Are the ratios equivalent? 2/3 and 8/12 Explain.

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.

Answer 2

If two ratios are equal then the ratios are said to be in proportion and equivalent.

The ratios 2/3 and 8/12 are equivalent.

The simplest form of both ratios is 2/3.

What is a ratio?

The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.

We have,

Two ratios:

2/3 and 8/12

We will make the ratios in their simplest form:

2/3 is in the simplest form.

8/12 = 4x2/4x3 = 2/3 is the simplest form.

We see that both the ratios are equal so the ratios 2/3 and 8/12 are in proportion.

Thus,

The ratios 2/3 and 8/12 are equivalent.

The simplest form of both ratios is 2/3.

Learn more about ratios here:

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Related Questions

How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?

Answers

67 miles i believe should be right

4. Solve for :
a) ķx = 4

Answers

factors of 4= 4,1 and 2,2 seeing as k and x are different numbers it must be 4 and 1 or -4 and -1

Susan rides her bicycle 5 miles in 1/4 of an hour. At this rate, how many miles could she ride in 2 hours?

Answers

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

rachelle can walk 2.5 miles in 40 minutes. at this rate how far
can she walk in an hour

Answers

Answer:

She could walk 3.75 miles in an hour.

Cassie has a rectangular window that is 40 Inches long and 25 inches wide. She wants to put a metal frame around the edges of her window. How many inches of metal frame will she need? Please help me​

Answers

Answer:

she will need 130 inches lf metal

Step-by-step explanation:

One side lf the window is 40 and the other side lf the window is 25 ,so just multiply those by 2.That will give you 50 and 80 just add those together and you get 130

plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .

What is JM ?

Answers

Answer:

125 i think....

Step-by-step explanation:

Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18

Answers

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

Solve for s. 7 - 45 = -3s ​

Answers

Answer:

12.7=s

Step-by-step explanation:

First, write the equation and combine like terms.

7-45=-3s

-38=-3s

Next, divide both sides by 3.

-38=-3s

/-3  /-3

12.7=s (I rounded the answer.)

Hope this helps! Have a great day C:

John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?

Answers

Answer:

Maximum distance covered by John = 22.8 miles

Step-by-step explanation:

The cab company charges a flat fee of $2.25 plus $0.55 per mile.

Amount of money John has = $y

Let the number of miles traveled in $y = x miles

If John finds a cab charging same fee and $0.45 per mile,

y ≤ 2.25 + 0.45x

y - 2.25 ≤ 0.45x

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

Therefore, inequality representing the maximum distance covered by John,

[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]

If, y = $12.52

[tex]x\leq \frac{(12.52-2.25)}{0.45}[/tex]

x ≤ 22.8 miles

Therefore, John will be able to travel the maximum distance = 22.8 miles.

Answer:

x ≤ 22.8 miles

John will be able to travel the maximum distance of 22.8 miles.

Step-by-step explanation:

I hope this helps

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

An ornament shaped like a sphere has a radius of 2.3 inches which measurement is closest to the volume of the ornament in cubic inches

Answers

Answer:

50.97in^3

Step-by-step explanation:

Volume of a sphere

The expression for the volume of a sphere is given as

V=4/3πr^3

Given that the radius is 2.3in

Substitute r= 2.3 in the expression to find the volume of the sphere

V=4/3*3.142*(2.3)^3

V=4/3*3.142*(12.167)

V=4/3*38.23

V=152.9/3

V=50.97in^3

Therefore the volume of the ornament is 50.97in^3

The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?

please help me it’s due in 30 minutes!!

Answers

Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

learn more about congruency here :

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6>>>>>>>(3 3 )
4>>>>>>>( 1 2 )
3>>>>>>>( 1 4 )
5>>>>≥>>( 2 9 )
1>>>>>>>( ? )
7>>>>>>>( 5 4 )
Who will solve the above puzzle ?​

Answers

If I calculated correcty hdnnzsunssbvsbanaj?;?$;:hdmnduzvehev that is your answer

U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:)

Answers

Answer:

The mean is 15 pages a day.

