a. Show that the ratios 10/20 and 30/60 form a proportion by finding a common multiplayer. b. in part (a) are equal by writing them in simplest form.

Answers

Answer 1

Final answer:

The ratios 10/20 and 30/60 both simplify to 1/2, showing they form a proportion as they equal the same value when reduced to simplest form.

Explanation:

Proportion is a mathematical concept where two ratios are equivalent.

For example, the ratios 10/20 and 30/60 form a proportion.

We can show this by finding a common multiplier and simplifying the ratios.

10/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10.

This yields:

10 ÷ 10 = 1 and 20 ÷ 10 = 2. So, 10/20 simplifies to 1/2.

Similarly, 30/60 can be simplified by dividing both the numerator and denominator by 30, resulting in:

30 ÷ 30 = 1 and 60 ÷ 30 = 2. This simplifies to 1/2, the same as the first ratio.

Since both ratios simplify to 1/2, we can say that 10/20 and 30/60 form a proportion because they both equal the same value when reduced to simplest form.

Related Questions

Sam will buy apples that cost $0.89 per pound. The total cost of the apples is proportional to the number of pounds he buys. Write an equation to model the situation . Let c = total cost and n = number of pounds.

Answers

If c= the cost and n=number of pounds then

c=0.89n

would be the correct answer because the cost is determined by the amount of pounds of apples Sam buys.

Sara has to pay $10.75 a month for gym membership but will be billed yearly.how much will she pay in 5 1/2 years.

Answers

If it's 10.75 for one month, and there are 66 months in 5 and a half years, 10.75 x 66 = $907.50

$10.75 a month x 66 months = $709.50

an animal shelter currently only has 30 dogs and 20 cats what is the ratio of cats to animals

Answers

There are 50 animals total, so the ratio is 20/50. you probably need to simplify it, so divide the top and bottom by 10, making it 2/5.

the answer is 2/5

20:50 will equal to 2:5

Hope I'm the brainliest for this question!

64 video game ; 25% discount

Answers

64 divided by 4 is 16. The answer is 16 I believe!

Edit: I realized you were asking for the cost. That would be 48. 64 - 16 = 48.

i hope this helps you 64.25/100 64.1/4 16 64-16=48

Pint 16oz $3.98
Quart 32 oz 5.98
What is the unit rate to the nearest cent per ounce for each size?

Answers

Okay, so when dealing with unit rates you want to see how much you have of your main measurement. In this case your main measurement is ounces. Since you have 16 and 32 you are going to divide your dollar amount by those and round to the nearest tenth.
Here are the equations that need to be used. Figure out the answers to them and round. This will give you your answer
3.98/16=
5.98/32=

The graph represents Jason's speed on a recent trip. For which time period is his rate of change negative?
A) between 0 and 5 minutes
B) between 5 and 10 minutes
C) between 10 and 20 minutes
D) between 20 and 25 minutes
Thankyou soooo much!!

Answers

The answer is D. It is D because you can see a decrease in the line.

Hope this helped!

Comment if you have questions!

The answer is D.
The rate of change is negative when the line move down as it move right.

a linear equation inn two different unknowns x and y is called a system of equation true or false

Answers

A system of equations describes a set of two (or more) equations in which there are different variables depending on how many equations there are.
For example, a system of equations would be
y = 2x + 3
2y = x + 1
I would say true.

This is false. ONE equation in two variables is not a system.

Solve the equation:
X+7/8=4

A. X= 4 7/8

B.X= 3 1/8

C.X= - 3 1/8

D. X= - 4 7/8

Answers

answer B.X= 3 1/8

X+7/8=4
x = 4 - 7/8
x =3 8/8 - 7/8
x = 3 1/8

x+7/8 = 4

We want to get the X by itself. So subtract 7/8 from both sides.

x + 7/8 - 7/8 = 4 - 7/8

Now do the math!

x = 4 - 7/8

Mia has n pairs of earrings. She receives 3 more pairs of earrings. Which expression represents the number of earrings Mia has now? A. n−3 B. 3n C. 3n+3 D. n+3

Answers

Answer:

x= -3e

Step-by-step explanation:

Help Fast!!!WILL GIVE BRAINLIEST
1 It takes Pam 45 minutes to drive to work and 60 minutes to drive home from work. Write the ratio of
the time Pam spends driving home from work to the time she spends driving to work in three different
ways

Answers

45:60 and 60:45 but then I am stuck. I only know 2 ways
Does this help at least a little?

A ratio can be expressed as a:b or a/b.

