Are the ratios 4:18 and 2:9 equivalent?
yes
no

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Two ratios are given to us and we need to tell whether they are equivalent or not . Firstly let us say we have two ratios q:p and r:s . Here p & q are co-primes and r & s are also co-primes. Then the two ratios will be equal if and only if

q = rp = s .

Theefore , the Ratios are ,

[tex]\begin{cases}\tt 4 : 18 \\\tt 2:9 \end{cases}[/tex]

Here we see that the ratio 2:9 is in simplest form that is HCF of 2 & 9 is 1 . But here 4:18 is not in simplest form . HCF of 4 & 18 is not 1 it's 2 .On dividing numerator and denominator by 2 , we have ,

[tex]\tt= \dfrac{4}{18}\\\\ = \tt \dfrac{4 \div 2}{18\div 2}\\\\ = \boxed{\orange{\tt \dfrac{2}{9}}}[/tex]

Therefore since the Ratios are equal in the simplest form . Therefore the Ratios are equal.


Related Questions

Tyler will dog sit for a fee of $16 then $4 for each hour, Katie will dog sit for a fee of $12 then $6 per hour. After how many hours (x) will Tyler and Katie charge the same amount (y)?


can you tell me the steps to follow in order to solve this plz.

Answers

Answer:

4 hours

Step-by-step explanation:

Because 12 by 8 =96$ and 16 by 6 is equal to 96 too

Find the value of a when x=10 a=5x(squared)/2

Answers

Answer:

a = 5(10²)/2

a = 5(100)/2

a = 250

please answer this one if you could ​

Answers

Basically it’s pretty simple
Q13. .5, 1
Q14. -1.5, 2


Helppppppppppplszzzz

Answers

Answer:

3x=15

Step-by-step explanation:

3(5)=15 it's the only one where x can be 5

Plug x = 5 into all the equations
A: 2 + 5 = 3 (false)
B: 3(5) = 15 (true)
C: 5/2 = 10 (false)
D: 5 - 7 = 12 (false)

Solution: B

Find the value of w in the triangle.
x
1359
770

Answers

Answer:

Multiply each le and divde from the one on the left

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

180-135= 45

45 + 77 = 122

180 -122 = 58

Which value of x satisfies the inequality below?

13< x

Answers

Answer:

20

Step-by-step explanation:

since the sign is pointing to the "greater number"

any number over 13 is fine

The value of x can be 14, 15, .... and so on.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write  Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

13< x

So, we have to choose the value which are greater than 13.

The value of x cannot be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.

Thus, the value of x can be satisfies by 14, 15, .... and so on.

Learn more about Inequality here:

https://brainly.com/question/28823603

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PLEASE HELP. NO LINKS. (LINKS WILL BE REPORTED.) NEED REAL EXPLANATION ALONG WITH THE CORRECT ANSWER CHOICE OR CHOICES.

Answers

Answer:

False true true true

Step-by-step explanation:

So sorry for the rough sketch but that is how it will reflect

PLEASE HELP I WILL GIVE BRAINIEST. How many students received less than 6 gifts?

Answers

3+6+3

3+6=9+3=12

12 students received less than 6 gifts.

Hope this helps

pls help with this immediately!!! i’ll be marking brainiest to those with the correct answer. if u leave a link, have fun getting reported.

Answers

Answer: A C E RECTANGLE QUADRILATERAL PARELLELOGRAM

Step-by-step explanation:

Please help!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

The radical rule : [tex]\sqrt[3]{2^{3} }[/tex] = 2  when the number inside is greater than or equal to 0

2 that’s correct :) :) :) :)

​Which function or functions have a slope equal to the slope of Function 1?

Answers

Answer:

function 2 only

Step-by-step explanation:

The Function that have a slope have 1 is Function 1.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

From function 1, the slope is

Slope = (0-2)/ (1- 3)

Slope = (-2)/ (-2)

Slope = 1

Now, for function 2 the slope is

Slope = 2

and, for Function 3 the slope is

Slope = 0

and, For function 4 the slope is

Slope = 3/2

Thus, Slope of function 1 have slope 1.

Learn more about Slope here:

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Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?

Answers

Answer:

mmmm

Step-by-step explanation:

How long is the wire that supports the tree?
5.6 ft
3.3 ft

Answers

Answer:

6.5 ft

Step-by-step explanation:

You must use Pythagoras theorem, which is a² + b² = c², then square root c to get answer

if 5.6 = a and 3.3 = b

5.6²+3.3²=42.25(=c²)

42.25 = c²

square root both sides

6.5 = c

Answer:

6.5 ft.

Step-by-step explanation:

To find this you can use the Pythagorean Theorem. [tex]a^2+b^2=c^2[/tex]

[tex]5.6^2 + 3.3^2=C^2[/tex]

31.36+10.89=[tex]C^2[/tex]

42.25=[tex]C^2[/tex]

NOW you have to square root both sides of the equation

[tex]\sqrt{42.25} = \sqrt{C^2}[/tex]

You square root both sides so you can get ride of the exponent on C

So, your answer is 6.5=C

hope this helps :)

p.s. for further questions, [tex]c^2[/tex], is always the opposite side of the right angle.  :)

What is the area of the top desk?

