The total amount of deductions from an employee’s gross pay is $83.20. if the gross pay is $378.18, what percent of their gross pay is being withheld? a. 21% b. 22% c. 23% d. 24% please select the best answer from the choices provided a b c d

Answer:

x = 7.5, x = -5

Step-by-step explanation:

1. Plug a(2), b(-5), and c(-75) into the qudratic formula:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{(-5)^{2}-4(2)(-75) } }{2(2)}[/tex]

2. Find the square:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25-4(2)(-75) } }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25+600} }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-25 }{4}[/tex]

3. Separate the solutions:

[tex]x_{1} = \frac{-(-5)+25}{4} , x_{2} =\frac{-(-5)-25}{4}[/tex]

4. Solve for both:

[tex]x_{1} =\frac{5+25}{4} \\\\x_{1} =\frac{30}{4} \\\\x_{1} =\frac{15}{2}\\\\x_{1} =7.5[/tex]

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

[tex]x_{2} =\frac{5-25}{4} \\\\x_{2} =\frac{-20}{4} \\\\x_{2} =-5[/tex]

In conclusion, the solutions are x = 7.5 and -5.

hope this helps!

Answer:

No

Step-by-step explanation:

Linear equations, when graphed, look like straight lines.

Examples include:

y= mx + b

y = 3

x + 2 = 0

y + 6 = 0

y = 7x +2

Answer:

total cost= 24.6

Step-by-step explanation:

12 ÷ 20 = 0.6 per straight line

arc 0.6 × 3/2 = 0.9

12 + 0.9 × 14

12 + 12.6 = 24.6

The required cost of the metal used in the pattern is £24.6.

Given that,
A different pattern is made using 20 straight lines and 14 arcs.
The straight lines and arcs are made from metal. 20 straight lines cost £12 cost of one straight line is cost one arc = 2 : 3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the cost of the total arcs be x,
As per the given condition,
The cost of the one straight line is 12/20 and cos if the one arc is x/14,
According to the question,
[12/20]/[x/14] = 2/3
12×14/20 = 2x / 3
x = £12.6
The total cost of a metal arc is £12.6
And the total cost of the metal line in the pattern is = £12.

Total cost of metal = 12 + 12.6 = £24.6

Thus, the required cost of the metal used in the pattern is £24.6.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ5

Answer:

4

Step-by-step explanation:

An object's radius is half of the object's diameter.

Solving for diameter

Solving for radius

d = r * 2

  = 2 * 2

  = 4

The diameter of Harry's table is 4 feet.

Answer:

Ava

Step-by-step explanation:

Ava's = 100/10 = 10

Ian's = 110/20 = 5.5

Answer:

10 hours = 60 mph

you will need to go 60 mph to make the trip 10 hours

explaination:

Multiplying the amount of hours and the mph, 12 times 50 is 600 miles.

10 times 60 is 600 miles. They both have the same answer, but 60 mph is the fastest. 60 mph is how fast you would need to go to make it in 10 hours.

I dont know if i explained it good.

When the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

The book says that it is best to cut bay shoots when they are 3.25 in long.

As it is given that the:

1 mm = 0.03937 in

To find how many millimeters long should the bay shoots be when Derek cuts them, we must convert 3.25 in to mm

From the 1 mm = 0.03937 in, we can find how many mm is there in 1 in;

[tex]\rm 1 \ in= \frac{1}{0.03937} \ mm[/tex]

To convert 3.25 in into mm, we must multiply it by 1/0.03937

= 3.25×(1/0.03937)

= 82.55 mm

Thus, when the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.

Learn more about the unit conversion here:

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Answer:

Reflected on the Y axis

Step-by-step explanation:

x axis is 0, while y axis is both 7 and -7.

Answer:

B

Step-by-step explanation:

-5 is less than -4 is true. it cannot be the first one because they are equal. It cannot be the third one because the absolute value of 5 (which is 5) is not greater than 7. And, it cannot be the last on because the absolute value of -5 (which is also 5) is not less than -4.

Answer:

ACUTE TRIANGLE

Step-by-step explanation:

If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.

Therefore, the triangle with sides 11, 9, and 7 is an acute triangle since 9² + 7² is greater than 11²

[tex] {9}^{2} \: + \: {7}^{2} > \: {11}^{2} \\ 130 > 121[/tex]

solution:

3x^2+9x-5

i hope this helps

:)

Answer:

[tex]\sf y' = \dfrac{x-7}{5}[/tex]

Explanation:

⇒ y = 5x + 7

⇒ 5x + 7 = y

⇒ 5x = y - 7

⇒ x = (y-7)/5

replace x with y

⇒ y' = (x-7)/5

Take this and solve for x

Interchange y and x

So

The inverse is

[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]

Answer:

Hey i believe this is the answer

Step-by-step explanation:

Take a look at the screenshot

Also Desmos graphing calculator is a big help :) It might make you a little more confident

We will see that the fourth statement:

"-0.3*|3 + 8x| = 0.9 has no solutions."

