The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationship

Find the value of x and the value of y.

Select the two correct answers.

A y=56

B. x= 14

C. x=7

D. y=39

Ex= 9

F. y = 42

Answers

Answer 1

Answer: B. x= 14

D. y=39

Step-by-step explanation:

First and foremost, we need to calculate the constant of proportionality. This will be:

(8,12).

y = kx.

12 = 8k

k = 12/8

k = 1.5

(16, 24),

y = kx

24 = 16k

k = 24/16

k = 1.5

(x, 21),

y = kx

x = y/k

x = 21/1.5

x = 14

(26, y)

y = kx

y = 26 × 1.5

y = 39


Related Questions

Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

Answers

Answer: The required scale factor[tex]=\dfrac43[/tex]

Step-by-step explanation:

Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]

Here, ED = 3 units  in Δ DEF which corresponding to SR = 4 units in ΔRST

Now,

Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]

[tex]=\dfrac{4}{3}[/tex]

hence, the required scale factor[tex]=\dfrac43[/tex]

catfish exposed liar stop pretending to be somebody

Answers

Answer:

Step-by-step explanation:

LOL

Elijah is planning a circular flower garden with a 12 foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for π)

Answers

Answer:

[tex]37.7\ \text{foot}[/tex]

Step-by-step explanation:

The length of the edging will be equal to the circumference of the circular flower garden.

Here, the diameter of the circular garden is [tex]d=12\ \text{foot}[/tex]

Circumference of a circle is given by

[tex]C=\pi d\\\Rightarrow C=3.14\times 12\\\Rightarrow C=37.68\approx 37.7\ \text{foot}[/tex]

The length of the edging is [tex]37.7\ \text{foot}[/tex].

g−9=−19

Help plz


Pleaseeeeee

Answers

Answer:

g = -10

Step-by-step explanation:


Tom
A cheerleading formation has 2 rows of 8 men and 3 rows of 10 women. How many
total men and women are in formation? Please help

Answers

Answer:

(2x8)+(3x10)

Step-by-step explanation:

Which is the least amount?
[A] 1.20 [B] 0.21 [C] 1.02 [D] 1.020

Answers

The Answer Is:

B (0.21)

Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!

Answers

Answer:

Step-by-step explanation:

If Gary's age is 14 then

Ash is 4 years younger = 14 - 4 = 10

And Oak is 5 times Gary's age = 14 x 5 = 70

So total ages = 70 + 14 + 10 = 94

5.
Which picture shows a rotation of the flag?
(1)
(2)
(3)
(4)

Answers

Answer:

4 my good sir

Step-by-step explanation:

821.8 divided by 4

pls help i have so many missing assignments

Answers

Answer:

205.45ㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:205.45

Step-by-step explanation:

821.8 / 4 = 205.45

The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

sorry i’m not gonna graph it but with this info u easily can

the y intercept is -1
slope is 3/1
final equation is y=3x-1

plz show how you got the answer​

Answers

D. Would be correct. Turn 2 1/4 to a mixed fraction. 2 1/4 would be 9/4. 1 1/4 into mixed fraction form would be 5/4. 9/4+ 5/4 = 14/4. 14/4 equals 3 2/4 which equals 3 1/2.

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)

Please hurry
5/6x-1/3>1 1/3?​

Answers

Answer:

-5/18 >4/3

Step-by-step explanation:

Make this brainliest , thank you!

Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

Answers

Answer:

x = 7

Step-by-step explanation:

Testing if 6 is the solution:

5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 19

6 is not a solution

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

Solving for x:

5(x – 3) = x + 13            ⇒ open parenthesis5x - 15 = x + 13              ⇒ isolate variable5x - x = 13 + 15              ⇒ simplify4x = 28                          x = 28/4x = 7

Answer:

x = 7

Step-by-step explanation:

A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87

Answers

Answer:

b

Step-by-step explanation:

area = pie x radius(2)

         = 3.142 x 13 (2)

          = 530.998

Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.

Answers

Answer:

Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.

1). 9

2). -2

3). i don´t know

4). i don´t know

Step-by-step explanation:

Sorry plz don´t be mad I´m only in 4th grade

Explain what a rational exponent such as 5/2 means. Use this explanation to evaluate 9^5/2

Answers

Answer: The denominator of the rational exponents represents the index of a rule and the numerator of the rational exponent represents the power of the base.

(sqrt 9)^5= 243

How do I find the rule of a linear table ?

Answers

Answer:

start  by checking that it's a linear relationship that's occurring by having a look at the difference in our X in each step against the difference in our Y in each step.

Step-by-step explanation:

A rectangular field has an area of 646 square feet. The width of the field is 19 feet. What is the length of he field?

Answers

the length is 34 feet if you divide 646 by 19

If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

Area of rectangular field is  646 square feet.

width of the field is 19 feet.

We need to find the length of the field.

Area of rectangle=Length×Width

646=Length×19

Divide both sides by 19

Length=646/9

Length=71.77 feet

Hence 71.77 feet is the length of the field.

