1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
torisob [31]
2 years ago
14

Comparing the two ratios 2/4 and 1/2 2/4 is larger

Mathematics
1 answer:
kumpel [21]2 years ago
4 0

Answer:

<em><u>3.5 : 7 > 1.2 : 2.5.</u></em>

Step-by-step explanation:

1. Compare the ratios 4 : 5 and 2 : 3.

Solution:

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.

2. Compare the ratios 5 : 6 and 7 : 9.

Solution:

Express the given ratios as fraction

5 : 6 = 5/6 and 7 : 9 =7/9

Now find the L.C.M (least common multiple) of 6 and 9

The L.C.M (least common multiple) of 6 and 9 is 18.

Making the denominator of each fraction equal to 18, we have

5/6 = (5 ×3)/(6 ×3) = 15/18 and 7/9 = (7 ×2)/(9 ×2) = 14/18

Clearly, 15 > 14

Now, 15/18 > 14/18

Therefore, 5 : 6 > 7 : 9.

3. Compare the ratios 1.2 : 2.5 and 3.5 : 7.

Solution:

1.2 : 2.5 = 1.2/2.5 and 3.5 : 7 =3.5/7

1.2/2.5 = (1.2 ×10)/(2.5 ×10 ) = 12/25 and 3.5/7 = (3.5 ×10)/(7 ×10) = 35/70 = 1/2

[We removed the decimal point from the ratios now, we will compare the ratio]

Now find the L.C.M (least common multiple) of 25 and 2

The L.C.M (least common multiple) of 25 and 2 is 50.

Making the denominator of each fraction equal to 50, we have

= 12/25 = (12 ×2)/(25 ×2) = 24/50 and 1/2 = (1 ×25)/(2 ×25) = 25/50

Now, 25/50 > 24/50

Therefore, 3.5 : 7 > 1.2 : 2.5.

You might be interested in
Which values of x and y will make the expression 3(-2x - y)(2)
e-lub [12.9K]

Answer:

−18x −9y

Step-by-step explanation:

ik dis

5 0
3 years ago
∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?
melisa1 [442]

Answer:

jhhhhjjjjjjjjjjjjjjjjjj

a

Step-by-step explanation:

hhhhihhubtbyvyvyvtvtvtvtvrttjjjjjj

8 0
3 years ago
What is the value of the expression |a + b| + |c| when a = –5, b = 8, and c = –13?
nasty-shy [4]
|a+b| + |c| when a= -5, b= 8, c= -13:

|-5+ 8|+ |-13|
= |3|+ 13
= 3+ 13
= 16

The correct answer is D. 16~
7 0
3 years ago
the earth rotates about its axis once every 23 hours, 56 minutes and 4 seconds. Approximate the number of radians the earth rota
marishachu [46]

Answer:

\frac{\pi}{43082}\text{ radians per second}

Step-by-step explanation:

Given,

Time taken in one rotation of earth = 23 hours, 56 minutes and 4 seconds.

Since, 1 minute = 60 seconds and 1 hour = 3600 seconds,

⇒ Time taken in one rotation of earth = (23 × 3600 + 56 × 60 + 4) seconds

= 86164  seconds,

Now,  the number of radians in one rotation = 2π,

That is, 86164 seconds = 2π radians

\implies 1\text{ second }=\frac{2\pi}{86164}=\frac{\pi}{43082}\text{ radians}

Hence, the number of radians in one second is \frac{\pi}{43082}

4 0
2 years ago
Describe the possible values for x and y when ∣x − y ∣ &gt; 0. What does it mean when ∣x − y ∣ = 0? Can ∣x − y ∣ &lt; 0? Explain
Vilka [71]
The possible values for | x-y | > 0 is any number above 0. x must be greater than y. When | x-y | = 0, That means that x and y are equal to each other. | x-y | can not be less than 0, but it can equal 0.

Hope that this helped!
4 0
3 years ago
Other questions:
  • What is the solution to your system of linear equations graphed here
    14·1 answer
  • A plane travels 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind. When a tailwind is present, the pla
    6·2 answers
  • PLEASE HELP WILL GIVE BRAINLIEST!!!!!!! the exponential function, f(x)=2^x
    14·1 answer
  • X divided by 12 = 12 divided by 72​
    9·1 answer
  • Help? I will mark brainliest!!!
    8·1 answer
  • On a coordinate plane, trapezoid J K L M is shown. Point J is at (negative 7, 4), point K is at (negative 4, 4), point L is at (
    9·1 answer
  • An said that the difference between two negative numbers must be negative. Was he right? Use examples to illustrate your answer.
    10·2 answers
  • Use cos to solve for a(please no links and show work)
    9·1 answer
  • I buy
    5·1 answer
  • The picture below shows six quarters and two pennies. If this was broken down into two separate groups, what would be the equiva
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!