We know that Pam spends 45 minutes going to work and 60 minutes when go to home from work. And we are told to write the ratio of minutes spent on driving from home to work to minutes spent on driving to home from work.

Going to work => 45
Going back to home => 60

Easy. 45:60 or 45/60. Now like a fraction, we must simplify. Find two numbers that will evenly divide into both top and bottom.

15 should do.

45/60 / 15/15 = 3/4

So, the ratio is 3:4 or if you want in a fraction form, 3/4.

dimensions definition

Answers

Marie has a small copy of Rene margrittes famous painting. The Schoolmasters. Her copy has dimensions of 2 inches by 1.5 inches. The scale of her copy is 1 inch:40 cm What is the dimensions of the original painting?

Every 1 inch on her copy is the same as 40 cm on the original.
You just have to multiply by 40 and convert to centimetres.

2 x 40 = 80
1.5 x 40 = 60

So the original painting is:
80cm by 60cm

Final answer:

Dimensions in physics are the measurable extents that define an object or quantity, such as length for one-dimensional measures and volume for three-dimensional space. Length is typically measured in meters, while volume is a product of lengths and measured in cubic meters. Dimensional analysis is used for unit conversion and to ensure equations are dimensionally consistent.

Explanation:

The term dimensions in the context of physics refers to the measurable extents of any object or physical quantity, which are necessary for defining that quantity. Length is a one-dimensional measure, representing the extent of an object along its greatest dimension, typically measured in meters or its derived units such as kilometers (km) or micrometers (μm). On the other hand, volume is a three-dimensional measure of the space occupied by a sample of matter, represented as the product of lengths in each dimension and has the dimension L3. Dimensional analysis is a method in physics for converting between units using conversion factors to ensure that equations and calculations are dimensionally consistent. Physical quantities must align in dimension in any mathematically correct equation, otherwise known as having dimensional consistency, meaning each term within an equation must have the same dimensional expression.

Jill collects stamps. her stamp book has space for 64 stamps she needs 18 more stamps to fill the book how many stamps does Jill have now

Answers

You need to subtract, but Jill has 46 stamps

Final answer:

Using subtraction, we determined that Jill currently has 46 stamps in her stamp book by subtracting the 18 stamps she needs to fill it from the total stamp book capacity of 64.

Explanation:

Jill's stamp collection problem is a simple subtraction problem in mathematics. To find out how many stamps Jill currently has, we subtract the number of stamps she needs to fill the book from the total capacity of the stamp book. If the stamp book has space for 64 stamps and she needs 18 more stamps to fill the book, we can calculate the number of stamps she currently has by doing the following calculation:

Total stamps space - Stamps needed = Stamps Jill has

64 - 18 = 46 stamps

Therefore, Jill currently has 46 stamps.

The length of a rectangular room is 7 less than three times the width,w, of the room. Write a simplified expression to represent the perimeter and a simplified expression to represent the area of the room.

Answers

I hope this helps you

Does it matter what two factors you select to complete a factor tree? And tell me how you knew

Answers

No, just keep factoring until you cannot factor any further.

example:

90
.^
9*10
^....^
3*3*2*5

I could also start with 15*6, 3*30 or whatever. but the final answer will still be
2*3*3*5 = 2*3^2*5.

No. as long as you factor out until you get to numbers that can't be factored you're fine. For example if you're factoring out 36 you can start with 18 and 2 or 12 and 3 or 4 and 9 and still end up with the factorization of 2•2•3•3

The sum of two numbers is 144 and the difference is 81. What are the two numbers?

Answers

a + b = 144
a - b = 81
-----------------add
2a = 225
a = 225/2
a = 112.50

a - b = 81
112.50 - b= 81
-b = 81 - 112.50
-b = -31.50
b = 31.50

so ur numbers are : 112.50 and 31.50

How to express 24.357 in unit form

Answers

(2 × 10) + (4 × 1) + (3 × 1/10) + (5 × 1/100) +
(7 × 1/1000)

Please help:
The formula for the volume of a rectangular solid is V=bh. A packaging crate has a height of 4.5 Inches and a base area of 18.2 Square Inches. What is the volume of the crate in cubic Inches?

Answers

36.9. Just input the number in the equation and you get 4.5x18.2=36.9 as the volume

elizabeth uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of trail mix. If each serving contains the same amount of trail mix, how much trail mix is in each servings?
Please show work. Thank you

Answers

23.25+10.5=33.75
33.75/15=2.25
2.25
hope it helps

is 3x-5+y=2y-4 linear if so write the equation in standard form and give the values of A B and C

Answers

Equation in standard form:
Ax+By=C

We have:
3x-5+y=2y-4
3x+y-2y=-4+5
3x-y=1

Therefore:
A=3
B=-1
C=1

Answer: the equation in standard form would be: 3x-y=1; and the values of A, B and C would be: A=3; B=-1 and C=1.

