Simplify 5+2(6y+3)+4x+y

Answer:

$60,000

Step-by-step explanation:

100,000 / 10 = 10,000, 10- 4=6, 10,000 * 6 = 60,000

To determine the monthly income of a family after 40% is withheld from a $100,000 annual income, subtract the amount withheld ($40,000) from the annual income and divide by 12, yielding a monthly income of $5,000.

To calculate the monthly income after taxes for the family, we first need to determine the amount withheld from the annual income for taxes and retirement plans. With an annual income of $100,000 and 40% being withheld, we do the following calculation:

Therefore, the family's monthly income after the 40% is taken off would be $5,000.

Answer:

It’s FALSE

Step-by-step explanation:

Solving by elimination...

4x=14-3y ---> 12x=42-9y

               ×3

3x-3y=11 ----> 12x-12y=44

               ×4

  12x=42-9y

-(12x-12y=44)

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

12y=-2-9y

21y=-2

y=-2/21

3x-3(-2/21)=11

3x+2/7=11

3x=10 5/7

x=25/7

Answer:

4x=14-3y 3x-3y=11

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 2x + 2 + 3x + 4 = 180, that is

6x + 6 = 180 ( subtract 6 from both sides )

6x = 174 ( divide both sides by 6 )

x = 29

Answer:

Yes! 4(3y-2)=12y-8

Answer:

yes 4(3y - 2) = (12y - 8)

Step-by-step explanation:

because if you should expand 4(3y - 2) by multiplying each value within the bracket by 4, you will have 12y - 8

Answer:

50%

Step-by-step explanation:

He has a 4/8 that he picks a rocky and a 4/8 that he doesn't. That gives us 1/2 and 1/2. 1/2=0.5 0.5×100%=50%

Answer:

x = y/12

Step-by-step explanation:

The measure of the angle is;

200.64 degrees ⇒ B

200 degrees 38' 24" ⇒ C

Step-by-step explanation:

To convert the measure of an angle from degrees to radians or from radians to degrees use these rules

∵ The measure of an angle is 3.5 radians

- We need to change its measure to degree, use the 2nd rule

∵ π = 3.14

∴ Its measure in degree = [tex](3.5).(\frac{180}{3.14})[/tex]

∴ Its measure in degree = 200.64°

To find its measure in degree, minutes and seconds, multiply the number before decimal point by 60 to find the number of minutes

∵ 1° = 60'

∵ 0.64 × 60 = 38.4

- That means the number of minutes is 38

∵ 1' = 60"

∵ 0.4 × 60 = 24

- That means the number of seconds is 24

∴ The measure of the angle is 200° 38' 24"

The measure of the angle is;

200.64 degrees

200 degrees 38' 24"

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Answer:

1. m∠MKN = 41°

Step-by-step explanation:

1.

KM bisects so NKM and MKL are equal

2 (3x + 5) + 8x + 2 = 180 (straight angle)

6x + 10 + 8x + 2 = 180

6x + 8x = 180 - 10 - 2

14x = 168

x = 168/14

x = 12

3*12+5 = 41

m MKN = 41

Answer:

The radius of the cylinder is 4 cm.

Step-by-step explanation:

Given:

radius of cone = 6 cm

height of the cone = 8 cm

height of cylinder = 6 cm

We need to find the radius of cylinder.

Solution:

First we will find the volume of cone.

Volume of cone is one third time square of radius times height times π.

framing in equation form we get;

Volume of cone = [tex]\frac{1}{3}\pi r^2h = \frac{1}{3}\pi\times 6^2\times 8 \approx 301.44 \ cm^3[/tex]

Now Volume of cylinder is given by square of radius times height times π.

framing in equation form we get;

Volume of cylinder = [tex]\pi r^2h=18.84r^2[/tex]

Now it has been given that;

Volume of cone is equal to Volume of cylinder.

so we can say that

[tex]18.84r^2=301.44[/tex]

Dividing both side by 18.84 we get;

[tex]\frac{18.84r^2}{18.84}=\frac{301.84}{18.84}\\\\r^2\approx16[/tex]

Taking square root on both side we get;

[tex]\sqrt{r^2}=\sqrt{16} \\\\r=4\ cm[/tex]

Hence the radius of the cylinder is 4 cm.

Answer:

Step-by-step explanation:

(-3,-9) , (2,-6), (-5,4), (1,2), (6,0)

the domain is gonna be ur x values

so the domain of this function is [ -5,-3,1,2,6] <==

** the domain is ur x values and the range is ur y values

Answer: -1

Step-by-step explanation:

i just answered if off of edg.

Answer:

143/9 = 15.89

Step-by-step explanation:

Answer:

Step-by-step explanation:

Percent change= (1/4-1/8)/1/4 × 100%

= {(2 -1)/8} ÷ 1/4 × 100%

= (1/8 ÷ 1/4) × 100%

= 1/8 × 4/1 × 100%

=1/2 × 100%

= 50%

It is 50% change

Answer:

I believe the answer is 50%.

