Evaluate the expression when c=5 and x=-4.
4c-x ALEKS PLEAHSE HELP

Evaluate The Expression When C=5 And X=-4.4c-x ALEKS PLEAHSE HELP

Answers

Answer 1
Final answer:

To evaluate the expression 4c - x with c=5 and x=-4, substitute the values to get 4*5 - (-4), which simplifies to 20 + 4, resulting in a value of 24.

Explanation:

To evaluate the expression 4c-x when c=5 and x=-4, substitute the given values for the variables c and x into the expression.

Step 1: Substitute c = 5 into the expression.

4 × 5 - x

Step 2: Substitute x = -4 into the expression.

4 × 5 - (-4)

Step 3: Carry out the multiplications and additions.

20 - (-4) = 20 + 4

Step 4: Add the numbers.

20 + 4 = 24

Therefore, when c = 5 and x = -4, the value of the expression 4c - x is 24.

Answer 2

The value of the expression 4c-x when c=5 and x=-4 is 24.

To evaluate the expression (4c - x) when (c = 5) and (x = -4), follow these steps:

1. Substitute (c = 5) into the expression: [tex]\(4 \times 5 - x\)[/tex]

2. Substitute (x = -4) into the expression: [tex]\(4 \times 5 - (-4)\)[/tex]

3. Simplify the multiplication: (20 - (-4))

4. Simplify further by changing the double negative to addition: (20 + 4).

5. Add the numbers: (20 + 4 = 24).

Therefore, when (c = 5) and (x = -4), the value of the expression (4c - x) is (24). The process involves substituting values, simplifying, and performing addition to obtain the final result.


Related Questions

The length of rectangle is eight more than twice its width. The perimeter is 96 ft. What are the dimensions

Answers

L = length

W = width

L = 2(2W + 8)

W = 2W

Perimeter: 96 = 4W + 16 + 2W

96 = 6W + 16

80 = 6W

13.33 = W

Plug this into the equation:

2(13.33) + 8

26.67 + 8 or 34.67 = L

Because we don’t know what the width of the rectangle we make it equal to x. So to find the length you would make it 2x+8 becuase if the length is 8 more then the width you add 8 to x, x+8. And becuase the length it “twice” the with you would make it 2x+8. Now you make everything = to 96

2x+8 + 2x+8 + x + x =96 (you put each equation in twice becuase you have 2 width and length on a rectangle)
6x + 16 = 96
6x=80
X=13.3334

Now you plug in 13 in for x
2(13.333)+8=34.666( length = 34.667)

34.666+34.666+13.333+13.333=96

(Nicer numbers if you round)
35+35+13+13=96
L=35
W=13

What is the balance after Anna writes check #1620? A) $1536.24 B) $1606.42 Eliminate C) $1734.81 D) $1760.61

Answers

I can’t understand your question

The correct answer is B) [tex]$1606.42[/tex]. The balance after Anna writes check  is

 [tex]$1606.42[/tex].

To solve this problem, we need to follow the transactions in Anna's checking account to determine the balance after check #1620 is written. Let's assume that the initial balance before any transactions is $0.00.

 Let's check each option:

A) [tex]$1536.24[/tex][tex]- $1452.77 = $83.47[/tex] (This cannot be the correct balance after check #1620 because it does not match the balance after check #1612.

B)[tex]$1606.42 - $1452.77 = $153.65[/tex] (This is the amount spent on groceries, indicating that the balance after check #1612 is correct and no additional funds were withdrawn by check #1620.)

 C)[tex]$1734.81[/tex][tex]- $1452.77 = $282.04[/tex] (This would mean an additional $282.04 was withdrawn after the groceries purchase, which is not possible since we are looking for the balance after one check, #1620.)

