Dr. Grumman got his first job in 1990. In that year, the government took out 7.45% of each income for Social Security and Medicare, until a person made $51,300. If Dr. Grumman earned$31,340 in 1990, how much did he pay to Social Security and Medicare?​

The solution for the equation 7x-4 = -18 is x = -2

The equation given is, 7x - 4 = -18.

We will try to solve this equation using elimination method in the following steps.

7x-4= -18

⇒ 7x-4+4 = -18+4

⇒7x = -14

⇒7x/7 = -14/7

⇒x = -2 is the solution for the given equation.

In the first step, we added 4 on both sides to eliminate -4 on the left side.

In the next step, we divided the both sides by 7 to eliminate the 7 on the left side. Finally, we got the solution as x = -2.

Learn more about solving linear equations at https://brainly.com/question/13729904

#SPJ1

Answer:

a: 8960

b: I suck at proportions even though im in hs. srry i cant answer that.

c: 177.1875, if you have to round than 177.

d: im so srry lol

Step-by-step explanation:

Yes, it is possible to use absolute value when subtracting two negatives and as such it does not only work when one number is negative.

When adding two negative numbers, add the absolute value of the numbers and keep the negative sign.

For example -1 + -2 = - (||-1| + |-2||), which is -(1 + 2) or -3

The absolute value when subtracting two negatives is -2¹/₂ - (-1²/₃) is possible because when subtracting, we will change the subtraction to addition and change the sign of the number being taken away.

Thus, we can conclude that it is possible to use absolute value when subtracting two negatives.

Read more about Absolute Values at: https://brainly.com/question/24368848

#SPJ1

Greetings from Brasil...

Angle W

Here we have Opposite Angles by Vertex, so

W = 14

According to the attached figure, the angle W is also corresponding, so in the triangle CEG one of the angles will be 14°

Angle Z

The sum of the interior angles of a triangle is 180°, so for triangle CEG:

Z + W + 78 = 180

Z + 14 + 78 = 180

Z = 88

Angle X

Z and 4X are complementary angles, then

Z + 4X = 180

88 + 4X = 180

___________________________________

see something similar in

https://brainly.com/question/28649713

Step-by-step explanation:

y is the second number. This means we can define it as the following equations where x is the second number:

y=6x-3

y+x=46

we have a system of equations, let's move all x to the right side

y=6x-3

y=46-x

this means that 6x-3=46-x

6x+x=46+3

7x=49

x=7

now that we know x we can calculate the y through one of the equations above:

y=39

Answer:

k2+5=?

3²+5=?

9+5=14......

The rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.

So, let's assume that y70m/s is the terminal velocity.

Therefore, the rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.

Know more about speed here:

https://brainly.com/question/13943409

#SPJ9

The best graphical representation used to represent the score of 25 students is option A " Histogram, because a large number of scores are reported as ranges "

Histogram is the graphical representation of distribution of numerical data. The  histogram look like a bar graph in appearance, but the frequency of numerical data using rectangles.

In histogram the range is the width of the rectangular bar along the x-axis. The range in the histogram is an approximate value.

In the given data, there are large number of scores are reported. So the given data will be represented in histogram. Therefore correct option is option A "Histogram, because a large number of scores are reported as ranges

Hence, the best graphical representation used to represent the score of 25 students is option A " Histogram, because a large number of scores are reported as ranges "

Learn more about histogram here

brainly.com/question/16819077

#SPJ1

Answer: $250.37

Step-by-step explanation: no clue teacher told me because she doesn't know

Answer:

A

Step-by-step explanation:

y=3/2x+5

2(y+3/2x)=5(2)

2y+3x=10

Answer: [tex]2a[/tex]

Step-by-step explanation:

So let's say you're adding [tex]2a+4ab[/tex] and you want to factor that...

well you can take a 2 out of that...

[tex]2(a+2ab)[/tex]

Next, you can take an "a" out of that..

[tex]2a(1+2b)[/tex]

So the greatest monomial factor is 2a... Hope this helps!! Please rate it 5 stars!

