If you want to add or subtract fractions, what is the first thing you need to do?​

Answers

Answer 1

Answer:

take lowest common factor

Step-by-step explanation:

Answer 2

Answer:

Find the least common denominator for both fractions and set up the fractions so they can both contain that same denominator.

Step-by-step explanation:

For example, let's say you want to add the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{2}{7}[/tex].

First, you will want to find the least common demoninator.  Write out the multiples for both denominators originally given, in this case 4 and 7.  Let's go up to 4*10 and 7*10:

4: 4,8,12,16,20,24,28,32,36,40

7: 7,14,21,28,35,42,49,56,63,70

Se which number in both sets is the first number to be the same in both sets.  That will be your least common denominator.  In this case, the least comon denominator is 28.

To set the fractions right, you would need to multiply the first fraction, 3/4, by 7/7: [tex]\frac{3}{4}*\frac{7}{7}=\frac{21}{28}[/tex]

Then, you would need to multiply the second fraction, 2/7, by 4/4: [tex]\frac{2}{7}*\frac{4}{4}=\frac{8}{28}[/tex]

Now, since both fractions have a common deonminator now, you can add them togther and simplify afterwards if you need to:

[tex]\frac{21}{28}+\frac{8}{28}=\frac{29}{28}=1\frac{1}{28}[/tex]

And that's it.


Related Questions

simpily 2^3×3^2=6^5​

Answers

Answer:

2^3×3^2=6^5​  equation is wrong because

2×2×2×3×3=72

6^5=6×6×6×6×6=36×36×6=7776

the two numbers are not equal

Mate, I think your question is wrong ! ;(

[tex]Corrected \\ Question...\\[/tex] (2^3)^2*(3^2)^3=6^5

how do you solve 2m-10=44+8m

Answers

Answer:

m = -9

Step-by-step explanation:

2m-10=44+8m

Subtract 2m from each side

2m-2m-10=44+8m-2m

-10 = 44+6m

Subtract 44 from each side

-10-44 = 44-44+6m

-54 = 6m

Divide by 6

-54/6 = 6m/6

-9 = m

Answer:

solve by solving the salvation for equation don't be a slave get educated from what's gave

 If 2x3 – 4x2 + kx + 10 is divided by (x + 2), the remainder is 4. Find the value of k using remainder theorem. Please help :)​

Answers

The polynomial remainder theorem states that the remainder of the division of a polynomial [tex]P(x)[/tex] by [tex]x-a[/tex] is equal to [tex]P(a)[/tex].

Therefore

[tex]P(-2)=4\\2\cdot(-2)^3 - 4\cdot(-2)^2 + k\cdot(-2) + 10=4\\-16-16-2k=-6\\-2k=26\\k=-13[/tex]

3.1x^3-2.4x² +6x – 3 = 4x² + 3x +2


solving problem​

Answers

Answer:

The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Step-by-step explanation:

The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2

Which gives;

3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0

3.1·x³ - 6.4·x²+ 3·x  - 5 = 0

Factorizing online, we get;

3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0

Therefore, the possible solutions are;

x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0

The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;

x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.

In Exercises 22 describe how the change affects
the surface area of the right prism or right cylinder. Thank you!!

Answers

Step-by-step explanation:

Total Surface Area of original cylinder

= (2×(22/7)×9)(9+24)

=18×22/7×33

=1,866.8

Total Surface Area of new cylinder

=(2×(22/7)×9/3)(9/3+24/3)

=(2×(22/7)×3)(3+8)

=6×22/7×11

=207.4

Change or Ratio of org. cylinder to new cylinder

=1,866.8/207.4

=9.0009

A group of 6 people planned to spend $10.00 each to
rent a boat for an outing. At the last minute, 1 person
could not go on the outing. The others then paid
equally for the boat. How much did each pay?

Answers

Answer:

the ansser is $12

Step-by-step explanation:

becases 10 *6 is equal  to 60 so if 1 person  can not pay then you divide 60 by the remaineing 5 to get 12

A group of 6 people planned to spend $10.00 each to rent a boat for an outing. Each person have to pay 12 dollars.

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

A group of 6 people planned to spend $10.00 each to rent a boat for an outing. At the last minute, 1 person could not go on the outing.

10 x 6 = 60

So if 1 person can not pay then

We will divide 60 by the remaining 5

60/ 5 = 12

Therefore, Each person have to pay 12 dollars.

