The following table provides information about the median income in four states in

2016. Virginia had an index of 127.2 that year. What was the median income in Virginia?



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Answer:

Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of annual deductions to bear by Marlene

Required deductions = $15,000

Contribution to cost of health insurance plan per-year = $4800 * 10% = $480

Contribution to cost of life insurance plan per-year = $900 * 20% = $180

Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320

Step 2: Calculation of annual paychecks

Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020

Step 3: Calculation of bimonthly paychecks

Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50

Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.

Answer:

the price of the package without the discount is $150

Step-by-step explanation:

The computation of the price of the package without the discount is shown below:

Let us assume the price without discount be x

So after discount it would be x - 0.12x = 0.88x

Now the equation would be

0.88x = $132

x = $132 ÷ 0.88

= $150

hence, the price of the package without the discount is $150

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:50.27

Step-by-step explanation:

Answer:

[tex]\frac{8}{21}[/tex]

Step-by-step explanation:

Given:

[tex]2\frac{5}{8}=\frac{8*2+5}{8}[/tex]

Mutliply :

[tex]2\frac{5}{8} =\frac{16+5}{8}[/tex]

Add:

[tex]2\frac{5}{8} =\frac{21}{8}[/tex]

Multiplicative inverse:

[tex]2\frac{5}{8} =\frac{8}{21}[/tex]

Answer:

C. x=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

I got it right on the test

Answer:The graph will pass through the origin. The graph will not pass through 0,0.

Step-by-step explanation:

Have a nice day

Answer:

greater/less than or equal to sign

Step-by-step explanation:

Answer: ⩽

Step-by-step explanation:

This inequality symbol means "at most"

hope this helps :)

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂

Answer:

So, KM and ST are perpendicular  lines

Step-by-step explanation:

Find the slope of KM and ST.

K (-3, -7), M(3, -3)

Slope of KM = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                    [tex]= \frac{-3-[-7]}{3-[-3]}\\\\= \frac{-3+7}{3+3}\\\\ = \frac{4}{6}\\\\= \frac{2}{3}[/tex]

S(0 , 4)  & T(6 , -5)

Slope of ST = [tex]\frac{-5-4}{6-0}[/tex]

                   [tex]=\frac{-9}{6}\\\\=\frac{-3}{2}[/tex]

Slope of KM * slope of ST = [tex]\frac{2}{3} * \frac{-3}{2}[/tex]

                                           = -1

So, KM and ST are perpendicular  lines

Answer:

perpendicular

Step-by-step explanation:

Answer:

m is the slope of the equation y=mx+b. TO find the slope you look at the y intercept of the graph, b, and from that point find how much up/down and to the right/left you need to go. For example from point 0, 4, the y intercept, to another point on the graph (any point on the line would work) 2, 8 , I need to go up 4 units and to the right 2 units. The slope is 4/2 or just 2.'

If this is too confusing just find two points on the line in a graph and folow this equation: y2-y1 / x2-x1

where y2 is the y value of the second point, y1 is the y value of the first point, x1 is the x value of the first point and x2 is the value of x in the second point

Step-by-step explanation:

Answer:

In the equation y=mx+b, m is the slope. The formula for slope is [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2} }[/tex], so to solve find any two points on the graph and plug them into the formula. You could also count the difference, remember that slope is the change in y over the change in x. For example, if y increases by 3 units and x increases by 2 units then the slope is 3/2.

Answer:

A.

or

4.

Step-by-step explanation:

Answer: Your answer is: (-4,∞)

Answer:

40.) $7,959.18

Step-by-step explanation:

If 1.5% of 7,841.56 is 117.62, add them both together to get her total income for the week. In this case, that's $7,959.18.

Answer:

B

Step-by-step explanation:

41.4

Step-by-step explanation:

Hope this helps ∞<3

let me know if its right or wrong

Answer:

2x + 1y = 5

Step-by-step explanation:

You don't need to type the 1 because all ones are invisible in algebra.

Answer:

h=9

Step-by-step explanation:

54=1/2(12)h

54=6h

9=h

Answer:

Albert needs 32 cars to wash to reach his goal.

Step-by-step explanation:

We know that the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope or rate of change and b is the y-intercept

It is stated that Albert needs $133 to buy a new hard drive.

As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.

As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.

Let 'x' be the number of cars he needs to wash to reach his goal.

Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function

y = mx+b

133 = 4.75x - 19

133+19 = 4.75x

152 = 4.75x

x = 152 / 4.75

x = 32

Therefore, Albert needs 32 cars to wash to reach his goal.

Answer:

5x-10x+100 or a simplified version: -5x+100 where x is the number of shirts

Step-by-step explanation:

5x is for every shirt they have to pay for and it adds to the cost

-10x is for every shirt they sell which decreases the total cost

100 is for the upfront cost of having the shirts professionally designed

hope this helped and if i misunderstood something lmk so i can change it :))

Answer:

C

Step-by-step explanation:

Red is 30, so 30/100 or 0.3

Most is yellow.

So its C

Hope this helps plz hit the crown :D

Answer:

c

Step-by-step explanation:

Answer:

[tex]35\ units[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Side\ JK=(4x+19)\\Side\ KL=(9x-1)\\Now, By\ observing\ the\ triangle, we\ notice\ that\ \angle K = \angle L = \angle J.\\ Hence,\triangle JKL\ is\ an\ equilateral\ triangle\ as\ all\ its\ angles\ are\ equal.\\Hence,\\Another\ property\ of\ an\ equilateral\ triangle\ is\ its\ sides\ are\ equal\ too.\\Hence,\\Side\ JK= Side\ KL= Side\ JL\\Hence,\\By\ focusing\ only\ over\ the\ Sides\ JK\ and KL,\\(4x+19)=(9x-1)\\Hence,\\By\ solving\ the\ equation,\\4x+19=9x-1\\[/tex]

[tex]19+1=9x-4x\\By\ using\ the\ Symmetric\ Property\ Of\ Equation,\\9x-4x=19+1\\Hence,\\5x=20\\x=4\\Now,\\As\ KL=(9x-1)\\By\ substituting\ x=4\ in\ (9x-1) ,\\9*4-1\\=36-1\\=35[/tex]

Answer:

no more than 53

Answer:

x=6

Step-by-step explanation:

2x-3=9

ad three on both sides then divide 2 on both sides

Answer:

It is $46 per video game because 92 divided by 2 is 46.

Step-by-step explanation:

Answer:

39°

Step-by-step explanation:

Complementary angles sum up to 90°

< JKL + < RST = 90

36 + x + 15 =90

51 + x = 90

x = 39°

Answer:

3.15 for 10 is the better deal

Step-by-step explanation:

This is because $3.15 for 10 apples is worth 32 cents per apple. On the other hand, $4.10 for 11 apples is worth 37 cents per apple. And even though you're getting more apples it is costing you more per apple.

Answer:

14d-10.50

Step-by-step explanation:

clear the brackets by putting an invisible one in front for example: (5)= 1 x 5, then simplify the like terms example: -5 + 1.05 = -3.95 ( it's a positive sign because the invisible one in front of the (1.05) is positive), then do the distributive law for example: 2( 7d - 3.95) is equal to 14d-10.50