Step-by-step explanation:

105/7=15


4x2 - 9y2 – 20x + 25

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y

.

(2x−5+3y)(2x−5−3y)

Step-by-step explanation:

hope this helps

If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.

PLEASE SOMEONE HELP ME!!!!!!

Answers

Answer:

It cant

Step-by-step explanation:

car use gas at differnt rates

It can’t
Cars use gas at different rates

Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

y - y₁ = m(x - x₁)

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

read more: https://brainly.com/question/19478605?referrer=searchResults

(-9) - (-37) =

A -29

B -40

C 28

Answers

Answer:c: 28

Step-by-step explanation:

C is 28 for the answer

A clothing business finds there is a linear relationship between the number of shirts n it can sell and the price P it can charge per shirt. In particular historical data shows that 2 thousand shirts can be sold at a price of 80 dollars each, and that 5 thousand shirts can be sold at a price of 65 each

Answers

Answer:

We have two data points:

2000 shirts can be sold for $80 each.

5,000 shirts can be sold for $65 each.

Then we can define the relation:

P(n).

Where P is the price, and n is the number of shirts.

Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, the slope is:

a = ($65 - $80)/(5000 - 2000) = -$0.005.

Then our equation is:

P(n) = -$0.005*n + b

Now let's find the value of b, we know that:

P(2000) = $80 = -$0.005*2000 + b

                 $80 = -$10 + b

                  $80 + $10 = b = $90

Our equation is:

P(n) = -$0.005*n + $90.

My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?


1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x

2. Identify the independent and dependent quantity.

3. The domain and range are represented as discrete or continuous?

4.What is a reasonable domain and range for this scenario?


Thanks for the help!

Answers

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

-1/4 multiplied by 1 1/2

Answers

Answer:

[tex]-0.375[/tex]

For more help, take a look at this chart.

NEED HELP PLZ! Will give brainliest, show all your work

Answers

6 bracelets and 3 necklaces = 108 in

he wouldn’t be able to use the full amount of cord so those are the most he could make

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

CAN SOMEONE HELP ME PLS !!! RIGHT ANSWERS ONLY PLS <333

Answers

Answer:

90*

Step-by-step explanation:

because a 90 degree rotation is to the right on its side

Answer:

90 degees is right

Step-by-step explanation:

I checked

Solve for h(x)=x(x+3)(x-2)

Answers

Answer:

Your answer is:

If you are solving to find x then your answer would have been: x = 0 , -3 , 2

If you are solving to find the x and y intercepts your answer is: ↓

x-intercept(s):  (0,0) (-3,0) (2,0)

y-intercept(s): (0,0)

If you are solving to find roots your answer is: x = 0 , -3 , 2

If you want the graph look below ↓

Step-by-step explanation:

Hope this helped : )

Riley is training to run in a 5-kilometer road race. She would like to

reduce her race time by 15 seconds each month that she trains.

The race is in 3 months. What is the total change in time that Riley

hopes to achieve?

1. What integer represents the change in race time Riley wants to

achieve each month?

2. What integer represents the number of months she will train?

3. Write a multiplication expression that can be used to find the total

change in time.

4. Complete the number line to find the product.

-15

--50-45-40-35-30-25-20-15 -10 -5

0

5. What is the total change in race time that Riley hopes to achieve?

Explain what this change represents in the situation.

Answers

Answer:

1. -15

2. 3

3. -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

please help, i need it done soon

Answers

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

−15 ÷ 5 =


A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.

Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.

Answers

Answer:

-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3

Answer:

The answer is A,C,D

Step-by-step explanation:

Just had the question :D

12. Which of the following numbers is largest?
(a) 1.099
(b) 1.11
©). 1.106
(d) 0.99
(e) 1.009
Please show the work

Answers

I think the answer is B

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

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