Explain how to determine whether two quantities are proportional.

Answers

Answer 1

Step-by-step explanation: Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

Answer 2
if all of the variables have the same ratio they are proportional

Related Questions

Evaluate the expression xy - 4x when x = 2 and y = 7 . Please help.

Answers

6




xy- 4x.

since we know x= 2 and y= 7, we can substitute the values.

(2)(7) - 4(2)

Multiply 2 and 7

14 - 4(2)

Multiply 4 and 2.

14 - 8

Subtract.

14-8= 6

plss help me i need help

Answers

the answer would be x=32

Answer: 32

Step-by-step explanation:

Here, (3x-4) and (3x-8) make up to 180

So,

3x - 4 + 3x - 8 = 180

6x -12 = 180

6x = 192

x = 32

Hope it helped. Pls mark me the BRAINLIEST!

Please help will mark Brainliest

Answers

Answer:

I think that is correct

Step-by-step explanation:

The correct answer gets brainliest.

In the diagram below, what are AC and BC?

Answers

Answer:

  AC = 5 +5√3 ≈ 13.66

  BC = 5√2 ≈ 7.07

Step-by-step explanation:

You want the measures of sides AC and BC in ∆ABC with AB=10, A=30°, C=45°.

Special triangles

Drawing altitude BD divides the given triangle into two "special" right triangles:

∆ABD with side lengths BD : AD : AB = 1 : √3 : 2∆CBD with side lengths BD : CD : BC = 1 : 1 : √2

Using these ratios, we find ...

  BD = AB/2 = 10/2 = 5

  AD = BD√3 = 5√3

  CD = BD = 5

  BC = BD√2 = 5√2

Then ...

  AC = AD +CD = 5√3 +5

The side measures are AC = 5+5√3 ≈ 13.66, and BC = 5√2 ≈ 7.07.

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Please help me anyone!!

Answers

Answer: x = 31

Step-by-step explanation:

(5x - 16) + (x + 10) = 180

6x - 6 = 180

6x = 186

x = 31

Answer: 31

Step-by-step explanation:

Here,

(5x-16) and (x+10) angles make up to 180. So,

5x - 16 + x + 10 = 180

6x -6 = 180

6x = 180 + 6

6x = 186

x = 186/6

x = 31

Hence, x = 31

Hope it helped. Pls mark me the BRAINLIEST!

Question 3
The expressions in the table represent the ages of Tito and Marie.



Person Age (years)
Tito 5x+2

Marie 4x−1



How much older is Tito than Marie? Write the expression in simplified form.



__ year(s)

Answers

The answer is x+3. iuggyfychvuvuufuffrhbfddg
Answer: x + 1

Explanation:-

Since Tito is older than Marie you have to subtract both the expressions

5x + 2 - 4x - 1
5x - 4x +2 - 1
x + 1

So that’s how you find an expression for how much older is Tito than Marie

A fully loaded and fueled space shuttle can weigh close to 4.5 million pounds at liftoff what is this weight expressed in tons? use the conversion 1 Ton = 2,000 pounds!?

Answers

Answer:

2,038 metric tons

Step-by-step explanation:

Answer:the answer to you’re question is 2250

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

The length of the third side is 6.3

Someone help me !!!!!!

Answers

The answer for x is 24

What is the perimeter of a right triangle if the hypotenuse is 15 centimeters and one of the legs is 9 centimeters?

Answers

Answer:

The perimeter of a triangle is the sum of the lengths of all its sides. In a right triangle, the length of the hypotenuse is the longest side, and the other two sides are called legs.

Given that the hypotenuse is 15 centimeters and one of the legs is 9 centimeters, we can use the Pythagorean theorem to find the length of the other leg. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Therefore, we can write the equation:

c^2 = a^2 + b^2

where c is the length of the hypotenuse and a and b are the lengths of the legs. Substituting the given values, we get:

15^2 = a^2 + 9^2

225 = a^2 + 81

144 = a^2

a = 12

So, the length of the other leg is 12 centimeters. The perimeter of the triangle is the sum of the lengths of the three sides, which is 15 + 9 + 12 = 36 centimeters.

Answer:

36 cm

Step-by-step explanation:

First, we have to find the length of the other leg using the Pythagorean theorem.

For that, let the length of the missing leg be x.

Let us find it now.

x² + 9² = 15²

x² + 81 = 225

Subtract 81 from both sides.

x² = 225 - 81

x² = 144

x = √144

x = 12 cm

So, the length of the missing side is 12 cm.

Now, let us find the perimeter of the triangle.