Learn more about unit price here:

https://brainly.com/question/945712

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11. House Prices In 1985, the median selling price of an
existing single-family home in Atlanta, Georgia, was
$66,200. Between 1985 and 1990, the average price in-
creased by 30%. Between 1990 and 2005, the average
price increased again, this time by 15%. What was the
median house price in Atlanta in 2005? -

Answers

Answer:

            $98,969

Step-by-step explanation:

$66,200  - the median selling price of a home in 1985

and the price increased by 30%:

66,200•30% = 66,200•0.3 = 19,860

66,200 + 19,860 = 86,060

$86,060 - the median selling price of a home in 1990

and the price increased by 15%

86,060•15% = 86,060•0.15 = 12,909

86,060 + 12,909 = 98,969

$98,969  - the median house price in Atlanta in 2005

Helppp 100pts


A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and receives a report assessing favorable or unfavorable viewer response. In the past, 60% of the network's shows have received a favorable response from viewers, and 40% have received an unfavorable response. If 50% of the network’s shows have received a favorable response and have been successful, and 30% of the network’s shows have received an unfavorable response and have been successful, what is the probability that this new show will be successful if it receives a favorable response? A. 0.41 B. 0.53 C. 0.67 D. 0.70 E. 0.83

Answers

Answer:

.83

Step-by-step explanation:

If you take 100 shows 60 shows got favorable response and in that 50 shows were successful.

So probability for a show to be successful if it got a favorable response is = 50/60 = 0.83

Answer:

Ty for the free points

Step-by-step explanation:

✊✊✊

243 as a power of 3

Answers

Answer:

243 as a power of 3

= 3^5

=243

Please Help, I can't figure out this problem

Find the distance between the points (9,-7) and (5, -4).

A.
[tex] \sqrt{137} [/tex]
B.
5

C.
[tex] \sqrt{7} [/tex]
D.
25​

Answers

Answer:

The answer is 5 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

[tex]d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} [/tex]

We have the final answer as

5 units

Hope this helps you

I NEED HELP PLEASE ! I GIVE 5 STARS !

Answers

Answer:

2

Step-by-step explanation:

Remember, a radical is the same thing as an exponent, but as a fraction. Therefore, instead of taking the 12th of the root, you can put [tex]8^4[/tex] to the 12th power like this: [tex](8^4)^{\frac{1}{12} }[/tex]

The two exponents can multiply together, so now it'll be [tex]8^{\frac{4}{12} }[/tex] which is [tex]8^{\frac{1}{3} }[/tex] when reduced

[tex]8^{\frac{1}{3} }[/tex] is the same thing as [tex]\sqrt[3]{8}[/tex]

Now, think about which number, when multiplied by itself 3 times is equal to 8... that number is 2--your answer

Answer:

2

Step-by-step explanation:

make it simple.. use a scientific calculator.

= ¹²√8⁴

= ¹²√4096

= 2

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6? left 3 units, down 3 units right 3 units, down 3 units left 6 units, down 1 unit right 6 units, down 1 unit

Answers

Answer:

its not 1, its the second one (B)

Step-by-step explanation:

Answer:

I know I'm 1 year late but B is the correct answer choice. I just did it on edge 2021.

I'm just big brain.

31y+12y= combine like terms

Answers

Answer:

43y

Step-by-step explanation:

31y+12y

combine like terms

Factor out y

y( 31+12)

y (43)

43y

Since we are dealing with two numbers with the same variable (y), all we need to do is combine like terms.

31y + 12y = 43y

Best of Luck!

Rank the total mass of each stack

Answers

Answer:

Stack A (12M) > Stack D (9M) > Stack E (8M) > Stack B (6M) and Stack C (6M)

Step-by-step explanation:

Stack A has [tex] 6M + 2M + 4M = 12M [/tex]

Stack B has [tex] 2M + 2M + 2M = 6M [/tex]

Stack C has [tex] M + 5M = 6M [/tex]

Stack D has [tex] M + 3M + 5M = 9M [/tex]

Stack E has [tex] 5M + 3M = 8M [/tex]

The total mass of each stack from the highest to the least can be ranked as follows:

Stack A (12M) > Stack D (9M) > Stack E (8M) > Stack B (6M) and Stack C (6M)

Mikayla has $32 in her piggy bank. Her sister, Jessica, has $21. Mikayla earns $10 a week by doing chores for her grandparents, while Jessica earns $12 a week by mowing lawns. Which expressions give how much more or less money Mikayla has compared to Jessica after x weeks? Check all that apply. 11 – 2x ,2x – 11, 11 + 22x ,32 + 10x – (21 + 12x) 32 – 21 + 10x – 12x

Answers

Answer:

Hey There!! The answer to this is: 32+10x-(21+12x) We are given that:

Amount MIkayla has in here piggy bank initially = $32

Money earned by Mikayla per week = $10

Money earned by Mikayla in x weeks = 10x

Total money MIkayla has after x weeks = 32+10x

Amount Jessica has in here piggy bank initially = $21

Money earned by Jessica per week = $12

Money earned by Jessica in x weeks = 12x

Total money Jessica has after x weeks = 21+12x

Comparing,

In order to compare, we subtract the money earned by Jessica from that earned by MIkalya,

The final expression would be:

32+10x-(21+12x

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

1

4

5

Step-by-step explanation:

Factorise : x^2+x-72 Step by Step​

Answers

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

     = x^2 - 8x + 9x - 72

     = (x^2 - 8x) + (9x - 72)

     = x(x - 8) + 9(x - 8)

     = (x + 9)(x - 8)

Answer:

              x² + x - 72 = (x + 9)(x - 8)

Step-by-step explanation:

[tex]x^2+x-72\quad \implies\quad a=1\,,\quad b=1\,,\quad c=-72\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-72)}}{2\cdot1}=\dfrac{-1\pm\sqrt{1+288}}{2}=\dfrac{17\pm\sqrt{289}}{2}\\\\x_1=\dfrac{-1-17}{2}=-9\quad,\qquad x_2=\dfrac{-1+17}{2}=8\\\\\\x^2+x-72=(x-(-9))(x-8)=(x+9)(x-8)[/tex]

or:

     x² + x - 72 =

= x² + 9x - 8x - 72 =

= x(x + 9) - 8(x + 9) =

= (x + 9)(x - 8)

Follow the process of completing the square to solve x2 = -4x + 3

Answers

Answer:

x1 = 0.64575

x2 = -4.64574

Step-by-step explanation:

Step 1: We want to rearrange the equation so all the variables are on one side

0 = -x² - 4x + 3

Step 2: We take out -1 in the first 2 terms so a = 1

0 = -(x² + 4x) + 3

Step 3: Force a square, take the 'b' value and divide it by 2 and square the result. Add it and subtract it from the inside of the brackets

b = 4

4/2 = 2

2² = 4

0 = -(x² + 4x + 4 - 4) + 3

Step 4: Move the -4 out remembering to apply the -

= -(x² + 4x + 4) + 4 + 3

Step 5: We notice is inside the brackets is a perfect square

0 = -(x + 2)² + 7

Therefore the vertex form of the equation is

y = -(x + 2)² + 7

Step 6: We want to solve the equation (find the x intercepts) so we set y to 0 and solve for x

0 = -(x + 2)² + 7

-7 = -(x + 2)²

7 = (x + 2)²

[tex] \sqrt{7 } = x + 2 [/tex]

[tex]x = \sqrt{7} - 2[/tex]

1st Solution:

x = +2.64575 - 2

x = 0.64575

2nd Solution:

x = -2.64575 - 2

x = -4.64574

Need help and will mark brainlist and thank You


In a circle whose center is O, arc AB contaisn 100 degrees. Find the number of degrees in angle ABO?

Answers

Answer:

  40

Step-by-step explanation:

Angles ABO, BAO, and AOB are the angles of isosceles triangle AOB. The angles at A and B are equal, so we have ...

  AOB +2ABO = 180° . . . . . sum of angles in the triangle

  100° +2ABO = 180° . . . . . . use the given value

  50° +ABO = 90°  . . . . . . . . divide by 2; next, subtract 50°

  ∠ABO = 40°

Write the equation of a circle with a center at (12, 6) and a radius of 6.

Answers

Answer:

(x-12)² + (y-6)² = 36 (Option C)

Step-by-step explanation:

use circle formula

(x-h)² + (y-k)²= r²

h= 12 and k= 6 and r= 6

(x-12)² + (y-6)² = 6²

6 squared = 36 (6·6)

(x-12)² + (y-6)² = 36

What rational number, when multiplied by an irrational number, has a product that is a rational number? (1 point)
оооо

Answers

Answer:

It's 0

Step-by-step explanation:

Why?

Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.

For example, 5.6371...... x 0 = 0

5/6 = b/12 help please

Answers

Answer:

[tex]b = 10[/tex]

Step-by-step explanation:

We can use the cross products property and solve for b.

[tex]\frac{5}{6} = \frac{b}{12}\\\\\\b=(12\cdot5)\div6\\b=60\div6\\b=10[/tex]

Hope this helped!

Answer:

The answer is b=10

Step-by-step explanation:

All you need to do is think 12/6 is what, the answer would be 2, then you would multiply the numerator by 2, which would be 5*2 which is 10.

Thank you, Hope this helps you.

What is the square root of 100?


Answers

Answer:

10

Step-by-step explanation:

Square root of 100 is 10

Answer:

10

Step-by-step explanation:

The square root of 100 is written as 2√100=√100=±10.

So it is 10.  Also, 10 times 10 equals 100, so it checks out.

A square root is just two of the same numbers added together to equal a specific number.

Maths!
1) Calculate the variance and standard division of the set of the data

2) If each value is added by 2, calculate the new standard deviation of the set

3) What is the effect on the measure of dispersion if each value is changed uniformly ​

Answers

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

              X                     [tex]X-\bar X[/tex]                   [tex](X-\bar X)^{2}[/tex]

              5                   5 - 8 = -3                     9

              5                   5 - 8 = -3                     9

              8                   8 - 8 = 0                      0

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

              9                   9 - 8 = 1                       1

              9                   9 - 8 = 1                       1

              6                  6 - 8 = -2                    4                

Total    72                                                   36      

Firstly, the mean of the above data is given by;

              Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                              =  [tex]\frac{72}{9}[/tex]  = 8

(1)Now, the variance of the given data is;

            Variance  =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]

                                  =  [tex]\frac{36}{9-1}[/tex]  = 4.5

So, the standard deviation, (S.D.)  =  [tex]\sqrt{\text{Variance}}[/tex]

                                                        =  [tex]\sqrt{4.5}[/tex] = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

              X                     [tex]X-\bar X[/tex]                   [tex](X-\bar X)^{2}[/tex]

              7                   7 - 10 = -3                     9

              7                   7 - 10 = -3                     9

             10                  10 - 10 = 0                     0

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

              11                  11 - 10 = 1                       1

              11                  11 - 10 = 1                       1

              8                  8 - 10 = -2                    4                

Total    90                                                   36      

Firstly, the mean of the above data is given by;

              Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                              =  [tex]\frac{90}{9}[/tex]  = 10

(1)Now, the variance of the given data is;

            Variance  =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]

                                  =  [tex]\frac{36}{9-1}[/tex]  = 4.5

So, the new standard deviation, (S.D.)  =  [tex]\sqrt{\text{Variance}}[/tex]

                                                                =  [tex]\sqrt{4.5}[/tex] = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged as we see in the case of variance or standard deviation.

Find the area of the shape shown below.
12
5
5
units

Answers

Answer:

42.5 units²

Explenation:

The area of the square on the left is 5×5=25.

At the top you do 12-5=7 to find the length of the tringle.

Than it is 7×5=35 than this divided by two, so 17.5.

You add both areas 25+17.5=42.5

Answer:

42.5 square units

Step-by-step explanation:

Separate shape into a square and a triangle

Calculate the area of the square (5*5=25 square units)

Calculate the are of the triangle (7*5/2=35/2= 17.5 square units)

Add together (17.5+25=42.5 square units)

the school bought a sandbox that measures 50 meters long 25 meters wide and 5 meters tall how many cubic meters if sand would you need to buy if each cubic meter of sand cost $1.50 how much money would it cost to fill the sandbox

Answers

Answer:

Cost of sandbox = $9,375

Step-by-step explanation:

Given:

Height of sandbox = 5 m

Length of sandbox = 50 m

Width of sandbox = 25 m

Cost of 1 cubic meter = $1.50

Find:

Cost of sandbox

Computation:

Volume of sandbox = (50)(25)(5)

Volume of sandbox = 6,250 m³

Cost of sandbox = 6,250 × $1.50

Cost of sandbox = $9,375

What is the value of "c" in the quadratic equation 3x^2 + 5x + 7 = 0?

Answers

Answer:

c = 7

Step-by-step explanation:

ax^2 + bx + c = 0

3x^2 + 5x + 7 = 0

c = 7

in this equation the answer would be 7!! hope this helps :)

What is the product? One-fourth times three and two-thirds

Answers

Answer:

11/12

Step-by-step explanation:

The product of One-fourth times three and two-thirds will be 1 / 2.

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that, the numbers are one-fourth times three and two-thirds. The product of the numbers will be calculated as,

Product =  ( 1 / 4 ) x ( 3 ) x ( 2 / 3 )

Product = 6 / 12

Product = 1 / 2

Therefore, the product of One-fourth times three and two-thirds will be 1 / 2.

To know more about multiplication follow

brainly.com/question/10873737

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m +2p; use m = 2, and p = 4​

Answers

Answer:

10

Step-by-step explanation:

m + 2p

2 + 2(4)

= 2 + 8

= 10

Answer:

10

Step-by-step explanation:

m +2p;

let m = 2, and p = 4​

2+2*4

2+8

10

19 x97 find the product using suitable properties​

Answers

Answer:

19 x 97 = 1843

my age is 13 and i was born in 2006 and my brother was born in 2004 how old he.is​

Answers

15 is the age for your brother

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Other Questions
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