 D) [tex]$1760.61[/tex][tex]- $1452.77 = $307.84[/tex] (This would also mean an additional amount was withdrawn, which is not possible for the same reason as option C.) Therefore, the only logical balance that matches our calculations after check #1620 is option B) $1606.42, which implies that check #1620 did not change the balance from what it was after check #1612. This means that check #1620 was for the same amount as the groceries purchase ($153.65), which brought the balance back to $1606.42 after the groceries were bought

Ideally a te 2/3 of a bag of candy. She ate 20 pieces how many were originally in the bag

Answers

There were 30 candies originally in the bag because 1/3 is half of 2/3 and 10 is have of 20 therefore 1/3 would be 10 and 10 times 3 equals 30

Solve 12|x|−7=812|x|-7=8​

Answers

Answer:

Step-by-step explanation:

It's unclear, but if is the question

12x-7=8

then

x=[tex]\frac{5}{4}[/tex]

Answer:

[tex]\huge{\boxed{x=\pm\dfrac{5}{4}}[/tex]

Step-by-step explanation:

[tex]12|x|-7=8\qquad\text{add 7 to both sides}\\\\12|x|-7+7=8+7\\\\12|x|=15\qquad\text{divide both sides by 12}\\\\\dfrac{12|x|}{12}=\dfrac{15}{12}\\\\|x|=\dfrac{15:3}{12:3}\\\\|x|=\dfrac{5}{4}\iff x=\pm\dfrac{5}{4}[/tex]

13. Marisa walked her dog mile on Saturday and 55 mile on Sunday. How far did she walk her dog in all?

Answers

Question:

Marissa walked her dog 1/10 mile on saturday and 55/100 mile on sunday. how far did she walk her dog in all?​

Answer:

Marissa walked [tex]\frac{65}{100}[/tex] miles altogether on saturday and sunday

Solution:

Given that, Marissa walked her dog

From given information,

[tex]\text{Miles walked on saturday } = \frac{1}{10} \text{ mile }\\\\\text{Miles walked on sunday } = \frac{55}{100} \text{ mile }[/tex]

We have to find the distance walked in all

[tex]\text{Total distance } = \text{Miles walked on saturday + Miles walked on sunday }[/tex]

Substituting the values we get,

[tex]\text{Total distance } = \frac{1}{10} + \frac{55}{100}[/tex]

Make the denominators same for easier calculations by taking L.C.M of 10 and 100

Prime factors of 10 = 2 x 2 x 5

Prime factors of 100 = 2 x 2 x 5 x 5

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 5, 5

Multiply these factors together to find the LCM

LCM = 2 x 2 x 5 x 5 = 100

[tex]\text{Total distance } = \frac{1}{10} + \frac{55}{100}[/tex]

[tex]\text{Total distance } = \frac{1 \times 10}{10 \times 10} + \frac{55}{100}\\\\\text{Total distance } = \frac{10}{100} + \frac{55}{100}\\\\\text{Total distance } = \frac{10+55}{100} = \frac{65}{100}[/tex]

Thus she walked [tex]\frac{65}{100}[/tex] miles altogether on saturday and sunday

Solve 3/5y=6 ''''''''''''''''''''''''''

Answers

Answer:

y = 10

Step-by-step explanation:

The question is a simple equation and ought to be 3y/5 = 6 ( in stead of 3/5y=6)

Multiply through by the lowest common multiple (LCM) of denominator (which equals 5)

5 × 3y/5 = 6 × 5

3y = 30

Divide through by 3

3y/3 = 30/ 3

y = 10

Therefore, y = 10

Check

3y/5 = 6

y = 10

3(10)/5 = 6

30/5 = 6

6 = 6

Choose the correct simplification of (3p)(5q).
pq
2pq
8pq
15pq

Answers

Answer:15pq

Step-by-step explanation:

The correct expression is 15pq.

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

(3p)(5q).

=3p * 5q

=15 pq

Hence, the simplified expression is 15 pq.

Learn more about expression here:

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Jordan can type 96 words in 2 min. How many words can she type in 5 min?

Answers

Answer:

240 words

Step-by-step explanation:

96÷2=48

48×5=240

Jordan can type 240 words in 5 minutes, based on her typing speed of 48 words per minute.

Jordan can type 96 words in 2 minutes. To find out how many words she can type in 5 minutes, we need to calculate her typing speed per minute and then multiply it by 5 minutes. First, we find the typing speed per minute:

Speed = Total words / Total time = [tex]\frac{96}{2}[/tex] = 48 words per minute.

