3 to make a perfect square

hope this helps

Answer:

$113

Step-by-step explanation:

Since he had $13 and now he is $100 in debt:

First, he withdrew $13 to get $0 in his bank account.

He then withdrew $100 to get -$100 in his bank account.

13 + 100 = 113

Answer:

Timmy withdrew $113

Step-by-step explanation:

The following equation represents that situation:

$13 - m = -$100

Adding m to both sides, we get:

$13 = m - $100

Combining like thers, we get m = $113

Timmy withdrew $113

Answer:

5(6x+3y) is equalivent to 30x+15y

Answer:

30x+15y

Step-by-step explanation:

distributive property

Step-by-step explanation:

4×10×2=80

20×10×1=200

20×8×1=160

20×10×1=200

2×20×1=40

10×2×2=40

80+200+160+200+40+40=720

Answer:

1 : 6

Step-by-step explanation:

3 : 18

3 ÷ 3 : 18 ÷ 3

1 : 18 ÷ 3

1 : 6

Answer:

n=6

Step-by-step explanation:

3:18

1:6

3/1=3

18/3=6

Answer:

old town has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

Answer:

y = 9

Step-by-step explanation: this is because when x is 5 and is multiplied by -6 u get -30. from there u substratc -30 from -57 and get -27. so y is 9

Answer:

Step-by-step explanation:

A line of best fit is a straight line that shows the appropriate correlation among scatter plots of a given data. It is majorly used when the plotted points are not linear, it can be used to express the relationship between dependent and independent variables.

The sum of the residuals should be close to zero because it shows that the line of best fit is accurately drawn. Thus, it implies that there is a linear relationship between the two variables. Since he residual is close to zero, the graph could be said to be a linear graph.

Answer:

f(2)= 0 and g(-2) = 0 is the answer

Step-by-step explanation:

if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y

f(x)=(2) and once again y=0

so the third option is the answer if im seeing this correctly.

f(2)=0 and g(-2)=0

Answer:

10π

Step-by-step explanation:

Circumference formula is : 2πr

So if you put r into this formula, it will be: 2π5

Now, you can multiply 2 by 5 to get 10, leaving you with 10π

Answer:

10 π

Step-by-step explanation:

The formula for circumference is C=2 πr, where r is radius, so if we do C=2 π(5), we get C=10 π

Answer:

x = -4, y = 1/3

Step-by-step explanation:

=> x = 3y-5        (Equation 1)

=> 2x+12y = -4  (Equation 2)

Putting (1) in (2)

=> 2(3y-5)+12y = -4

=> 6y-10+12y = -4

=> 18y = -4+10

=> 18y = 6

Dividing both sides by 18

=> y = 6/18

=> y = 1/3

Putting y = 1/3 in Equation 1

=> x = 3(1/3)-5

=> x = 1-5

=> x = -4

Answer:

area: 27

Step-by-step explanation:

Sides: a = 10.296   b = 14.213   c = 6

The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).

Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

Answer:

C

Step-by-step explanation:

in order of containment it goes

Quadrilaterals

Parallelograms and trapezoids

kites rhombuses and rectangles

squares

Answer:

Hey there!

All parallelograms are four sided shapes, also called quadrilaterals.

Hope this helps :)

Answer:

[tex]\boxed{\sf \ \ \ \dfrac{1}{6} \ \ \ }[/tex]

Step-by-step explanation:

Hello

when you multiply by [tex]2^{-3}[/tex]

it is equivalent to divide by [tex]2^3[/tex]

so we are looking for

[tex]144*2^{-3}*12^{-1}*3^{-2}=\dfrac{144}{2^3*12*3^2}=\dfrac{9*16}{2^3*12*3^2}\\=\dfrac{3^2*2^4}{2^3*12*3^2}=\dfrac{2}{12}=\dfrac{1}{6}[/tex]

hope this helps

do not hesitate if you have any question

Answer:

-35a^2b^6c^2

Step-by-step explanation:

Multiply the numbers like normal and add the variables (a,b,c) exponents.

Answer:

[tex]-35a^2b^6c^2[/tex]

Step-by-step explanation:

Multiply 5 and -7 = -35

a^1 times a^1 = a^2 (add exponents)

b^2 times b^4 = b^6 (add exponents)

c times c =c^2 (add exponents)

Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people

Step-by-step explanation:

Answer:

licensed drivers who own cell phones

Step-by-step explanation:

licensed drivers who own cell phones