let's find.
\( \frac{3}{4} - \frac{1}{6} \)

Let's Find. [tex] \frac{3}{4} - \frac{1}{6} [/tex]

Answers

Answer 1
When adding and subtracting fractions, we need to get the denominators to be the same. This process is called finding the Least Common Multiple (LCM) of both numbers in the denominators. The LCM is the lowest number that 4 and 6 can form through factors.

So, we need to find the LCM of 4 and 6, so we’ll list the multiples of both numbers to find a common factor.

LCM of 4 and 6:

4: 4, 8, 12, 16

4•1=4, 4•2=8, 4•3=12, and 4•4=15

6: 6, 12, 18

6•1=6, 6•2=12, 6•3=18

The LCM is the product of two factors of different numbers. Looking at the list, the least common multiple is 12 because 12 is a product of two factors of 4 and 6. Therefore, the goal is to get both denominators equal to 12 through multiplication.

3/4 - 1/6

To do this, we need to multiply each fraction by a factor that produces 12. We know that 4•3=12 and 6•2=12, meaning to get 12 as both denominators, we must multiply 3/4 by 3 and 1/6 by 2. Remember, to preserver the fraction’s proportionality, we need to multiply the entire fraction by these factors, meaning the numerator and denominator.

3•3/4•3 - 2•1/2•6

Because 4•3=12 and 6•2=12, the denominators will both be twelve, but the numerators of both fractions also must be multiplied.

9/12 - 2/12

Now that we have common denominators, we can subtract the fractions. The rule for subtracting and adding fractions is to add the denominators and keep the denominators untouched.

9/12 - 2/12 = 9-2/12

Answer: 7/12

Related Questions

Alondra is asked about her age. She answers as follows. "My age is 6 more than four times the age of my son." How old is her son if Alondra is 46 years old?

Answers

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

5 What is the value of m? Show your work 3 5 (2m - 5) = 2(3m - 4)​

Answers

Answer:

70m-175=6m-12

70m-6m=175-12

64m=163

m=163/64

Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?

Number of pounds of type A coffee:

Answers

9514 1404 393

Answer:

  32 pounds

Step-by-step explanation:

Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...

  4.35a +5.80(2a) = 510.40

  15.95a = 510.40 . . . . collect terms

  a = 32 . . . . . . . . . . . divide by 15.95

Number of pounds of type A coffee: 32.

The ratio of green marbles to total marbles in a bag is 2:9. The ratio of red marbles to total marbles in the same bag is 1:3. Which of the following statements is true

Answers

Answer:

answers is 2/3 ok hi your answers

please please help last text then finals l give brainliest

please please help last text then finals l give brainliest

Answers

1. The x - intercepts of the parabola are

x = 2.5 s and x = 7.5 s

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

What is a parabola?

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

x = 2.5 s and x = 7.5 s

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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What is the y-intercept of the function f(x)=4 - 5x?
-5
-4
4
5

Answers

Answer:

4

Step-by-step explanation: Its  4 becuase you plug in the zero like this'

f(x)=4-5(0)

f(0)=4-0

f(0)=4

So it will (0,4)

Your bedroom wall is 221 inches wide. You want to hang two posters, each 28 inches across, with an equal space between each poster and the wall edges.

How many inches of space should you leave between the wall edge and each poster?

Answers

221-28-28=165 (space left after hanging two posters)

165/4 because there will be 4 spaces in total between the wall edge and each poster
Your bedroom wall is 221 inches wide. You want to hang two posters, each 28 inches across, with an equal

a cube has six faces what is the probability that the the number 4 will land face up

Answers

1:6 chance of landing face up

1:6

please mark me brainliest and follow me my friend.

Please awnser asap I am
Stuck

Please awnser asap I amStuck

Answers

Answer:

it is too blury to read

Step-by-step explanation:

An igloo has a circular floor with a diameter of 4 yards. What is the floor's area? Use 3.14 for π​

Answers

Step-by-step explanation:

the answer is A=12.57

A=πr^2

3.14 • 2^2 = 12.57

Can someone help with explanation please:)

Can someone help with explanation please:)

Answers

Answer:

Step-by-step explanation:

Volume of triangular prism:

\(V_{1}\) = \(A_{base}\) × H

Volume of triangular pyramid:

\(V_{2}\) = \(\frac{A_{base} *H}{3}\)

The total volume of figure is

V = \(V_{1}\) + \(V_{2}\)

Can someone help with explanation please:)

Fill in the missing terms to complete the factorization. 15x^2 + x - 2 = (? -1) (? + 2)
a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

Answers

The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

What is the average velocity of a car that .5 hours to drive across Olathe, a distance of 6
miles?

Answers

Average velocity of a car that drive across Olathe is 0.536m/s

Average velocity is defined as a change in position or displacement divided by the time interval in which displacement happened. The average velocity can be positive or negative. The SI unit of Average velocity is meter / seconds

Average velocity = distance / time

Distance given = 6 miles

changing miles into meters by multiplying with 1609.344

Distance in meter = 9656 meters

Time taken = 5 hours

changing hours into seconds by multiplying with 3600

Time in seconds = 18000 seconds

Average velocity = 9656 / 18000

=0.536 m/s

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Completing basic operations with decimals is different than with whole numbers.
Select one:
True
False

Answers

Answer:

Fundamentally, no.

Step-by-step explanation:

It's the same exact concept, only now you are dealing with numbers that are in between two numbers. You still have to follow the same rules though.

(Write a sentence equation ) There are 3 lambs .Each lamb has 4 legs. How many legs are there on 3 Lambs?​

Answers

Answer:

Well its basically 3 x 4 = 12, so for every lamb add four legs until you get to three

Step-by-step explanation:

Dji manufactured the Mavic air 2 quadcopter and offered a 10/8/7 chain discount to primary customers. Drone nerds is a primary customer and ordered 15 mavic Air2's for a total $23,500 list price

Answers

The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.

What is the chain discount?

An assortment of trade discount rates or their sum is referred to as a chain discount.

DJI produced the Mavic Air 2 quadcopter and gave its top clients a 10/8/7 chain discount. The company's main client, Drone Nerds, bought 15 Mavic Air2 drones for a total of $23,500 list price.

Then the price of the DJI Mavic Air2 drones after the chain discount is applied will be

⇒ $23,500 x 0.90 x 0.92 x 0.93

⇒ $18,095.94

The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.

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The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.

Answers

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

3x+4=8y-3 5x+1=10y-4

Answers

Answer:

x-3 and y=2

Step-by-step explanation:

I'll mark whoever answers first!! Please help me

I'll mark whoever answers first!! Please help me

Answers

Answer:

Center ( -8, 1 )

Radius ( 13 )

The Junior class has raised
4/7
of the amount of money that is needed for the Junior-Senior

Prom, and the Senior class has raised 3/11 of the amount of money that is needed. Estimate
what portion of the money the two classes have already raised of the money
A.1/4 of the money
B.all of the money
C.1/2 of the money
D.3/4 of the money

Answers

Answer:

B. all of the money this is my answer

Help me plz need the steps


In Figure 7 (open photo), GH is a diameter of the circle. What is
x² + y² ?

A)58
(B) 49
(C) 10
D) 9
(E) It cannot be determined from the information given.

Help me plz need the stepsIn Figure 7 (open photo), GH is a diameter of the circle. What isx + y ?A)58(B)

Answers

Answer:

\(A)58\)

Step-by-step explanation:

\([Kindly\ refer\ the\ attachment]\\We\ are\ given:\\GH\ is\ the\ diameter\ of\ the\ circle.\\ Also,\\ GM=3\ units\ and\ MH=7\ units\\From\ the\ figure,\\GH\ subtends\ an\ angle\ at\ two\ points\ specifically\ M\ and\ N\ on\ the\\ arc.\\Now,\\We\ know\ that,\\'The\ Angle\ subtended\ by\ the\ diameter\ anywhere\ over\ the\ arc\ of\ the\\ circle\ is\ always\ 90\ degrees'.\\Hence,\\\angle GMH\ = \angle GNH=90\\\)

\(Also,\\Pythagoras\ Theorem\ states\ that: 'In\ a\ right\ triangle,\ the\ sum\ of\ squares\\ \ of\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\ hypotenuse'\\In\ \triangle GMH,\\Since\ \angle GMH=90,\\GM^2+MH^2=GH^2[Through\ Pythagoras\ Theorem]\\Hence,\\Substituting\ GM=3,\ MH=7:\\3^2+7^2=GH^2\\GH^2=9+49=58\)

\(Similarly,\\In\ \triangle GNH,\\Since\ \angle GNH=90,\\GN^2+NH^2=GH^2\\Hence,\\Substituting\ GN=x\ and\ NH=y:\\x^2+y^2=GH^2\\x^2+y^2=58\)

Help me plz need the stepsIn Figure 7 (open photo), GH is a diameter of the circle. What isx + y ?A)58(B)

What is the equation for this line?

What is the equation for this line?

Answers

y=2/3x-4 is the equation of the line where 2/3 is the slope.

We have to find the equation of line which is passing through points (0, -4) and (3, -2).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

Slope = -2+4/3-0

=2/3

Now let us find the y intercept.

-4=2/3(0)+b

b=-4

The equation of line is y=2/3x-4.

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Which one do you like better Manga or Anime

Answers

Answer:

ANIMEEEEEEE

Step-by-step explanation:

Answer:

i like them both but sometimes it depends on what manga or anime it is

like junji ito has great mangas but the animes are kinda bad

death note has a really good manga and tv show

(this is just my opinion tho lol)

A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.

Remaining Amount = 100,000(1 -0.1)3

Answers

The value of the car after 3 years is $79, 000

How to determine the value

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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could someone help with the question (a. and b. ) in the picture please?

could someone help with the question (a. and b. ) in the picture please?

Answers

Answer:

Step-by-step explanation:

Line A: y = 4

x can be anything greater than or equal to 0.

Line B: x = 8

y can by anything greater than or equal to 0.

The comments below the line answer do not have to be there. They are made so you can understand the question better.

A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.​

Answers

Answer:

640 & 400

Step-by-step explanation:

Cost of books: x and 1040-x

x sold at a loss of 15%= .85 x

1040 - x sold at a profit of 36% = (1040 - x) *1.36

x*.85= (1040-x)*1.36

0.85x+1.36x= 1040*1.36

2.21x= 1414.4

x= 1414.4/ 2.21

x= Rs. 640

Rs. 1040 - 640 = 400

What is the distance, rounded to the nearest tenth, between the points (2,-2) and (6, 3)? Enter the answer in the box.
units?

Answers

Answer:

d = 6.4

Step-by-step explanation:

We can use the distance formula

d =sqrt( ( y2-y1)^2 + ( x2-x1) ^2)

d =sqrt( (3 - -2)^2 + (6-2) ^2)

d =sqrt( (5)^2 + (4) ^2)

d =sqrt( 25 + 16)

d = sqrt( 41)

d =6.403124237

Rounded to the nearest tenth

d = 6.4

Using the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-2)^2 + ( 3- -2)^2)

Distance = sqrt(4^2 + 5^2)

Distance = sqrt(16+ 25)

Distance = sqrt(41)

Distance = 6.4

Answer my screen shot plz

Answer my screen shot plz

Answers

short answer: 7 4/15

long answer:

add the two whole numbers

cross multiply the two fractions the add

simplify

7 4/15

hope this helps <3

if this is wrong just lmk and ill fix it

Answer:

7  4/15

Step-by-step explanation:

Which of the following number sentences are true? Select ALL that apply.
A. -15/3 = -5
B. -18/-9 = -2
C. -24/-(-4) = 6
D. 16/-4 = -4

Answers

Answer:

A and D

Step-by-step explanation:

Answer:

Step-by-step explanation:

A and B

There are 28 students in a class. Two of the students are named Emily. What is the approximate probability that either Emily is chosen at random?

Answers

Answer:

answer is 7

Step-by-step explanation:

they are saying 28 students that means we have to divide the name because their are two students name Emily

28/2= 14 then

14/2=7

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