Now, we multiply this speed by 5 minutes to find out how many words Jordan can type in that time:

5 minutes x 48 words/minute = 240 words.

So, Jordan can type 240 words in 5 minutes.

6r-r+8(15-r)+23-6
is -3r+137 equivalent to the given expression
and explain how the expressions are or not.

Answers

Answer:

Therefore,

[tex]6r-r++(15-r)+23-6 = -3r+137[/tex] i.e

[tex]6r-r+8(15-r)+23-6[/tex]    and

[tex]-3r+137[/tex] are Equivalent .

Step-by-step explanation:

To Check:

[tex]6r-r+8(15-r)+23-6[/tex] and

[tex]-3r+137[/tex] is Equivalent or Not

Solution:

Consider,

[tex]6r-r+8(15-r)+23-6[/tex]  

Step 1 . Apply Distributive Property , A(B+C)=AB+AC we get

[tex]6r-r+8\times 15-8\times r+23-6[/tex]  

[tex]6r-r+120-8r+23-6[/tex]  

Step 2 . Combining Like Terms i.e r terms and the numbers we get

[tex]6r-r-8r+120+23-6[/tex]  

[tex]-3r+137[/tex]  

Which is Equivalent to the given expression

[tex]-3r+137[/tex]

Therefore,

[tex]6r-r+8(15-r)+23-6= -3r+137[/tex]   i.e

[tex]6r-r+8(15-r)+23-6[/tex]      and

[tex]-3r+137[/tex]                  ..........are Equivalent .

find the values of x and y that make the quadrilateral a parallelogram

Answers

Final answer:

To determine if a quadrilateral is a parallelogram, we need to compare the lengths of the sides and the measures of the angles.

Explanation:

A quadrilateral is a parallelogram if and only if both pairs of opposite sides are equal in length and both pairs of opposite angles are congruent. To find the values of x and y that make the quadrilateral a parallelogram, we need to compare the lengths of the sides and the measures of the angles.

For example, if we have a quadrilateral with sides x, y, z, and w, we can check if it is a parallelogram by comparing x and z and y and w. If x = z and y = w, then the quadrilateral is a parallelogram.

Similarly, we can check the angles by comparing the measures of opposite angles. If the measures of the opposite angles are equal, then the quadrilateral is a parallelogram.

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The values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].

In a parallelogram, opposite angles are congruent. Therefore, if one angle measures [tex]\(66^\circ\)[/tex], its opposite angle must also measure [tex]\(66^\circ\).[/tex] Similarly, if another angle measures [tex]\(114^\circ\)[/tex], its opposite angle must also measure [tex]\(114^\circ\)[/tex].

Let's denote the measures of the angles as follows:

- Angle opposite to x is [tex]\(114^\circ\)[/tex]

- Angle opposite to y is [tex]\(66^\circ\)[/tex]

Since the opposite angles are congruent, we have:

[tex]\[ x = 114^\circ \]\[ y = 66^\circ \][/tex]

Therefore, the values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].

Explanation for #4-8

Answers

Answer:

Sorry I can't read it :(

Let f(x) = 2x + 4 and g(x) = 6x + 5. Find f.g.

Answers

Step-by-step explanation:

To find fg(x), you first open up the g.

This will make f(6x+5). How you substitute 6x + 5 for the x in the f.

This means you get 2(6x+5)+4

Which equals 12x+14

in the diagram above​

Answers

Answer:

40°

Step-by-step explanation:

We have parallel lines.

Angles 1 and 2 are alternate angles.

With parallel lines, alternate angles are congruent.

Therefore

[tex]m\angle1=m\angle2[/tex]

[tex]m\angle1=2x+20,\ m\angle2=3x+10\\\\2x+20=3x+10\qquad\text{subtract 20 from both sides}\\\\2x+20-20=3x+10-20\\\\2x=3x-10\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\2x-3x=3x-3x-10\\\\-x=-10\qquad\text{change the signs}\\\\x=10\\\\m\angle1=2(10)+20=20+20=40[/tex]

which inequality represents the graph below s 75

Answers

Answer:

Top Left

Step-by-step explanation:

Shaded circle means it will be Greater than or equal to or Less then or equal to. The answwers are less that or equal to 75 so s is less than or equal to 75

Answer:

It is s less than and equal to 75

Step-by-step explanation:

I say that because on 75 ther is a full circled dot instead of open dot.

