Mr. Benson’s gross pay is $789.18. The amount of social security deducted is 6.2% of gross pay. How much of his gross pay will be deducted for the social security tax?

Answer:

7

Step-by-step explanation:

7x-6=43

    +6  +6

7x=49

/7   /7

x=7

Answer: x=7

is the answer

4. If x = y + 3, then in the second equation you can write

-3 (y + 3) + 3y = 6

Expanding and simplifying gives

-3y - 9 + 3y = 6

-9 = 6

but this is clearly not true, so this system as no solution.

5. Solve the first equation for x :

x + 2y = 4   ===>   x = -2y + 4

Substitute into the other equation:

2 (-2y + 4) - 3y = 1

-4y + 8 - 3y = 1

-7y = -7

y = 1

Solve for x :

x = -2•1 + 4

x = -2 + 4

x = 2

6. Solve the first equation for y :

2x - y = 6   ===>   y = 2x - 6

Substitute into the other equation:

x + 2 (2x - 6) = -2

x + 4x - 12 = -2

5x = 10

x = 2

Solve for y :

y = 2•2 - 6

y = 4 - 6

y = -2

7. Solve either equation for x :

x + 4y = 10   ===>   x = -4y + 10

Substitute into the other equation:

(-4y + 10) - 2y = -8

-6y = -18

y = 3

Solve for x :

x = -4•3 + 10

x = -12 + 10

x = -2

8. Solve the first equation for y :

-2x + y = 1   ===>   y = 2x + 1

Substitute into the other equation:

4x - 2 (2x + 1) = 5

4x - 4x - 2 = 5

-2 = 5

This is false, so there is no solution.

9. Solve the second equation for x :

-x - 4y = -3   ===>   x = -4y + 3

Substitute into the other equation:

2 (-4y + 3) + 8y = 6

-8y + 6 + 8y = 6

0 = 0

This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.

Answer:

X = 126

Step-by-step explanation:

180 - 54 = 126

54+x=180

Answer:

50.37

Step-by-step explanation:

Answer:

1/4 Percent

Step-by-step explanation:

add all them up and youll get 8 the see the yellow takes up 1/4 percent of the numbers.

Answer:

Step-by-step explanation:

Dozen = 12

Use the ratio:

Find x:

Using quadratic function concepts, it is found that:

1) The equation is [tex]y = -0.08x^2 + 4x[/tex]

2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A quadratic equation has the following format:

[tex]y = ax^2 + bx + c[/tex]

In this problem:

Item 1:

The vertex is: [tex]V(x_v,y_v)[/tex], in which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, it is (25,50). Thus:

[tex]-\frac{b}{2a} = 25[/tex]

[tex]-b = 50a[/tex]

[tex]b = -50a[/tex]

[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]

[tex]-b^2 = 200a[/tex]

[tex]-(50a)^2 = 200a[/tex]

[tex]-2500a^2 - 200a = 0[/tex]

[tex]200a(-12.5a - 1) = 0[/tex]

Then, as [tex]a \neq 0[/tex]

[tex]a = -\frac{1}{12.5} = -0.08[/tex]

[tex]b = -50a = -50(-0.08) = 4[/tex]

Thus, the equation, in standard form, is:

[tex]y = -0.08x^2 + 4x[/tex]

Item 2:

The distances are the values of x for which:

[tex]y = 10[/tex]

Then

[tex]-0.08x^2 + 4x = 10[/tex]

[tex]-0.08x^2 + 4x - 10 = 0[/tex]

Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:

[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]  

The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A similar problem is given at https://brainly.com/question/24713268

Answer:

D.

Step-by-step explanation:

AB is NOT equal to BA in matrix multiplication.

It is not commutative.

Answer:

The answer is (C)

Step-by-step explanation:

More than means addition.

C is the correct option.

