Which of the following equations is equivalent to

Which Of The Following Equations Is Equivalent To

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{x+3}{3} =5- \frac{x-3}{6} \\(\frac{x+3}{3}) *6 =5 - (x-3)[/tex]

[tex]2x+6 = 5 - x+3[/tex]

Answer 2

Answer:

none

Step-by-step explanation:

We can start by multiplying both side of the equation by 6 in order to remove the fractions.

[tex]6*\frac{x+3}{3} = 6(5 - \frac{x-3}{6})[/tex]

[tex]2(x + 3) = 30 - 6*\frac{x-3}{6}[/tex]

[tex]2x + 6 = 30 -(x - 3)[/tex]

[tex]2x + 6 = 30 - x + 3[/tex]

Now, we can try to see if this equation is equivalent to the other options.

Every option has the left side as 2x - 6. In order to get that, we need to subtract 12 on both sides:

[tex]2x - 6 = 30 - x + 3 - 12[/tex]

This simplifies to

[tex]2x-6 = 18 - x + 3[/tex]

This is not the same as any of the options shown.

We can check this by solving the equations.

2x - 6 = 18 - x + 3

3x = 6 + 18 + 3

3x = 27

x = 9

Now, the first option:

2x - 6 = 10 - x - 3

3x = 6 + 10 - 3

3x = 13

x = 13/3

The second option is the exact same as the third, so they would have the same solution:

2x - 6 = 30 - x- 3

3x = 6 + 30 - 3

3x= 33

x = 11

Since none of the options have the answer 9, they are not equivalent to the equation shown.


Related Questions

Marcie solved the following inequality, and her work is shown below:

−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1

What mistake did Marcie make in solving the inequality?
A. She subtracted 6x from both sides when she should have added.
B. She subtracted 10 from both sides when she should have added.
c. She did not make a mistake.
D. When dividing by −8, she did not change the direction of the sign.

Answers

Answer:

d

Step-by-step explanation:

the right answer is D!

cole and rose are compairing their heights. cole is 7.1 meters tall. Rose is 20 centimeters shorter than cole
what is coles height

Answers

Answer:

150 meters is your answer hun.

how do you rewrite 2^-2

Answers

Answer:

[tex]2 ^{ - 2} \\ \frac{1}{2 ^{2} } \\ ( \frac{1}{2} ) ^{2} [/tex]

I hope it helped U

stay safe stay happy

Answer:

1/2^2

Step-by-step explanation:

When you have a number to a negative power, you can rewrite it inverting it's fraction and changing the signal of the power. 2 can be wrote as a fraction like 2/1, so you have 2^-2, it's like 2^-2/1, so you invert the fraction and the signal of the power, and have 1/2^2

Select all ratios equivalent to 14:4.

Answers

Answer:

the first option

Step-by-step explanation:

21:6=7:2

14:4=7:2

Answer:

Only option a is equivalent to the given ratio.

I hope it helped U

stay safe stay happy

Given the line below.

Answers

y2-y1/x2-x1 this is the formula
Excuse but how do you ask others for help because I really need help with this right now

which number produces an irrational number when added to 1/4

Answers

π is an irrational number when it is added to 0.4 we will get an irrational number

Answer:

A. 0.545454 - 1/4 = 0.295454  yes this is an irrational number

C. 3.4641016 - 1/4 = 3.2141016  yes this is an irrational number

Step-by-step explanation:

A. 0.545454 - 1/4 = 0.295454  is an irrational number as the closest fraction is shown below at 3 decimal points only

As this can be converted to a fraction 147727 /500000  ≈ 0.295

B. - 4/9 - 1/4 = -0.694444444 is not an irrational number so answer is no

As this can be converted to a fraction  -173611111 / 250000000

To write 0.694444444 as a fraction you have to write 0.694444444 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.694444444 = 0.694444444/1 = 6.94444444/10 = 69.4444444/100 = 694.444444/1000 = 6944.44444/10000 = 69444.4444/100000 = 694444.444/1000000 = 6944444.44/10000000 = 69444444.4/100000000 = 694444444/1000000000. Then divide by 470 and we know to use this some as 250000000/531915 = 470

C. 3.4641016 - 1/4 = 3.2141016  yes this is an irrational number

closest fraction is only   4 significant figures

4017627 /  1250000

=3 and 267627 over 12500003

267627  /1250000

≈3.214  so in closer proof it is an irrational number.