In one hour miles ran 16 1/4 miles. How far could miles run in 2 1/2 hours?

Answers

Answer:

40.625 miles covered in 2.5 hours

Step-by-step explanation:

Given that [tex]16 \frac{1}{4} [/tex]

miles was ran in one hour, then to find miles run in 2.5 hours, we just have to multiply:

[tex]16 \frac{1}{4} [/tex]

by [tex]2 \frac{1}{2} [/tex]

This means that miles run in 2½ hours

[tex] = 16 \frac{1}{4} \times 2 \frac{1}{2} [/tex]

[tex] = \frac{65}{4} \times \frac{5}{2} [/tex]

[tex] = \frac{325}{8} [/tex]

[tex] = 40 \frac{5}{8} = 40.625[/tex]

Therefore 40.625 miles will be run in 2.5 hours.

what is the value of the expression 2 -12

Answers

Answer:

-10

Step-by-step explanation:

2-12 =

-12+2 = -10

Fine the value of x in the triangle.

A.) 84

B,) 87

C.) 93

D.) 115

Answers

Answer:

The correct answer is B. 87°

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°,

therefore, we have:

∠x + 28 + 65 = 180

∠x = 180 - 65 -28

∠x = 180 - 93

∠x = 87°

The correct answer is B. 87°

help, please! Thankyou!!!!

Answers

Answer: C

Step-by-step explanation: simply apply the distributive property to each half of the expression to be left with terms that can be combined.

(8x + 16y)/2 = 4x + 8y

4(x - y) = 4x - 4y

(4x + 8y) + (4x - 4y) = 4x + 4x + 8y - 4y

= 8x + 4y => C

Answer:

[tex]\frac{8x+16y}{2}+4(x-y)=\frac{2*4x+2*8y}{2}+4*x-4*y\\\\=\frac{2*(4x+8y)}{2}+4x-4y\\\\=4x+8y+4x-4y=8x+4y[/tex]

Step-by-step explanation:

PLEASE HELPPPPPP! WILL GIVE BRAINLIEST!!!!
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).

What is the equation of g(x)?

g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10

Answers

Answer:

[tex]g(x) = 5^{x} -10[/tex]

Step-by-step explanation:

See the attached figure which represents the problem.

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

The given function : [tex]f(x) = 5^{x}[/tex]

As shown on the attached graph the function g(x) is below f(x)

Which mean f(x) is shifted down.

by comparing two points with the same x-coordinate like (1,5) and (1,-5)

So, the difference will be = 5 - (-5) = 10

by applying the second rule and substitute with a = 10

g(x) = f(x) - 10

[tex]g(x) = 5^{x} -10[/tex]

Answer:

D option

Step-by-step explanation:

Suppose the bank sent mr gomez a notice whenever the amount in his account dropped to 15 or less how would the graph in the example change?

Answers

Final answer:

A graph tracking Mr. Gomez's account balance over time would include a horizontal line indicating the $15 threshold for bank notices. Payments or withdrawals dropping the balance to this level would be highlighted, showing when notices are sent.

Explanation:

Suppose the bank sent Mr. Gomez a notice whenever the amount in his account dropped to $15 or less. To visualize how the graph in the example would change with this information, first, we should understand that the account's balance is being tracked over time. Typically, a graph representing an account balance over time would have time on the horizontal axis and the account balance on the vertical axis.

If a notice is sent whenever the account drops to $15 or less, this adds a conditional behavior to the graph.

Specifically, there would be a horizontal line at the $15 mark indicating this threshold. When Mr. Gomez makes payments or withdrawals that drop the account balance to this level or below, it could be highlighted or represented differently (using a different color or pattern) on the graph to indicate when the bank sent a notice. Therefore, the primary change to the graph is the visual representation of these notices being sent at or below the $15 mark.

