Insert a rational number between 1/2 and 1/3 by mean method?​

Answers

Answer 1

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

To find a rational number by the mean method.

Add the 2 fractions and divide the result by 2

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]

To add the fractions we require them to have a common denominator.

The LCM of 2 and 3 is 6 ← required common denominator

Multiply numerator/denominator of first fraction by 3

Multiply numerator/denominator of second fraction by 2

= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]

= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )

= [tex]\frac{5}{6}[/tex]

Now divide by 2

[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )

= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]

= [tex]\frac{5}{12}[/tex]

This is the fraction midway between the 2 given fractions


Related Questions

PLEASE HELP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:

A.

Step-by-step explanation:

It is the final step when doing math like that.

can someone please help me with please and thank you

Answers

Answer:

47 DEGREES

Step-by-step explanation:

AOB + BOC = 180 (STRAIGHT LINE)

THEREFORE

(3x + 124) + (6x + 29)  = 180

9x + 153 = 180

9x = 27

x = 27/9

x = 3

THEREFORE

6x + 29

(6*3) +29

18 + 29

47 DEGREES = BOC

Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks

Answers

Answer:

C. It is a whole number that is neither prime nor composite.

Step-by-step explanation:

A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.

However, a composite number must have more than two factors, which 1 doesn't have either.

Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.

Have a nice day!

Answer:

C!

Step-by-step explanation:

hope it helped

Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?

Answers

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

one step equations, solve:
-6=y+2

Answers

Well I don’t know if you want to know how to solve it but y = -8
y=-8 are u in middle school or something

which pair of numbers shows an integer and its opposite?
1 point
A.7 , -7
B.7 , 1/7
C.-7 , 1/7
D.1/7 , 1/7

Answers

The answer is A. 7 , -7 because and integer is a whole number not a fraction. Answers B, C, and D all have fractions.
The answer is a because the absolute value of -7 is 7 therefore the answer to the question is simply a

Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the
services provided.

Answers

Answer:

Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.

Step-by-step explanation:

This is sample response

The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Brody had his computer repaired at Store A. His bill was:

Initial Repair Cost = $1,200

Sales Tax of 6 percent = $72.00

A gratuity of 15 percent

Total cost = 1200 + 72 = 1272

The gratuity for the services provided = 0.15x1272 = $190.8

Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

Learn more about the percentage here:

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what is 0.969696 repeating as a fraction?

Answers

Answer:

[tex]\frac{32}{33}[/tex]

0.62, 0.38, 0.35, 0.49, 0.1, 0.21, 0.54, 0.6, 0.51, 0.28 Least to Greatest *

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

0.1, 0.21, 0.28, 0.35, 0.38, 0.49, 0.51, 0.54, 0.60, 0.62.

Drag the tiles to the correct boxes. Not all tiles will be used.
Match each equation with a value of x that satisfies it.

Answers

Answer:

2, - 3, 18

Step-by-step explanation:

1). [tex]\sqrt[3]{1-x}[/tex] = - 1

( [tex]\sqrt[3]{1-x}[/tex] )³ = ( - 1)³

1 - x = - 1 ⇒ x = 2

2). [tex]\sqrt{x^2 +7}[/tex] = 4

( [tex]\sqrt{x^2 +7}[/tex] )² = 4²

x² + 7 = 16 ⇒ x = ± 3 ; x = - 3

3). [tex](x-2)^{\frac{1}{4} }[/tex] = 2

[tex][(x-2)^{\frac{1}{4} }] ^{4}[/tex] = [tex]2^{4}[/tex]

x - 2 = 16

x = 18

Select the better deal in the pair. Then give the unit rate for the better deal.

$56/25 gal
or
$32.05/15 gal

Answers

Answer:

The better deal is $32.05/15 gal

Step-by-step explanation:

Divide:

56/25

=2.24

32.05/15

=2.13666667

=2.14

The second one is a better deal

Convert 2x + 37y = 18 to point-slope form.

Answers

Answer:

y = -2/37x + 18/37

Step-by-step explanation:

2x + 37y = 18

-2x            -2x

37y = -2x + 18        (Divide 37 on both sides)

Y = -2/37x + 18/37

what is 2/5 of 110??

Answers

Answer:

44

Step-by-step explanation:

Remember that "of" in math means the same as multiplication.

2/5 * 110 = 44

Answer:

44

Step-by-step explanation:

2/5×110

of in mathmatics means multiplication

Therefore, the answer is 44

PLEASE HELP I ONLY HAVE 17 MORE MINUTES!!!!

