Are the ratios equivalent? 2/5 and 20/55​

Answers

Answer 1

Step-by-step explanation:

Simplify 20/55;

[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]

[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]

In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.

Answer 2

Assuming 2:5 and 22:55 are equivalent. Then;

[tex]\implies 2:5 = 20:55[/tex]

This can be checked by using two methods. Listed below!

Method 1 (As stated above):

This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.

Obtained ratio:

[tex]2:5 = 20:55[/tex]

We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.

[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]

[tex]2:5 = (4):(11)[/tex]

Therefore, the given ratios are NOT equivalent.

Method 2:

To determine if the ratios are equivalent (or not);

Multiply the extremes (Refer to notes) of the ratio and isolate them on one side of the equation.Multiply the middles (Refer to notes) of the ratio and isolate them on the other side of the equation.

Therefore,

[tex]\implies 2:5 = 20:55[/tex]

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

Now, let's simplify both sides of the equation.

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]

Therefore, the given ratios are NOT equivalent, as stated in method 1.

Notes:Extremes: (a : b = c : d) ⇒ "a" and "d"Middles: (a : b = c : d) ⇒ "b" and "c"

Learn more about equivalent ratios: https://brainly.com/question/18835388


Related Questions

Seventy-five percent of the apple pies were sold on Tuesday, and the remainder were thrown out. If 12 apple ples were sold Tuesday, then how many were thrown out?​

Answers

Answer:

4 pies

Step-by-step explanation:

Hello!

We know that 12 apple pies are 75 percent of the total apple pies.

Let x = # of pies total.

This means that 75% of x, or 0.75x is 12

Solve:

75% of x = 120.75x = 12x = 16

Now, 16 is the total number of pies. To find the number thrown out, we subtract 12.

16 - 12 = 4

4 pies were thrown out

Solution:

Let "a" represent total apple pies.

Note that:

75% x a = 12 apples pies

Simplify the LHS:

75a/100 = 12 apple pies

Use cross multiplication:

75a = 12 x 100=> 75a = 1200

Divide 75 both sides:

=> 75a/75 = 1200/75=> a = 16

If there were 16 apples and 12 were sold, 4 apple pies were thrown out.

He collected a total of 225 . If ​68% of the stamps he collected were​ foreign, how many other stamps did he​ collect?

Answers

Answer:

72 stamps

Step-by-step explanation:

First, we're looking to find the number of stamps that AREN'T foreign, so we have to subtract 68% from 100%.

100% - 68% 32%

Now, we know that 32% of the stamps are NOT foreign. So, next, we:

Multiply 32 by 225.Divide the product of 32 and 225 by 100[tex]32*225[/tex] [tex]7200[/tex] [tex]7200/100[/tex] [tex]72[/tex]

Therefore, the answer is 72 stamps.

When x=4 and Y=7, find the value of
5x-2y​

Answers

the answer is 6.
5(4) -2(7)
20-14=6

Answer:

6

Step-by-step explanation:

plug in x and y in to the equation

5(4)-2(7)

20-14=

6

What is the surface area of this triangular pyramid? 7 in 4 in 4 in 4 in 3.5 in​

Answers

Answer:

37 yd²

Step-by-step explanation:

The computation of the surface area of this triangular pyramid is shown below:

The surface area of this triangular pyramid  is

But before that

Lateral area = 3(1 ÷ 2) × base × height

= (3 ÷ 2)(4 yd)(5 yd)

= 30 yd²

Now

base area = 1 ÷ 2 × base × height

= 1 ÷ 2(4 yd)(3.5 yd)

= 7 yd²

Now the total surface area is  

surface area = lateral area + base area

= 30 yd² + 7 yd²

= 37 yd²

Answer:

88 inches squared

Solve the following problems
-10+2 ⅓÷¾​

Answers

[tex] - 10 + 2 \frac{1}{3} \div \frac{3}{4} = [/tex]

[tex] - 10 + \frac{7}{3} \div \frac{3}{4} = [/tex]

[tex] - 10 + \frac{7}{3} \times \frac{4}{3} = [/tex]

[tex] - 10 + \frac{7 \times 4}{3 \times 3} = [/tex]

[tex] - 10 + \frac{28}{9} = [/tex]

[tex] \frac{ - 10}{ 1} + \frac{28}{9} = [/tex]

[tex] \frac{ - 90}{9} + \frac{28}{9} = [/tex]

[tex] \frac{ - 90 + 28}{9} = [/tex]

[tex] \frac{ - 90 - ( - 28)}{9} = [/tex]

[tex] \frac{ - (90 - 28)}{9} = [/tex]

[tex] \frac{ - 6 2}{9} = [/tex]

[tex] - 6 \frac{8}{9} [/tex]

Answer: -62/9

Step-by-step explanation:

Please Help ASAP. I need a better understanding of this so please help ASAP...

Answers

Answer:

  upper right selection

Step-by-step explanation:

Matrix addition, subtraction, and multiplication or division by a constant are done on a term-by-term basis.