For that, you can simply add the lengths of three sides.

P = 15 + 9 + 12  

  = 36 cm

anybody????????????????

Answers

Answer:

A. 7/9

Step-by-step explanation:

The square root of 49 is 7 and the square root of 81 is 9.

Consider the expression 3/3 x 6/4. Explain how the product compares to the factor 6/4

Answers

You multiply them and then simplify it down to 6/4

you multiply it then simplify it down to 6/4
Hope this helps!

Give me the right answer!!!

Answers

The value of x is 18

Answer:

The value of x is 18

Step-by-step explanation:

The table represents a linear relationship.


x −1 0 1 2
y −2 0 2 4


Which of the following graphs shows this relationship?
graph of a line passing through the points negative 2 comma negative 4 and 0 comma 0
graph of a line passing through the points negative 2 comma negative 1 and 0 comma 0
graph of a line passing through the points negative 2 comma 4 and 0 comma 0
graph of a line passing through the points negative 2 comma 1 and 0 comma 0

Answers

Answer:

Step-by-step explanation:

second one

Answer:

Step-by-step explanation:

the second answer

A eyeglasses store is checking their inventory. The table shows the relationship between the number of days since the opening of the eyeglasses store and the total amount of sunglasses in their inventory.


Sunglasses Inventory
Number of Days Total Amount of Sunglasses
2 52
5 46
7 42
10 36


Which graph shows the relationship given in the table?
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 52 through the point 1 comma 50
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 56 through the point 1 comma 54
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 52 through the point 1 comma 49
graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 56 through the point 1 comma 53

Answers

Answer:

y + 10x - 62 = 0

Step-by-step explanation:

Let the linear relation between the two variables  be given by y=mx + c

Now we put the values to get the constants.

58 = 2m + c

52 = 5m + c

solving we get :

52 - 5m = 58 - 2m

or, -6 = 3m

or, m = -2

Now we put those values in the equations

52 = 5m + c

or, 52 = -10 + c

or, c = 62

The equation relating the sunglasses is y + 10x - 62 = 0 .

The angle ratio will be around 252

Jessie has some marbles. The number of marbles he has is more than 50 but less than
100. When the marbles are placed in groups of 10, there is a remainder of 3 and when
they are placed in groups of 6, there is a remainder of 1.

How many marbles does Jessie have?

Answers

Answer:

59 marbles.

Step-by-step explanation:

Let's call the number of marbles Jessie has "x".

We know that:

x > 50

x < 100

x % 10 = 3

x % 6 = 1

We can start by finding the possible values of x that satisfy both x % 10 = 3 and x % 6 = 1.

Starting from x = 53:

x = 53 satisfies x % 10 = 3 but not x % 6 = 1

x = 59 satisfies both x % 10 = 3 and x % 6 = 1

So, Jessie has 59 marbles.

Jessie has 59 marbles

(15m + 20p) + 25q = 15m + (20p + 25q)

What property is this?
Identity Property

Distributive Property

Associative Property

Commutative Property

Answers

commutative property

Step-by-step explanation:

still the same number just fliped around

communicative property

I REALLY NEED A SOLUTION!




please help, I appreciate if you do.


Thanks :)

Answers

Answer:

A solution to what? There is no image?? Could you please explain?

Step-by-step explanation:

Answer:

Step-by-step explanation:

9x3= 27

9x4= 36

9x5 = 45
so you have a lateral surface area of 108
add in the triangle pieces that are 3cm on each side and the triangle rule is 1/2 so it would be 6 on each "wing"
so you would have 27+36+45+12 = 120cm2

The table shows the ratio relationship between the amount of potatoes and butter needed to make his mashed potato recipe. help joey complete the table by filling in the missing values

Answers

Answer:

hi !!

Step-by-step explanation:

you have here a a case of proportionality :

for the potatoes : (2*6)/4= 3 pounds

for the butter : (6*4)/3 = 8 tablespoons

Estimate the total surface area of the Triangular prism represented by the net below

Answers

Answer:

Step-by-step explanation:

it would be c. 116

This is because each rectangle has an area of  36 and there are 3 which equals 108

Also each triangle has an area of 3.9  and there are two so it is 7.8 for both of the triangles

108+15.6 is 115.8

That is approximately 116

That is why its 116

a florist was asked to make a flower arrangement that contains at most 36 roses. the florist has already used 17 roses in the arrangement. which inequality represents all the possible numbers of roses, r, that the florist can still add to the arrangement

Answers

Answer:

r + 17 ≤ 36

Step-by-step explanation:

The inequality that represents all the possible numbers of roses that the florist can still add to the arrangement is:

r + 17 ≤ 36

This means that the total number of roses, including the 17 that have already been used, must be less than or equal to 36. The variable "r" represents the number of additional roses that the florist can add to the arrangement.

