Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 7 x squared minus 40 x + 52 Over x squared minus 6 x + 9 EndFraction?

Answer:

3x=2y
Explanation:

There is a proportional relationship between the number of apples and  teaspoons of cinnamon that is 3x = 2y.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given that Devon’s favorite apple sauce recipe calls for 2 teaspoons of cinnamon for every 3 apples.

Now, let x be the number of apple and y be the teaspoons of cinnamon

the proportion are;

x/2 = y/3

Therefore, the proportional relationship between the number of apples and  teaspoons of cinnamon is

3x=2y

More can be learned about proportions at;

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Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.

Hey there!

sum of interior angle =n-2(180)

n is the number angles

5-2(180)

3(180)

=540

x=102+116+123+88=429

540-429=111

x=111

Answer:

a. [tex]x^{2} + 3y^{3}[/tex]

b. [tex]3y^{3} -6[/tex]

c. [tex]5x -3[/tex]

d. -6t - 5

Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]

(But don't forget the [tex]3y^{3}[/tex]!)

So it is:

[tex]x^{2} + 3y^{3}[/tex]

Continue this process for the rest of them

Step-by-step explanation:

slope -4

equation of line = (y-y1)=m(x-x1)

eq. = (y-1)= -4(x-1)

y-1=-4x+4

slope of this line is -4x

Answer:

20

Step-by-step explanation:

100/5=20

Answer:

Dimensions of rectangle = 23 cm x 5 cm

Step-by-step explanation:

Equations we can form

⇒ 2L + 2W = 56

⇒ L + W = 28

⇒ L = 3W + 8

Substitute in previous equation

⇒ 3W + 8 + W = 28

⇒ 4W = 20

⇒ W = 5 cm

⇒ L = 28 - 5 = 23 cm

Answer:

Perimeter=25

Step-by-step explanation:

HOPE THIS HELPS YOU

Answer:

the first one

Step-by-step explanation:

Answer: no solution

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]

equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]

make x the subject in equation 1,

[tex]\sf x = 3+3y[/tex]

insert this in equation 2,

[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 7 = 0[/tex]

Thus no solution for x and y in this solution.

All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:

3/20

Answer:

See below.

Step-by-step explanation:

4x^2-24x

Find the GCF.

4 - 1, 2, 4

24 - 1, 2, 3, 4, 6, 8, 12, 24

The GCF of x^2 and x is x.

The complete GCF is 4x.

4x(x-6)

-hope it helps

Answer:

{x,y} = {7,-5}

Step-by-step explanation:

Solve equation [2] for the variable  y

  [2]    10y = -7x - 1

[2]    y = -7x/10 - 1/10

Plug this in for variable  y  in equation [1]

  [1]    5x + 9•(-7x/10-1/10) = -10

  [1]    -13x/10 = -91/10

  [1]    -13x = -91

Solve equation [1] for the variable  x

[1]    13x = 91

[1]    x = 7

By now we know this much :

x = 7

y = -7x/10-1/10

Use the  x  value to solve for  y

  y = -(7/10)(7)-1/10 = -5

Answer:

(x , y) = (7 , -5)

Step-by-step explanation:

{x, y} = {7, -5}

System of Linear Equations entered :  

1. 5x + 9y = -10

2. 7x + 10y = -1

(Shown on graph below)

Solve equation 3 for the variable the y    

10y = -7x - 1

y = -7x/10 - 1/10

Plug this in for variable  y  in equation 1    

5x + 9•(-7x/10-1/10) = -10

-13x/10 = -91/10

 -13x = -91

Solve equation 1 for the variable  x   
 13x = 91 

  x = 7 

By now we know this much :  

  x = 7

  y = -7x/10-1/10

Use the  x  value to solve for  y    

 y = -(7/10)(7)-1/10 = -5 

Hence, (x , y) = (7 , -5)

The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.

Area of a Rectangle = base x height

Area of a Triangle = 1/2 x base x height

Base rectangle = 24 x 12 = 288

Rectangles that come to a point = 2(12 x 13) = 2(156) = 312

---There are two rectangles, which is why I multiplied the area by 2.

Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120

Surface Area = sum of all the areas of the faces

Surface Area = 288 + 312 + 120 = 720 in^2

Answer = 720 in^2

Hope this helps!