D. sq rt 4 - 1/4 = 1.75 is not an irrational number as this fraction is 7/4 = 1 3/4

I WILL MARK AS BRAINLIEST! Find the area and perimeter of the following figures

Answers

Step-by-step explanation:

it is really not complicated. we only need to type the numbers into the calculator.

so, what's the problem ? you don't know what a perimeter is ? it is the circumference, the total way you have to go when waking all around the figure.

you don't know the formulas for the areas of specific figures ?

let's start :

a)

the area of a rectangle is length×width. I hope you know this at least since first grade.

the important thing here is : the result is in² and not just in. it means an area counts the little squares that fill that area.

A = 30×8 = 240 in²

the perimeter, as explained, is the whole way around it. so, in the end, as you can easily see, we would have to go 2 times the long side and 2 times the short side.

the result is in (just a length, a distance not an area, not a cube, ...).

P = 2×30 + 2×8 = 60 + 16 = 76 in

b)

the area of a triangle is

baseline × height / 2

in this case (a right-angled triangle) we can assume one of the sides enclosing the 90 degree angle as baseline and the other as height (since there is already a 90 degree angle between them).

and again, the result is ft². we could express it also e.g. as in², but since the basic measures are in ft, it makes it better understandable to use ft².

A = 12×5/2 = 6×5 = 30 ft²

the perimeter is even easier than for the rectangle, as we have one side less to count.

and as before, we stay with ft.

P = 12 + 13 + 5 = 30 ft

c)

this is the only more special case.

but it is still easy.

the area is baseline × height.

and our unit of measurement here is cm, so the result will be cm².

A = 10×2 = 20 cm²

the perimeter is the same principle as with a regular rectangle, as the angles don't matter. only the side lengths matter.

so, again, while waking around it, we have to pass 2 times the long side and 2 times the short side.

and the result is a length, a distance again, so, it is cm.

P = 2×10 + 2×4 = 20 + 8 = 28 cm

1. A= 240 inches squared P= 76 inches
2. A= 30 feet squared. P=30 feet
3. A= 20 cm squared P= 28 cm

Select all ratios equivalent to 1:2.

Answers

Answer:

10:20 and 4:8 I think .........

Answer:

The answer is the last 2

Step-by-step explanation:

10:20 can simplify to 1:2. 4:8 can also simplify to 1:2. 24:12 simplifies to 2:1, so that isn't the same.

If this helped, please mark me as brainliest. Thank you! ;)

6.4 x- 10 = 4.4x + 6

Answers

Answer:

x=8

Step-by-step explanation:

2x=16

x=16/2

x=8

that should be the answer

Answer:

8

Step-by-step explanation:

So, can someone help me with this?

Answers

Water at the surface of the ocean, rivers, and lakes can become water vapor and move into the atmosphere with a little added energy from the Sun through a process called evaporation. ... The water droplets that form make up clouds.
Evaporation is the process by which water changes from a liquid to a gas or vapor. Evaporation is the primary pathway that water moves from the liquid state back into the water cycle as atmospheric water vapor.

-7/8 - ( -3/16 ) write your answer in simplest from

Answers

Answer:

-7/8 - ( -3/16 )

-7/8 + 3/16

Answer:

-11/16 or -0.6875

Step-by-step explanation:

-7/8-(-3/16)=

-7/8+3/16=

-11/16

or -0.6875

please help math i need ittt

Answers

The distance from P to R is 21, since 5 - (-16) = 21.

1/3 of that distance is 7, so you need Q to be 7 units from P towards R.

-16 + 7 = -9

So, Q is at -9.
The answer is -9. I’ve have that question before i think

A car factory made 8 cars with a sunroof and 18 cars without a sunroof what is the ratio of the number of cars without a sunroof to the total number of cars?

