Evaluate. Write your answer as a fraction in simplest form.
2/9 +5/12 -7/18

Answers

Answer 1
the answer will be 1/4
Answer 2

Answer:

1/4

Step-by-step explanation:

Step 1 : Find a common denominator. We will use 36 as the denominator since 9, 12, and 18 are all factors of 36.

Step 2 : The number you multiple the denominator by must be the same number you multiply its numerator by.

Example : 2/9    To get a denominator of 36 you need to multiply 9 by 4. Now you need to multiply 2 by 4 as well.

Step 3 : Convert fractions into the new fractions

2/9 (times 4 on both sides) = 8/36

5/12 (times 3 on both sides) = 15/36

7/18 (times 2 on both sides) = 14/36

Step 4 : Plug new numbers into the equation.

8/16 + 15/36 - 14/36

Step 5 : Solve

8/16 + 15/36 = 23/36

23/36 - 14/36 = 9/36

Step 6 : Simplify

9/36 (divide by 9 on both sides) = 1/4


Related Questions

Select all ratios equivalent to 2:3.

Answers

Answer:

12:18 and 10:12 (i think)

Step-by-step explanation:

After converting the given ratios in their simplest form, the equivalent form of 2:3 we get 12:18.

To find the simplest form of a fraction, you have to simplify the numerator and denominator to their lowest terms and keep dividing until you can no longer simplify the fraction any further.

The given ratios are,

12:18,

3:21,

10:12

For the ratio 12:18,

Simplify it by finding the greatest common divisor (GCD) of 12 and 18.

The GCD of 12 and 18 is 6.

By dividing both numbers by 6, we get the smallest ratio of 2:3.

Moving to the ratio of 3:21,

Find the GCD of 3 and 21, which is 3.

Dividing both numbers by 3 results in the smallest ratio of 1:7.

Find the smallest ratio for 10:12.

The GCD of 10 and 12 is 2.

Dividing both numbers by 2 gives us the smallest ratio of 5:6.

Hence, the simplest form of ratios for the given ratios are:

12:18 = 2:3,

3:21 = 1:7,

10:12 = 5:6.

Hence,

The ratio equivalent to 2:3 is 12:18.

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(-1)(-1)(-1)(-5)=
HELP PLZ

Answers

Answer: 5

Step-by-step explanation:

(-1)(-1)(-1)(-5)=

(-1)(-5)=5

Answer: 5

Explanation: You would need to evaluate & simplify the expression.

The model shows the expression 30 +12. Which expression is equivalent to thi sum?

Answers

Answer:

There are many answers to this question like:

7x6

21x2

84/2

27+15

Step-by-step explanation:

If 30+12=42, all you really have to do is check each answer to see if it either adds up to 42, multiplies to get 42, divides to get 42, or subtracts to get 42.

Answer:

6(5+2)

3(10+4)

Step-by-step explanation:

These are just a couple of equivalent sums, I am assuming this is a sort of short response and not a multiple choose so i believe you can use this.

Josh keeps his socks and shirts in different drawers. He has twelve white, five blue, and seven black socks. He also has three white, five black, and two grey shirts. He pulled out a sock and a shirt in the dark.



What are the chances that he will get a black sock and a grey shirt?

Answers

Answer:

P(blk sk AND gy shr)=P(blk sk)*P(gy shr)=7 /578

P(gy shr)=2/34

P(blk sk)=7/34

blk=Black

sk=Sock

gy=Grey

shr=Shirt

89% chance of pulling out a black sock and a grey shirt

Please help im giving 25 points

Answers

Answer:

4/15

Step-by-step explanation:

[tex]6\frac{3}{5} -6\frac{1}{3} \\\\\frac{33}{5} -\frac{19}{3} \\\\\frac{99-95}{15} =\frac{4}{15}[/tex]

=
4/15
(Decimal: 0.266667)

Step by step: =33/5 - 6 1/3
=33/5 - 19/3
=33/5 + -19/3
=4/15
=4/15

helppppppppppp meeeeeeeeeeeeeeeeeeeee

Answers

Answer:

3x5?

Step-by-step explanation:

That’s the answers 3x5

Select all ratios equivalent to 20:5.

Answers

The answer is : 40:10

*multiply by 2

If helpful, brainliest please !

Answer:

40:10 & 8:2

Step-by-step explanation:

20 * 2 = 40

5 * 2 = 10

8 * 2.5 = 20

2 * 2.5 = 5

2:1 does not work because only 2 * 10 = 20, but 1 *10 = 10 and there is no 10. There is only 5.

Fill in the blanks
Blank- blank = blank
4.5* 10^9
4.443*10^9
5.7*10^7
1.2*10^2
Btw * means multiply and ^ means exponent

Answers

I’m not sure what you are wanting people to figure out? What’s the question??
4.5* 10^9 = 4500000000
4.443* 10^9 = 4443000000
5.7* 10^7 = 57000000
1.2* 10^2 = 120
I hoped it will help.

