1/2x+y=4
x+1/3=2
solve the linear system ​

The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.

Therefore the answer is d) $1,662.50.

Here is the breakdown of the calculation:

Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000

The first $3,500 are taxed at 3%, which is

= 0.03×3500

= $105

The next $3,500 are taxed at 4.5%, which is

= 0.045×3500

= $157.50

The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is

= 0.07×20000

= $1,400

Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.

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11 students could sell 1870 cookies.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.

An expression is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in certain ways. Language phrases can comprise actions on their own, but they do not make up complete sentences.

=  10 X 17

=  170 X 11

= 1870

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It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.

This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.

It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.

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The corresponding element in the range when 7 is an element  in the domain is f(7)=33

Step-by-step explanation:

Given that the 7 is an element in the domain of f(x)

The function f is defined by f(x)=6x-18/2

To find the corresponding element in the range:

That is put x=7 in the given function f(x)

Therefore f(x) becomes

f(7) = 6(7)-18/2

      =42-18/2

      =42-9

      =33

Therefore corresponding element in the range when 7 is an element  in the domain is f(7)=33

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To determine if three measures can make a triangle, use the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.

for example

side 1 = 6

side 2 = 8

side 3 = 10

6 + 8 = 14 > 10,

therefore the three sides can make a triangle.

1. Gather the three measures of the triangle.

2. Add the two smallest side lengths together.

3. Compare the sum of the two smallest sides to the longest side.

4. If the sum of the two smallest sides is greater than the longest side, then the three measures can make a triangle.

5. If the sum of the two smallest sides is not greater than the longest side, then the three measures cannot make a triangle.

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Answer:

28 ft

Step-by-step explanation:

112 ft / 4 sides (since it is a square background)

112/4 = 28 ft/side length.

Answer:

y=-2/3x+4

Step-by-step explanation:

slope intercept form = y=mx+b

y=-2/3x+4

The true statement is 6 less than 10

From the question, we have the following parameters that can be used in our computation:

(-2) (-3) less greater than equal than 8- (-2)

We start by evaluating each expression

So, we have the following representation

(-2) (-3) = 6

8- (-2) = 10

Substitute the known values in the above equation, so, we have the following representation

6 less greater than equal than 10

6 is less than 10

So, we have

6 less than 10

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Answer:

x+7

Step-by-step explanation:

Remove Parentheses

Collect like terms

Calculate

Answer: x+7

Step-by-step explanation: distribute the -2 first

3x - 2x + 8 - 1

simplify (combine like terms )

3x-2x= x

8-1= 7

x+7  

Hope this helps (^_^)

Answer:

y = 1/2x + 0

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

6x + 5x = 99

11x = 99

x=99/11

x=9

6x = 6x9 = 54

5x = 5x9 = 45

ans: 54

Answer:

A. y = (x + 3)(x - 2)

Step-by-step explanation:

I used the points where the line crosses the x - axis. (0,-3 and 0,2).

Also, graph it. I use desmos.

Answer:

A)

Step-by-step explanation:

Graphed the equation

Answer: 495 people

Step-by-step explanation:

As this involves the population in a future year, you can use the future value model for this:

= Population * ( 1 + rate of increase) ^ number of years

Number of years = 2020 - 2011

= 9 years

Rate of increase will be negative to show that it is a decrease.

= 567 * ( 1 - 1.5%) ⁹

= 494.9

= 495 people

Answer:

X=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

17x−30+7x+18=180

17x+−30+7x+18=180

(17x+7x)+(−30+18)=180(Combine Like Terms)

24x+−12=180

24x−12=180

Step 2: Add 12 to both sides.

24x−12+12=180+12

24x=192

Step 3: Divide both sides by 24.

X=8

Answer:

3.1354776 m2

Step-by-step explanation:

Answer: 33.75

Step-by-step explanation:

5 times 3 is 15 and 15 times 2 1/4 is 33.75

Answer:

a. 5 seconds

b. 1 second

Step-by-step explanation:

Plug the values into the equation and solve for t.

[tex]f(t)=-16t^2+400\\f(t)=-16t^2+16[/tex]

The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

1st snowman took time t = 4 hours

2nd snowman take half of the first t / 2 = 2 hours

so total time

= t + t/2

= 4 + 2

= 6 hours

The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.