Is the true statement.

Here we need to see which statement regarding absolute value equations is true.

Here you can see that the fourth statement is:

-0.3*|3 + 8x| = 0.9   has no solutions.

Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.

There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.

If you want to learn more about absolute values, you can read:

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Answer:

14

Step-by-step explanation:

using the formula:

(theta/360 pi r^2)-(1/2ab(the radius)sin theta)

theta is obtained by multiplying 1/4 and 360 therfore theta is 90°

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

17x + 10x -5 +  50 = 180

Combine like terms

27x + 45 = 180

To find the valu of x, we have to isolate x. To isloate x

Step 1: Subtract 45 from both sides

           27x = 180 - 45

           27x = 135

Step 2: Divide both sides by 27

               x = 135/27

x = 5

Answer:

27 hours

Step-by-step explanation:

160.65 = 8.50x-68.85

x=27

Answer: 2500

Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.

Answer:

  (b)  commutative property

Step-by-step explanation:

The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.

The absolute value function represented by the graph is:

y = -3*|x|

So the correct option is B.

In the graph, we can see a "V" shape, which belongs to the absolute value functions, but this graph opens down, so our function will be something like:

y = -a*|x - b|

The value of b is the value of x where we have the vertex, in this case, is at x = 0, so b = 0

y = -a*|x|

To get the value of 1, we ise one of the points that we can see on the graph. For example, for x = 1, we have y = -3, replacing that we get:

-3 = -a*|1| = -a

3 = a

So we can conclude that our function is:

y = -3*|x|

So the correct option is B.

If you want to learn more about absolute value functions, you can read:

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Answer:

7

Step-by-step explanation:

I assume x with dash on top is mean

The sum of all x's is 175 and there are 25 x's.

To find the mean:

175/25 = 7

Answer:

[tex]\boxed{\sf x < -3\quad \mathrm{or}\quad \:x > -1}[/tex]

Step-by-step explanation:

[tex]\sf x^2+4x+3 > \:0[/tex]

In order to solve inequality, we need to factor the left hand side. we can use the transformation [tex]ax^2+bx+c=a(x-x_1)(x-x_2)[/tex] to factor quadratic polynomials. where  x(1) & x(2)  are the solutions of the quadratic equation  ax²+bx+c=0 .

[tex]\sf x^2+4x+3=0[/tex]

Quadratic formula:-

[tex]\boxed{\sf x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1\\b=4\\c=3[/tex]

[tex]\sf \cfrac{-4\pm \sqrt{4^2-4\times \:1\times \:3}}{2\times \:1}[/tex] ← Calculate

[tex]\sf \sqrt{4^2-4\times \:1\times \:3}=\boxed{2}[/tex]

[tex]\sf \cfrac{-4\pm \:2}{2\times \:1}[/tex]

Now, let's Separate the solutions,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1},\:x_2=\cfrac{-4-2}{2\times \:1}[/tex]

Do the calculations,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1}=\boxed{-1}[/tex]

[tex]\sf x_2=\cfrac{-4-2}{2\times \:1}=\boxed{-3}[/tex]

[tex]\boxed{\sf x < -1\quad \mathrm{or}\quad \:x > -3}[/tex]

Answer:

216 outcomes.

Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes

Step-by-step explanation:

circumference = 2 pi r = 2 r pi

= d pi

= 6 × 3.14 = 18.84

Answer:

c is 7

Step-by-step explanation:

becuase 4x4=16 then u divide 16\2=7

Answer:

[tex]\textsf{D.}\quad\dfrac{b}{\sqrt{a^2+b^2}}[/tex]

Step-by-step explanation:

Tan trig ratio

[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]

where:

Using the given information:

[tex]\implies x=\tan^{-1}\left(\dfrac{a}{b}\right)[/tex]

[tex]\implies \tan(x)=\tan\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)[/tex]

[tex]\implies \tan(x)=\left(\dfrac{a}{b}\right)[/tex]

Comparing this with the trig ratio, we can say that:

[tex]x[/tex] is the angle opposite side [tex]a[/tex]

Cos trig ratio

[tex]\cos(x)=\sf \dfrac{A}{H}[/tex]

where:

Therefore:

[tex]\implies \cos\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)=\cos(x)= \dfrac{b}{\sqrt{a^2+b^2}}[/tex]

Answer:

1.75

Step-by-step explanation: