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

Rewrite the product as a power: a^7 *y^7

Answers

Answer:

ay^7

Step-by-step explanation:

just give me the points.

Factorise 3x^2 +37x+70

Answers

Answer:

If it needs to be factored by grouping the answer would be (3x+7) and (x+10).

Step-by-step explanation: I don't know how to explain but I hope this helped.

HELPPPPPPPPP ASAPPPPPPPP PLSSSS

Answers

-1/3(px-2) = 9

ok! so first we want to isolate x.

multiply both sides by -3/1 (this is the reciprocal of -1/3)

(px-2) = -27

px = -27 + 2

px = -25

x = -25/p

hope this helped!

The number of tons of wheat the government can afford to buy if it spends total of $100 million, wheat costs $300 per ton, and it must buy 5 fighter planes at $15 million each.

Answers

Total amount, T = $100 million.

Cost of wheat per ton, C = $300 .

Price per fighter plane, c = $15 million.

Now,

Price of 5 fighter planes, P = $( 15 × 5 ) = $75 million.

Amount left = $( 100 - 75 ) = $25 million.

So,

Number of tons of wheat government can buy is :

[tex]n=\dfrac{25\times 1000000}{300}\\\\n = 83333.33\ tons[/tex]

Therefore, number of tons of wheat the government can afford is 83333.33 tons.

Hence, this is the required solution.

HELP PLEASE SHOW YOUR WORK TO!!!!!!!

Answers

Answer:

V/3k = t

Step-by-step explanation:

Isolate the variable (t)

V = 3k/t

We have to get rid of 3 and k to isolate t

Since 3 and k are part of a fraction we can multiply it by their reciprocal

V = 3k/t × 1/3k

What we do to one side, we must do to the other

V × 1/3k = 3k/t × 1/3k

The reciprocals equals 1

V × 1/3k = t × 1

Any number or variable multiplied by 1 equals itself (applies to both sides of the equation)

V/3k = t

There are 1 × 1014 good bacteria in the human body. There are 2.6 × 1018 good bacteria among the spectators in a soccer stadium. About how many spectators are in the stadium? Express your answer in scientific notation.

Answers

Answer:

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

[tex]x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}[/tex]

[tex]x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}[/tex]

[tex]x = 2.6\times 10^{18-14}[/tex]

[tex]x = 2.6\times 10^{4}[/tex]

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

The function rule of a certain function is y = -3x + 1. If the input is 7, what is the output?

Answers

Answer:

-20

Step-by-step explanation:

y = -3x+1

if the input is 7, it means x=7 so substitute in the equation

y= -3*7+1 = -21+1= -20 which is the output

Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.

Answers

Answer:

4

Step-by-step explanation:

30 minus 14 = 16 and 16 divided by 4 is 4. so the answer is 4

write this equation in word form.
x3 + 1

Answers

Answer:

X cubed plus one

Step-by-step explanation:

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.98 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.02. How much does an average movie ticket cost in each of these​ countries?

Answers

Answer:

$79.98-$75.02=$04.96

Answer:

$04.96 is right answer am I right or wrong hope I am right

Nick and his family traveled by train to New York City. The clocks show when the train left the station and when it arrived in New York City. How long was the train ride?

Answers

Answer:

Answer: 4 hr 15 min is the right answer

8. A yard is closest in distance to a
a. kilometer.
b. centimeter.
C. meter.
d. millimeter.

Answers

Answer:

meter

Step-by-step explanation:

Answer:

Meter

Step-by-step explanation:

Kilometer is too long

Centimeter is too shot

Millimeter is way too short

Meter is the closest to yard

1 meter equals 1.09361 yards

Please Help Me with this Step by step:
12-(3x+13)=0

Answers

Distributive property
12-3x-13 = 0
Combine like terms
-1-3x = 0
-3x = 1
Divide by -3
x = -1/3

what is the answer?​

Answers

Answer:

(2/5, 26/5)

Step-by-step explanation:

graph them on desmos

A 1-litermbottle of orange juice used to cost $2.85 at a food market. its price has increased; the new price is 110 percent of the original price. What is the new price? Round your answer to the nearest cent

Answers

the new price is $3.14

2x to the power of negative 1, multiplied by 4x squared equals

Answers

Answer:

=-8x^3

Step-by-step explanation:

=2x^-1×4x^2

=-2x×4x^2

=-8x^3

(2x)⁻¹ × (4x)² = 8x

2x to the power of negative 1 is represented as follows

(2x)⁻¹

The value((2x)⁻¹) multiplied by 4x squared is represented as follows

(2x)⁻¹ × (4x)²

Therefore,

(2x)⁻¹ × (4x)²  = (2x)⁻¹ × 16x²

(2x)⁻¹ × 16x²  = [tex]\frac{1}{2x}[/tex] × 16x²

[tex]\frac{1}{2x}[/tex] × 16x²  = 8x

Read more here: https://brainly.com/question/17562073?referrer=searchResults

Today, everything at a store is on sale. The store offers a 20% discount.

a. The regular price of a T-shirt is $18. What is the discount price?

Type the answer in the box below.

$


b. If the regular price of an item is x dollars, what is the discount price in dollars?

Type the correct expression in the box below.

$$


c. The discount price of a hat is $18. What is the regular price?

Type the answer in the box below.

$

Answers

Answer:

A. $14.40

B. ?

C. $21.60

Step-by-step explanation:

I just know it’s right lol

What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.​

Answers

Well.

Step-by-step explanation:

For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.

Step-by-step explanation:

You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah

Put these in order starting from the smallest
5^2 2^4 3^3 1^8

Answers

Answer:

1^8, 2^4, 5^2, 3^3 is the answer.

The numbers ordered from the smallest to the largest is [tex]1^{8} , 2^{4} , 5^{2} , 3^{3}[/tex].

What is the order of the numbers?

In order to determine the order of the numbers, we have to solve for the numbers. The power of a number can be solved by multiplying a number by its number of power.

[tex]5^{2}[/tex] = 5 x 5 = 25

[tex]1^{8}[/tex] = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

3³ = 3 x 3 x 3 = 27

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16

To learn more about perfect squares, please check: https://brainly.com/question/22947195

someone help me with this please

Answers

Answer:

7.5+8

Step-by-step explanation:

An object was dropped off the top of a building. The function
f
(
x
)
=

16
x
2
+
256
f(x)=−16x
2
+256 represents the height of the object above the ground, in feet,
x
x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

f(−1)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
1.5
)
=
f(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
6
)
=
f(6)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is .

Answers

What is the equation, it’s hard to understand

Answer:

What is the equation, it’s hard to understand

Step-by-step explanation:

What is the best estimate of the measure of the angle shown?

Answers

*answer was incorrect please see below*                                                                                                    

141°
as the angle is obviously larger than 90°, but not large enough to be 171° as if it were so it would be closer to a straight line (since 171° is closer to 180°) hence, the answer is 141° as it is the only option in between.

For the Noah and Andres question: To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line? Sorry this is long

Answers

Answer:

On the number line:

a) 0.6666666667 scoops per powder

b) 0.625 scoops per powder

Step-by-step explanation:

For the Noah and Andres question:

To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.

Unit rate = scoops per cup

= 4 Scoops/6 cups

= 2/3 scoops per powder

= 0.6666666667 scoops per powder

Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?

Unit rate = scoops per cup

= 5 Scoops/8 cups

= 0.625 scoops per powder

bye cus im so bad at math smh.

on top it says:
“The graph shows the amount two cleaning companies are charged based on the number of hours it takes them to clean.”
SOMEONE HELP PLS

Answers

The answer is the third one. Trust me. I don't feel like explaining.

Step-by-step explanation:

The radius of a circle is 16.7 in. Find the circumference to the nearest tenth.

Answers

The correct circumference is 105 inches.
16.7 inches times 3.14 in or pie, equals 52.4 inches, and because you were given the radius and not the diameter, you multiply 52.4 inches by 2 to get 104.9 or 105 inches.

The circumference of the circle is 105 in to the nearest tenth.

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We are given that the radius of a circle is 16.7 in.

We need to determine the circumference to the nearest tenth.

Radius r = 16.7

Then circumference of the circle = 2πr

= 2 x 3.14 x 16.7

= 104.87

Therefore, the circumference of the circle is 105.

Learn more about circumference here;

brainly.com/question/12512221

#SPJ2

What is the value of x

Answers

Answer:

x=39

Step-by-step explanation:

First I try to find the angle measurements for the rest of the angles inside the triangle. I saw that the 68 degrees and I notice that it was vertical angles, meaning that the inside is also 68. I then notice that the 107 and the other unknown angle besides x must be 180 when adding up, so I can do 180-107=73. Now I know that that angle is 73 degrees I can find x by solving this equation 180=73+68+x, which the answer comes out to be 39. so x=39.

Hope this helps you

I need help with this ​

Answers

Answer:

-6

Step-by-step explanation:

greater than -8

absolute value is even

absolute value is between 5 & 11

7. Elijah's puppy weighs 35 ounces. If he weighed 19 ounces at the last visit
to the veterinarian's office, what is the percent increase in the puppy's
weight rounded to the nearest whole number?

Answers

Answer:

40 make me brainliest whbsbsvssvvsgwvwv

Answer:

52%

Step-by-step explanation:

so 35 is a hundred and the divide by 2 which is 17.5 and round the colosestwhich is 52

Help out hereeeeeeeeeeee

Answers

Answer:

C.

Step-by-step explanation:


pls help I will give you brainliest just help please

Answers

Answer:

The answer is A & D.

Step-by-step explanation:

Hope this helps

Given: -2(5x-3/4)=-10x+3/2

-2(5x)+(-2)(-3/4)

=-10x+3/2

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