Answer:

10x+20y= 350

Step-by-step explanation:

Add the decimal. 3.50

Let's assume that all the coins are 10-cent coins.

The total value would be 10 x 40 = 400 cents = $4

So, it would be $2.5 less than the actual total value,

We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.

Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)

-> There are 25 20-cent coins and 15 10-cent coins

Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5

Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, the base prices and the chage in price is given as:

Item                Base Price                    Change Direction

Blender            $29.73                           9% Markdown

Hat                   $14.16                             77% Markup

Ink                    $20.17                            27% Markup

Heater             $28.46                           22% Markdown

Calculating the resultant price:

Resultant price = 29.73 - 9% of 29.73

[tex]P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}[/tex]

Resultant price = 14.16 + 77% of 14.16

[tex]P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}[/tex]

Resultant price = 20.17 + 27% of 20.17

[tex]P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}[/tex]

Resultant price = 28.46 - 22% of 28.46

[tex]P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}[/tex]

Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

[tex]x = 180 - (37 + 53)[/tex]

is the answer

Answer:

40.2

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]

[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]

[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]

Answer:

The answer is no

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 9

y = 2x + 5

For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.

First, I will substitute the first equation, for y, into the second equation:

y = 4x + 9

y = 2x + 5

4x + 9 = 2x + 5

Next, subtract 2x from both sides to isolate x:

4x + 9 = 2x + 5

-2x      -2x

2x + 9 = 5

Then, subtract 9 from both sides:

2x + 9 = 5

     - 9  - 9

2x = -4

Now, divide both sides by 2:

2x = -4

/2    /2

x = -2

Now, we find the value of y, by substituting -2 for x:

y = 2x + 5

y = 2(-2) + 5

y = -4 + 5

y = 1

(x, y) ==> (-2, 1)

Check your answer using (-2, 1):

y = 2x + 5

1 = 2(-2) + 5

1 = -4 + 5

1 = 1

This statment is correct

y = 4x + 9

1 = 4(-2) + 9

1 = -8 + 9

1 = 1

This statment is also correct

Check your answer using  (-6, -7):

y = 2x + 5

-7 = 2(-6) + 5

-7 = -12 + 5

-7 = -7

This statment is correct

y = 4x + 9

-7 = 4(-6) + 9

-7 = -24 + 9

-7 = -15

This statment is NOT correct

Therefore, no (-6,-7) is NOT a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Hope it helps you

Answer:

11.) 105 degrees

12.) 50 degrees

13.) 55 degrees

Step-by-step explanation:

11.) <EFG is a straight angle (180 degrees) so 180-75=105

12.) <FGC is a right angle (90 degrees) so subtract 40 and you get 50 degrees

13.) Sum of angles in a triangle is 180 degrees. Since we already know 2 angles, just subtract from 180. 180-75-50=55 degrees

Answer:

2.4 hour is  10%

Step-by-step explanation:

Because 10% is equal to 0.1 24÷ 10% =2.4

Answer:

62.5 miles per hour

Step-by-step explanation:

Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.

Hopefully this helps- let me know if you have any questions!

Answer:

3. rolling a sum of 20 with two standard dice

Step-by-step explanation:

If something has a probability of 0 then there is no chance of it happening

A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.

Answer:

13 is 41.9 percent of 31

13/31*100=41.9

8x^5 y^8 z^9 ur welcome

Answer:

[tex]64x^6y^{12}z^{14}[/tex]

Step-by-step explanation:

[tex]\left(8x^3y^6z^7\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]

[tex]\left(8x^3y^6z^7\right)^2=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]8^2=64[/tex]

[tex]=64\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]=64x^6\left(y^6\right)^2\left(z^7\right)^2[/tex]

[tex]=64x^6y^{12}\left(z^7\right)^2[/tex]

[tex]=64x^6y^{12}z^{14}[/tex]

~lenvy~

Answer:

yes its 24/3 but reproduce is 1/8

Step-by-step explanation:

The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.

The question is incomplete, as the needed parameters to answer the question are missing.

So, I will list the normal conditions for constructing the confidence interval

The condition for constructing the confidence interval include:

Read more about confidence interval at:

https://brainly.com/question/15712887