A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain of a relation R where two cars are related if they were made in the same year. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes.

Answer:

8

Step-by-step explanation:

b ÷ 9 when b = 72

b ÷ 9 <== substitute 72 for b, and solve

72 ÷ 9 = 8

Hope this helps!

Answer:

Answer = 8

Step-by-step explanation:

first you write out the equation

next you substitute 72 for b

then you divide them to get your answer of 8

Step-by-step explanation:

120° + 20° + x = 180° ( sum of interior angle. of triangle is 180°)

140° + x = 180°

x = 180° - 140°

x = 40°

Now

y + x = 180° ( supplementary angle)

y + 40° = 180°

y = 180° - 40°

y = 140°

The angle measure of y is 140°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The three angles of a triangle are 120°, 20° and x.

And we know,

the sum of the interior angle of the triangle is 180°.

120° + 20° + x = 180°

140° + x = 180°

x = 180° - 140°

angle measure of x = 40°

Now:

Here, x and y are supplementary angles.

Supplementary angles are two angles whose measures add up to 180°

y + x = 180°

y + 40° = 180°

y = 180° - 40°

y = 140°

Therefore, the value of y is 140°.

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Answer:

Step-by-step explanation:

JL = JK + KL

JL = 10x + x + 9

JL = 11x + 9.

Answer:

5.5 pounds

Explanation:

weight in kg = 2.5 kilograms

conversion:

1 kg ↔ 2.205 pounds

solve:

Answer:

5.5 pounds (nearest tenth)

Step-by-step explanation:

1 kilogram = 2.20462262 pounds

To determine how many pounds are in 2.5 kg, multiply by 2.5:

⇒ 2.5 kilograms = 2.20462262 × 2.5

                           = 5.5 pounds (nearest tenth)

[tex]-\dfrac 17 - x = \dfrac{11}{14}\\\\\implies x = -\dfrac 17 - \dfrac{11}{14}\\\\\implies x= -\dfrac{13}{14}\\\\\text{Hence,}~x = -\dfrac{13}{14}~ \text{should be subtracted.}[/tex]

Answer:

10 wedges

Step-by-step explanation:

To find the number of wedges, the total weight should divided by weight of  one wedge.

[tex]\text{Number of Wedges = $2.5 \div 0.25$}\\[/tex]

                              [tex]= \dfrac{2.5*100}{0.25*100}\\\\\\=\dfrac{250}{25}\\\\\\= 10 \ \sf wedges[/tex]

Answer:

16

Step-by-step explanation:

We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.

Answer:

false

Step-by-step explanation:

i said so

Answer:false

Step-by-step explanation:

because im smart

brainleist? or scam?

The weight of sand in the mixture when the weight of the clay in the mixture is 6.25 pounds is 4.69 pounds.

The equation can be represented as follows:

3c = 4s

3c = 4s

where

Hence,

3c = 4s

4s = 3c

let's make s the subject of the formula, since, we want to find s when c = 6.25 pounds

s = 3 / 4 c

s = 3 / 4 × 6.25

s = 18.75 / 4

s = 4.6875

s = 4.69 pounds

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Answer:

a : 2 , b : 1 , c : 0 , d : 0

Step-by-step explanation:

a: 2

b: 1

c: 0

d:0

Answer:

d .

Step-by-step explanation:

I went over it in class .

Answer:I think it is the top one on the left

Step-by-step explanation:

Answer:

44 286 ft²

Step-by-step explanation:

4 686.144+3 600+36 000

=44 286.144

Based on the given conditions, formulate: 

34÷1 1/3

Find common denominator and write the numerators above common denominator:

34/3/3+1/3

Write the numerators over common denominator:

34/3+1/3

Calculate the sum or difference:

34/4/3

Divide a fraction by multiplying its reciprocal:34×3/4

Cross out the common factor:

17×3/2

Calculate the product or quotient:

51/2

get the result:

25.5 or 25 1/2

=25.5 or 25 1/2

Using proportions, it is found that it will take him at least 135 minutes to shovel the driveway at this rate.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, it takes 45 minutes to shovel 240 ft². How long does it take to showel 720 ft²? The rule of three is given by:

45 min - 240 ft²

n min - 720 ft²

Applying cross multiplication:

240n = 45 x 720

n = 45 x 720/240

n = 45 x 3

n = 135

It will take him at least 135 minutes to shovel the driveway at this rate.

