On your own paper, graph the system of equations and identify the solution.=2−4=−12+1

For the given high school committee officers.

We need to find the sharing between the committee officers.

AS shown:

Amber is a common between A and B

Calipso is a common between A and C

Juan is a common between A and D

Sam is a common between B and C

So, the figure represents the situation will be option A

Gross Earning is $323

Total deduction is $95.77 and Net pay is $227.23

In light of the hourly rate and salary (8.50, 38.0)

$8.50 an hour is the pay rate.

worked 38.0 hours in total.

38 hours total compensation (Gross Earning)=38×8.5 =$323

Now, we can see the total tax deduction.

Federal taxes (assumed to be 15% of gross income)

Therefore, Federal taxes = 0.15 x 323 = $48.45

State taxes (assuming 5% of gross earnings)

Therefore, State taxes = 0.05 x 323 = $16.15

Local taxes (assuming 2% of gross earnings)

Therefore, Local taxes = 0.02 x 323 = $6.46

Social security deduction (assuming 7.65% of gross earnings)

Therefore, Social security deduction = 0.0765 x 323 = $24.71

Total deduction = Federal taxes + State taxes + Local taxes + Social security deduction

Total deduction = 48.45+16.15+6.46+24.71 = $95.77

Net Pay = Gross Earning - Total deduction

Net Pay = $323 - $95.77 = $227.23

Thus, Gross Earning is $323, Total deduction is $95.77 and Net pay is $227.23

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She spend J$10039.48 in Jamaican currency on souvenirs.

The term "money" in mathematics refers to a form of payment, such as bills, coins, and demand deposits, that is used to purchase goods and services. Money is used to pay for the worth or price of an item or service. The US dollar is the country's recognized unit of exchange. A currency is the standardization of money, including banknotes and coins, that is used or in circulation as a means of exchange. A currency can also be defined more broadly as a system of money that has been used often over time within a particular setting, particularly by residents of a country state.

Given Data

While on a holiday in Montego Bay, Jamaica, Marilyn shops for souvenirs for friends. She has budgeted C$120 for souvenirs.

She spend a certain amount in Jamaican currency is:

CD$120(83.6623)

J$10039.48

She spend J$10039.48 in Jamaican currency on souvenirs.

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The data on the attempts and distances of the science experiment on the launch of a ball by a catapult, presented in a tabular form gives the following;

a. The five attempts have an average distance of 50.58

b. The distance the sixth ball has to travel so as to give an average distance traveled of 50.9 meters is 52.5 meters

An average is a descriptive statistics that tends to describe the values in a dataset. An average or the mean of a dataset is obtained by summing the data values and dividing the result by the number of data points

Please find attached, the Attempt to Distance table obtained from a similar question online

a. The formula for average, [tex] \bar{x} [/tex] of a set of data or observations is presented as follows;

[tex] \displaystyle{\bar x = \frac{Sum \: of \: observations}{Number \: of \: observations}} [/tex]

Mathematically, we have;

[tex] \displaystyle{\bar x = \frac{\sum x}{N}} [/tex]

Which gives from the attached table;

[tex]\displaystyle{\sum {x} =50.7+49.4 +52.3 + 48.9 + 51.6 = 252.9}[/tex]

N = 5

Which gives;

[tex] \displaystyle{\bar x = \frac{252.9}{5} = 50.58}[/tex]

b. The distance, d, the ball has to travel on the sixth attempt to get an average of 50.9 meters is found as follows;

The new total number of attempts, N = 6

Which gives;

[tex] \displaystyle{\bar x = 50.9 = \frac{d + 252.9}{6} }[/tex]

6 × 50.9 = d + 252.9

Therefore;

d = 6 × 50.9 - 252.9 = 52.5

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Answer:

3=-4x+3y or -4x+3y=3

Step-by-step explanation:

it perpendicular

To find the arc length we need to know the angle subtended by the arc.

From the diagram we notice that angle MNK is of 180°.

We also notice that:

Then the angle subtended by the arc MKL is 218°.

Now that we know this we need to remember that the arc length is given by:

in this case the radius is 3 ft (The radius is half the diameter) then we have that:

Therefore the arc length is 11.4 ft.

Th length of the garden when the teacher bought 50 feet of fence is 17 feet.

From the information, the width needs to be the same size as the shed which is 8ft and she bought 50 feet of fence and wants the largest garden she can make,

It should be noted that perimeter is calculated as:

= 2(Length + Width)

In this case, the perimeter is 50 feet.

2(Length + Width) = 50

2(Length + 8) = 50

2L + 16 = 50

2L = 50 - 16

2L =34

Divide

L = 34/3

L = 17 feet.

The length is 17 feet.

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The equation that can be used to solve for the number of classes, c, for which Class A and Class B cost the same is D. 40c = 25c+60

From the information, Rai compares the fee structure for two different art classes.

For class A, it should be noted that the expression will be 40c.

For class B, it should be noted that the expression will be 60 + 25c where c is the number of classes

Therefore, equating both equations will be:

40c=25c+60

In conclusion, the correct option is D.

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Answer: 114.

Step-by-step explanation: This would be an equation to set up. We have all three parts of the equation: The sum of the two numbers (236), one of the integers (122), and then an unknown number, (let's call it x).  Since 236 is the total, 122 is one of the numbers, we need to look for the unknown number, x. Then we would set it up as 122+x=236.  Subtract 122 to both sides, to get 114.

Answer: 1/12

step by step equation:

The correct answer is [G] x-4

x-4 is the expressions is a factor of the expression x² - 6x + 8.

The positive integers that can divide a number evenly are known as the factors in mathematics. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.

The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.

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The short answer is [tex]\frac{2}{5}+3^2[/tex] will be considered rational.

Why you ask? Continue reading below for a deeper explanation.

_____________________________________________________

"What Are They?" - Descriptions and Examples

Rational Numbers are numbers in which can be expressed as an integer or the quotient of an integer divided by a nonzero integer. For example, the number can be represented in the form of [tex]\frac{p}{q}[/tex] , where P and Q are integers and Q ≠ 0.

Irrational Numbers on the other hand cannot be written in the form of simple fractions. In other words, it is a real number the isn't able to be made by dividing two integers.

_____________________________________________________

Hope this helps! If I missed anything, feel free to ask any further questions you may have regarding the topic below in the comments and I'll see what else I can do to assist you further. However, if this did help, feel free to lmk. Thank you for your time and I wish you the best of luck on the rest of your studies!

Answer:

Mai 19

Bill 29

Dante 57

Step-by-step explanation:

assume

mai = X

Bill = Y

Dante = Z

X + Y + Z = 105

Z = 3X

Y = 10 + X

then

X + Y + Z = X + 3X + 10 + X

5X + 10 = 105

5X = 95

X = 19

Y = 29

Z = 57

The information that would be included or entered into the application or online tool for personal budgeting should include but not be limited to:

The features that the tool will have are:

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If a telemarketer calls people and tries to sell them a subscription to a daily newspaper. On 25 % of her calls, there is no answer or the line is busy. She sells subscriptions to 9 % of the remaining calls. The proportion of calls she make a sale is: 189/ 25.

Given data ;

Calls without answer or line busy  = 25%

Subscription sold out of remaining calls = 9%

Now let determine the proportion of calls she make a sale :

Proportion = 9 % ×  ( 100 % - 25 %)

Proportion = 9 % × 75 %

Proportion = 7.56 %

Since we were told the  proportion of calls she make a sale we would have to convert the percentage into fraction :

Proportion :

Proportion = 7.56 %

Proportion = 189 / 25  

Therefore we can conclude that the proportion  is 189 / 25.

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Answer:

3671.8, 3576.4

Step-by-step explanation:

The third angle of the triangle is 19°.

Let the first length be a. Then,

[tex] \frac{a}{\sin 85^{\circ}}=\frac{1200}{\sin 19^{\circ}} \\ \\ a=\frac{1200\sin 85^{\circ}}{\sin 19^{\circ}} \approx 3671.8[/tex]

Let the second length be b.

[tex] \frac{b}{\sin 76^{\circ}}=\frac{1200}{\sin 19^{\circ}} \\ \\ b=\frac{1200\sin 76^{\circ}}{\sin 19^{\circ}} \approx 3576.4[/tex]

The standard normal distribution or standardized normal distribution is a singular normal distribution. Its variable, Z is the product of a transformation or change of variable of the variable X. This transformation is called typing:

From our exercise, the values of

Now we look up this value of z in our table so we can find the probability at this point. the first digits that is 0.9 tells us in which row we are going to search and the third 0.02 in which column

Answer:

i really dont understand u gotta take better pictures

Step-by-step explanation:

Work Shown:

(15 oz of flour)/(8 fl oz of milk) = (x oz of flour)/(15 fl oz of milk)

15/8 = x/15

15*15 = 8*x

225 = 8x

8x = 225

x = 225/8

x = 28.125

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle 4[/tex] and [tex]\angle 5[/tex] are supplementary since they are consecutive interior angles.

