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:

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Step-by-step explanation:

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Answer:

convergent

Step-by-step explanation:

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

Answer:

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Step-by-step explanation:

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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.

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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

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Answers

Answer:

Raleigh.

Step-by-step explanation:

Just look for the Fahrenheit with the smallest number.

Answer:Raleigh

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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.

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

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Answers

Answer:

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1/3 simplified

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

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Answer:

Where are the answers to choose from?

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Answers

x= 43


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Bottom right: 51



Bottom left: 43

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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.

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N = 59

L + M + N = 180
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I need HELP class is about to start and I don’t know any of this

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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

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Answers

Answer:

I believe it could be 25

Step-by-step explanation:

Eight angle = 90

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Finding the Equation of a Line
You have discovered another alien.
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Answers

Answer:

the answer is Y=-x+5

Step-by-step explanation:

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.

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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

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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

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P=2{11.2}

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The area will be ;

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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:

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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:

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:

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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]


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?

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:

What is the volume of a cube that measures 3.5 inches on each edge?
72.5 in
35 in?
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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

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