To learn more on Areas of rectangle click:

https://brainly.com/question/20693059

#SPJ5

The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

Answers

Answer:

Cost = y/x

Step-by-step explanation:

The cost of a 4 pack of apple juice is $ 2.24.

We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

As 4 packs = $2.24

1 pack = 0.56

So, the equation can be :

Cost = y/x

Please answer this really fast!
Can you please create me an Order of Operations equations with numbers 5,12,5,11,9. And please give me the answers as well! dont forget to use numbers 5,12,5,11,9. for the equation
THANKS SO MUCH!

Answers

Step-by-step answer:  

5(12×11)-(5^5)+9

5(12×11)-3,125+9

5(144)-3,125+9

720-3,125+9

-2,405+9

-2,396

Plzzzzz give me Brainliest!!!!!  

a case of fruit weighs 53 kilogram and another weighs 47 kilograms how much weight must be removed from the first case and placed in the second is that they both equal

a . 2 kilograms
b . 4 kilograms
c . 6 kilograms
d . 8 kilograms ​

Answers

None of those it will be 3

There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Fruit weight = 53 kilograms

And, Another weight = 47 kilograms

Now,

Let number of kilograms weights to remove and add = x

So, We can formulate;

⇒ 53 - x = 47 + x

Solve for x as;

⇒ 53 - 47 = x + x

⇒ 6 = 2x

⇒ 2x = 6

⇒ x = 3

Thus, There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.

Learn more about the subtraction visit:

https://brainly.com/question/28467694

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Determine the slope of the line that has the points (-5, 8) and (-5, 3).
O A. O
B. -2
C. 2
OD. Undefined

Answers

Answer:

Option D : Undefined

Step-by-step explanation:

Given points (-5,8) and (-5,3) lies on a line.

Slope of a line is given by:

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-8}{-5-(-5)}\\\\m=\frac{-5}{0}[/tex]

Anything divided by zero is undefined.

Therefore,

Option D is the correct answer.

Give one combination of two factors whose product is 0.72, if one of the factors is a whole number greater than 1.

Answers

Two factors could be, 0.144 and 5

Help please!!!!!!




Please answer quick!!

Answers

Answer:

Option 3

Step-by-step explanation:

the symbol your question is showing is "greater than or equal to"

when a line includes "or equal to", the circle will be filled in. also, since the symbol is going towards 5, it is considered a greater than symbol. so, you'd want to choose the option with a filled in circle and an arrow pointing to the right.

since option 3 has a filled in circle and has its arrow pointing towards the positive (or right) side of the line, it should be option 3.

Simplify 9x - 4 + 3x

Answers

Answer:

[tex]4(3x - 1)[/tex]

Step-by-step explanation:

[tex]9x - 4 + 3x[/tex]

Adding 9x & 3x gives 12x.

[tex] = > 12x - 4[/tex]

Now taking 4 common from both the terms , we get :-

[tex]4(3x - 1)[/tex]

A scale model of the empire state building is 8cm tall. The actual building is 1454 feet tall. What scale factor was used to create the scale model?

Answers

Answer:

Scale Factor [tex]= 5540[/tex]

Step-by-step explanation:

As we know -

Scale  scale factor [tex]= \frac{L_p}{L_m}[/tex]

[tex]L_p =[/tex] Length of Actual object

[tex]L_m =[/tex] length of the model

Substituting the given values in above equation we get

Scale factor

[tex]= \frac{44317.92}{8} \\= 5539.74\\=5540[/tex]

Now, rename your answer so the fractional part is less than one.
5
5 11
+ = 5
8 8

Answers

answer: 2 explanation: add it to the

Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)

Answers

Yeah. You basically have to look at every x value and see if for every x value, is there ONLY one y-value. So in your example, it is a function because every x value has only one y value. Let’s say you had (1,3) and (1,5). That would not be a function because the x value of 1 has TWO y values (3 and 5), therefore it is not a function.

That’s how you can easily spot if something is a function by just looking at a handful of ordered pairs. I hope this makes sense.
Plug into your calculator and Use linear regression

What is the solution to this inequality? -9x - 15 2
A. x > 2
B. x > -2
C. x < -2
D. x < 2

Answers

Answer:

Step-by-step explanation:

x>-2

Becuase multiply it and divide

Ms.Maxwell bought a purse with 1/4 of her money. The purse cost $37.00. How much money did Ms.Maxwell have left after she bought the purse?

Answers

Answer:

the money left after purchasing the purse is $111

Step-by-step explanation:

The computation of the money left after purchasing the purse is given below:

Since in the question it is mentioned that she bought a purchase with one-fourth of money

And, the purse cost is $37

So the amount left would be

= $37 × (3 ÷ 4) ÷ (1 ÷ 4)

= $37 × 0.75 ÷ 0.25

= $111

Hence, the money left after purchasing the purse is $111

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