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There were 64 calls that Anna answered in this algebra question,

What is Answered calls?

Total engaged calls, another name for answered calls, is a measurement of all incoming calls that were handled by an agent during regular business hours.

Solution:

If Ana answers more calls than Darryl does, then let D be the number of calls Darryl Answered.

A + D = 80

A = 4D

4D + D = 80

5D = 80

D = 80 / 5

    = 16

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According to the algebra, Ana answered 16 calls,

The area of mathematics known as algebra is used to represent situations or problems using mathematical expressions. In algebra, we use numbers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine numbers with variables like x, y, and z.

Solution:

Let D be the number of calls Darryl answered if Ana answers more calls than he does.

A + D = 80

A = 4D

4D + D = 80

5D = 80

D = 80 / 5

   = 16

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You can identify equivalent expressions if one of the expressions can be written like the other and it is usually written by combining any like terms on each side of the equation such as x-terms with x-terms and constants with constants.

These are the type of expressions that have similar value or worth but do not look the same.

This type of expression can be identified if one of the expressions can be written like the other and example can be seen below:

3(x + 3) and 3x + 9

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Answer:

5/12

Step-by-step explanation:

Add both fractions and divide by 2 to find the one right in between.

3/8+11/24=5/6

then divide by two

(5/6)/2=5/12

=5/12

Answer:

You can use formulas for finding them but this is my best method.

Step-by-step explanation:

21=3×7

35=5×7

49=7×7

Finding the hcf or gcf you will first find the common numbers between all the prime factors which is 7.

Therefore gcf of 21,35 and 49 is 7

Answer:

x > - 3

Step-by-step explanation:

x + 2[tex]\frac{1}{2}[/tex] > - [tex]\frac{1}{2}[/tex]      First turn 2[tex]\frac{1}{2}[/tex] into an fraction since its easier. So it becomes [tex]\frac{5}{2}[/tex]

x + [tex]\frac{5}{2}[/tex] > - [tex]\frac{1}{2}[/tex]

  - [tex]\frac{5}{2}[/tex]     - [tex]\frac{5}{2}[/tex]         Do inverse operations, so subtract [tex]\frac{5}{2}[/tex] from both sides.

    x > - [tex]\frac{6}{2}[/tex]          Combine  - [tex]\frac{5}{2}[/tex] with - [tex]\frac{1}{2}[/tex], which gives us - [tex]\frac{6}{2}[/tex]

    x > - 3          Since we know that 6 divided by 2 is 3.

This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)

<-------------O--------------------------------------------------->

-5    -4     -3      -2       -1     0     1     2    3    4     5

So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.

Answer:

C = 18π m

Step-by-step explanation:

The circumference (C) of the circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 9 = 18π

Answer:

[tex](x+5)^2+(y-6)^2=41[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius

1) Plug in the center (-5,6)

[tex](x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2[/tex]

2) Plug in the given point (-1,1) and solve for r²

[tex](-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2[/tex]

Therefore, r² is 41. Plug this back into [tex](x+5)^2+(y-6)^2=r^2[/tex]:

[tex](x+5)^2+(y-6)^2=41[/tex]

I hope this helps!

Answer:

33 degrees

Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90

90-57=33

Therefore 33 degrees is the answer

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The Trigonometric inequality Sec (x)< cot(x) will hold true in π/2 < x < π.

How can a trigonometric inequality be expressed?

The intervals where the trigonometric inequality sec (x) cot (x) always holds true are what we are looking for.

This can also be expressed as: 1/cos (x) < 1/tan (x)

Now, this is only possible in the fourth quadrant, where cos x is positive and tan (x) is negative, where: π/2 < x < π.

The values for sin, cos, and tan are all positive in the first quadrant.

Only positive values for sin are present in the second quadrant.

The tan values in the third quadrant are all positive.

Only positive values for cos are present in the fourth quadrant.

Therefore the inequality Sec(x) < cot(x) will hold true in π/2 < x < π.

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Answer: 8 times greater

Step-by-step explanation: divide them 904.32/113.04 and you'll get 8

Answer:

(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.

Step-by-step explanation:

Gradpoint