The **constant **of **proportionality**, given that this is a** proportional relationship**, is 11. 7

To find the **constant **of **proportionality**, the following formula is used :

= Y value / Corresponding x value

The constant of proportionality can only be found for **proportional relationships**.

In this instance, we have x and y of ( 7, 81. 9 ).

The constant of proportionality is:

= 81 .9 / 7

= 11. 7

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Martha spent $12.35 at the local farmer's market. She bought 3 bundles of collards and paid $4.30 for some fruit. How much did each bundle of collards cost?

**Answer:**

12.35-4.30=8.05

8.05÷3= 2.68333333333333....

≈2.68

Quadrilateral JKLM has vertices at J(0,0), K(0,6), L(9,12), and M(12,0). Find the vertices of the quadrilateral after a dilation with scale factor 2/3.

Answer choices

J'(0, 0), K'(0, 9), L'(27/2, 18), and M'(18, 0)

J'(0, 0), K'(0, 4), L'(6, 8), and M'(8, 0)

J'(0, 0), K'(0, −4), L'(−6, −4), and M'(−8, 0)

J'(2/3, 2/3), K'(2/3, 20/3), L'(9/3, 38/3), and M'(38/3, 2/3)

**Answer:**

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

**Step-by-step explanation:**

Let suppose that center of dilation is located at origin, that is [tex]O(x,y) = (0,0)[/tex]. Vectorially speaking, dilation is described by following expression:

[tex]D'(x,y) = O(x,y) + r\cdot [D(x,y)-O(x,y)][/tex] **(1)**

Where:

[tex]O(x,y)[/tex] - Center of dilation.

[tex]D(x,y)[/tex] - Original point.

[tex]D'(x,y)[/tex] - Dilated point.

[tex]r[/tex] - Dilation factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]r = \frac{2}{3}[/tex], [tex]J(x,y) = (0,0)[/tex], [tex]K(x,y) = (0,6)[/tex], [tex]L(x,y) = (9,12)[/tex] and [tex]M(x,y) = (12,0)[/tex], then the dilated points are, respectively:

[tex]J'(x,y) = O(x,y) + r\cdot [J(x,y)-O(x,y)][/tex]

[tex]J'(x,y) = (0,0) +\frac{2}{3}\cdot [(0,0)-(0,0)][/tex]

[tex]J'(x,y) = (0,0)[/tex]

[tex]K'(x,y) = O(x,y) + r\cdot [K(x,y)-O(x,y)][/tex]

[tex]K'(x,y) = (0,0)+\frac{2}{3}\cdot [(0,6)-(0,0)][/tex]

[tex]K'(x,y) = (0,4)[/tex]

[tex]L'(x,y) = O(x,y) +r\cdot [L(x,y)-O(x,y)][/tex]

[tex]L'(x,y) = (0,0) + \frac{2}{3}\cdot [(9,12)-(0,0)][/tex]

[tex]L'(x,y) = (6, 8)[/tex]

[tex]M'(x,y) = O(x,y) +r\cdot [M(x,y)-O(x,y)][/tex]

[tex]M'(x,y) = (0,0) +\frac{2}{3}\cdot [(12,0)-(0,0)][/tex]

[tex]M'(x,y) = (8,0)[/tex]

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

** Option B** will be the correct option.

**(a, b) → (ka, kb)**

Following the rule for dilation,

If a quadrilateral J(0, 0), K(0, 6), L(9, 12) and M(12, 0) is dilated by a scale factor [tex]\frac{2}{3}[/tex], coordinates of the **image points** will be,

[tex]J(0,0)\rightarrow J'(0, 0)[/tex]

[tex]K(0,4)\rightarrow K'(0, 4)[/tex]

[tex]L(9,12)\rightarrow L'(6,8)[/tex]

[tex]M(12,0)\rightarrow M'(8,0)[/tex]

Therefore, **Option B** will be the correct option.