Answers

Answer:

i think its 832 im not for sure

Step-by-step explanation:

Can someone help me please
I’ll give brainiest

Answers

Answer:

$40

Step-by-step explanation:

5(*4)/12(*4)=20/48

If 20/48 of them had 2.00 tips then multiply 20*2= $40

2. If all the letters in the word ENVELOPE are randomly rearranged, what is the probability the letters will
spell the word ENVELOPE?
A.
3/28

B.
1/720

c.
1/1120

D.
1/6720

Answers

The answer is D sorry if it’s wrong

The probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

If all the letters in the word ENVELOPE are randomly rearranged,

As we know, a permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

From the definition of the permutation and combination we can calculate the total number of arrangements:

E :: 3

N :: 1

V :: 1

L :: 1

O :: 1

P :: 1

The arrangement Letters:

E,L,N,O,P,V

Total Number of Letters:

8

Total Number of Unique Letters:

6

Total arrangements  = 8!/3!

 

Total arrangements  = 8×7×6×5×4

Arrangements  =  6720

Total number of outcomes = 6720

Number of favorable outcomes = 1

Probability = 1/6720

Thus, the probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.

Learn more about the probability here:

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Eleanor must earn at least 70 points for her book report project. So far on the rubric she has 54 points. Write and solve an inequality to show how many points Madeline needs.

Answers

Answer:

[tex]x + 54\ge 70[/tex]

[tex]x \ge 16[/tex]

Step-by-step explanation:

Given

[tex]Total = 70[/tex] (at least)

[tex]Accumulated = 54[/tex]

Required

Express as an inequality

In inequalities, at least means [tex]\ge[/tex]

So, the expression is:

[tex]x + Accumulated \ge Total[/tex]

Where x represents the additional points

[tex]x + 54\ge 70[/tex]

Solve for x

[tex]x \ge 70 - 54[/tex]

[tex]x \ge 16[/tex]

Hence, she needs at least 16 points

You earn $102 for doing 12 hours of yard work. Your friend earns $120 working at a store for 15 hours.



a. Who earns more per hour?

b. What would you earn in if you did 15 hours of yard work, paid at the same hourly rate?

Answers

Answer:

You earn more per hour and you would get $127.50

Step-by-step explanation:

You can find how much money you get per hour by dividing! 102 divided by 12 is 8.5 and 120 divided by 15 is 8 so you get more!

What is the range for the graph shown? A) -3 ≤ y ≤ 2 B) -3 and 2 C) -3 ≤ y ≤ 3 D) -2 ≤ y ≤ 3

Answers

B) -3 and 2

Explanation
Brainly Please

How many??
Please help!!

Answers

Answer:

Step-by-step explanation:

johns dinner costs $52.30. Sales tax is 6.5% and he wants to leave a 20% tip for the waitress. what is the total cost for johns meal ???????

Answers

Answer:

The total cost for john's meal would be $66.84

Step-by-step explanation:

6.5% of 52.30 = 3.3995

52.30 plus 3.3995 = 55.6995

20% of 55.6995 = 11.14$

55.6995 + 11.14 = $66.84

Help please. Will give brainlist

Evaluate the expression when a = -9 and b = - 4.
a? - 2(b + 12)

Answers

Answer:

-25

Step-by-step explanation:

-9 - 2(-4 + 12) = -25

helpppp will give brainly

Answers

Answer:

J. 50x < 330 + 30x

Step-by-step explanation:

50x < 330 + 30x should be correct

CAN SOMEONE HELP ME, ILL GIVE BRAINIES AND PLEASE NO LINKS












A business owner receives a $5,000 loan with 13%
interest,charged at
the end of each year.
Write an expression to represent the amount owed, in dollars, after the
given number of years of making no payments.

1. after 1 year

2. after 2 years

3. after tyears

Answers

Answer:

Step-by-step explanation:

Given;

Loan = $5,000

Interest rate = 13% charged at the end of each year

Question 1. Expression to represent the amount owed, in dollars, after;

a. After 1 year.

Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * 1 year )

= 5650

b. After 2 years.

Owed amount = Loan + accrued interest

= $5000 + ( 13% * $5000 * 2 years )

= $6300

c. After t years

Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * t years )= $5000 + $650t

Question 2. Explain how to convince someone that your expression for t years is correct.

Amount owned= borrowed amount + accrued interest

Accrued interest = Interest rate per year * Loan amount * time in years ( for simple interest case )

Loan amount = $5000

Time = t years

Interest rate = 13% per year

Accrued interest = 13% * $5000 *t years= $650t

Amount owned will therefore be; = Loan amount + Accrued interest

= $5000 + $650t

PLEASE HELP ! me last question

Answers

Answer:

So sorry but I have no idea, also have a great weekend!

HELPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEE

Answers

Answer:

angle KJG = angle FGJ (by alternateinteriorangle)

Using the information in the Box-and-Whisker plot below, what is the 1st
Quartile?
A) 5
B) 12.5
OC) 20
OD) 27.5

Answers

Answer:

B. 12.5

Step-by-step explanation:

where the box ends on the left side is the 1st quartile.

If the diameter of a circle is 16 cm, find it’s radius

Answers

Answer:

radius is 8cm

Step-by-step explanation: radius is half of diameter so 16/2= 8

Question

If the diameter of a circle is 16 cm, find it’s radius

soln'

diameter of circle=16cm

radius=?

now

radius formula=2 pie r where pie = 22/7

2*22/7*16

=96

By how much would the quantity of labor demanded decrease if a minimum wage hike raised prevailing wages from $8 to $10 an hour and if the elasticity of labor demand were 0.40?

Answers

Answer:

it would decrease by 10%

Step-by-step explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price  

percentage change in price = ($10 - $8) / $8 = 0.25 x 100 = 25%

0.4 =  percentage change in quantity demanded / 25%

percentage change in quantity demanded = 25% x 0.4 = 10%

Hello (^v^) can someone help me with this question?

Answers

Answer:sorry

Step-by-step explanation: i need points

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