Why is 18:3 and 6:1 equivalent ratios

Answers

Answer 1

Answer:

Because if you multiply 6 three times, it comes out to be 18.

So basically, 6 x 3 = 18

To be sure, 18 ÷ 6 = 3

So, 18:3 = 6:1

Answer 2

18:3 and 6:1 are equivalent ratios because those are equivalent fractions.

What is the ratio?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or   [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Explanation;

If we get the factors of the first ratio, we will see that;

18: 6 and 3, and 18 and 1

3: 3 and 1

Hence, if we display the ratios in fractions;

18/3 = 6/1

And then we write them in factors, we will get;

3x6/3x1 = 6/1

Simplifying;

3/3 x 6/1 = 2/1 x 3/1 = 1/6

Therefore, 18:3 and 6:1 are equivalent ratios.

Learn more about ratio here:

brainly.com/question/186659

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Related Questions

How do you do this question?

Answers

Answer:

convergent

Step-by-step explanation:

the function increases or decreases or as the number of terms of the series increases.

Answer:

Divergent

Step-by-step explanation:

The series can be written as:

∑ 1 / (4n − 1)

We can compare this to 1 / (5n).  1 / (5n) is smaller and diverges (p-series test).  Therefore, the larger function also diverges.

Can u help me asap please

Answers

Answer:

It is for sure a rational # , and whole #, but possibly also a natural#

Step-by-step explanation:

I need HELP class is about to start and I don’t know any of this

Answers

Answer:

I'm not sure, let me work it out.

Step-by-step explanation:

Use the system of equations and graphs below to complete the sentence.

Answers

Answer:

id say graph d solve it out and thats the only thing i got close to

Step-by-step explanation:

Answer:

it's the one in the top right(graph B), the soultion to graph b is (3,-1)

Step-by-step explanation:

Like the other answer says you solve it out, then you look at the intercepts and use the prosses of elimanation.

the top equation is: y= -1/2x -2.5

the bottom equation is: y= -1/5x -0.4

PLEASE HELP URGENT !! (What is the slope of the line on the graph?)

What is the slope of the line on the graph?

Answers

Answer:

2/6

1/3 simplified

Rise over run

choose any two points on the graph and do rise over run

+0
1. Sam has a rope that measures
(5 x 1/10) + (6 x 1/100) + (8 x 1/1000)
How can this measurement be written as a decimal?

Answers

5.068 is the answer to the equation!

Need help I am stuck, I would like to see if my work matches someone else's to check it over.

Answers

Answer:

i think its 45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

I'm pretty sure but sorry if its incorrect.

how to write five hundred eight thousand in standard and expanded form?

Answers

Answer: Standard form would be 508,000 and Expanded form would be 500,000 + 8,000

Step-by-step explanation:

the top angle is angle X, but the question is "which of the following congruence statements is true?
A. none of the above
B. XYZ = XZY
C. XYZ = YXZ
D. XYZ =ZYX​

Answers

You are correct. The answer is choice B.

The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.

Can someone help please

Answers

L = 31
M = 90
N = 59

L + M + N = 180
(3x-5) + 90 + (5x-1) = 180

Combine

8x + 84 = 180
8x = 96
X = 12

Replace X with 12 for N and L

L = (3x -5) = 36 -5 = 31
N = (5x - 1) = 60 - 1 = 59

Consider the equation: x^2+10x-24=0 First, use the " completing the square " process to write this equation in the form ( x+D )^2 = E and enter the results below x^2 + 10x -24 = 0is equivalent to......? = ?

Answers

Answer:

[tex]x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^{2} + 10x - 36=0[/tex]

Step-by-step explanation:

[tex]x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0[/tex]

Select the term that is suggested by the fugure

Answers

Answer:

im pretty sure its line segment if

Step-by-step explanation:

if its not im so sorry!!

A certain shade of green paint is made by mixing blue and yellow paint. The relationship between the number of quarts of blue paint in the mix, xx, and the number of quarts of yellow paint, yy, is represented by the graph below.
What does the ordered pair (2,102,10) indicate?

Answers

Answer:

2 quartz of the blue paint for every 10 quartz of yellow paint

Step-by-step explanation:

The graph shows the possible different amount of yellow paint and blue paint, in quartz, that can be mixed to obtain a shade of green paint.

On the graph, at the point with the coordinates pair of (2, 10), it means for we would require 2 quartz of blue paints to be mixed with every 10 quartz of yellow paint in order to get the shade of the green paint that we are looking for.

Answer: 2 quartz of the blue paint for every 10 quartz of yellow paint

Step-by-step explanation: good luck

help pleaseeeeeeee :$))$$$$

Answers

Answer:6

Step-by-step explanation: I don't really know how to explain this...

Answer:

6

Step-by-step explanation:

hi! absolute value is defined as the number of units away from zero on the number line. distance is always positive, so absolute value is always positive. therefore, the answer is 6 since you just take the negative sign away.

hope this helps!

Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.

