Yolanda would like to attend a 12-month program that will certify her as a court reporter. The program costs $8,500 in tuition, fees, and books and will allow her to make
about $31,250 a year when she becomes certified. She will not have time to work during the year of training. Assuming she could make $18,000 a year without the
training, how many years will it take her to recoup her investment? years

[tex]\large\underline{\sf{Solution-}}[/tex]

We need to solve,

[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]

We can write the above mentioned expression as,

[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

Hence,

[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]

Taking common in respective terms,

[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]

On cancelling 4 with 2,

[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]

[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]

Taking (-) common,

[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]

So, (√5 - √7) gets cut,

Hence,

[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]

Answer:

A) 3x +15

B) 8x -2

C) 20x + 10

D) 4x - 8y

Step-by-step explanation:

A) 3x+3 x 5 = 3x + 15

B) 2 x 4x -2 = 8x -2

C) 5 x 4x +5 x 2 = 20x + 10

D) 4x -4 x 2y = 4x - 8y

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

b) 5x +3y ≤ 50

Step-by-step explanation:

The answer came as 2257 as listed above

Answer:

2

Step-by-step explanation:

the line is at 2 for Y

Answer:

The answer is in the photo

Step-by-step explanation:

The number that represents the shoe rental charge is 3.

The number that represents the price per game is 2.5.

The equation provided is a linear equation. A linear equation is made up of one varaible that has a power of one.

y= 2.5x + 3

In the given equation, 2.5 represent the additional fee for each game played. This number increases with each game played.

When:

3 is the flat fee to rent the shoes. It is a constant cost that does not change with the total games played.  

A similar question was answered here: https://brainly.com/question/14276466?referrer=searchResults

here!

and here’s a link if you want to understand how to do it!

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder

Answer:

[tex]-4b^3 - 4a^3 + 5a^3 b^2[/tex]

Step-by-step explanation:

Hope it helps!!

Answer:

13 and 6

Step-by-step explanation:

Answer:should be d

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

[tex]D = \dfrac{3}{2}W\\\\w = 80 \ lbs\\\\D =\dfrac{3}{2}*80\\\\=3*40\\\\D = 120 mg[/tex]

Answer: The answer is B.

Step-by-step explanation: I took the test (:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Zeke's earnings are:

This amount is less than 240.

This can be shown as:

The matching choices are B, C and D (note C and D are given same, must be a typo)

Answer:

C 12.75h – 17.90 < 240

Step-by-step explanation:

Answer:

6 smaller portions

Step-by-step explanation:

1 pound (lb) = 16 ounces (oz)

3 lbs = 48 oz

1/2lb = 8oz

48oz (total)/8oz (amount in each portion) = 6 portions

its  C the only one that makes a angle

Answer:

a)

2 sections

b)

9 sections

Step-by-step explanation:

a) there are total 8 boxes

so, for fraction 1/4

1/4 × 2/2 = 2/8

therefore shade 2 sections.

b) there are total 15 sections so to shade 3/5 of this shape

3/5×3/3 = 9/15

therefore , shade 9 sections.

hope this answer helps you dear...take care!

Answer:

A

Step-by-step explanation:

The answer is A

The roots of the given quadratic equation are -

x = 2   and   x = 1.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a quadratic function f(x) defined as -

f(x) = x³ - 3x² + 2

The given quadratic function f(x) is -

f(x) = x³ - 3x² + 2

We can write the roots of the equation as -

x = {3 ± √(9 - 8)}/2

x = {3 + √(9 - 8)}/2    and    {3 - √(9 - 8)}/2

x = (3 + 1)/2   and    x = (3 - 1)/2

x = 2   and   x = 1

Therefore, the roots of the given quadratic equation are -

x = 2   and   x = 1.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

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Answer:

d) subpolar zone

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

Answer:

B

Step-by-step explanation:

Answer:

b?

Step-by-step explanation:

i think thats it sorry if wrong!

Answer:

34 N.

Step-by-step explanation:

Net force in x direction = 65 cos 58

= 34 N.

Answer:

34N is the answer :)

Step-by-step explanation:

Answer:

You technically can't do anything with it since it the algebraic expression doesn't factor.

Step-by-step explanation:

Answer:

i have no idea

Step-by-step explanation:

Answer:

They won 10 matches

Step-by-step explanation:

Since it's 2/3 if you multiply 3 by 5 you get 15. If you multiply 2 by 5 you get 10. So wit would be 10/15 which is also 2/3.

Answer:

Step-by-step explanation:

You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.

The two points are (2,-2) and (-3,-6)

Now construct a line in point intercept form from these two points.

m = (y2 - y1)/(x2 - x1)

m = (-2 - - 6)/(2 - - 3)

m = 4/5

So far what you know is

y = 0.8 x + b

Use either one of the two points to get b (the y intercept)

x = 2

y = - 2

-2 = 0.8*2 + b

-2 = 1.6 + b             Subtract 1.6 from both sides

-3.6 = b

y = 0.8x - 3.6

3

To solve a problem, we often Translate the given information into algebraic expressions and equations.

Step-by-step explanation:

Consider the provided statement.

In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.

For example: “6 less than twice a number"

We first need to translate it.

This can be translated as: 2n-6

Where n represents the number.

Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.

Answer: 2

Step-by-step explanation:

Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2

Answer:

45

Step-by-step explanation:

The graph given is of inequality x ≤ -7.

In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.

Given is a graph of an inequality, we need to determine the inequality,

So, the graph is cutting the x-axis at -7 and all the numbers less than -7 is covered by the graph,

so the inequality will be x ≤ -7

Hence, the graph given is of inequality x ≤ -7.

Learn more about inequality, click;

https://brainly.com/question/30231190

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Answer:

1/6

Step-by-step explanation:

the form you're using is slope-intercept. That is

y=mx+b

where y= y coordinate

m=slope

x= x coordinate

and b= y intercept

so, m in that equation is 1/6, so the slope is 1/6

Hope this helps!