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.

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Related Questions

Ceftriaxone 125 mg IM. If I use 1 g/9.6 mL to fill the order, how many mL will I need

Answers

Answer: omg I- I tried but got nothing I’m sorry

Step-by-step explanation:

Can you help me i will give you a branlist please

Answers

It is 3120 in total hope this helps

What is the converse of the conditional statement?
If x is even, then x + 1 is odd.

A. If x is not even, then x + 1 is not odd.
B. lf x + 1 is odd, then x is even.
C. If x + 1 is not odd, then x is not even.
D. If x is even, then x + 1 is not odd.

Answers

Answer:

If x+1 is odd, then x is even B

Step-by-step explanation:

Conditional: If p, then q

Converse: If q, then p

p= x being even

q, x+1 being odd.

Solve the system of equations 2x-4y=-2 and -x+8y=-23 by combining the equations.

Answers

Answer:

(−9,−4)

Step-by-step explanation:

Sally wants to start a small business. She plans to sell snack packs by re-packing cookies and coffee sachets. Cookies come in packs of 10, while 3-in-1 coffee sachets come in packs of 12.
What is the smallest number of packs for each item should Sally buy if she wants to have packs with 1 cookie and 1 coffee sachet?

Answers

Answer: She needs 6 packs of cookies and  5 packs of coffee sachets.

Step-by-step explanation:

Cookies: come in packs of 10

Coffee sachets: come in packs of 12.

Sally wants to sell them in groups of 1 cookie and 1 coffee sachet, then we need to find a common multiple of 10 and 12. (the smallest one in this case).

To find the smallest common multiple, first let's find the largest common factor between 10 and 12.

If we write the numbers as a product of prime numbers, we have:

10 = 2*5

12 = 2*3*3

The only common factor is 2.

Then the smallest common multiple between 10 and 12 is equal to the product of 10 and 12 divided by the largest common factor between them, in this case is 2.

M = 10*12/6 = 60

Now to find the number of packages of each thing that she must buy, we need to divide 60 by the number of elements in each pack.

Cookies: 10 per pack

60/10 = 6

She needs 6 packs of cookies

Coffe: 12 per pack

60/12= 5

She needs 5 packs of coffee sachets.

Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:

Answers

Answer:

Money = (1500)e^(0.06t)

t = num of months

Money = Money at end of that tiem period

6500 common math maybe do your work right

4 A photographer enlarges a picture to
hang on the wall. The original picture is
5 inches long and 4 wide. The new
picture is 22 inches long and 17.6 inches
wide. What scale factor did the
photographer use?
I

Answers

Answer:

He enlarged the photo by 4.4 times than the original size.

Step-by-step explanation:

22/5=4.4

4.4*4=17.6

4.4*5=22

Help math hv 30 minutes

Answers

Answer:

8 milk cartons and 4 dollars

Answer:

It's 8 milk cartons and 4 dollars/Price

What is the correct answer? please

Answers

Is there choices for your question

Multiply. Write the answer in simplest form.
5/6 x 2/9

Answers

Answer:

5/27

Step-by-step explanation:

Create and solve a quadratic equation that has 1 real solution

Answers

Answer:

x^2 - 4x + 4 = 0

x = 2

Step-by-step explanation:

(x - 2)(x - 2) = 0

x^2 - 2x - 2x + 4 = 0

x^2 - 4x + 4 = 0

The equation is:

x^2 - 4x + 4 = 0

It is a quadratic equation because of the x^2 term.

Now we solve it by factoring.

x^2 - 4x + 4 = 0

(x - 2)(x - 2) = 0

x - 2 = 0 or x - 2 = 0

x = 2 or x = 2

The only solution is x = 2.

James enjoys spending money at the hardware store. He bought a wrench for $9.14, a nail gun for $54.48, and a pound of nails for $6.98. How much change did James get if he paid with a hundred-dollar bill? *​

Answers

Answer:

$29.40

Step-by-step explanation:

29.40 dollars as 100 - the sum of the cost = 29.4

Let xy=6 and x2 + y2 = 23 what is the value of (x+y)^2?
[Hint expand out (x+y)^2?]

