Solve the given system by substitution.

Answer:

Step-by-step explanation:

step one:

given data

Bob's  monthly salary is $1510

tax= 6.45%

Required

The deduction and his take-home salary

Step two:

let us compute the deduction

=6.45/100*1510

=0.0645*1510

=$97.4

Let us compute his take home

=monthly salary- tax deduction

=$1510-$97.4

=$1412.6

Answer:

Depending on your question

Step-by-step explanation:

For example if its (4,-2) you go 4 up because it's positive and 2 down because its negative. After, you connect those two coordinates and get your FINAL answer after.

Answer:

|x - 42.80| = 12

Step-by-step explanation:

The absolute value |x - a| = b means either x - a = b or x - a = -b

Let x represent the amount of money in the afternoon after he has either paid her back or she has paid him.

Given that he has $42.80 in his wallet and he either borrowed $12 from his friend Rita or she borrowed $12 from him. Therefore:

x = 42.80 + 12; or x = 42.80 - 12

Hence:

x - 42.80 = 12; or x - 42.80 = -12

|x - 42.80| = 12

Answer:

The answer is simple it would be the 3rd one(2nd row to the left)

Answer:

not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.

Step-by-step explanation:

the slope is 1/4 while the y-intercept is -8 or (0,-8)

Answer: slope: 1/4

y-intercept: (0,-8)

Hope this helps and good luck :)

Step-by-step explanation:

Answer

Step-by-step explanation  find the roots of the equation by solving for x

Given :

A farmer has 300 feet of fence available to  enclose a 4500 square foot region in the  shape of adjoining squares, with sides of  length x and y.

The big square has sides of  length x and the small square has sides of   length y.

To Find :

The value of x and y.

Solution :

From attached figure perimeter is given by :

x + x + x + y + y + y + ( x-y ) = 300 ft

4x + 2y = 300

2x + y = 150  ...1)

Now, area is given by :

A = x² + y²

x² + y² = 4500  ...2)

Putting value of y in equation 2), we get :

[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]

y = 150 - ( 2× 60 )

y = 30 ft

Therefore, the value of x and y is 60 ft and 30 ft respectively.

Answer:

∠P

Step-by-step explanation:

∠P is between NP and PE

Answer:

2    4     6      8       10

1     2    3      4       5

Step-by-step explanation:So if it's filling up 2 gallons per minute then you would multiply  2x2=4 3x2=6 4x2=8 and 5x2=10. So you would multiply every minute by 2.

Answer:

B

Step-by-step explanation:

Answer: 18kg

Step-by-step explanation:

Mass is the amount of matter that a particular object has. First and foremost, we should note that a mass is not thesame as weight and that a mass is thesame everywhere.

In this scenario, since the mass of the object on Earth is 18kg, the mass of the same object on the Moon will slow be 18kg. The mass will not change.

Answer:

3 3/4 i think

Step-by-step explanation:

Answer:

2(+2)(+3)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{ \sf 2x (x+3)(x+2)}[/tex]

Step-by-step explanation:

[tex]\sf =2x^3+10x^2+12x\\\\Take \ 2x \ common\\\\=2x(x^2+5x+6)\\\\By \ mid-term \ break \ formula\\\\=2x(x^2+3x+2x+6)\\\\=2x[x(x+3)+2(x+3)]\\\\Take \ (x+3) \ common\\\\= 2x (x+3)(x+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

0.360

Step-by-Step Explanation:

The equation to find B is as follows:

B = R * (sy/sx)

All of those values are given to you in-question. It’s a matter of plugging in the material and following PEMDAS. For this, the equation becomes; 0.92 x (128.4/327.8), which pans out to be 0.360.

Hope this helped.  