Mr. Gomez will receive a notice from the bank whenever the amount in his checking account falls below $20.

The inequality is x < 20, which means that the amount in Mr. Gomez's account (represented by x) must be less than $20 for him to receive a notice from the bank.

The graph of the inequality is shaded to the left of 20 (shown by the open circle) because any number less than 20 satisfies the inequality.

Let x represent the amount in Mr. Gomez's checking account.

The bank sends a notice when the account drops below $20, so we can express this mathematically as x < 20.

Graph the inequality on a number line. Since 20 is not included in the solution, we use an open circle at 20.

Shade the region to the left of 20 because any number in that region is less than 20 and satisfies the inequality.

Question:-

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. For what amounts will Mr. Gomez receive a notice from the bank? Use words and symbols to represent the situation. Let x represent the amount in Mr. Gomez's account. When x is less than $20, the bank will send a notice. x<20 Graph the inequality to show all of the solutions.

Why is the graph in the example shaded to the left?

Solve the inequality 2/3x-1/6>1/2 Graph the solution on a number line.

Answers

Good evening

Answer:

x > 1

Step-by-step explanation:

 2/3x-1/6>1/2  if we multiply both sides by 6 we will get

4x - 1 > 3 ⇔ 4x > 4 ⇔ x > 1

look at the photo below for the graph.

:)

x>1 is the correct answer
bc if you multiply both sides by 6 u would get the answer

Dilation D Subscript V, two-fifths was performed on a rectangle. How does the image relate to the pre-image? Select three options. The image is a reduction because 0 < n < 1. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. The angles of the image are two-fifths the size of the angles of the pre-image. The center of dilation is at point Q. The base of the image is two-fifths the size of the base of the pre-image.

Answers

Answer:

The selected options:  1 , 2 and 5

Step-by-step explanation:

Dilation 2/5  was done on a rectangle, and the center of dilation is V

We will check which of the options is true:

Option 1: The image is a reduction because 0 < n < 1  (True)

Because 2/5 = 0.4 < 1, so, the image will be smaller than the pre-image.

Option 2: The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.   (True)

Because pre-image and image are similar so their sides will be proportional, so the pre-image is 2/5 of the image.

Option 3: The angles of the image are two-fifths the size of the angles of the pre-image.  (Wrong)

Because the angles of similar rectangles are congruent not proportional.

Option 4: The center of dilation is at point Q.   (Wrong)

Because the center of dilation is V.

Option 5: The base of the image is two-fifths the size of the base of the pre-image.    (True) same explanation of option 2

Answer:

ITS A,B, AND E

Step-by-step explanation:

SUN GOT IT RIGHT ON EDGE

PLEASEEEE help with #7

Answers

Answer:

The answer is B ⅚ because there's only one out of 6 chance that the spinner will land on 6.

what is the slope of the line that passes through the points (-10,0) and (-13,3)?

Answers

Answer:

3/-3 basically -1

Step-by-step explanation:

do the y2-y1 / x2-1 formula and put the coordinates in and that is:

3-0 / -13- -10

or

3/-3

or -1

BTW: if the numerator and denominator are both negative,

Answer:

Step-by-step explanation:

(-10,0) and (-13,3)

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

y2 = 3, y1 = 0, x2 = -13, x1 = -10

: m = (3 - 0)/(-13 + 10)

m = 3/-3

m = -1

Slope m = -1

You earn $35 for washing 7 cars. How much do you earn from washing 4 cars?

Answers

Answer:20$

Step-by-step explanation:

Answer:

You earn $20.

Step-by-step explanation:

35 divided by 7 is 5.

5 times 4 is 20.