Learn more about the **rule of dilation** here,

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can someone help me, file attached

**Answer:**

C. log 10m is the correct answer.

**Step-by-step explanation:**

The laws of logarithm states that if you have:

[tex] log(a) + log(b ) = log(a \times b) = log(ab) [/tex]

So, comparing that to your question,

[tex] log(m) + log(10) = log(10m) .[/tex]

No it is A c means you multiply them

What is the slope of a line perpendicular to the line whose equation is 4x−y=9. Fully reduce your answer.

**Answer:**

slope of given line is 4.

so slope of line perpendicular to it will be -1/4

what is the HCF prime factorization of 30 and 36

**Answer:**

We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number. So the greatest common factor 30 and 36 is 6.

**Step-by-step explanation:**

please helppppppppppppppppp??????/

I think it is A because the waves are refracted by the cornea, and again by the lens.

**Answer:**

Its C trust me cuh

**Step-by-step explanation:**

Please give me Brainlist bro I just need 2 more

I hope u have a good day

A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a 65 degree angle with the ground, how long is the wire? Round your answer to the nearest tenth.

**Answer:**

83

**Step-by-step explanation:**

The **length **of the **wire **is **83meter.**

Given that,

A** wire** is **attached** to the **top **of a **tower** and to a** point **on the **ground** that is** 35 m **from the** base **of the **tower.**

If the **wire **makes a **65-degree **angle with the **ground**.

We have to **determine**,

How **long** is the **wire**?

**According** to the **question**,

The **computation **of the **length **of the **wire **is shown **below:
**

**
Let, the length** of the** wire **be **x,**

There is **35m **from the **base **of the **tower**,

And, the **angle **with the **ground **is** 65 degree**

Therefore,

The **length **of the **wire **is given by,

[tex]cos65 = \dfrac{35}{x}\\\\[/tex]

**Substitute **the** value **of **cos65** in the** equation,**

[tex]cos65 = \dfrac{35}{x}\\\\x = \dfrac{35}{cos65}\\\\x = \dfrac{35}{0.42}\\\\x = 83.33 \ meter[/tex]

Hence, The **length **of the **wire **is **83meter.**

To know more about **Trigonometry **click the link given below.

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Can someone please help me with this? Right answer gets brainliest!!

**Answer:**

Part 1: y= 49

Part 2: y=12

**Step-by-step explanation:**

Part 1: The y is going up by 7, so if you add 7 to 42, you get 49

Part 2: The y is going up by 4, so if you add 4 to 8, you get 12

survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time

Employee 20 60 80 Full-Time Employee 100 20 120 Total 120 BO 200 used on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy IL There are more employees for the workplace safety policy than against the workplace safety policy There is an equal number of part-time employees and full-time employees.

**Answer:**

ll and lll

**Step-by-step explanation:**

Helpppp?? I need help on this cause I just don’t wanna solve it

**Answer:**

**3 and 3/5**

**Step-by-step explanation:**

Someone help please!

X+3y=-7 5x+6y=-8

**Step-by-step explanation:**

I have used substitution method here to find the value of x and y.

Please I need this now

Whoever can answer this I will make a brainliest

**Answer:**

djchdjcycuchrivivurtiytvivytivi8fr cgdyhcd8w

C, B, D, D, A, C, B, D, C, B

I REALLY NEED HELP!!! THIS IS DUE AT 12!!!

Jeremiah scored 32 points in yesterday’s basketball game. He made a total of 19 baskets.Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). Write and solve a system of equations to find the number of field goals and the number of free throws that Jeremiah made. Let x represent Field Goals and y represent Free Throws.

**Answer:**

x=16

y=3

**Step-by-step explanation:**

32÷2=16

19-16=3

x=16

y=3

*find the area thats all *

**Answer:**

The area is 155 square feet

**Step-by-step explanation:**

[tex]\frac{(13+18)} {2}[/tex] × 10

[tex]\frac{31}{2}[/tex] × 10

15.5×10=155

Hope this helps! :)

Q) Mr. John went to a restaurant. The cost of a meal was $40.00. If the

sales tax is 9%, what is the total amount he paid for the meal?