  [tex]\left[\begin{array}{cc}4&-7\\-11&5\end{array}\right] +\left[\begin{array}{cc}1&6\\-1&3\end{array}\right] =\left[\begin{array}{cc}4+1&-7+6\\-11-1&5+3\end{array}\right] \\\\=\boxed{\left[\begin{array}{cc}5&-1\\-12&8\end{array}\right] }[/tex]

Please Help!!!! The screenshot is down below!!!

Answers

Answer:

2

Step-by-step explanation:

if I counted right there are 23 data points in this set 2 's are in the center

the answer is 2 for his reason^^^

2/6 of Ryan's socks are blue, 2/6 are green, and the rest are white. What fraction of Ryan's socks are white?

Answers

Answer: 2/6.

Step-by-step explanation:
6/6 - 2/6 - 2/6 = 2/6

b) Find the value of W.
find the value of w
4 cm
3 cm
12 cm
A
B
3 cm
wcm
9 cm
Not drawn accurately

Answers

Step-by-step explanation:

Given : AD=4 cm,DB=(x−4) cm,AE=8 cm and EC=(3x−19) cm.  

To Find : x

We know that, by BPT(Basic proportionality theorem)

DBAD=ECAE 

 

(x−4)4=(3x−19)8

4(3x−19)=8(x−4) 

12x−76=8x−32

 

Solving, we get x=11 cm 

Which of the following scatterplots would have a trend line with a positive slope?

Answers

Answer:

the top left one

Step-by-step explanation:

The correct answer is the top left graph because in order for the slope to be positive the dots must be able to for a line going up from the origin point :)

What is the slope?
Simply your answer and write it as a proper fraction, improper fraction, or integer;
Submit
Work it out
Not feeling ready yet? These can help:

Answers

Answer:

6/7 is the answer to this problem

Step-by-step explanation:

The answer is 6/7

Select all pairs of vertical angles.

Angles 1 and 3, Angles 3 and 4, Angles 2 and 3, Angles 1 and 2, Angles 1 and 4, Angles 2 and 4

Answers

Answer:

Step-by-step explanation:

the composite numbers smaller than 18​

Answers

Hello.

A composite number has more than 2 factors; it's divisible by 1, itself, and something else.

Let's find the composite numbers smaller than 18.

The composite numbers are

4, 6, 8, 9, 10, 12, 14, 15, 16.

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Make a number line and mark the points that represent the following values of x -1

Answers

The marks on the number line are used to represent the points on the number line

The point on the given diagram is on the point x = -1

How to determine the point

The value of x is given as:

x = -1

The above equation means that, the value of x is on the -1 point of x

This in other words means that, the position of x is 1 point to the left of 0

From the diagram, the point is already on the point x = -1

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

-1 and 1 if you are using absolute value

Step-by-step explanation:

Manuela can type about 150 words in 4 minutes at this rate, about how long will she take to type 2000 words
Answers:
10 minutes
75 minutes
50 minutes
750 minutes ​

Answers

Answer:

How long does a 750 word essay tak

How long is a 6 minute speec

What does 1500 words look lik

How many minutes does it take to say 800 word

How long is a script for a 90 minute movi

How long should a 3 minute script b

How many words is a 5 minute scrip

How many pages is 750 word

How long of a paper is a 5 minute speec

How long is a 1 minute 30 second speec

How many pages is a 5-minute scrip

How much is a 100 word

How many pages is 1000 word

How long does it take to write 100 word

Can you write a 5 page paper in 2 hour

How many minutes is 700 word

Can I write 1000 words in 2 hour

How long is a 10 minute presentatio

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How much is 750 wor

Is (4,10) a solution to this system of equations? y=2x+2 y=10x+1

Answers

Answer:

No

Step-by-step explanation:

To find out if (4,10) is a solution to the system, we plug in the values of x and y into each equation.

1:

[tex]10=2(4)+2[/tex] [tex]10=8+2[/tex] [tex]10=10[/tex]  

2:

[tex]10=10(4)+1[/tex] [tex]10=40+1[/tex] [tex]10\neq 41[/tex]

As you can see, (4,10) only satisfies ONE equation, not both. Therefore, the answer is no, it's not a solution.

Determine the number and types of roots.
2.2 – 3.0 – 10 = 0

Answers

Answer:

0+3.16 i / imaginary

..

..

..

..

..

...

m + s = 26
3m + 8s = 123

Answers

Answer:

M=17

S=9

Step-by-step explanation:

m = 17 and s = 9

Refer to the attachment for full solution . The main key here is to multiply first equation by 3 so that in both equations the coefficient of m will be same so that we can eliminate 3m and then we will solve for s and then putting value of s in any of the equation , so we can get m

Note :- You can multiply the 1st equation by 8 too for making coefficient of s same and then solving for m and then solving for s

What is the area of this polygon?????? Pls

Answers

Answer:

39

Step-by-step explanation:

Draw a line from V to R. That gives you a triangle MVR

The height of the triangle = 3

The base of the triangle = 6

Area Triangle =                           1/2 * 3 * 6 =   9

The figure left over is a rectangle

Area = VR * VE

VR = 6

VE = 5

Area = 6*5 =                                                  30

Total area =                                                   39

Answer:

We can split this figure into two shapes;

A triangle, and a rectangle.

