A man earned wages of $30,600 , received $2900 in interest from a savings account, and contributed $2600 to a tax-deferred retirement plan.He was entitled to a personal exemption of $2500 and had deductions totaling $5020. Find his gross income, adjusted gross income, and taxable income

Answer:

x=92 degrees

Step-by-step explanation:

53+45=98

180-98=92

92 is answer

Answer:

-25/42

Step-by-step explanation:

you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.

so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.

then you add them together and you get -25/42

if possible you would simplify but for this one it’s not :)

Answer:

Negative Twenty Five over Forty Two.

Step-by-step explanation:

Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).

First Step: Make the denomimators the same.

-1/6 will become -7/42

-3/7 will become -18/42

Second step: Add the two fractions.

-7/42 + -18/42 = -25/42

So there is your answer: -25/42

Answer:

The slope of the line is 3.

Step-by-step explanation:

The slope of the line between the volume of a rectangular prism and the volume of a square pyramid is given by m = 3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 2 , 6 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 6 - 3 ) / ( 2 - 1 )

Slope m = 3 / 1

m = 3

Therefore , the value of m = 3

Hence , the slope of the line is m = 3

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Answer:

parallel: m= -1/5

parpendicular: m= 5

Step-by-step explanation:

parallel lines have the same slope

- 1      stays the same so      - 1  

 5                                            5

parpendicular lines have the opposite reciprocal slope

- 1      flipped is     - 5      turn the negative into a positive   5      or    5

 5                             1                                                                  1

Answer:

[tex] \frac{a}{b} = 1.5 [/tex]

Step-by-step explanation:

Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.

This means: [tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex].

Since this equation is true, rewrite so that you have [tex] \frac{a}{b} [/tex]

[tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex]

Cross multiply

[tex] a*1.4 = b*2.1 [/tex]

Divide both sides by 1.4

[tex] a = \frac{b*2.1}{1.4} [/tex]

Divide both sides by b

[tex] \frac{a}{b} = \frac{2.1}{1.4} [/tex]

[tex] \frac{a}{b} = 1.5 [/tex]

The value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].

Given:

Two triangles in the given figure are similar.

To find:

The value of [tex]\dfrac{a}{b}[/tex].

Explanation:

The corresponding sides of two similar triangles are proportional.

[tex]\dfrac{a}{2.1}=\dfrac{b}{1.4}[/tex]

It can be rewritten as:

[tex]\dfrac{a}{b}=\dfrac{2.1}{1.4}[/tex]

[tex]\dfrac{a}{b}=1.5[/tex]

Therefore, the value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].

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Answer:

C. 4/5

Step-by-step explanation: If you have a fraction with the numerator being less than the denominator then multiplying by 7 you will get a number that is less than 7

Answer:

neither

Step-by-step explanation:

the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]

the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither

Hope this helps

Answer:

  y = -1/3x + 13/3

Step-by-step explanation:

-3x + y=-5

y = 3x -5

Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.

y-intercept going through point (1, 4):

y = mx + b

4 = -1/3(1) + b

4 = -1/3 + b

b = 13/3

Perpendicular equation of a line:

y = mx + b

y = -1/3x + 13/3

Answer:

the answer is G I believe

We want to see how long it will take for Lin and Noah to run 1 mile. We will see that:

So we know that:

The time in which they run a single mile is given by the quotient between the time and the distance.

For Lin we have:

[tex]T = \frac{2/5 }{2 + 3/4} h/mi = \frac{2/5}{11/4} h/mi = \frac{2*4}{5*11} h/mi = \frac{8}{55} h/mi[/tex]

So Lin runs a mile in (8/55) hours

For Noah we have:

[tex]T = \frac{4/3}{8 + 2/3} h/mi = \frac{4/3}{26/3} h/mi = \frac{4}{26} mi/h = \frac{2}{13} h/mi[/tex]

Noah runs 1 mile in (2/13) hours.