If you drew the image of this figure under a 90\circ∘ clockwise rotation using center P, (0,0), what would be the coordinates of the vertices?

Answers

Answer:

(-1,1) (-2,3) (1,3) (1,1)

Step-by-step explanation:

Jordan has to solve this division problem: 42 divided by 7 = ?
Which of the following equations can he use?
42 + 7 = ?
7 x 42 = ?
? x 7 = 42
7 divided by 42 = ?

Answers

the correct answer would be 6

The correct equation that Jordan can use to solve the division problem 42 divided by 7 is:

? x 7 = 42

So, the correct equation is option 3) ? x 7 = 42.

Given that, Jordan has to solve this division problem: 42 divided by 7 = ?

In this case, Jordan needs to find the value of the missing factor, which represents how many times 7 can be multiplied to get 42.

Therefore, he can use the equation:

? x 7 = 42

This equation represents the inverse operation of division, which is multiplication.

When we know one factor (7) and the product (42), we can use multiplication to find the missing factor (the quotient).

By solving for the missing factor, he will find the correct answer to the division problem:

The missing factor = 42 / 7 = 6

So, the correct equation is option 3) ? x 7 = 42.

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Help meeee pleaseeee mehhhh

Answers

The one about to answer is right sorry

In complete sentences, describe how Spain established territorial claims in the Caribbean and South America. Include these terms in your answer: Christopher Columbus, conquistadors, Hernán Cortés, Francisco Pizarro.

PLEASE help me

Answers

Spain and irish help the economy

the number of the x is 5 and the number of the Y

Answers

Answer:

Y is also 5 bro that is very easy question

Y also equals 5 too

Consider the congruent triangles shown.



Which set of transformations can be used to prove the triangles are congruent?

A
First reflect △XYZ across the y-axis, then rotate it 90° counter-clockwise about the origin.

B
First reflect △XYZ across the y-axis, then translate it down 8 units.

C
First reflect △XYZ across the x-axis, then rotate it 90° counter-clockwise about the origin.

D
First reflect △XYZ across the x-axis, then reflect it across the y-axis.

Answers

Answer:

d. idfk what im doing on here

I think it’s c because it’s reflected across x-axis

the trail mix uses 3 cups of almonds, 2 cups of cranberries, and 6 cups of peanuts. complete the following sentences.


there are cups ____ of peanuts for every cup of almonds.
there are ___ cups of peanuts for every cup of cranberries

Answers

Answer:

There are 2 cups of peanuts for every cup of almonds. There are 3 cups of peanuts for every cup of cranberries.

Step-by-step explanation:

First question - 6(peanuts) / 3(almonds) = 2 cups of peanuts for every cup of almonds

Second question- 6(peanuts) / 2(cranberries) = 3 cups of peanuts for every cup of cranberries

Answer:

2 cups

Step-by-step explanation:

6 divided by 3 is 2 and secondly 6 divided by 2 is 3

Hope this helps you

Can someone help me please

Answers

Answer:

[tex]◻ \: 827 \div 1120 \\ \\ ◻ \: \frac{827}{1120} \\ \\ ◻ \: 1120 | \bar {1120}[/tex]

The first one wich is 1120 ➗ 827
And the second one wich is 1120/827
And the last one wich is 1120 on 827
Because Division means spreading a number into something so it’s not possible to spread 827 on 1120 because for example if you have 827 apples and you want to give it to 1120 students you won’t be able to do it so ya

Can somebody help me with questions 11 and 12 I’ll appreciate it!

Answers

11) 88140 divided by 4520 = 19.5 meaning you would need 20 fire extinguishers
Yah why she said I am just here for points

Find the amount and compound interest on Rs.3000 for 2 years at 15% per annum compounded annually .

Answers

Step-by-step explanation:

formula =P×(1+r/100)^2

3000×1.15^2=3967.50rs

Hi friend this is the answer of your question :D

Needing help on tjis one

Answers

Answer:

she used about 2 gallons for her dining room

Step-by-step explanation:

she used a combined amount of 3 gallons in the other areas of the house so that left 2 gallons for the dining room

Answer:

B. 2 gallons

Step-by-step explanation:

[tex]5\frac{1}{4} -1\frac{1}{4}\\=4-1\frac{1}{8}\\=2\frac{7}{8}\\2\frac{7}{8}-\frac{3}{4}=2\frac{1}{8}\sim2[/tex]

Violet has 30 glass tiles. she would like to mosaic tile a tabletop with 10 times that number of tiles. how many tiles does violet want to use?

If you can help, please respond! Tysm! <3

Answers

300 tiles hope it’s correct!

Violet will need to use 300 tiles for tabletop.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Number of glass tiles Violet has = 30

Now,she would like to mosaic tile a tabletop with 10 times that number of tiles

So, number of tiles become = 10 times Number of glass tiles Violet has

number of tiles become = 10*30

number of tiles become = 300 tiles

Thus, Violet will need to use 300 tiles for tabletop.