Answers

Answer:

[tex](x + y) {}^{2} \\ = x {}^{2} + 2xy + y {}^{2} \\ = x {}^{2} + y {}^{2} + 2xy \\ = 23 + 2 \times 6 \\ = 23 + 12 \\ = 35 \\ \\ therefore \: the \: value \: \\ of \: (x + y) {}^{2} is \: 35.[/tex]

35 is the correct answer.....Hopes to get BRAINLIEST......

Thank you ☺️

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

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two  is,

Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1

The equation of the line can be written as,

y = -1x + C

substitute any one of the point in the equation,

0 = -1(5) + C

0 = -5 + C

C = 5

Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.

Learn more about Equation of Line:

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Four friends paid
for entrance to a
boil for $8 each.
They shared 2
bloody mary's that
were $6 each.
The expression:
(4 x 8 + 2 x 6) = 4
gives each
friend's share of
the cost.

Answers

Answer:

what question?

Step-by-step explanation:

there s nota a questoin

I have no doors but I have keys, I have no rooms but I do have a space, you can enter but you can never leave. What am I?

Answers

Is it a computer keyboard?

Mike is 46 years old. He is 4 years older than three times his son, Jared's age. Find Jared's age.

Answers

you just divide 46 divided by 4 and ur answer is 11.5

Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.

Answers

Answer:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

Step-by-step explanation:

write an equation to solve for x what is the value of x will mark brainious this is very confusing for me​

Answers

Answer:

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180x = 20

Step-by-step explanation:

add all internal angles

∠H + ∠I + ∠J = 180

where:

∠H = 3x - 2

∠I = 4x - 9

∠J = 3x - 9

plugin the values into the ∠H + ∠I + ∠J = 180 formula:

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180

combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9

simplify: 10x = 200

divide 10 both sides: x = 20

The formula for converting miles into feet is F=5280m. If m=3, evaluate to find F, the number of feet in 3 miles​

Answers

Answer:

15,840?

Step-by-step explanation:

if f=5280m and m=3 then 5280x3= 15,840

Good luck!

If the snow is falling at a rate of 1 2/3 inches per hour, how many hours will it take to snow 12 inches?

Answers

Answer:

It'll take 7.2 hours

Step-by-step explanation:

(5/3)in       12in

---------  x  --------

 1 hr          x hr

Cross multiply and you get

(5/3)x = 12

Then you divide 12 by (5/3) and you get that x = 7.2 hrs

Answer:

7.2 hours

Step-by-step explanation:

1 2/3 inches per hour = 5/3 inches per hour

12 inches = 36/3 inches

(36/3) / (5/3)

(36/3) x (3/5)

108/15

7.2 hours


What is the Slope of the line

Answers

Answer:

[tex]m=\frac{-3}{4}[/tex]

Step-by-step explanation:

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

Simply plug in 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-4-(-1)}{5-1}[/tex]

[tex]m=\frac{-4+1}{4}[/tex]

[tex]m=\frac{-3}{4}[/tex]

Ellie drove 13 miles in 2/5 hours. if she drove at a constant rate, how fair did she travel in one hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answers

Answer:i think its 3.25 miles

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

13÷2.5=5.2

Sienna earns $108 for working 9 hours. Ted earns $77 for working 7 hours. Colby earns $92
for working 8 hours. Jennifer earns $115 for working 10 hours. Who has the highest hourly
wage?

Answers

Answer:

Sienna

Step-by-step explanation:

What is the probability of getting orange
or blue and a multiple of 3?

Answers

Answer:

the answer is 1/2 because of the multiple of 3

evaluate the expression 81-8^2

Answers

Answer:

17

Step-by-step explanation:

Do the exponent first, then subratct it to 81

Answer:

thats easy 17

Step-by-step explanation:

Can someone help ? ASAP thanks

Answers

Answer:

2,5 then 17 20 then keep adding 15 for x and y

IA:B 7:8 an B:C 12:7 find A C in its simplest form.
b. 3:2
C. 19:6
a. 2:3
d. 4:5​

Answers

Answer:

3:2

Step-by-step explanation:

A:B 7:8 an B:C 12:7 find A C in its simplest form.

ans;

3:2

Determine the degree of the polynomial.
8a9 – 2a + 1

Answers

Answer:

Determine the degree of the polynomial.

8a9 – 2a + 1

Step-by-step explanation:

8a9 – 2a + 1

help me please
*I select an answer, but I don't know if it's right or wrong*​

Answers

Answer:

yes your answer it right.... brainliest plsss

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