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Answer:

  C.  x=4 and y= -1

Step-by-step explanation:

A: lines are parallel (both are horizontal)

B. lines are parallel (both have slope -4)

C. lines are perpendicular (one is vertical, one is horizontal)

D. lines are parallel (both have slope 1)

Answer:

f(-9)= -189

Step-by-step explanation:

f(-9)= -3(-9)^2-6(-9)

f(-9)= -3(-9)^2 +54

f(-9)= -3(81) +54

f(-9)= -243 + 54

f(-9)= -189

[tex]f(-9)[/tex]  is [tex]-189[/tex]

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

According to question, we have the function [tex]f(x)=-3x^2-6x[/tex]

We have to find [tex]f(-9)[/tex]

So,  [tex]f(-9)=-3[/tex]×[tex](-9)^{2}[/tex][tex]-6(-9)[/tex]

                [tex]=-243+54[/tex]

                [tex]=-189[/tex]

Hence, we can conclude that   [tex]f(-9)[/tex] is [tex]-189[/tex]

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Answer:

[tex]Distance = 17 \\Midpoint = (11.5 , 12)[/tex]

Step-by-step explanation:

[tex]\sqrt{(16-8) }^{2} -{ (19 - 4)^{2}[/tex]

[tex]8 ^{2} + 15^{2}[/tex]

[tex]64 + 225[/tex]

[tex]\sqrt{289}[/tex]

[tex]distance = 17[/tex]

[tex]\frac{4 + 19}{2} , \frac{8+ 16}{2}[/tex]

[tex]\frac{23}{2} , \frac{24}{2}[/tex]

[tex]Midpoint = 11.5 , 12[/tex]

Hope this helps

plz mark brainliest

9514 1404 393

Answer:

  sec(A) = -(1/5)√74

Step-by-step explanation:

Solving the equation for y, we have ...

  -7x = 5y

  -7/5x = y

The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...

  sec(A)^2 = 1 + tan(A)^2

  sec(A) = √(1 +tan(A)^2)

  sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant

  sec(A) = -(1/5)√74

Answer:

The opposites of these numbers are -7, 4.5, -3.35, and -712

Step-by-step explanation:

Please explain this question as I can't 'Pass necessary journal entries in the books of Narender for the month of March 2006'

Answer:

3.5 * 50 =175 mi :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.5x + 6 - 3= 4.5x - 9

1.5x + 3 = 4.5x - 9

Bringing like terms on one side

3 + 9 = 4.5x - 1.5x

12 = 3x

12/3 = x

4 = x

Option B is the correct answer

Answer:

4-7

Step-by-step explanation:

Answer:

wrong its not 4 7

Step-by-step explanation:

Answer:

Rise/Run = up 3 over 1 = 3/1 (m = 3)

Step-by-step explanation:

Learn this stuff it is very important for future math

Answer:

I believe A...

Step-by-step explanation:

Sorry if i'm wrong):

Option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

If three times a number is at least four or more than eight times the number,

Let x be the number

Mathematically, it can be written as:

3x is at least 4 + 8x

3x - 8x is at least 4

- 5x is at least 4

x is at least -4/5

Thus, option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.

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Answer:

Controlled experiment

The method of data collection used by the federal government agency is controlled experiment.

A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.

The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy  is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.

The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.

Therefore the method of data collection used is controlled experiment.

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Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The answer to your question is:

Step-by-step explanation:

Data

A (8, 9)

B (-2, 4)

1. What is the slope of the line? Show your work

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

m = (4 - 9) / (-2 - 8)

m = -5 / - 10

m = 1/2

2. Write the equation of the line in point-slope form. Show your work

(y - y1) = m(x -x1)

(y - 9) = 1/2(x - 8)

3. Write the equation of the line in slope-intercept form.

(y - 9) = 1/2(x - 8)

y - 9 = 1/2x - 4

y = 1/2x - 4 + 9

y = 1/2x + 5

This work was done by joseaaronlara

Answer:

12 t-shirts

Step-by-step explanation:

12 x 75% = 9 = 9 t-shirts

Answer:

Exact Form:

x =1016 /3

Decimal Form:

x = 338. ¯ 6

Mixed Number Form:

x = 338  2/3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

c is my answer to your question

Answer:-5 F

Step-by-step explanation -6 + -5 = -11

Answer:

so the answer is 1 whole and 3/7 hope this helps :)