The monthly payment by ignoring intrest and rouning down the amount owed is $104

Given that "you have a $3125 student loan. suppose you pay the loan off in two and a half years(30 months)" and asked to find out the monthly payment by ignoring the intrest and round off the amount to nearest integer.

Total loan=$3125 .

Total time given= two and a half years(30 months)

The monthly payment=[tex]\frac{3125 }{30}[/tex]

The monthly payment=$104

To complete the student loan monthly payment of $104 is required.

Therefore,The monthly payment by ignoring intrest and rouning down the amount owed is $104

Learn more about intrest here:

https://brainly.com/question/28170884

#SPJ9            

Answer:

8 pools

Step-by-step explanation:

5 ÷ 3/5

5 x 5/3 = 35/3 = 8 1/3

3x² - 2x -6 is quotient in polynomial after long division .

What in mathematics is a polynomial?

[tex]\frac{3x^{4} - 2x^{3} - x - 4 }{x^{2} + 2}[/tex]  

after long division we get quotient -  3x² - 2x -6 .

Divide using long division: standard [tex]3x^{2} + \frac{3x + 8 }{x^{2} + 2} - 2x - 6[/tex]

quotient - 3x² - 2x -6

remainder - 3x + 8

Learn more about polynomial

brainly.com/question/11536910

#SPJ9

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

What is Division method?

Division method is used to distributing a group of things into equal parts.

We have to given that;

The quotient of x² − 16/ x − 4 is x + 4.

Now, We have compute each quotient as;

The quotient of x³ - 64/x - 4 is;

[tex]\frac{x^{3} - 64}{x-4} = \frac{x^{3} - 4^{3} }{x-4} = \frac{(x-4) (x^{2} +4x+16)}{(x-4)} = (x^{2} +4x+16)[/tex]

Hence, The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

And, The quotient of x⁴ − 256/x − 4 is;

[tex]\frac{x^4-4^4}{x-4} = \frac{((x^2)^2-(4^2)^2)}{(x-4)} = \frac{(x^{2} -4^4) (x^{2} + 4^2)}{(x-4)} = \frac{(x-4)(x+4)(x^{2} +4^2)}{(x-4)} = (x+4)(x^{2} + 16)[/tex]

[tex](x+4)(x^{2} + 16) = x^{3} + 4x^{2} +16x + 64[/tex]

Hence, The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is;

      _______

x - a )   x⁵ - a⁵   ( x⁴ + ax³ + a²x² + a³x + a⁴

         x⁵ - ax⁴

      -      +

    -------------------

            ax⁴ - a⁵

            ax⁴ - a²x³

         -        +

         -------------------

                 a²x³ - a⁵

                a²x³ - a³x²

              -         +

               -----------------

                        a³x² - a⁵

                        a³x² - a⁴ x

                      -        +

                   --------------------------

                           a⁴ x  - a⁵

                           a⁴ x  - a⁵

                          -        +  

                     -----------------------

                                 0

Hence, The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

Therefore, The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

Learn more about the division method visit:

https://brainly.com/question/2053526

#SPJ1

Answer:

Step-by-step explanation:

volume of small cuboid=5×2×4=40 cm³

volume of one small cube=(1/2)³=1/8

so number of cubes=40÷1/8=40×8=320

now width of bigger cuboid=9-5=4 cm

volume of bigger cuboid=4×2×12=96

number of small cubes in this cuboid=96÷1/8=96×8=768

total cubes=768+320=1088

In linear equation 109333.2 dollars is the average yearly salary of an individual with each of these final degrees .

What is a linear equation ?

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 130000:

x+(2x-40000)=130000

3x-40000=130000

3x=130000+40000

x=170000/3

x = 56,666.66

x= 56,666.6  dollars ( the average salary of bachelor degree)

the average salary of Masters degree = 2x - 40000

2(56666.6)-40000 = 109333.2 dollars

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

The value of angle 3 is 127 degrees.

Parallel lines are those lines that are equidistant from each other and never meet.

Parallel lines cut by a transversal, forms different angle relationship like alternate angles, corresponding angles, etc.

The line a and m are parallel lines.

The parallel lines are cut by a transversal y.