This problem stuck out as one of the hardest I've ever had.
C=5/9(F-32)

I'm only 14, so this is hard for me.

Answers

Here’s The Answer With Step By Step Explanation!!!
C= 5/9(F - 32)

Distribute the 5/9

C= 5/9F - (5/9)(32)

C = 5/9F - 17.78

That is the final answer for C. To find F, do this:

C = 5/9F - 17.78

Add 17.78 to both sides


C + 17.78 = 5/9F

Multiply both sides by 9/5 to cancel out the fraction on the left side

9/5C + (9/5)(17.78) = F

F= 9/5C + 32

Hope this helped.

*PLEASE HELP ME SOLVE THIS ASAP

*PLEASE INCLUDE SOLUTION OR EXPLANATION

*I DON'T KNOW IF BRAINY LETS THE HELPER SEND A PICTURE OF THEIR WORK BUT THAT WOULD HELP

edit: hehe i forgot the image, i just posted it


Thank you if you help! :)

Answers

Check the picture below.

so the angle across 4x is her twin, and 3x + x = 4x.

Find the value of x.

Answers

Answer:

x = 36°

Step-by-step explanation:

Sum of angles = 180°

66°+78°+x = 180°

144°+x = 180°

x = 180°-144°

x = 36°

Hope it helps!

Should be 36!

180 is the starting number for all triangles problems like this

180-78-66=36

he average high temperature in July in Moscow is 23°C. One day in July 2010,
the temperature was 14.2° higher than normal. Just four days later, a record high
temperature of 39°C was set. How much higher was the record temperature than the
high temperature four days earlier?


1. What is the hidden question?


2. What is the answer to the hidden question? Show your work.


3. What is the main question?


4. What is the answer to the main question? Show your work.

Answers

Answer:

Below

⬇️

Step-by-step explanation:

1. The hidden question is "What was the high temperature four days earlier?"

2. To find the high temperature four days earlier, we need to subtract 14.2 from the record high temperature of 39°C:

39 - 14.2 = 24.8°C

3. The main question is "How much higher was the record temperature than the high temperature four days earlier?"

4. To find the difference between the record temperature and the high temperature four days earlier, we need to subtract 24.8 from 39:

39 - 24.8 = 14.2°C

So, the record temperature was 14.2°C higher than the high temperature four days earlier.

Which of the following statements are true about the right triangle? Select all that apply.

Answers

Answer:

It is the longest side of a right triangle.

Its length is the sum of the lengths of the other two sides.

c and d are correct answers

Find n
35/49 = 5/n
Heeeeeelp!!!!

Answers

Answer:n=7

Step-by-step explanation:

Answer:

n = 7

Step-by-step explanation:

35/49 = 5/n

1. cross multiply

35*n = 49 *5

35n = 245

n = 245/35

n = 7

find n
6/9 = n/36
Please help me!!!

Answers

Attached please find the answer to your question. Thank you!

PLEASE HELPPP I HAVE TO DO THIS BY TOMORROW


Which student had the greater rate of weekly savings?

1. Fred, because his unit rate of $24.00 per week is greater than Ariel's unit rate of $9.50 per week

2. Ariel, because her unit rate of $1.36 per day is greater than Fred's unit rate of $0.11 per day

3. not enough information to compare Ariel's unit rate to Fred's unit rate

4. Fred, because his unit rate of $24.00 per week is greater than Ariel's unit rate of $18.10 per week

5. Ariel, because her unit rate of $9.50 per week is greater than Fred's unit rate of $8.75 per week

Answers

Answer:

3

Step-by-step explanation:

The question does not give enough information for Fred and Ariel to compare their weekly savings.

How do i do this?
it's too much:(

Answers

Answer: Shown Below

Step-by-step explanation:

Easy, circle the number, then if it is greater than the variable, draw an arrow from the circle to the left. If it is lesser, draw it to the right. If there is a line under the arrow, the circle has to be filled in, otherwise, leave the circle hollow.

Draw a solid circle if it says >_
or just an outline of a circle if it says >

Draw the solid or outline circle on the number it says.

For instance, in number 1 it says
“7 >_ r”

Draw a solid circle (since its >_) on the number 7.

Then draw an arrow to the left of 7 going all the way to zero because 7 is greater than r and we are graphing r.
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