Answers

Answer:

The perimeter of the figure is : 22.4 cm

The area of the figure is : 30.2 cm²

Step-by-step explanation:

From the diagram, the figure is a rectangle.

Use the coordinate points to find the lengths of each side.

Side length AD = side length BC

Apply the Pythagoras relationship to find length BC as;

a² + b²= c²   where a=2 cm and b = 4 cm and c =BC

2² + 4² = c²

4+16 = c²

20 = c²

c= √20 = 4.4721

Length BC = Length AD = 4.5 cm

Side length AB = Side length DC

Apply the Pythagoras relationship to find length DC as;

a² + b²= c²   where a=6 cm and b = 3 cm and c =DC

6² + 3² =c²

36 + 9 = c²

45 = c²

√45 = c

c= 6.7082

c = DC = 6.7 cm

Now you have measurements of the rectangle as;

Length = 6.7 cm and width = 4.5 cm

The perimeter will be ;

P= 2{l +w} --------- where l is length and w is width and P is perimeter of the rectangle

P=2{6.7 + 4.5}

P=2{11.2}

P= 22.4 cm

The area will be ;

A= l*w

A= 6.7 * 4.5 = 30.15 = 30.2 cm²

The perimeter of the figure is : 22.4 cm

The area of the figure is : 30.2 cm²

Answer:

its wrong

Step-by-step explanation:

Tim's holds a fishing line at the surface of a lake, and it sinks 10 feet below the surface of the water. Tim then pulls the lure up 4 feet.which of the following statements about this situation are true?select all that apply

Answers

Answer:

Where are the answers to choose from?

Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x

Answers

Answer:

the answer is Y=-x+5

Step-by-step explanation:

What is the solution of 4+ V5x+88 – X+
10?
X = -10
X = 3
X = -10 or x = 3
O no solution

Answers

Answer: no solution

Step-by-step explanation:


Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.

Answers

Answer:

Step-by-step explanation:

A rectangular garden is 10 2/7 feet by 5 4/9 . What is the area of the garden?

Answers

Answer:

50 8/63

Step-by-step explanation:

10*5=50

when multiplying fractions we have to multiply the numerators, then multiply the denominators.

2*4=8

7*9=63

hope this helps =3

sorry if im wrong

Find the measure of the indicated angle.

Answers

Answer:

I believe it could be 25

Step-by-step explanation:

Eight angle = 90

1. 38 + 27 = 65

2. 90 - 65 = 25

I haven't done angles for a long time, but I hope my memories serves well. Sorry if it may be wrong, but this is what I remember from doing angles in Year 7

What is the volume of a cube that measures 3.5 inches on each edge?
72.5 in
35 in?
none of these
42.9 in

Answers

Answer:

42.9 in

Step-by-step explanation:

Volume of a cube = side cubed

V = (3.5)^3

V = 42.875

use point slope form to write an equation of the line with the given slope that passes through the given point.

Answers

Answer:

A. y - 0 = 2 ( x + 2 )

Step-by-step explanation:

First you have to isolate y, by using A, the 0 can simply be forgotten about. Next, you must expand the equation, thus with 2 ( x + 2 ), it expands to:

y = 2x + 4

With this in mind, the b value is 4, and with a slope of 2, you can see that the equation eventually crosses the y-axis at 4.


Evaluate:

54 - 75 + 81 - (-27) + 53

Answers

Answer:

140

Step-by-step explanation:

Answer:

140.

Step-by-step explanation:

PEMDAS.

Since there isn't any problems that aren't adding, we can just do it step by step.

54 - 75.

-21.

Add 81.

60.

Subtract -27.

87.

Add 53.

140.

Brainiest?

3+ a equals 17 when a equals four is this given value a solution of the equation or an quality?

Answers

mnbvcxAnswer:

Step-by-step explanation:dfghjmjnhgf

In the triangle below, what is the length of the side opposite the 60° angle?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 sqrt3

Step-by-step explanation:

AP3X

why do u not regroup any tens into hundreds? pls i need help

Answers

Answer:

You dont regroup any tens into hundreds depended on what Number you have and if your adding and subtracting if you have 375 - 38 then you’ll regroup.

Step-by-step explanation:

Someone answer number 10.(Both parts please.)

Answers

x= 43


Angles Measures:


Top right: 86


Bottom right: 51



Bottom left: 43

which one is the coldest​ AMD why

Answers

Answer:

Raleigh.

Step-by-step explanation:

Just look for the Fahrenheit with the smallest number.

Answer:Raleigh

Step-by-step explanation:Your going to go for the smallest and I just took the quiz

Denise spent $56.48 at the grocery store while Michael spent $74.06. How much more money did Michael spendthan Denise?A.$17.58B.$37.03C.$65.27D.$130.54

Answers

We will use the equation 74.06-56.48=? To find the change in prices, aka how much more money was spent. That equals 17.58. So A, Michael spent $17.58 more than Denise.

Answer:

A 17.58

Step-by-step explanation:

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