Simplify


(3x + 14) + (19x - 35)

Answers

Answer 1

Answer:

22x -21

Step-by-step explanation:

(3x + 14) + (19x - 35)

Combine like terms

3x+19x   + 14-35

22x   -21


Related Questions

Combine the radicals. 3√5-8√5+2√5

Answers

Answer:  [tex]-3\sqrt{5}[/tex]

-3 times the square root of 5

=============================================

Explanation:

Let [tex]x = \sqrt{5}[/tex]

Replace all the root 5 terms with x and we go from

[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5}[/tex]

to

[tex]3x-8x+2x[/tex]

From here, combine like terms to get

[tex]3x-8x+2x = -5x+2x = -3x[/tex]

and the last thing to do is replace the x with sqrt(5)

[tex]-3x = -3\sqrt{5}[/tex]

Meaning that,

[tex]3x-8x+2x = -3x[/tex]

[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}[/tex]

I NEED IN THE NEXT 10 MIN PLS. GRAPH ATTACHED WILL GIVE BRAINLIEST Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at five that ends at the open point 2, 5, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3 and continues to the right. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..

Answers

Answer:

Step-by-step explanation:

You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,

[tex]\lim_{x \to 2^-} f(x)=5[/tex]

Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,

[tex]\lim_{x \to 2^+} f(x)= -3[/tex]

The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.

please answer the question in the photo​

Answers

Answer:

b

Step-by-step explanation:

i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it

Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be _____.

Answers

Answer:

100%

Step-by-step explanation:

The formula to calculate the return on investment is:

ROI=(Net Profit/Total Investment)*100

Net profit=Revenues-expenses=500-(500*0.6)=500-300=200

Total investment=250-(250*0.2)=250-50=200

Now, you can replace the values:

ROI= (200/200)*100

ROI= 100%

According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.

PLEASE HELP!!!!


The degree of x y 3 + 5 x 2 y − 3 x xy 3 +5x 2 y−3xis 8. True False

Answers

Answer:

it's true

Step-by-step explanation:

Please help me with this problem. I will give brainliest!

Answers

Answer:

centre = (11, 0 ), radius = 3

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - h)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

(x - 11)² + y² = 9 ← in standard form

with (h, k ) = (11, 0 ) and r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3

centre = (11, 0 ) and r = 3

Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.

Answers

Answer:

The graph is not a function of x because the line x = 0 intersects the graph at two points.

Step-by-step explanation:

This graph is not a function because it fails the vertical line test, since several vertical lines would intersect the graph at 2 points.

This answer choice is correct, as the line x = 0 intersects the graph at 2 points, (0, 2) and (0, -2).

Answer:

A

Step-by-step explanation:

what are the squares from 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 answer when multiplied by itself​

Answers

Answer:

I hope it helps :)

Step-by-step explanation:

[tex] {1}^{2} = 1 \times 1 = 1\\ {2}^{2} = 2 \times 2 = 4\\ {3}^{2} =3 \times 3 = 9\\ {4}^{2} = 4 \times 4 = 16 \\ [/tex]

[tex]{5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49\\ {8}^{2} = 8 \times 8 = 64[/tex]

[tex] {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ { {12}^{2} } = 12 \times 12 = 144[/tex]

[tex] {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225 \\ {16}^{2} = 16 \times 16 = 256[/tex]

[tex] {17}^{2} = 17 \times 17 = 289 \\ {18}^{2} = 18 \times 18 = 324 \\ {19}^{2} = 19 \times 19 = 361 \\ {20}^{2} = 20 \times 20 = 400[/tex]

Step-by-step explanation:

Is this the answer you want? If nope inform me.i hope you just ignore my handwriting ☺️

To celebrate the first day of a leap year, I taught my dog to jump through a hoop. It was a Sunday. When he taught me the same trick the first day of the next year, it was a ?

Answers

Answer:

Tuesday

Step-by-step explanation:

364/7 = 52, meaning that 364 days later will also be a Sunday. 2 days after that (366 as it is a leap year) would be a Tuesday.

There will be Tuesday when the dog jumps the next year.

What is the reasoning?

the process of applying logical reasoning to examine a situation in order to identify the optimal strategy for solving a specific problem, then using this approach to develop and justify a solution.

Reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Since when the dog jumped it was Sunday

Next Sunday will be at

364/7 = 52

So, after 52 weeks or 364 days, there will be next Sunday.

Since leap year is 366 days years

366 - 364 = 2

So, two days after Sunday is Tuesday.

Hence the day after next year when the dog jump will be Tuesday.

For more about reasoning,

https://brainly.com/question/2923977

#SPJ2

a bottle is completely filled with olive oil the mass of the bottle is 500 grams if the density of the oil os 0.92 grams per milliliter what is the volume of the bottle to the nearest milliliter?

Answers

Answer:

543.48 millimetre

Step-by-step explanation:

mass/density = volume

500 grams / 0.92 grams per millimetre = 543.48

Answer:

volume = 543.478 cm³

Step-by-step explanation:

Density = mass / volume

0.92g/ml = 500g / volume

volume (0.92g/ml) = 500g

volume = 500g / (0.92g/ml)

volume = 543.478 ml    (aprox. to the nearest mililiter)

1 ml = 1cm³

543.478ml = 543.478 cm³

Use the measure of the sides of triangle ABC to classify the triangle by its sides A(-1,3) B(-3,5) C(3,2)

Answers

Answer:

The triangle is a scalene triangle that has all three sides having different lengths

Step-by-step explanation:

The given vertices (and their coordinates) of the triangle are;

A(-1, 3)

B(-3, 5)

C(3, 2)

The equation for finding the lengths of a segment, l, given the coordinates, x, y is presented as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For segment AB, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = B(-3, 5),  we have;

[tex]l = \sqrt{\left (5-3 \right )^{2}+\left (-3-(-1) \right )^{2}} = 2\cdot\sqrt{2}[/tex]

Length of segment AB = 2·√2

For segment AC, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = C(3, 2),  we have;

[tex]l = \sqrt{\left (2-3 \right )^{2}+\left (3-(-1) \right )^{2}} = \sqrt{17}[/tex]

Length of segment AC = √17

For segment BC, when, (x₁, y₁) = B(-3, 5) and (x₂, y₂) = C(3, 2),  we have;

[tex]l = \sqrt{\left (2-5 \right )^{2}+\left (3-(-3) \right )^{2}} = 3 \cdot \sqrt{5}[/tex]

Length of segment AC = 3·√5

The triangle is a scalene triangle that has all three sides having different lengths.

In a given set of data, if the variance is 25, what is the standard deviation? *

Answers

Answer:  5

Explanation: apply the square root to the variance to get the standard deviation

standard deviation = sqrt(variance)

variance = (standard deviation)^2

Based on the variance of the set of data and the definition of standard deviation, the standard deviation here must be 5.

Standard deviation allows us to measure how far apart variables are in a data set.

It is calculated as:

= √Variance

= √25

= 5

In conclusion, the standard deviation is 5 .

Find out more at https://brainly.com/question/14283696.

If Ab = 54, find MC.

Answers

Answer:

MC = 45

Step-by-step explanation:

Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{MC}[/tex] = [tex]\frac{AH}{MH}[/tex] , substitute values

[tex]\frac{54}{MC}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )

6MC = 270 ( divide both sides by 6 )

MC = 45

2. Which of the following number is divisible by 6?
O. A. 672
O B. 813
O C. 7312
O D. 1234​

Answers

Answer:

A - 672

Step-by-step explanation:

Any number divisible by both 3 and 2 is divisible by 6.

Use the drawing tool(s) to form the correct answer on the provided graph. The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) + 6

Answers

Answer:

[tex]f(x)=x+6 \\[/tex]

Step-by-step explanation:

The transformation is a translation 6 units up.

[tex]f(x)=x+6 \\[/tex]

We can use the parent function f(x)=x, which is a linear function to graph this function.

Then just translate the function 6 units up.

Answer:

on the x-axis to the left -1 and on the y-axis up 4

Step-by-step explanation:

Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.

To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1

so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1

step 1 go up 6 times y-axis

step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right

It was 100% when I did it

s
If point C is between points A and B and AB = 41, AC = 5x, BC = 3x – 7,
what is the value of x?
I NEED HELP ASAP

Answers

Answer:

x=6

Step-by-step explanation:

We know that point C is in the middle of point A and point B.