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find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4)​ K(5,-3)​

Answers

Answer:

Step-by-step explanation:

J (-1,4)​  ⇒      x₁ = -1 & y₁ = 4

K(5,-3)​  ⇒      x₂ = 5  ; y₂ = -3

m : n = 1/3 : 2/3 = 1 :2

[tex]X \left(\dfrac{mx_{2}+nx_{1}}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\\\X \left(\dfrac{1*5+2*(-1)}{1+2},\dfrac{1*(-3)+2*4}{1+2} \right) \\\\\\X \left(\dfrac{5-2}{3},\dfrac{-3+8}{3} \right)\\\\\\X \left(\dfrac{3}{3},\dfrac{5}{3} \right)\\\\\\X \left( 1 , \dfrac{5}{3} \right)[/tex]

The answer to this question is D


Find the number that makes the ratio equivalent to 10:6.

Answers

Answer:

9*10=90 so 6*9=54   then answer is 90:54

Step-by-step explanation:

20:16 can be equivalent to the ratio of 10:6

Evaluate the expressions when x=1.8 and y=4

1.) 3xy

2.) 7.5xy

3.) 1.4y + 5.9x

Answers

Answer:

1. 21.6

2. 54

3.16.22

Step-by-step explanation:

1. 3(1.8)(4)

2. 7.5(1.8)(4)

3. (1.4)(4) + (5.9)(1.8)

1. 3(1.8)(4) = 21.6

2. 7.5(1.8)(4) = 54

3. 1.4(4) + 5.9(1.8)
5.6 + 10.62 = 16.22

Which of the following equations is equivalent to

Answers

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:

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.

I WILL MARK AS BRAINLIEST! Solve for X and Y

Answers

Answer:

1.

a)  -11.25  b) -1/2  c)  -2/7  d) 1/8

2.

a)  2  b)  -8  c)  -7  d)  -30

Step-by-step explanation:

please mark me brainliest. Thank you

Simplify the expression by combining like terms put each expression in its simplest form. 1. 5x^2-2xy+3y^2-4yx+3x-4y^2-5xy+2x-y

Answers

5x^2-7xy-2y^2-4yx+3x+2x
5x^2 - 2xy + 3y^2 - 4xy + 3x - 4y^2 - 5xy + 2x - y = 5x^2 - (2xy + 4xy + 5xy) + (3y^2 - 4y^2) + (3x + 2x) - y = 5x^2 - 11xy - y^2 + 5x - y

Help me Guess just help please

Answers

II - rational means not reoccurring
2 it’s not an reaccuring number

PLEASE HELP!!!!!!!!!! GIVING BRAINLIEST, THANKS AND FIVE STARS!!!!!!
Find the greatest common factor of each pair of numbers.
1. 24 and 36

2. 39 and 54

3. 42 and 98

4. 48 and 72

5. 65 and 91

6. 7 and 20

Answers

Vas happenin!!

1. 12
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 12.

2. 3

The factors of 39 are: 1, 3, 13, 39

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 3.


3. 14

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14.


4. 24

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Then the greatest common factor is 24.


5. 13

The factors of 65 are: 1, 5, 13, 65

The factors of 91 are: 1, 7, 13, 91

Then the greatest common factor is 13.


6. 1

The factors of 7 are: 1, 7

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 1.


Hope this helps you *smiles*

1. 12
2. 3
3.14
4.24
5.13
6.1

Finish the distance formula.

|P1P2| = d =

Answers

Answer:

d =  |p^3|

Step-by-step explanation:

The answer is D=|p^3|

WILL MARK BRAINLIEST! Solve for X and Y

Answers

Answer:

1a) x = -41

1b) x = -1

1c) x = 29/3, or x = 9.66 in decimal form

1d) x = -4

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

2a) y = -3

2b) y = -60

2c) y = -83

2d) y = -50

Step-by-step explanation:

1a) y = x  + 11

-30 = x  + 11

-11           -11

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

-41 = x

1b) y = -2x - 32

-30 = -2x - 32

+32         +32

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

2 = -2x

/-2   /-2

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

-1 = x

1c) y = -3x - 1

-30 = -3x - 1

+1             +1

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

-29 = -3x

/-3     /-3

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

29/3 = x

9.66 = x

1d) y = 5x - 10

-30 = 5x - 10

+10         +10

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

-20 = 5x

/5      /5

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

-4 = x

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

2a) y = x + 3

y = -6 + 3

y = -3

2b) y = -2x - 72

y = -2(-6) - 72

y = 12 - 72

y = -60

2c) y = 3x - 65

y = 3(-6) - 65

y = -18 - 65

y = -83

2d) y = 4x - 26

y = 4(-6) - 26

y = -24 - 26

y = -50

 

A. x=-41 b.x=-1 c.x=29/3 d.x=-4/////// a.y= -3 b.y=-60 c. y=-83 d.y=-50
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