If we split the figure from 'V' to 'R', it will formulate the two shapes I mentioned.

First, we must know the formula for the area of a triangle -

A = BH x 1/2

Where B represents the base, and H serves as the height.

For the triangle, the height is 3, and the base is 6.

So we plug in these values into our formula:

A = BH

A = 6(3) x 1/2

A = 18 x 1/2

A = 18/2

A = 9

Now the formula for the area of a rectangle:

A = LW

Where L displays as the length, and W illustrates the width.

Our width of the following rectangle is 6, while our length is 5.

Plug in our values into the formula:

A = LW

A = 5(6)

A = 30

Now, we add our areas;

9 + 30 = 39 square units, is our answer.

30 out of 32 is what percent?

Answers

Answer:

about 93%

Step-by-step explanation:

If you want to find the answer for yourself simply divide 30 by 32.

Hope that helps!

Answer:

93.75

Step-by-step explanation:

divide 30 by 32 to get 93.75%

Have an amazing day!

PLEASE RATE!

1/4 as a decimal and percentage

Answers

Answer:

0.25 as decimal and 25%

Step-by-step explanation:

find the distance between (-6,-10)and (-2,-10)

Answers

Answer:

4 units

Step-by-step explanation:

Find the surface area of the prism ​

Answers

Answer:

136 [tex]m^{2}[/tex]

Step-by-step explanation:

Well if you find the lateral area (the area of the rectangles on the sides) to get 112, so you just need to add that to the triangles and for those (they add up to 36) you can just use the formula for the area of a triangle,  which is [tex]b*h/2[/tex].

Hope this helps :)

Olive oil is a cooking ingredient. The density of olive oil is 0.92 grams per cubic centimeter. An olive farmer wants to sell bottles that contain 460 grams of oil. What is the volume of the smallest container that holds 460 grams of oil?

Answers

Answer:

423

Step-by-step explanation:

PLEASE HELP! What is the approximate area of the shaded region? use 3.14 for Pi

Answers

Answer:

A. 16.86 square inches

Step-by-step explanation:

Area of Circle = [tex]\pi r^2[/tex], where r = radius.

Area of Rectangle = [tex]l * w[/tex], where l = length and w = width.

We are given the radius of the circle as 1, and we use π as 3.14

[tex]3.14*1^2[/tex] [tex]3.14*1[/tex] [tex]3.14[/tex]

Next, we find the area of the rectangle.

[tex]5*4[/tex] [tex]20[/tex]

Lastly, we subtract 3.14 from 20.

[tex]16.86[/tex]

Therefore, the answer is A. 16.86 square inches.

Answer:

16.86

Step-by-step explanation:

The circle area =3.14*1=3.14

The area of the square- the circle=shaded area.

=20-3.14=16.86

Please answer fast brainliest.


A bank charges a service fee of $8.75 per month for a bank account. Sarah’s bank account bas $75.00. How much is she charged after 7 months and how much money is left in her account? Show your work.

Answers

Answer: Fast

Just k1dding, in terms of setting up an equation for it, we know that 8.75 is the slope coefficient with months and 75 is the intercept.
So basically amount charged = monthly service fee(# months) + bank account base
Or with numbers
Amount charged = 8.75(num months) + 75.00
Now plug in 7 months
8.75(7)+75.00 = 61.25+75.00= $131.25.

HELP PLLZZZZ
Please answer this i rly need help i dont understand

Answers

Answer:

220°

Step-by-step explanation:

[tex]\angle PQM [/tex] is inscribed in the [tex]\widehat{PQM}[/tex] and [tex]\widehat{PNM}[/tex] is intercepted by it.

Therefore, by inscribed angle theorem:

[tex]m\angle PQM =\frac{1}{2}\times m\widehat{(PNM)}[/tex]

[tex]\implies 110\degree =\frac{1}{2}\times m\widehat{(PNM)}[/tex]

[tex]\implies 110\degree \times 2= m\widehat{(PNM)}[/tex]

[tex]\implies m\widehat{(PNM)}= 220\degree [/tex]

[tex]\\ \rm\Rrightarrow m<PQM=1/2m\overset{\cap}{PNM}[/tex]

[tex]\\ \rm\Rrightarrow m\overset{\cap}{PNM}=2m<PQM=2(110)=220°[/tex]

....................

Answers

Answer:

m ∠ E = 29°

Step-by-step explanation:

34 + 117 + m = 180

151 + m = 180

-151         -151

m ∠ E = 29°

I hope this helps!

PLEASE HELP

For each relation, decide whether or not it is a function. ​

Answers

Going from left right, bottom down, box 1,2, and 4 are not functions. Box 3 is

a rectangular room has an area of 24 square yards the length of the yard is 6 yards what is the width.

Answers

Answer:

w=4yd

Step-by-step explanation:

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