That means that when these two equations are added they should be equal to the length of AB which is 41.

5x+3x-7=41

add 7 to both sides

8x=48

divide both sides by 8.

x=6

PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!The technology stock has risen to $9.80 today. Yesterday's price was $9.67. Find the percentage increase

Answers

Answer:

1.34%

Step-by-step explanation:

First of all subtract the 2 values

9.84−9.71=0.13

use this value and find the percentage from the original price which was 9.71

0.13

-------  ⋅100

9.71

percentage increase is

1.34%

mila has 9 buttons mia has 225 mia has how many times as many buttons as mila?

Answers

Answer:

25

Step-by-step explanation:

divide mia's buttons by mila's

225 / 9

=25

Answer:

Step-by-step explanation:

225 ÷ 9 = 25

Mia has 25 times as many buttons as Mila

10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?

Answers

Answer:

The probability of eating pizza given that a new car is bought is 0.952

Step-by-step explanation:

This kind of problem can be solved using Baye’s theorem of conditional probability.

Let A be the event of eating pizza( same as buying pizza)

while B is the event of buying a new car

P(A) = 34% = 0.34

P(B) = 15% = 15/100 = 0.15

P(B|A) = 42% = 0.42

P(B|A) = P(BnA)/P(A)

0.42 = P(BnA)/0.34

P(B n A) = 0.34 * 0.42 = 0.1428

Now, we want to calculate P(A|B)

Mathematically;

P(A|B = P(A n B)/P(B)

Kindly know that P(A n B) = P(B n A) = 0.1428

So P(A|B) = 0.1428/0.15

P(A|B) = 0.952

42. How many solutions does this system of
equations have?
3x + 4y= 7
-3x – 4y = 7
A) 0
B) 1
C) 2
D) Infinite

Answers

Answer:

[tex]\Large \boxed{\mathrm{A) \ 0 }}[/tex]

Step-by-step explanation:

3x + 4y = 7

-3x - 4y = 7

Add both equations.

0x + 0y = 14

0 = 14

There are no solutions.

Answer:

A) 0

Step-by-step explanation:

Adding both equations.

0 + 0 = 14

0 = 14 (no solutions)

5 of 17Questions Question 5 Safiya needs to find a number that can be multiplied by 18−−√3 to result in a rational product. Which values could she use? Select all that apply.

Answers

Answer:

18 + √3

Step-by-step explanation:

The product of a surd and its conjugate gives a rational number. Hence;

(18 - √3) (18 + √3)

=324 + 18√3 - 18√3 - 3

=321

A rational number does not contain any surd, hence the answer.

Answer: cube root 1/18 & cube root 12

HELLLOPPPPPPP HELPPP ASAPPP PLEASE !!

Answers

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

BRAINLIEST!!

Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5) And this one please!
Select the polynomial that is a perfect square trinomial. 36x2 − 4x + 16 16x2 − 8x + 36 25x2 + 9x + 4 4x2 + 20x + 25

Answers

Answer:

(4x + 5)²

4x² + 20x + 25

Step-by-step explanation:

Step 1: Factor 16x² + 40x + 25

(4x + __)(4x + __)

What multiplies to 25 and adds up to 40 with 4 multiplied as coefficient?

(4x + 5)(4x + 5) or (4x + 5)²

Step 2: Factor perfect square trinomial

36x² - 4x + 16 --> 4(9x² - x + 4) No

16x² - 8x + 36 --> 4(4x² - 2x + 9) No

25x² +9x + 4 --> 25x² + 9x + 4 No

4x² + 20x + 25 --> (2x + 5)(2x + 5) or (2x + 5)² Yes

Answer:

(4x + 5)(4x + 5).

4x^2 + 20x + 25.

Step-by-step explanation:

16x^2 + 40x + 25

= (4x + 5)(4x + 5)

= (4x + 5)^2.

36x^2 − 4x + 16: To be a perfect square trinomial, the factors would have to be (6x + 4) or (6x - 4). Since the value of b is only -4, this is NOT a perfect square trinomial.