= (2x + 4) + 9 - 4y + 3x

= 2x + 4 + 9 - 4y + 3x

= 5x + 13 - 4y

= 5x - 4y + 13

Answer:

5x-4y+13 (c)

Step-by-step explanation:

9-(4y-3x)+(2x+4)

9-4y+3x+2x+4

3x+2x-4y+9+4

5x-4y+13

Answer:

[tex]-342^{-7}[/tex]

Step-by-step explanation:

If we represent 343 as a power of (-7)

we get [tex]-342^{-7}[/tex]

the equation will be this

= -347 × -347 × -347 × -347 × -347 × -347 × -347

Answer:

a) 168

b) 3

Step-by-step explanation:

a) 56÷4=14 14×12=168

b) 56÷4=14 56-14=42 42÷14=3

Answer:

the degree is 5

they are in decending order

Step-by-step explanation:

Answer:

in finity

Step-by-step explanation:

Both provide ATP molecules, but only fermentation occurs when oxygen is present.

okokoo

The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

Two or more expressions with an Equal sign is called as Equation.

The given system of linear equations are y = -6x+2 and -12x - 2y = -4

To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.

-12x - 2y = -4

substitute y = -6x + 2 from first equation

-12x - 2(-6x + 2) = -4

Distribute the negative sign

-12x + 12x - 4 = -4

0 = 0

The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.

Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Answer:

needs a image not much information working with

4 times 4 so your awnser is 12

Hope that helps :)

Answer:

16

Step-by-step explanation:

4+4+4+4

Answer: 118.2

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

took the test a while ago

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).

R(x, y )= (- y, x )

Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

Learn more about Coordinates:

https://brainly.com/question/23450276

#SPJ2

Answer:

7) No

8) Yes

Step-by-step explanation:

7) 15 + 2y = -12 - 4y when y = -0.5

15 + (2*-0.5) = -12 - (4*-0.5)

15 + -1 = -12 - (-2)

15 - 1 = -12 + 2

14 = -10

The numbers are different on both sides so -0.5 is not a solution

8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2

5 - 2( (3*2) + 5 ) = 3 - (10*2)

5 - 2( 6 + 5 ) = 3 - 20

5 - 2*11 = 3 - 20

5 - 22 = 3 - 20

-17 = -17

The numbers are similar on both sides so 2 is a solution

Answer: 1 go to 1 the 2 go to 5 the 3 go to 3 the 4 go to 2 the 5 go to 4

Step-by-step explanation: i hop this helps if not sorry :(

Answer:

Is there a picture i could go by to answer your question or is this is?

Answer:

-24

Step-by-step explanation:

[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100

Answer:

PLS HELP ME 7

Step-by-step explanation:

Answer:

y

[tex] y2 - 2y - 3[/tex]

[tex](y - 1)(y + 3) [/tex]

[tex](3y - 1)(3y + 3)[/tex]

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

Answer:

Below in bold.

Step-by-step explanation:

The 2 angles are equal so

8x - 8 = 5x + 25

3x = 33

x = 11.

m < B = 8(11) - 8 = 80 degrees.

Step-by-step explanation:

ajhai ans Pani chaiyo ki sabai ko ans pathau

Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.

a. x+60⁰+30⁰=180⁰

x+90⁰=180⁰

x=180⁰-90⁰

x=90⁰

b. x+3x+40⁰=180⁰

collect like terms

4x+40⁰=180⁰

4x=180⁰-40⁰

4x=140⁰

Divide both sides by 4

x=35⁰

c. x+(x+7)+(x+5)=180⁰

3x+12=180⁰

3x=180⁰-12

3x=168⁰

x=168⁰÷3

x=56⁰

d. 52+x+y=180⁰

keeping in mind, two sides of this triangle are equal...

180⁰-52⁰=128⁰

128⁰÷2=64⁰

x=64⁰

x=64⁰ y=64⁰

e. b+a+90⁰=180⁰

right angled triangle

180⁰-90⁰=90⁰

90⁰÷2=45⁰

b=45⁰

b=45⁰ a=45⁰

f. Angles on a straight line equals 180⁰

180⁰-130⁰=50⁰

x=50⁰

Back to the triangle, in which two are equal,

50⁰+x+y=180⁰

180⁰-50⁰=110⁰

110⁰÷2=55⁰

y=55⁰

y=55⁰ z=55⁰

To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.

Answer:

The percent gain would be 77952515`0%

Answer: D

Step-by-step explanation:

Answer:$22.50

Step-by-step explanation:

The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:

($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.

[Note how the units cancel, leaving just $]