1/4 x 1/2 = 0.125

125/1000

125/1000 <-- divide numerator and denominator by 125

the above fraction simplifies to 1/8

So, one 1/4 is double the value of one 1/8

Answer: +81

Explanation: To find the next term in the pattern, begin by studying the pattern. Here, notice that 3 x 3 is equal to 9 and 9 x 3 is equal to 27.

Continuing the same pattern, 27 x 3 is equal to 81.

So the next term in the pattern is +81.

Answer:

The slope of the least squares regression line is:

0.32

The units of the slope of the line are:

centimeters per day.

The slope of the line tells you that for each new day you can predict that a plant's height will increase by about 0.32 centimeters.

The y-intercept of the least square regression line is:

-1.72

The units of the y-intercept of the line are:

centimeters.

The y intercept:

Typical height compared to the soil line.

Step-by-step explanation:

addition (+) expression the students used to find the answer.

Solution:

Given data: A student is asked to find the sum of 197 and 413.

Sum means adding two numbers or variables.

For addition, we use + symbol to add two numbers.

First add last digit of the numbers (7+3) = 10.

Put 0 in last and carry 1 to the next left digit top.

Add middle digits with carry over 1 (1 + 9 + 1) = 11

Put 1 and carry another 1 to the next left digit top.

Add first digit of the numbers with carry over 1 (1 + 1 + 4) = 6

Sum of 197 + 413 = 197 + 413

                            = 610

The addition image attached below.

Hence, addition (+) expression the students used to find the answer.

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = [tex]\sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}[/tex]

, i.e. AD = [tex]\sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}[/tex]

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = [tex]\sqrt{[x'' - x']^{2} - [y'' - y']^{2}}[/tex]

, i.e. AB = [tex]\sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}[/tex]

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

Answer:

what does it look like we need that

Step-by-step explanation:

Answer:

Rise

Step-by-step explanation:

The vertical change between two points is called the rise, and the horizontal change is called the run. Just think of the rise as your going up from the bottom to the top. And run as if you were just going from one side to the other.

The function to calculate the number of illiterate people in Sylvania t years from today is P(t) = 9000 * (3/5)^t.

To write a function that gives the number of illiterate people in Sylvania, P(t), t years from today, we can use the following formula:

P(t) = 9000 * (3/5)^t

This formula represents the reduction in the number of illiterate people by 3/5 each year. To calculate the number of illiterate people t years from today, we multiply the initial number of illiterate people (9000) by the reduction factor (3/5) raised to the power of t.

Answer: 9000( 1 - 3/5 ) ^t

Answer:

60$

Step-by-step explanation:

Shipping is 7.50 and the 7 items are 52.5 total

Answer:

According to my calculations, the answer is (x, y)= ( -1, -3 ). In other words, x= -1 and y= -3

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

I believe it is -8

first you 2(-2) - 4

then you  -4 -4= -8

Hope that was helpful.

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]f(x) = 2x - 4 \\ f( - 2) = {?} \\ \\ x = - 2 \\ \\ f( - 2) = 2( - 2) - 4 \\ f( - 2) = - 4 - 4 \\ f( - 2) = - 8[/tex]

=> The answer is -8.

You can't really convert that becasue cups is a volume and pounds is a weight. If I have a cup of feathers and a cup of iron filings, then the iron filings will weigh much less than the feathers. A cup different items would not have the same weight - if you know what I mean.

The domain is all possible values for x.

Here we can see a parabola the goes sideways.

The vertex of the parabola is at (3,-1).

That means the domain is [tex]x\geq 3[/tex]

Think about it this way, is there any point on the parabola that can have a x coordinate of 4?

The range of a function is all possible y values. Is seems that the parabola stretches infinitely up and down, meaning that all values of y are possible.

The correct option will the new price is 120% of the old one because the price increases by 20%, which is added to 100%.

Percent of change is determined by the difference between the two values divided by the orginal one, then multiplied by 100.

i.e. percent of change=(change in value/original value)*100

So according to the asked question,

old value of the shoes=$25

new value of the shoes=$30

change in value=30-25=$5

percent of change=((30-25)/25)*100=20%

hence price increases by 20%.

If the old price is 100 and price increases by 20% then new price will be 120.

So the new price is 120% of the old one.

in another way we can calculate that

old value*x%=new value

⇒old value*x/100=new value

⇒x=new value*100/old value=30*100/25=120%

Therefore the new price is 120% of the old one because the price increases by 20%, which is added to 100%.

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Answer:

f(x) = (x - 3)² - 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Add/subtract ( half the coefficient of the x- term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 8

     = (x - 3)² - 1

In similar triangles ΔFGH and ΔLMN, only the corresponding angles are congruent (thus ∠H ≅ ∠N). The sides are proportionate, not necessarily congruent. Other listed options are either incorrect or unclear due to potential misinterpretations or typographical errors.

Given that triangles ΔFGH and ΔLMN are similar (ΔFGH ~ ΔLMN), the following must be true based on the concept of similar triangles:

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