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

Given data:

The length of the first commercial break is,

The length of the second commercial break is,

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

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

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

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

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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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:

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

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

y = 38x.

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:

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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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.

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) = ( )

Answer:

Step-by-step explanation:

40/30=409

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.

Answer:

On a plane

Step-by-step explanation:

Answer:

A plane

Step-by-step explanation:

Answer:

  (x, y) = (4, 0)

Step-by-step explanation:

It looks like you want to solve ...

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.

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

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

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

Set variables to represent the amounts we wish to identify.

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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.

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°

Answer:

216 inches

Step-by-step explanation:

1 yard = 36 inches

6 * 36 =

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

180 + 36 =

216 inches

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\(\sqrt{2\).

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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Answer:

3

Step-by-step explanation:

-1, 1, 2

Answer:

c

Step-by-step explanation:

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

Answer:

12 girls

Step-by-step explanation:

boys   girls

     2:3

8 ÷ 2 = 4

4 × 3 = 12

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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!! :)

Answer: Well, 10 x 3, 10 x 3

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

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!