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

#SPJ6


Related Questions

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

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:

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 probability of getting orange
or blue and a multiple of 3?

Answers

Answer:

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

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.

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!

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

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

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

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

Can someone help ? ASAP thanks

Answers

Answer:

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

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

Answers

Answer:

5/27

Step-by-step explanation:

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 ☺️

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:

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

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

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

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:

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

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?

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.

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:

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

Answers

Answer:

(−9,−4)

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.

Can you help me i will give you a branlist please

Answers

It is 3120 in total hope this helps


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]

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:

https://brainly.com/question/21511618

#SPJ1

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

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

Other Questions
In direct variation, the constant of variation has the samevalue as which of the following.A. The y-intercept of its lineB. The X - intercept of its lineC. The slope of the lineD. The absolute value of the slopeof the line - WHATS THE NEGATIVE SLOPE??- FIND MS SLOPE PLEASEEESWEEEEEEEEEEE Evidence for colonists going to war 2. Which country were colonists only allowed to trade with?A. BritainB. FranceC. Germany What do the pancreas, liver, salivary glands, and gall bladder have in common?They are all involved in mechanical digestion.They are all accessory structures.They all digest carbohydrates.They all release digestive enzymes. HELPS MEEEEEEEEEEEEE!!!!!!!!!!!!!Conduction is ______________. A. When particles transfer energy by touching. B. None of these C. When the sun warms an object. D. The flow between warm and cool sections of a fluid. Obviously, the lifetime membership isnt a good deal if you only remain a member for a couple of years, but if you remain a member for 40 years, its a great deal. Suppose that the appropriate annual interest rate is 7.9%. What is the minimum number of years that Lloyd must remain a member of the ADLA so that the lifetime membership is cheaper (on a present value basis) than paying $750 in annual membership dues? (Note: Round your answer up to the nearest year.) Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount? Saint Augustine maintained that human beings were given free will by God and thus are responsible for their sins. At the same time, he said that God, being all-knowing, must see in advance everything people are going to do. How did he reconcile these two apparently opposing ideas? Do you think he succeeded? I need help with this please! The components of blood can be separated by spinning them at high speed.Figure I shows a tube of blood that has been separated in this way.Figure 1substance Xwhite blood cells and plateletsred blood cells- Identify the substance labelled X. energy needed to get a reaction started is called ? What is the difference between a direct democracy and a republic? I suck at social studies Can anybody help me with this please From a ledge on rock wall, George climbs 30 feet. From there, he climbs-30 feet. What conclusion can you draw? Which structures are not found in simple leaves? Which expression is equivalent to sin(1.8x) sin(0.5x) Members of the common school movement believed thatall children should have to attend school.schools should be run by the federal government.parents should have to pay for their childrens schooling.school attendance should be optional but available to all. When using correct ergonomic technique be sure to _____.(A.)Position your wrists so they are angle up while typing.(B.)Keep your arms comfortable at your side forming a 90 angle with your upper arms.(C.)Position the keyboard three feet in front of you so that you stretch for the keys.(D.)Adjust the keyboard height so that your shoulders are stiff and your arms are away from your sides. Sworn officers may be required to carryA. handcuffsB. a weaponC. copies of the ConstitutionD. flashlights