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Answer: the graph is shifted 6 units down

Step-by-step explanation:

Answer:sorry i don't know this

Step-by-step explanation:

Answer:

(D. 12/3

Step-by-step explanation:

pls tell me if im wrong

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h= 11 \end{cases}\implies V=\cfrac{\pi (6)^2(11)}{3}\implies V=132\pi[/tex]

Answer:

Below in bold.

Step-by-step explanation:

1) as ABCD is a rhombuc AC bisects < BAD and < BCD .

Therefore < CAD = 1/2 * 104 = 52 degrees.

2) < ACG  = < ADC +  < CAD  ( External angle of triangle theorem)

Therfore  < ACG = 76 + 52 = 128 degrees.

Answer:

(3 -1 -1 3

4 4 1 1)

reflection across the y-axis

Step-by-step explanation:

Answer:

  200

Step-by-step explanation:

Of the apartments in the building, 20% are singles and 70% of those do not have balconies.

That is, (0.20 × 0.70) = 0.14 of the building's apartments are singles without balconies. That is 28 apartments. If A is the number of apartments in the building, this means

  0.14A = 28

  A = 200 . . . . . divide by 0.14

There are 200 apartments in the building.

The most efficient method to see the input area and summary statistics is to use the split command.

It should be noted that statistics is the branch of mathematics that deals with data collection, organization, and presentation.

In this case, the most efficient method to see the input area and summary statistics is to use the split command and adjust one pane to see the input section and another pane to see the summary statistics.

Learn more about statistics on:

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Answer:

So there are 2 pi radians in one revolution and since there are also 360 degrees in one revolution, this gives us a way to convert from radians to degrees. 2 pi radians equals 360 degrees or you can divide both sides by 2 and use pi radians equals 180 degrees.

Answer: Z and M

or

N and Y

Step-by-step explanation:

Well alternate exterior angles are located on the outside of the two parallel lines, but on opposite sides of each other.

So you could say its N and Y or Z and M

Answer:

x=3.48 or -1.98

Step-by-step explanation:

2x^2-3x-8=0

x^2-1.5x-4=0

(x-0.75)^2=0

x^2-1.5x-0.5625=0

(x-0.75)^2-7.4375=0

(x-0.75)=√(7.4375)

x=0.75±√(7.4375)

x=3.48 or -1.98

Answer:

I think the answer is 42%

I don't really know for sure though

Answer:

90 is the orrect answer because I said so

Step-by-step explanation:

Answer:

The answer is a = 99

Step-by-step explanation:

We can solve this using ratios

First we set up the equation:

[tex]\frac{a}{90}= \frac{110}{100}[/tex]

Then cross-multiply:

[tex]100 * a = 90 * 110[/tex]

Simplify:

[tex]100 * a = 9,900[/tex]

Divide both sides by 100:

[tex]a = 99[/tex]

Ta-Da! The answer is a = 99

Hope this helps! :)

Answer:

slope: 5

y-intercept: 0

Equation: [tex]y=5x[/tex]

Step-by-step explanation:

First, lets find the slope.

Every time we have an increase in [tex]x[/tex], we have an increase in [tex]y[/tex].

To find that change, we will divide the changes in [tex]y[/tex] using two points.

I will be using the points [tex](1,5), (2,10)[/tex]

[tex]\frac{10-5}{2-1}[/tex]

[tex]=5/1[/tex]

[tex]=5[/tex]

Therefore, the slope is 5.

Next, lets find the y-intercept. The y-intercept is where the line goes through the y-axis.

We can go back 1 x-value (since when x = 1, y = 5)

Subtracting our slope (5) from the y-value for 1, we get:

[tex]y=0[/tex]

Therefore, the y-intercept is 0.

Finally, lets find the equation.

Linear equations are in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Plugging those values in we get: [tex]y=5x+0[/tex]

Which will be simplified down to [tex]y=5x[/tex]

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the answer is 3.5

Step-by-step explanation:

c² ::: a² + b²

(4)² ::: (2)² + b²

16 ::: 4 + b²

16-4 ::: b²

/12 ::: b2

b ::: 3.5