The angles formed are 1, 2, 3, 4, 5, 6, 7, 127 degrees etc.

This angles are related by alternate rule or corresponding rule.

Therefore,

∠3 is an alternate angle to 127 degrees.

Hence, alternate angles are congruent.

Therefore,

∠3 = 127 degrees.

learn more on parallel lines here: brainly.com/question/7849620

#SPJ1

The value of EG is 12

Given equations of line are  :

CG = 9x -4

GD = 2x+31

EF = 4x-1

GF = 7

We are asked to find the length of EG. We can start by analyzing the bisector, CD. Since the segment is the bisector, So CG = GD.

CG = GD

9x -4 = 2x+31

7x = 35

x = 5

Analyzing EF

EF = EG + GF

4x-1 = EG +7

20 - 1 -7 = EG

EG = 12

The value of EG is 12

Learn more about line segment here

https://brainly.com/question/2437195

#SPJ9

Answer:

[tex]\textsf{B)} \quad -8 \frac{4}{7} \quad -8.\.{2} \quad \dfrac{25}{3} \quad \sqrt{70}[/tex]

Step-by-step explanation:

Given:

[tex]\sqrt{70} \quad -8.\.{2} \quad \dfrac{25}{3} \quad -8 \frac{4}{7}[/tex]

Convert the given numbers into decimals:

[tex]\sqrt{70}=8.366...[/tex]

[tex]-8.\.{2} =-8.222...[/tex]

[tex]\dfrac{25}{3}=8.333...[/tex]

[tex]-8 \frac{4}{7}=-8.571...[/tex]

Order the decimals from least to greatest:

[tex]-8.571... < -8.222... < 8.333... < 8.366...[/tex]

Therefore:

[tex]-8 \frac{4}{7} < -8.\.{2} < \dfrac{25}{3} < \sqrt{70}[/tex]

Answer:

negative eight and four sevenths, negative 8.2 repeating, twenty five thirds, square root of 70

Using the uniform distribution, there is a 0.6667 = 66.67% probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

For this problem, the connection time has parameters a = 20 sec and b = 50 sec, as stated in the problem.

The probability that it takes a randomly selected customer more than 30 seconds to connect to is P(X > 30).

Hence, applying the formula, with the bounds, we have that:

P(X > 30) = (50 - 30)/(50 - 20) = 2/3 = 0.6667.

The measure above is the desired probability.

More can be learned about the uniform distribution at https://brainly.com/question/24321725

#SPJ1

Answer: 4102

Step-by-step explanation:

8^4 + 6=

4096+6=4102

The numbers having a digit in the ones place that is 1/10 the value of the digit in the tens place are  6,044.7, 8,066.51 and 9,777.1 . Option A, D , E

The place value of a number can be defined as the position of the number is a digit.

Given the digits, we have to determine the numbers of digits in the ones that is 1/10 the value of the digit in the tens place.

⇒ 6044. 7

The ones digit is 4

The tens digit is 40

Take ratio = 4/ 40 = 1/ 10

⇒ 8

The ones digit is 8

The tens digit is 80

Take ratio = 8/ 80 = 1/ 10

⇒  9,777.1

The ones digit is 7

The tens digit is 70

Take ratio = 7/ 70 = 1/ 10

Thus, the numbers having a digit in the ones place that is 1/10 the value of the digit in the tens place are  6,044.7, 8,066.51 and 9,777.1 . Option A, D , E

Learn more about place value here:

https://brainly.com/question/12386995

#SPJ1

The value of (f - g)(x) = 4x² - x - 4.

Function - A function is a relationship or expression involving one or more variables.  It has a set of input and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

We have been given that -

f(x) = 4x² - 3

g(x) = x + 1

Find out  (f - g)(x) = ?

(f - g)(x) = 4x² - 3 - (x + 1)

(f - g)(x) = 4x² - 3 - x - 1

Output of

(f - g)(x) = 4x² - x - 4

Hence , for the given function f(x) = 4x² - 3 and g(x) = x + 1 the relationship  of (f - g)(x) is 4x² - x - 4.

To learn more about Function

Visit - https://brainly.com/question/11624077

#SPJ9