Final answer:

The given equation is linear and can be written in standard form as 3x - y = 1, where the coefficients are A = 3, B = -1, and C = 1.

Explanation:

The equation 3x - 5 + y = 2y - 4 is indeed linear. To write it in standard form, we combine like terms and move all terms involving variables to one side of the equation and the constant terms to the other side. Subtracting y from both sides and adding 5 we get 3x - y = 1. Here, A is 3, B is -1, and C is 1.

How do you answer
#5.

Answers

umm this might be wrong, but i think you have do the inverse, which would make -4 positive, then add that to the 2, and then subtract that from 0.6 and then whatever you answer you get is equal to the variable z.

using your knowledge of the causes and effects of global climate change (i.e. global warming), express two ways we ca help reduce the rate of this global warming trend.

Answers

Cows,
turning off lights/walking not driving does next to nothing
it's up to the CEOs of these companies and the factory farming to reduce the issue

A baker was going to arrange 432 deserts into rows of 28 the baker divides 432 by 28 and gets a quotient of 15 with a remainder of 12 explain what the quotient and remainder represent

Answers

The quotient represents the number of desserts in each row. The remainder represents the spare desserts after all 28 rows of 15 desserts.

Find the circumference of the circle. Use 3.14 or 22/7 for π (pi). Round to the nearest hundredth, if necessary.

Answers

The circumference of the circle is 351.68 cm.

Circumference:

The circumference of a circle is the perimeter of the circle. The formula for the circumference of a circle can be represented as follows;

c = 2πr

where

r = radius

Therefore,

c = 2πr

r = 56 cm

c = 2 × 3.14 × 56

c = 351.68 cm

Therefore, the circumference of the circle is 351.68 cm.

learn more on circumference here: https://brainly.com/question/16500006

Mixed numbers from 3 to 7 with an interval of 1/3

Answers

4 1/3 there you go hope I helped

4 1/3 is the answer you need

There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall?
So the problem is p___853
A. <
B. >
C. underlined <
D. underlined >

Answers

The answer would be a, there would have to be less than 853 people to be NO MORE THAN the 853 person limit. It's saying p, people, has to be less than 853. And it can't be more or equal too, since it has to be NO MORE THAN

Answer:

less because cant be more than u know 835

Step-by-step explanation:

btw p stand for people

Factor completely 81a^2+36a+4

Answers

(9a+2)(9a+2) or, (9a+2)^2

The answer is (9a+2)(9a+2) or you can write it like the picture

Combine like terms to simplify the expression:
1.3b+7.8−3.2b

Answers

that'd be
1.3b -3.2b +7.8
-1.9b + 7.8
that's the simplification
don't forget to make my answer the brainliest if it's correct

What is 10 1/2 as a improper fraction

Answers

Your answer would be 21/2. Hope this helps!

The mixed fraction [tex]10 \dfrac{1}{2}[/tex] can be represented in the form of improper fraction as 21/2.

Given mixed fraction:[tex]10 \dfrac{1}{2}[/tex]

Now, to convert the mixed number 10 1/2 to an improper fraction, to multiply the whole number part (10) by the denominator of the fraction (2) and then add the numerator (1).

So, the numerator is

= (2 x 10+ 1)

= 20 +1

= 21

and, the denominator remains the same.

So, 10 1/2 as an improper fraction is 21/2.

Learn more about Improper fraction here:

https://brainly.com/question/21449807

#SPJ6

Jack and jill painted one-half of Their bedroom in three-fourths of an hour. At this rate, how long would it take them the paint the entire room

Answers

Well they painted HALF the room in 3/4 of an hour.

That means that, considering they keep up the same speed, it will take them 3/4 of an hour to do the OTHER half.

This means that it will take them....

1 and 1/2 hours to do their entire room.

So if they painted 1/2 of the room in 3/4 of an hour ( 45 minutes ) then it would take them another 45 minutes to paint the other half of the room. So 45+45= 90. So 90 minutes, or an hour and a half. Hope this helped! :)

On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?

Answers

At the most he can have 4 playlists. Each playlist will have 10 upbeat songs, and 3 sad songs.

Answer:

Yes, the answer is 4 playlist

Step-by-step explanation:

12 and 40 need to be divided, and get an answer like this 3 not this 5.3. The Maximum, means most.

2 can you?

3 can you?

10 can you?

Hope this helps!

Have a nice rest of your day! :)

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