The maximum value in this range is 8.3 girls. The range of a set of numbers is the difference between its highest and lowest values. To find it, subtract the lowest number from the highest in the distribution.

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Answer:

Option 1:

Explanation:

In order for f(x) to be concave up in an interval, the graph of the derivative would have to be increasing in that interval.

In the given graph, from x=-1.5 to x=1.5, the graph of the derivative is decreasing, therefore, the statement that "f is concave up from x=-1.5 to x=1.5" is false.

Next, for f to have an inflection point at any x-value the slope of the derivative, f'(x) must change signs at that x-value. Therefore, the statement "f has an inflection point at x=1.5" is true.

Finally, for f(x) to have a relative minimum at x=2, the value of the derivative must be 0, which is as seen on the graph.

Therefore, the first option is False.

19/38 and 15/18

Explanation:

19/38 can be reduced as there is a factor other than 1 that can divide without a remainder. Factor is 19

It can still be reduced because 19*2 = 38

19/38 = 1/2

10/19 cannot be reduced as there is no factor other than one to divide without a remainder

21/34 cannot be reduced as there is no factor other than one to divide without a remainder

15/18 can be reduced as there is a factor other than 1 that can divide without a remainder.

The factor is 3

15/18 = 5/6

Fraction that has not been reduced to simplest form are 19/38 and 15/18

The slope of the model is 0.83 and a graduate is expected to have an average salary of  $20856

The equation of the linear model is given as

y = 0.83x + 106

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that when the equations y = mx + c and y = 0.83x + 106 are compared, we have:

m = 0.83

This means that the slope of the equation y = 0.83x + 106 is 0.83

Hence, the slope of the equation is 0.83

How to determine the average salary for a graduate?

Here, we have

Annual tuition = $25,000

This means that

x = 25,000

So, we have

y = 0.83 x 25000 + 106

Evaluate

y = 20856

Hence, the average salary for a graduate is $20856

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A rectangle has a perimeter of 60 feet. The rectangle's length is four times its width. The area of rectangle is 144 square feet.

Given that,

A rectangle has a perimeter of 60 feet.

The rectangle's length is four times its width.

We have to find the area of rectangle.

Let us take length as x

The width will be 4x

The perimeter =2(4x+x)

2(4x+x)=60

4x+x=60/2

5x=30

x=30/5

x=6

The length will be 6.

The width will be 4×6=24.

The area of rectangle is length×width

=6×24

=144 square feet.

Therefore, the area of rectangle is 144 square feet.

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dilation, k=0.5

Explanation

Step 1

as we can see, the quadrilaterals have different size. it means we can discard a traslation

Step 2

now, we can see both quadrilateral have similar shape, so we can check for a dilation.

A dilation is a type of transformation that changes the size of the image. The scale factor measures how much larger or smaller the image is

in this case, quadrilateral 1 is bigger than quadrilateral 2, it means it suffered a compresion, so k is smaller than 1

we can find k,

let

A=a point of the quadrilateral

I hope this helps you

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Given that tanx and sinx is negative, determine sin(2x), cos(2x), and tan(2x) Write the exact answer. Do not round: Answer Keyboard sin(Zx) cos(2x) Submit Ar

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Video Transcript

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1 kg = 1000g

Hence,

This implies that,

Answer:

B P = 25 + 8B + 4R

Step-by-step explanation:

The price quote, P, will be equal to the total amount of charges. It’s given that there is a $25 base charge, so we can begin by writing the price quote as P = $25. To this base charge of $25, $8 per each bathroom, represented by the variable B, is added; our price quote is now P = $25 + $8B. Lastly, $4 per each other room, R, is added, and the actual price quote is P = $25 + $8B + $4R, or P = 25 + 8B + 4R.

Answer:

angle 1 = 34 degrees

Step-by-step explanation:

Angle 2 and angle 6 are corresponding, therefore they are congruent and have a measure of 146 degrees.

angle 1 and angle 2 form supplementary angles so:

angle 1 = 180-angle 2

angle 1 = 180 - 146

angle 1 = 34 degrees