Answers

The answer is B- k= 1/6

Answer:

A. 6

Step-by-step explanation:

6/1 = 6

mZ1 = 6x and mZ3 = 120 Find the value of x when p is parallel to g.

Answers

Answer:

20

Step-by-step explanation:

m Z1=mZ3 = 120

120÷6=20

X=20

Michelle has 3
3 cups of cereal. A serving of cereal is cup. How many servings of cereal does Michelle have?

Answers

Answer: 4/5

Step-by-step explanation:

4. A map has a scale of 1 inch = 100 miles. The distance between two cities is 7.25 inches. If a car travels
50 miles per hour, about how long will it take to get from one city to another?
hours

Answers

Answer:

14.5 hours/14 hours 30 minutes

Step-by-step explanation:

The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).

Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.

Numbers: 7, 8, 5, 6

You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(​

Answers

7*8-6+5=55

6*5+7+8=45

5*7+8+6=49

I will continue in the comments

what is a tanslation in math

Answers

Answer:

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction

Step-by-step explanation:

HELP!! Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
–$2,419.69
–$1,209.85
$1,209.85
$2,419.69

Answers

The answer is 2,419.69

Answer:

d

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Simplify the expression.
4² . 4². 4²

Answers

Answer:

16.16.16

Step-by-step explanation:

please let me know if I'm wrong

but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16

3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be used? How many pounds of oats will be used?

Answers

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]

[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]

[tex]\Rightarrow 34x= 900(35-12)[/tex]

[tex]\Rightarrow x = (900\times 23)/34[/tex]

[tex]\Rightarrow x = 608.82[/tex] lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Grayson biked 45 miles in 3 hours.Maya bikes 26 miles in 2 hours.If they both kept a constant speed,how much faster did Grason Bike than Maya
Write your answer as a decimal or a whole number

Answers

Answer:

2

Step-by-step explanation:

Divide 45 and 3, then divide 26 and 2. subtract those answers and u get 2. (the dude that said your mom has no life and got his mom raped)

Grason's Bike is 2 miles/hour faster than Maya's if Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.

As we know,

The speed = distance/time

Plug the respective values in the above formula:

For Grayson:

speed = 45/3 = 15 miles/hour

For Maya:

speed = 26/2 = 13 miles/hour

Difference in speed = 15 - 13 = 2 miles/hour

Thus, Grason's Bike is 2 miles/hour faster than Maya's if Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.

Learn more about the distance here:

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Seth's family plans to drive 220 miles to their vacation spot they would like to compare the drive in 4 hours

Answers

Answer:

i think the answer is 55.

Step-by-step explanation:

220 divided by 4 = 55.

Answer:

i don t think i completely understand but they drive 55 miles every hour

Step-by-step explanation:

if this is not your question plz clarify so i can help :)

what are the domain and the range ​

Answers

Answer:

Domain 1,3,5,7,9,11

Range 5,6,7,8,9,10

HELP!!
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?

Answers

Answer:

Option A: f(x) = log_0.98 (n/74)

Step-by-step explanation:

We are told that that the number of species is decreasing by 2% per year.

Thus, number of species each year is 98% or 0.98 of number of species the previous year. .

We are told that there are currently 74 species of amphibians in the rain forest.

Thus, n/74 will represent a fraction of the current number of species.

Thus, the logarithmic function that models the time can be written as;

f(x) = log_0.98 (n/74)

Answer:

A. f(n) = log0.98(n/74)

(got it right on edmentum)

for your assurance please look at the picture below↓

If a train travels 1,600 km in 16 hours, how fast is it moving?

Answers

Answer:

100km per hour

Step-by-step explanation:

16/16= 1 hour

1600/16= 100

Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.

Point-Slope Form
Slope-Intercept Form
Standard Form

Answers

Answer:

y-5=1/3(x-3)

y=1/3x+4

no standard form

Step-by-step explanation:

Tell me a fun fact about horses I will give brainliest to whoever tells me one I don’t know (I have been riding for 12 years) so I know a lot about horses also don’t answer this just for the points or else you will get reported

Answers

Answer:

Horses can sleep both lying down and standing up.

Step-by-step explanation:

A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.

Answers

Answer:

Well i dont know the answers but it is 13.33

Step-by-step explanation:

He can spend 13 dollars per pair of shorts

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