Answers

Answer:

No of cars without sunroof=18

Total no of cars=18+8=26

Now,the ratio of cars without sunroof to total no of cars=18÷26

= 9÷13

18/26 is the ratio of cars without sunroofs to total number of cars . However you can reduce this ratio to 9/13
Did your teacher what answer is simplest form? If so put 9/13
If she just wants ratio 18/26

Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.

Answers

Answer:

Step-by-step explanation:

point-slope form would be -3-3 = 1(-3-3)

Find the unit rate.
10 minutes for 2 songs
=
minutes per song

Answers

Hi ;-)

10 minutes for 2 songs = 5 minutes per song

10 : 2 = 5

Answer:

5

Not to sure if it's correct

Step-by-step explanation:

10 ÷2= 5

Please show all work and explanation.
[tex]6\frac{1}{4}-4\frac{3}{5}[/tex]

Answers

Steps:

6 1/4 - 4 3/15 can also be written as 25/4 - 23/5

The LCD of 4 and 5 is 20.

That gives us 125/20 - 92/20.

Now, just subtract the numerators (leave the denominators the same).

That brings us to 33/20, which can be simplified to 1 13/20

Final Answer:

[tex]1\frac{13}{20}[/tex]

--------------------------------------------------------------------------------------------------------------

*Please mark brainliest if that helped!*

Answer:

1 [tex]\frac{13}{20}[/tex]

Step-by-step explanation:

1. Convert both [tex]\frac{1}{4}[/tex] and [tex]\frac{3}{5}[/tex] into a common denominator. 4 multiplied by 5 is 20. 20 works for both 4 and five. So convert the denominator into 20. Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{5}{5}[/tex] and multiply [tex]\frac{3}{5}[/tex] by [tex]\frac{4}{4}[/tex]

2. You should've gotten, [tex]\frac{5}{20}[/tex] and [tex]\frac{12}{20}[/tex]

3. 6 - 4 = 2, so 2 [tex]\frac{5}{20}[/tex] - [tex]\frac{12}{20}[/tex]

4. You have to convert 1 into [tex]\frac{20}{20}[/tex] and add that to [tex]\frac{5}{20}[/tex]. You should've got [tex]\frac{25}{20}[/tex]

5. Subtract.

The Answer is 1 [tex]\frac{13}{20}[/tex]

I believe I am correct.

Please mark me as brainliest if I am correct

Hello everyone, I have one more question. What is the formula for dividing decimals again? I reviewed this yesterday but continued to forget anyway.

Answers

Answer:

multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens.

Step-by-step explanation:

This is how you do it i think

Help me Guess just help please

Answers

you would try all becauseyou all try you are intilligent mare than other

Don’t guess you got this!

please help! I will greatly appreciate it

Answers

Answer:

(1 1/4, -3/4)

Step-by-step explanation:

The x value, it is 1 and 1/4 units to the right of 0 so its 1 1/4

The y value, it is 3/4 units below 0 so -3/4

Coordinates = (x,y) so it is (1 1/4, -3/4)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A

Step-by-step explanation:

Select all ratios equivalent to 5:4.

Answers

Answer 25:20
Step-by-step explaining

Answer: 25 : 20

Step-by-step explanation:

= 5 * 5 = 25

= 4 * 5 = 20

So , the answer is 25 : 20

Find the unit rate.
56 newspapers in 2 piles =
newspapers per pile

Answers

Answer: The answer is 28 per pile

28 newspapers per pile 56 divide by 2 is 28.

Find the number that makes the ratio equivalent to 3:2.
:24

Answers

Answer:

36:24

Step-by-step explanation:

24 divided by 2 which is 12 then 12x3 which is 36

I might be wrong but i think this is the answer.

Answer:  36 : 24

Step-by-step explanation:

3 / 2 = 12 * 3 / 12 * 2

= 36 / 24

= 36 : 24

Hope it helps !!

Can someone help me with questions 22, 23, and 24 please I’ll appreciate it!