Answer:

The sum of their measures is 180°

Step-by-step explanation:

In the case when the similar circles are intersected to each other having two diameters so the following conditions would be considered as true

1. The arcs that are opposite would be equal

2. The sum of adjacent arcs would be 180 degrees

3 And, the sum of all arcs would be 360 degrees

So according to the given situation, the third option is correct

And, the rest of the options are incorrect

Answer:

500 minutes or

8 hours and 20 minutes

Step-by-step explanation:

Answer:

In 37 years the population will be 125,012

Step-by-step explanation:

Giving the following information:

Initial population (PV)= 67,000

Growth rate (g)= 1.7%= 0.017

Number of years (n)= 37

First, we will establish the future value (FV) formula:

FV= PV*(1+i)^n

FV= 67,000*(1.017^n)

Now, for 37 years:

FV= 67,000*(1.017^37)

FV= 125,012

In 37 years the population will be 125,012

Answer:

3.70 The difference is 33.30

Step-by-step explanation:

Answer:

1 1/6

Step-by-step explanation:

Answer:

1 1/6

Step-by-step explanation:

have a good one

Sorry if I'm wrong

Answer:

D

Step-by-step explanation:

At least = Less than sign

At most = Greater than sign

Both include the -6 and 9. (Closed dots)

Answer:  x= -8  or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8      Subtract 8 from both sides to let the whole equation equal 0

            - 8     -8

2x^2 + 15x - 8 = 0      Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1.     16 times -1 is -16  and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0      Factor on the left side

2x ( x + 8)  -1 (x + 8) = 0     Now factor out x + 8

(x + 8) (2x -1) = 0            Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0        or   2x - 1 = 0  

  -8     -8                     +1  +1

   x = - 8                  2x  = 1

                                 x = 1/2

Answer:

1,2,4,8

Step-by-step explanation:

8/1=8

8/2=4

8/4=2

2 and 4

Factors are the numbers that can be multiplied together to equal 8, not including the number and/or 1. In this case, the only numbers are 2 and 4, because 2x4=8

Answer:

4

Step-by-step explanation:

Simplifying

5a + -4 = 2a + 8

Reorder the terms:

-4 + 5a = 2a + 8

Reorder the terms:

-4 + 5a = 8 + 2a

Solving

-4 + 5a = 8 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

-4 + 5a + -2a = 8 + 2a + -2a

Combine like terms: 5a + -2a = 3a

-4 + 3a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

-4 + 3a = 8 + 0

-4 + 3a = 8

Add '4' to each side of the equation.

-4 + 4 + 3a = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 3a = 8 + 4

3a = 8 + 4

Combine like terms: 8 + 4 = 12

3a = 12

Divide each side by '3'.

a = 4

Simplifying

a = 4

Answer:

x = ∞ infinite solutions or 0

HI = infinite solutions

ID = infinite solutions.

Step-by-step explanation:

Oh okay I got this now!

ID + HI = DH

ID + 2x - 4 = 4x + 10 (subtract 2x on both sides)

ID - 4 = 2x + 10 (add 4 on both sides)

ID = 2x + 14

So now ID + HI = DH

2x + 14 + 2x - 4 = 4x + 10 (simplify)

4x + 10 = 4x + 10 (subtract 10 on both sides)

4x = 4x (minus 4x on both sides)

0 = 0

I would plug in 0 as x.

Hope this helps!

Answer:

23.83......the 6 is greater than 5 so the 2 turns 3

Step-by step

Answer:

y = -1/2 x

Step-by-step explanation:

slope = Δy / Δx

= 4 - 1 / -8 - (-2)

= 3 / -6

m = - 1/2

y = mx + b

1 = (-1/2)(-2) + b

1 = 1 + b

b = 0

eqn of the line : y = -1/2 x

Answer:

I believe that the answer is 8 because you have 1 inch =1/8 inch since you need eight 1/8 inches to equal one whole inch, it should be 8 inches

Step-by-step explanation:

The scale factor of the drawing if the scale is 1 inch = 1/8 inch is

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given that,

Scale of a drawing is,

1 inch = 1/8 inch

That is, a drawing is drawn for which it is drawn 1/8 inch for actual dimension of 1 inch.

So, drawing is reduces by 1/8

So scale factor = 1/8

Hence the scale factor of the drawing is 1/8.

Learn more about Scale Drawings here :

https://brainly.com/question/17388747

#SPJ3

Answer:

8

Step-by-step explanation:

Plug in 3 for x and simplify

2(3)^2 - 10

18-10

=8

Answer: 8

Step-by-step explanation:

h(3) = 2x^2 - 10

h(3) = 2(3)^2 - 10

h(3) = 2(9) - 10

h(3) = 18 - 10

h(3) = 8

Answer: Exact Form:

m

=

31

12

Decimal Form:

m

=

2.58

¯

3

Mixed Number Form:

m

=

2

7

12

Step-by-step explanation: