Explain completely why 1/3+1/4 equals 7/12 and not 2/7

Answers

Answer 1

Answer:

Step-by-step explanation:

make the denominator of each fraction same (L.C.M of denominators),here 12.

\(\frac{1}{3} \times \frac{4}{4 } =\frac{4}{12} \\ \frac{1}{4} \times \frac{3}{3} =\frac{3}{12}\\ \frac{1}{3} +\frac{1}{4} =\frac{4}{12} +\frac{3}{12} = \frac{7}{12}\)

Answer 2
1/3+1/4=7/12 and not 2/7 because, when you go to transform the fractions with the least common denominator, you will use 12. 1/3 equals 4/12 and 1/4 equals 3/13.
Therefore, you must use the least common denominator and you should NOT ADD THE DENOMINATORS if you add the denominators, you will just get a complete different answer.

Related Questions

Which one is the correct answer..pls HELP a answer accurately..

Which one is the correct answer..pls HELP a answer accurately..

Answers

Answer:

c

Step-by-step explanation:

$0.70 is the answer........

The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.

Answers

Answer:

12 girls

Step-by-step explanation:

boys   girls

     2:3

8 ÷ 2 = 4

4 × 3 = 12

If you find my answer helpful

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The arithmetic sequence a; is defined by the formula: a1=4 +3(i-1)

Answers

Answer:

the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence. 1.

what is the slope of the line that passes thru (7,-6) and (6,-6)

Answers

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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Solve for x.
x+6= √2x+29 +9

Answers

The solution to the equation is x = 10 or x = -2.

What is an equation?

An equation refers to a mathematical expression showing that two expressions are equal.

It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).

To solve for x, we shall start with the given equation:

x + 6 = √(2x + 29) + 9

Subtract 9 from both sides:

x - 3 = √(2x + 29)

Square both sides:

\((x - 3)^2\) = 2x + 29

Expand the left side:

\(x^2\) - 6x + 9 = 2x + 29

We then subtract 2x and 9 from both sides:

\(x^2\) - 8x - 20 = 0

Next, actor the quadratic equation:

(x - 10)(x + 2) = 0

Therefore, the equation x = 10 or x = -2

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How do the values compare? Order the values from least to greatest. 1/2 , 2 , 2 1/2 , -1/2 , 1 1/2 , 2 1/2​

Answers

Answer:

First always the positive is greater than the negative

Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2

1/2=0.5

21/2=10.5

11/2=5.5

Then from lowest to greatest

-1/2,1/2,2,11/2,21/2

I hope you understand

Find the value of each variable. (x and y)

Find the value of each variable. (x and y)

Answers

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

Chairs are being arranged in rows for an assembly in the school cafeteria. The same number of chairs is in each row. If there are 304 chairs in 8 rows, write an equation that could be used to determine y, the total number of chairs in x rows.
y = 304x
y = 8x
x = 38y
y = 38x

Answers

The proportional relationship used to determine the total number of chairs in x rows is given as follows:

y = 38x.

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

Variable x: number of rows.Variable y: total number of chairs.

There are 304 chairs in 8 rows, hence the constant is given as follows:

k = 304/8

k = 38.

Meaning that the equation is given as follows:

y = 38x.

And that the fourth option is correct.

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the x y coordinate plane is given. the curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).

Answers

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

Now, According to the question:

Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.

What is the point of inflection?

The point of inflection or inflection point is a point in which the concavity of the function changes.

Therefore, From the attached graph, we can see that:

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

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The complete question is this:

The x y coordinate plane is given. The curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).

(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)

(b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)

(c) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.)

(d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.)

(e) Find the coordinates of the point(s) of inflection.

(x, y) = ( )

the x y coordinate plane is given. the curve begins at (0, 5) goes down and right becoming less steep,

Any set of points in space or on a plane

Answers

Answer:

On a plane

Step-by-step explanation:

Answer:

A plane

Step-by-step explanation:

Morgan's mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?

Answers

Answer:

$777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

Answer:

Step-by-step explanation:

8/100*720=5760/100

=$57.6

$720-$57.6=$662.4

she will pay back $662.4.

Which pairs of rectangles are similar polygons?

Select each correct answer.

Which pairs of rectangles are similar polygons?Select each correct answer.

Answers

Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.

Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width

Top Left Rectangles: Proportional

6.4 / 5.6 = 1.6 / 1.4

8.96 = 8.96

Top Right Rectangles: Not Proportional

10.2 / 6.2 = 5.2 / 1.2

32.24 does not equal 12.24

Bottom Left Rectangles: Proportional

39 / 27 = 13 / 9

351 = 351

Bottom Right Rectangles: Not Proportional

64 / 36 = 8 / 6

288 does not equal 384

Hope this helps!! :)

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.

Answers

Where the diagram at shorty ?

Use basic facts and patterns to find 30x30

Answers

Answer: Well, 10 x 3, 10 x 3

Step-by-step explanation: I think thats what you are asking?

System of Equations: Solve for (x,y) given the system of linear equations "X 1 point
- y = 4" and "x + y = 4".

Answers

Answer:

  (x, y) = (4, 0)

Step-by-step explanation:

It looks like you want to solve ...

x - y = 4x + y = 4

Adding the two equations gives ...

  2x = 8

  x = 4 . . . . divide by 2

Then ...

  y = 4 - x = 0

The solution is (x, y) = (4, 0).

_____

If you think about what you're seeing when you read the equations, you realize that adding or subtracting y gives the same result. Hence y=0 and x=4.

The radius of a circle is 6 in. Find the circumference to the nearest tenth.

The radius of a circle is 6 in. Find the circumference to the nearest tenth.

Answers

Answer:

37.7

Step-by-step explanation:

The orginal answer is 37.699

But you want to round the tenth

So 9 to the 6 you want to rasie the score

6 turns into a 7 and the numbers behind it (9 and the other 9) turn into a zero

37.7 or 37.700

Find the value of x in each case:

Find the value of x in each case:

Answers

9514 1404 393

Answer:

  x = 36

Step-by-step explanation:

The interior angle at E is (180-2x). The interior angle at F is (180-4x). The sum of the interior angles of the triangle is 180, so we have ...

  (180 -2x) +x +(180 -4x) = 180

  180 = 5x . . . . . . add 5x-180 to both sides

  36 = x . . . . . . . divide by 5

__

Additional comment

This value of x makes the exterior angles at E and F be 72° and 144°, respectively. The internal angles at E, F, G are then 108°, 36°, 36°, making the triangle isosceles with EF = EG.

WHAT IS THE ACTUAL SALES

WHAT IS THE ACTUAL SALES

Answers

If the sales tax is 6% with the total sales as $88,000, the actual sales will be  $83,019.

How are the actual sales determined?

The actual sales can be determined by dividing the total sales, including the sales tax by the sales tax factor.

The sales tax factor increases the actual sales by the sales tax rate.

Total sales including sales tax = $88,000

Sales tax rate = 6%

Sales tax factor = 1.06 (1 + 0.06)

Actual sales = Total sales ÷ Sales tax factor

= $83,019 ($88,000 ÷ 1.06)

Thus, the actual sales for a total sales of $88,000, which includes the sales tax of 6%, is $83.019.

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An integer A written in an n-based number system is 647, while written in an (n+2)-based number system is 513. Write the number A in the 10 number system! (n is of course a positive integer)​

Answers

Answer:

79

Step-by-step explanation:

Let's start by writing out what we know:

A = 647 in base-n

A = 513 in base-(n+2)

To find A in base-10, we need to use the place value system and the definition of each base. Let's first convert A to base-10 using the given information.

In base-n, A is equal to:

A = 6n^2 + 4n + 7

In base-(n+2), A is equal to:

A = 5(n+2)^2 + 1(n+2) + 3

A = 5(n^2 + 4n + 4) + (n + 2) + 3

A = 5n^2 + 21n + 20

Now we have two expressions for A, so we can set them equal to each other and solve for n:

6n^2 + 4n + 7 = 5n^2 + 21n + 20

Simplifying and rearranging, we get:

n^2 + 8n + 13 = 0

Using the quadratic formula, we can solve for n:

n = (-8 ± sqrt(8^2 - 4(1)(13))) / (2(1))

n = (-8 ± 2) / 2

n = -3 or n = -5

Since n is a positive integer, we can disregard the negative solution and conclude that n = 3.

Now that we know n, we can substitute it back into the expression for A in base-n and solve for A in base-10:

A = 6n^2 + 4n + 7

A = 6(3^2) + 4(3) + 7

A = 79

Therefore, the number A written in base-10 is 79.

Hope this helps!

The circumference of a circle is 15pi centimeters what is the area of the circle in terms of pi?

Answers

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Claire has sold 8 candy bars and sells 5 more each day. Ayden has sold 20 candy bars and sells 3 more each day. How many days (d) will it be before Claire sells as many candy bars (c) as Ayden.

Answers

It will take 7 days for Claire to sell as many candy bars as Ayden

Claire has sold 8 candy bars and sells 5 more each day

The first term = 8

Common difference = 5

nth term is = a+(n-1)d

= 8 +(n-1)5

= 8 + 5n - 5

= 3 +5n

Ayden has sold 20 candy bars and sells 3 more each day

The first term = 20

Common difference = 3

nth term = a+(n-1) d

= 20 +(n-1)3

= 20 + 3n -3

= 17 + 3n

Then,

3 + 5n = 17 + 3n

5n - 3n = 17 - 3

2n = 14

n = 14/2

n = 7

Hence, it will take 7 days for Claire to sell as many candy bars as Ayden

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Help please. Anyone good at math?