Answers

Answer:

for 24 Q it is 1/4

Step-by-step explanation:

Its so simple!

Answer:
24=1/4 it’s simple yk
23= volume : l*w*h didn’t got don’t round your answer...

I WILL MARK AS BRAINLIEST! Simplify

Answers

a) | -21 -17| = | - 38 | = 38

b) | 39 - 26 | = | 13 | = 13

c) | -17 -79 | = | - 96 | = 96

d) | -9+25 |= | 16 | = 16

e) | -21 -61 |= | - 82 | = 82

f) | 61-74 |= | - 13 | = 13

g) | -31 -79 |= | - 110 | = 110

h) | -12 +55 | =| 43 | = 43

I hope I helped you^_^

A is 38 and b is 13 and c is 96

How far was Zane from the edge of the volcano when he started climbing?

Answers

Answer:

Hope this helps

accoding to the web "He started out 25 meters below the edge of the volcano. It takes him 6.25 seconds to reach the edge."

Answer:

25 meters below the edge; 6.25 seconds  

Step-by-step explanation:

We can represent this with a linear function in slope-intercept form.  

We know the rate of change is 4 since he climbs up at 4 meters per second.  We do not know the value of b, the y-intercept.  

This gives us  

y = 4x + b  

We know that he is 13 meters below the edge after 3 seconds.  Using -13 for y and 3 for x,  

-13 = 4(3) + b  

-13 = 12 + b  

Subtract 12 from each side:  

-13-12 = 12+b-12  

-25 = b  

This gives us the equation  

y = 4x - 25  

He started out 25 meters below the edge of the volcano.  

To find how long it took him to reach the edge, substitute 0 in for y:  

0 = 4x - 25  

Add 25 to each side:  

0+25 = 4x-25+25  

25 = 4x  

Divide both sides by 4:  

25/4 = 4x/4  

6.25 = x  

It takes him 6.25 seconds to reach the edge.

Write 5/8 as a percent
A. 0.625
B. 62.5
C. 625%
D. 6.25

Answers

Question:- Write ⅝ as a percent

Answer:-

[tex] \frac{5}{8} [/tex]

For making it in percentage we need to multiple the fraction with 100

[tex] \frac{5}{8} \times 100\% \\ \frac{5}{ \cancel{8} {}^{ \: \: \: 2} } \times \cancel{100} {}^{ \: \: \: 25} \\ \frac{5 \times 25}{2} [/tex]

Now we will multiple and divide the above equation with 5 for easy solution. Or you can just divide the equation upto decimal for your answer

[tex] \frac{125}{2} \times \frac{5}{5} \\ \frac{625}{10} \\ 62.5 \: \% \: \: ans[/tex]

So your options (B) 62.5% is correct

Answer: 62.5%
Please mark brainliest

Find the unit rate.
12 books in 2 boxes
books per box

Answers

Answer:

6

Step-by-step explanation:

12 per2

=12/2

=6 per box

6 books in each box

please help it would mean a lot thanks ! :)
How does this graph change between (2.5, 2) and (4.5, 0.25)?

increases
decreases
or
no change

Answers

Decreases explanation the end is lower than the start
Decreases because the ending is lower then what you originally started with

Select all ratios equivalent to 3:6.

Answers

Step-by-step explanation:

3:6=3/6=1/2

28:36=28/36=7/8

4:9=4/9

8:16=8/16=1/2

Hence, 8:16 is equivalent to 3:6.

I hope it helped U

stay safe stay happy

Answer:

3:6=3/6=1/2

28:36=28/36=7/8

4:9=4/9

8:16=8/16=1/2

Step-by-step explanation:

Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event?

A. This is an independent event because he is replacing the coin before drawing the next one.
B. This is a dependent event because he has different amounts of coins in his pocket.
C. This is an independent event because he could select a quarter and then a penny.
D. This is a dependent event because he could select a quarter and then a penny.

Answers

I think it’s D but I’m not sure.

Answer:

it might be C

Step-by-step explanation:

I'm just guessing

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