4.44 because 40 divided by 9 is 4.44

Can someone help me with this answer thank you

The original cost for the shirt was $105 and the original cost for the shoes was $140. There are only 2 steps. Hope this helps

**Answer: bro cmon this is simple m8 but i will still help :D**

**Step-by-step explanation:35x3=105 and 28x5=140 the outfit couldve been 245 dollars in total!**

In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC?

**Answer:**

The angle measure would be 40°

**Step-by-step explanation:**

Right angles have a measure of 90. Since DC is 50, 90-50 is 40.

The angle measure of **∠EBC** would be** 40**°.

The** arc** is a portion of the **circumference of a circle**

Right angles have a measure of 90°.

∵∠BOD=90°

Since ∠DC is 50°,

∠EBC = ∠BOD-∠DC

∠EBC = 90°-50° is** 40**°.

The angle measure of **∠EBC** would be **40°**.

learn more about **arc of circle**

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What’s 12 times 12divided by 58 ?

12 x 12 = 144

144 / 58 = 2.66

144 / 58 = 2.66

**Answer:**

2.48........is your answer

**Step-by-step explanation:**

12×12 =144

144÷58

!!!!!!PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!

which of the following is a irratinol number

A. 1 squared

B. 41 squared

C.- 9 squared

D.-64 squared

B is the correct answer*Let me know if I am wrong.*

Let

cos

(

2

∘

)

≈

0.9994

What is the the value of

x

, in degrees, for

sin

(

x

)

≈

0.9994

?

**Answer:**

can write it again soon as you can do it again

A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?

**Answer:**

Each costume will take 7 1/3 yards of green fabric

**Step-by-step explanation:**

They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.

Determine which fraction is smallest given 21/64, 5/16, 11/32, 1,2

Answer :

5/16

Explanation :

5 divided by 16 is less than the other one equations

5/16

Explanation :

5 divided by 16 is less than the other one equations

The speed limit on a road is 45 mph what is the rate in miles per minute￼

The answer is 320 minutes

The rate in miles per minute is 320

A number cube is rolled. What is the probability that a number greater than 4 will be rolled?

5/6

1/3

2/3

1/6

**Answer:**

1/3

**Step-by-step explanation:**

Anything under 4 has a 4/6 chance, so whats left is 2/6, which is equal to 1/3.

**Answer:**

1/3

**Step-by-step explanation:**

im assuming its a 6 sided dice

so each side is numbered 1-6

u want the probabilty if it being greater than 4

4 of the 6 numbers aren't greater than 4 so 4/6of the time it will be less than 4

which and be simplified to 2/3

so 1/1-2/3=1/3

so there is a 1/3 propbability that it will be greater than 4

help me please!!!!!!!!!!!!!!!!

**mr. russell questions:**

**1: **false.

**2: **false.

**3: **true

**4: **false.

**5: **true.

**the last question: **D.

HELP I NEED HELP ASAP

**Answer:**

A. The number of people infected increases expontially by approximately 80/ per month

**Step-by-step explanation:**

I'll just remind

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! ASAPPPP

DIVIDING EXPONETS

Here is the answer

I can’t seem to do the symbols here so the answer is in the picture.

I can’t seem to do the symbols here so the answer is in the picture.

**Answer:**

[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]

**Step-by-step explanation:**

To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).

Hope it helps and is correct!

I dont understand the work my teacher gave me and I Have 45 pages to do

**Answer:**

just send them here , I will answer the ones I know .

5+5-66564+6367347646-4848

**Answer:**

6367276244 6367276244

6367276244 6367276244

**Answer:**

6367276244

**Step-by-step explanation:**

PLEASE HELP WILL MARK BRAINLY

Use a ratio box to solve this problem: Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 6 to 5, how many girls attended the assembly?

**Answer:**

250 girls

**Step-by-step explanation:**

Please let me know if you want me to write an explanation for my answer :)

how many distinct distortion tools are included in the liquify feature
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