Prove using good format: log(nb)x=(log(b)x)/(1+log(b)n)

Answers

Answer:

[tex]{{$log_{b} \left(x\right)$}}\div( 1 + {{log_{b} \left(n\right)}})[/tex]  =  [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex]

[tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex] =  [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(nb\right)}})[/tex]   =   [tex]{{$log_{nb} \left(x\right)$}}[/tex]

Step-by-step explanation:

i) [tex]$\log_{nb} x[/tex]   =  [tex]{{$log_{b} \left(x\right)$}}\div( 1 + {{log_{b} \left(n\right)}})[/tex]  =  [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex]

ii) therefore simplifying i) we get

    [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(b\right)}} + {{log_{b} \left(n\right)}})[/tex] =  [tex]{{$log_{b} \left(x\right)$}}\div( {{log_{b} \left(nb\right)}})[/tex]   =   [tex]{{$log_{nb} \left(x\right)$}}[/tex]

iii) Hence the equation is proved.

The table below shows selected points from a function.

Fist section box answer choice: Constant, not Constant
second section box answer choice: linear, non-linear

Answers

The rate change of interval for the given table is Constant , so the function a linear function.

Step-by-step explanation:

A linear function is defined as a function which yields a line in a graph and the rate of change(constant) is called as slope.

Since the rate is constant, then function will result in a straight line.

From the given table the slope m=1 and it changes constantly.

The linear equation formula is y=mx+c.

where m is the slope and c is the y-intercept.

The linear equation for the given table is y=x+1.

The rate change of interval for the given table is Constant , so the function a linear function.

If the graph for a function has any shapes other than a straight line then it doesn't have a constant slope and it will be a non-linear function.

(-6+7) - (-4x - 2) ?

Answers

the answer to your question is 7

Answer:

4x + 3

Step-by-step explanation:

(-6 + 7) - ( -4x - 2)

1 - ( -4x -2 )

distribute the negative sign to the parenthesis

( remember a negative plus a negative equals a positive )

1 + (4x + 2)

Answer: 4x + 3

Ed Employee has weekly earnings of $544.00, and he claims 2 exemptions. How much tax is withheld?
$19.81
$17.56
$18.73
$16.57

Answers

Answer:

17.56

Step-by-step explanation:

The amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02.  Option D is the right choice.

To calculate the amount of tax withheld, we need to determine the applicable tax rate based on the employee's weekly earnings and the number of exemptions claimed.

Given:

- Weekly earnings: $544.00

- Number of exemptions claimed: 2

First, let's find the applicable tax rate from the provided table based on the weekly earnings. The table provides tax rates for various income ranges.

Since the weekly earnings fall between $540 and $560, we can interpolate to find the tax rate corresponding to this range.

From the table:

- For earnings between $540 and $560, the tax rate is between $19.81 and $17.56.

Using linear interpolation:

[tex]\[ \text{Tax rate} = \$19.81 - \left( \frac{560 - 544}{560 - 540} \times (\$19.81 - \$17.56) \right) \]\[ = \$19.81 - \left( \frac{16}{20} \times ( \$19.81 - \$17.56 ) \right) \]\[ = \$19.81 - \left( \frac{4}{5} \times \$2.25 \right) \]\[ = \$19.81 - \$1.80 \]\[ = \$18.01 \][/tex]

Now, to find the tax withheld:

[tex]\[ \text{Tax withheld} = \text{Tax rate} \times \text{Number of exemptions} \]\[ = \$18.01 \times 2 \]\[ = \$36.02 \][/tex]

Therefore, the amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02.  Option D is the right choice.

Question:-

Ed Employee has weekly earnings of $544.00 and he claims 2 exemptions. How much tax is withheld?

A. $19.81

B. $17.56

C. $18.73

D. $36.02

A spinner has equally sized sections, of which are gray and of which are blue. The spinner is spun twice. What is the probability that the first spin lands on gray and the second spin lands on blue ?

Answers

Answer:

25%

Step-by-step explanation:

50% chance for spin one to be gray and 50% chance for spin two to be blue. Put them together for that order and you get 25%.

Answer:

Let's Take 8 sections and in which 6 are grey and 2 are blue.

The probability that the first spin lands on blue = 2/8 = ¼

The probability that the second spin lands on gray = 6/8 = ¾

 The probability that the first spin lands on blue and the second spin lands on gray is

(¼)(¾) = 3/16

These events are independent, so you can just multiply the probabilities

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