MATHEMATICS MIDDLE SCHOOL

what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.

Answers

Answer 1
Answer:

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=(p)/(q) and b = Any fraction=(u)/(v)

now ,

(p)/(q) + (u)/(v)

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,(p)/(q) + (u)/(v)

=\frac{{(r)/(q)}* p+{(r)/(v)* u}}{r}\n

= {{(r)/(q)}* p+{(r)/(v)* u}} = k

then ,

a + b=(k)/(r)

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1+4 = 5
2+5 = 12
3 + 6 = 21
8 + 11= ?

Answers

The correct answer is 40. Hope that helps!
(1x4)+1=5
(2x5)+2=12
(3x6)+3=21
(8x11)+8=96

I'm not sure but that's my guess

Stuck on this math question

Answers

Answer:

SinA = √5/3

CosB = √5/3

Step-by-step explanation:

First let us find the value of a. This is illustrated below:

a^2 = 6^2 — 4^2

a^2 = 36 — 16

a^2 = 20

Take the square root of both side

a = √20 = √(4 x 5) = √4 x √5

a = 2√5

From the diagram,

For sinA

Opp = 2√5

Hypo = 6

Adj = 4

SinA = opp /Hypo

SinA = 2√5/6

SinA = √5/3

For CosB

Opp = 4

Hypo = 6

Adj = 2√5

CosB = Adj /Hypo

CosB = 2√5/6

CosB = √5/3

Gina charges $28 for 3 hours of swimming lessons. Hector charges $18 for 2 hurs of swimming lessons. Which instructor offers a better deal?

Answers

Answer:

Hector offers a better deal:  $18 for 2 hours.

Step-by-step explanation:

 1. You have the following information given in the problem above:

- Ginas offers $28 for 3 hours.

-  Hector offers: $18 for 2 hours.

2. Then, you must write the rates:

a) $28 for 3 hours:

(28)/(3)=9.33 dollars per hour.

b)  $18 for 2 hours:

(18)/(2)=9 dollars per hour.

3. Therefore, the better deal is $18 for 2 hours

Answer:

Hector is providing best deal.

Step-by-step explanation:

Given data:

Gina charges = $28

Time by Gina = 3 hours

Hector charges = $18

Time by Hector = 2 hours

Solution:

Charges per hour by Gina = $28/3

                                            = $9.33

Charges per hours by hector = $18/2

                                                 = $9

Hence hector charges low per hour than Gina. So hector provides the best deal.

Explanation:

Now the both instructor provides lesson with different charges with different hour. So if we calculate the charges per hour than the charges per hour Gina is charging more than hector.

Hector is charging $9 for one hour and $27 for 3 hour while Gina is charging $28 for 3 hours.

So the Hector is providing best deal.

12 21 23 32 34 43 what is the next numbers

Answers

The next numbers in the sequence 12, 21, 23, 32, 34, 43, ..... are 45, 54, 56, .....

What is a sequence?

In Mathematics and Geometry, a sequence is a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.

By critically observing the sequence, we can logically deduce that it represents an addition series in which both 9 and 2 are added alternatively to the sequence as follows;

12 + 9 = 21

21 + 2 = 23

23 + 9 = 32

32 + 2 = 34

34 + 9 = 43

43 + 2 = 45

45 + 9 = 54.

54 + 2 = 56.

Read more on sequence here: brainly.com/question/24989563

#SPJ6

after each number you had 11

so when you subtract

32-12 = 11

now add this 11 to 43

11+43 = 54

so the next numbers are 45 and 54


I hope that's help ! Please let me know if you have questions !

I need help please and thank you

Answers

Answer:

The first ratio is 2:3:5 but that's all I can do with that

Step-by-step explanation:

5 (2y - 2) + 4 = 4 what does y equal

Answers

solve your equation step-by-step.

5(2y−2)+4=4

Simplify both sides of the equation.

5(2y−2)+4=4

(5)(2y)+(5)(−2)+4=4(Distribute)

10y+−10+4=4

(10y)+(−10+4)=4(Combine Like Terms)

10y+−6=4

10y−6=4

Add 6 to both sides
.
10y−6+6=4+6

10y=10

Divide both sides by 10.

10y/10 = 10/10

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