Help please. Anyone good at math?

Answers

Answer:

m∠x = 47°

Step-by-step explanation:

The given shape is a triangle.

Sum of interior angles of the triangle is 180,

x + 102 + 31 = 180

x + 133 = 180

x = 180 - 133

m∠x = 47°

Line segment AB is equal to 40cm. What is the length of the middle part in terms of x?

Answers

Answer:

Step-by-step explanation:

40/30=409

Brian had 6 yards of steel pipe. What is the length of the steel pipe in inches?

Answers

Answer:

216 inches

Step-by-step explanation:

1 yard = 36 inches

6 * 36 =

(6 * 30) + (6 * 6) =

180 + 36 =

216 inches

The answer would be 216.
There are three feet in a yard and 12 inches in a foot.
6x3=18
18x12=216

The box plots represent the length of 100 randomly sampled commercial breaks for two different television stations Length of Commercial Breaks Channel 1 Channel 2 20 40 60 140 160 80 100 120 Time (seconds) Which statement about the difference in the medians of the two data sets is true?

The box plots represent the length of 100 randomly sampled commercial breaks for two different television

Answers

Given data:

The length of the first commercial break is,

\(\begin{gathered} C_1=(120-90) \\ =30 \end{gathered}\)

The length of the second commercial break is,

\(\begin{gathered} C_2=(90-50) \\ =40 \end{gathered}\)

The expression for the diffrence compared to the first channel is,

Jeff hikes 1/2 mile every 1/4 hour. Lisa hikes 1/3 miles every 1/6 of an hour. How far does each hike in 1 hour?

Answers

Answer:

They both hike 2 miles in 1 hour

Step-by-step explanation:

Jeff hikes 4 miles in 2 hours. so that means in 1 hour he hikes 2 miles. Lisa hikes the same amount of miles in an hour as Jeff

Directions: Simplify the following by subtracting the exponents.

1.

8r6

__

8r

2.

s5t4

____

s2t3


3.

3q2r2s

____

3qrs

4.


x3y6z

_____

x2y2z


5.

m7n3o

_____

m2n2o

6.

x4

___

x


7.

z3

___

z5


8.

a3b2

_____

ab2


9.

d4f3

_____

df


10.

mn2

_____

mn2


11.

10c5d6

______

10c4d3


12.

b8c4d2

________

b5c4d2


13.

xy

___

xy


14.

s2t4

_____

st


15.


m2n2

______

m4n4

Answers

The value of expression using Exponents and power is shown below.

We have to find the value of expression using Exponents and power.

Using the Exponents and power

\(a^m / a^n = a^{m-n\)

1. 8\(r^6\) / 8r

= 8\(r^{6-1\)

= 8\(r^5\)

2. \(s^5t^4\) / s²t³

= \(s^{5-2}t^{4-3\)

=s²t

3. 3q²r²s / 3qrs

= qr

4. x³\(y^6\)z / x²y²z

= x \(y^{6-2\)

=x\(y^4\)

5. \(m^7\)n²o / m²n²o

= \(m^{7-2\)

= \(m^5\\\\\)

6. \(x^4\) /x

= x³

7. z³ / \(z^5\)

= \(z^{3-5\)

= \(z^{-2\)

8. a³b² / ab²

= a²

9. \(d^4\)f³ / df

= d³f²

10. mn² / mn²

= 1

11. 10 \(c^5d^6 / 10c^4d^3\)

= cd³

12. \(b^8c^4d^2 / b^5c^4d^2\)

= b³

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Jamie buys p bags of pears for $8 each and m melons for $6 each.
Write an expression to represent how much Jamie spends in all.

Answers

The expression to represent how much Jamie spends in all. we may state,0.40x + 0.40y is 8, 0.30x + 0.30y is 6

What is an expression to represent?

Set variables to represent the amounts we wish to identify.

Let x = the quantity of  p bagsLet y=the quantity of m melonsThen, using these variables, we create equations that fully capture the narrative.Since the overall cost is $8 and $6 the cost of each bags variety varies, we may state0.40x + 0.40y = 8.0.30x + 0.30y =6The total amount of bags purchased together will be represented by the other equation, as Mark said. Once you have those equations, you may solve the problem for the variables x and y by utilising substitution and elimination techniques.The expression to represent how much Jamie spends in all. we may state,0.40x + 0.40y = 8, 0.30x + 0.30y

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NEED HELP WITH MATH! Will Give brainliest!

NEED HELP WITH MATH! Will Give brainliest!

Answers

Answer:

3

Step-by-step explanation:

-1, 1, 2

Select The correct Description giving brainliest:)

Select The correct Description giving brainliest:)

Answers

Answer:

D. The quotient of a difference and a number

Step-by-step explanation:

its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)

Answer:

C!!!!

Step-by-step explanation:

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