16x^2 − 8x + 36: To be a perfect square, factors would have to be (4x + 6) or (4x - 6). Since the value of b is only -4, this is NOT a perfect square.

25x^2 + 9x + 4: To be a perfect square, factors have to be (5x + 2) or (5x - 2). Since b is positive, factors would be (5x + 2)(5x + 2) = 25x^2 + 20x + 4. 20x is not equal to 9x, so this is NOT a perfect square.

4x^2 + 20x + 25: Perfect square would have to have factors (2x + 5) or (2x - 5). b is positive, so factors are (2x + 5)(2x + 5) = 4x^2 + 10x + 10x + 25 = 4x^2 + 20x + 25. This IS a perfect square!

Hope this helps!

Shireen starts from 100 and writes a series of numbers in which EACH NUMBER IS 4 MORE THAN THE NUMBER AFTER IT. Shireen's series will be A.100, 104, 108, 112, B.100, 104, 100, 104, C.100, 96, 92, 88, D.100, 400, 800, 1200,

Answers

Answer:C. 100, 96, 94, 90.

Step-by-step explanation:

If shireen starts at 100, and if the number is 4 more than the number after it. You must subtract 4 to the previous number to get the next number.

So= 100-4= 96

= 96-4= 94

=94-4 = 90

ANSWER IS= 100, 96, 94, 90, etc....

I hope this helps!

waht is the gcf of 4x^5 + 7x^3

Answers

Answer:

Step-by-step explanation:

4x^5 + 7x^3

x^3(4x^2 + 7)

The GCF is x^3

Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy

Answers

Answer:

Madison is gonna need to buy 250 pounds of meat.

Feel free to Brainliest :)

please help me you will recieve 5 stars IF RIGHT ANSWER !

Answers

Answer:

[tex]\huge\boxed{\frac{7}{8}}[/tex]

Step-by-step explanation:

[tex](\frac{49 }{64})^{1/2}[/tex]

=> [tex](\frac{7^2}{8^2} )^{1/2}[/tex]

=> [tex]\frac{7^{2*1/2}}{8^{2*1/2}}[/tex]

=> [tex]\frac{7}{8}[/tex]

Answer:

Below

Step-by-step explanation:

You should now that:

● (m/n)^(1/2) = √(m/n)

So:

● (49/64)^(1/2) = √(m/n)

You shoukd now also that:

● √(m/n) = √m / √n

So:

● √(49/64) = √49/√64

Notice that 64 = 8^2 and 49 = 7^2

● √49 / √64 = √(7^2)/√(8^2) = 7/8

So the answer is 7/8

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each angle measure in degrees with its equivalent measure in radians.

Answers

Answer:

315° = 7π/4 rad80° = 4π/9 rad225° = 5π/4 rad324° = 9π/5 rad

Step-by-step explanation:

Find the attachment in the diagram below,

In order to get the right match, we will use the conversion

180° = πrad

- For angle 315°;

If 180° = πrad

315° = a

Cross multiplying

180a = 315π rad

a = 315π rad/180

a = 63π/36 rad

a = 7π/4 rad

Hence 315° = 7π/4 rad

- For angle 80°;

If 180° = πrad

80° = b

Cross multiplying

180b = 80π rad

b = 80π rad/180

b = 8π/18 rad

b = 4π/9 rad

Hence, 80° = 4π/9 rad

- For angle 225°;

If 180° = πrad

225° = c  

Cross multiplying

180c = 225π rad

c = 225π rad/180

c = 15π/12 rad

c = 5π/4 rad

Hence, 225° = 5π/4 rad

- For angle 324°;

If 180° = πrad

324° = d

Cross multiplying

180d = 8324π rad

d = 324π rad/180

d = 27π/15 rad

d = 9π/5 rad

Hence, 324° = 9π/5 rad

A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (4, –2), (9, –8)

Answers

Answer:

Step-by-step explanation:

(-8+2)/(9-4)= -6/5

y + 2 = -6/5(x - 4)

y + 10/5 = -6/5x + 24/5

y = -6/5x + 14/5

PLEASE help me solve this question! No nonsense answers please!

Answers

Answer:

$6,291.70

Step-by-step explanation:

You're given the equation and you're given an x-value; 75,834. Just plug it in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = 6,291.70.

Answer:

$6,291.70

Step 1:

To find the monthly salary for somebody who sells $75,834 in cars, we need to first multiply that by 0.05, or 5%, since 0.05 has to get multiplied by s (sales) in the equation they provide us. We don't do anything with $2,500 (yet).

[tex]75,834*0.05=3791.70[/tex]

One of the options for our answer shows 3,791.7, but we are not finished with solving this problem, so 3,791.7 is not our answer.

Step 2:

After completing step 1, Superb Auto already provides new salespeople with $2,500. This means that whatever they sell (or don't sell), they would still get that $2,500. In step 1, we found out that our first number that replaces 0.05s is 3791.7, so we just have to add that to 2,500 to get our final answer.

[tex]3791.7+2500=6291.7[/tex]

Our final answer is $6,291.70, and that is the third option on our list of choices.

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As part of the fastest growing type of tourism activity, more and more tourists attend the opera or ballet performances at their vacation destinations; visit museums, art galleries, folklore music performances; and go to Native American reservations, Hawaiian Luaus, or African native dance ceremonies. What type of tourism do these examples describe In the wife of baths tale What lesson did the Knight learn? Marsha wants to buy carpet to cover her whole living room, except for the tiled floor. The tiledfloor is 4 ft by 2 ft. Find the area the carpet needs to cover. 1)Solve on paper. Then check your work on Zearn. 1)11137tiled floor At what coordinates is approximately california In the text you read this about the aftermath of the Boston Massacre: The soldiers were arrested and tried in court. John Adams agreed to defend them, saying that they deserved a fair trial. He wanted to show the world that the colonists believed in justice, even if the British government did not. At the trial, Adams argued that the crowd had provoked the soldiers. His arguments convinced the jury. In the end, the heaviest punishment any soldier received was a branding on the hand. Use the excerpt to answer the question. How could John Adams defend the British soldiers but still be seen as a Patriot? A. Adams knew that many Patriots wanted the British soldiers to be set free. B. Adams defended the soldiers because many Patriots asked him to. C. Adams defended the soldiers while defending the Patriots' belief in justice. D. Adams defended the soldiers because he thought it would make the British pity the Patriot cause. Find the particular solution of the differential equation that satisfies the initial condition. f '(x) = 8x, f(1) = 3 PLZZ HELPP!! Water is poured from a 1.5 L water bottle into an empty glass until both the glass and the bottle are 3/4 full. What is the volume of the glass? Which of the following is an example of a criminal offense?A. Evicting a tenant without due processB. Check forgingC. Being late on credit paymentD. Hitting a parked car The Tama, Japan, monorail carries 92,700 riderseach day. If the monorail usually carries5,150 riders per hour, how many hours doesthe monorail run each day? The government established for Rome by Augustus is best described as aA . Constitution monarchy B . Dictatorship C. Republic D . Democracy Read the excerpt from The Code Book. Other attacks include the use of viruses and Trojan horses. Eve might design a virus that infects PGP software and sits quietly inside Alice's computer. When Alice uses her private key to decrypt a message, the virus would wake up and make a note of it. The next time that Alice connects to the Internet, the virus would surreptitiously send the private key to Eve, thereby allowing her to decipher all subsequent messages sent to Alice. One way to better connect with this excerpt is to Read the excerpt from a students rhetorical analysis essay. Barone and Ware provide a variety of quantitative evidence that suggests that a career ladder for teachers improves teacher retention. For example, they cite exit interviews with teachers leaving the profession. Over 80% of respondents cite that having few opportunities for advancement was a reason to leave the profession. Which sentence is an example of effective commentary on the evidence used in this paragraph? A career ladder is a system where people can advance to higher levels of responsibility and compensation. Data collected from exiting teachers provide support for the implementation of new pathways in teaching careers, like a career ladder, to retain teachers. The authors studied several reasons that people left the teaching profession, including the lack of opportunities for advancement. The author makes a connection to the audience by writing about the importance of retaining talented teachers through implementing career ladders. Which expression is equal to 7 times the sum of a number and 4