A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 350x + 22,000, where x is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 410x+16,000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

Answer:

b= -2

Step-by-step explanation:

Answer:

b = -2

Step-by-step explanation:

The first thing we need to do to solve this equation is expand the brackets. To so this we need to multiply the outside term with each of the terms inside the bracket (distributive law).

This gives us:

3xb + 3x3 -4x-2 -4xb = 19

Which multiplies out to:

3b + 9 + 8 -4b = 19

Combine like terms:

-b +17 = 19

From here we move the 17 to the other side by subtracting 17 from both sides

-b +17 -17 = 19 - 17

-b = 2

Divide both sides by -1:

-b/-1 = 2/-1

Which gives us:

b = -2

Hope this helped!

Answer:

-15 degrees

Step-by-step explanation:

3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs

Answer:

16

Step-by-step explanation:

7x+14=6x+30

Move x into one side and whole numbers to the other.

Solve like linear equation.

7x+14=6x+30

7x-6x=30-14

x=16

Answer:

x = 16

Step-by-step explanation:

7(x+2)=6(x+5) multiply

7x + 14 = 6x + 30 add like terms

7x - 6x = 30 - 14

x = 16

Step-by-step explanation:

f(x) = (x-2)/(3x+3). Let y = f(x).

Then y = (x-2)/(3x+3).

y(3x+3) = x - 2

3xy + 3y = x - 2

3xy - x = -3y - 2

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

x = -(3y+2)/(3y-1)

Hence, the inverse of f(x) is -(3x+2)/(3x-1).

Answer:

[tex]x=15/2=7.5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]6x-4y=29[/tex]

And we want to find x when y is 4.

So, substitute y for 4:

[tex]6x-4(4)=29[/tex]

Multiply:

[tex]6x-16=29[/tex]

Add 16 to both sides:

[tex]6x=45[/tex]

Divide both sides by 6:

[tex]x=45/6[/tex]

Reduce by dividing both layers by 3:

[tex]x=15/2=7.5[/tex]

And this is our answer :)

Answer:

[tex]7.5 \: or \:7\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]6x- 4 y = 29\\x =?\\y =4[/tex]

Substitute 4 for y in the given equation ;

[tex]6x-4(4)=29\\6x -16=29[/tex]

Collect like terms

[tex]6x = 29+16[/tex]

Simplify

[tex]6x = 45[/tex]

Divide both sides of the equation by 6

[tex]\frac{6x}{6} = \frac{45}{6} \\\\x =\frac{15}{2} \:or \: 7.5 \: or \:7\frac{1}{2}[/tex]

Answer:

($) 60 is the profit per item when the selling price is reduced by 20%

Step-by-step explanation: 20% of 700 is 140.

The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)

Answer:

19 but if its is the joke version then 21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

No, 4 to 7 is not the same as 7 to 4.

Order is important when writing a ratio.

The ratio compares the first quantity to the second.

The ratio 4 to 7 means there are more of the second quantity, but 7 to 4 means there are more of the first.

Step-by-step explanation:

Answer: Rotation

Step-by-step explanation:

From the figure , we can observe that both figure A and b are absolutely congruent.

To translate a figure to make congruent images , we use rigid motions (Translation, Reflection, Rotation)

It is Rotation because of we move Figure A 180 degrees clockwise about the fixed point O, we will get Figure B .

It cannot be reflection because both figures are not mirror images.

It cannot be translation because all points on Figure A is not moving , as point O remained at same position throughout this which is not possible in translation.

Answer:

-4/3

Step-by-step explanation:

Slope= - 5-3/4+2

Slope= - 8/6

Slope = - 4/3

answer:

0.75 i think i'm not really sure i hope it helps tho

Step-by-step explanation:

Answer:

x^2  +2xy + 2xz - y^2 + z^2

Step-by-step explanation:

(x+y+z) (x-y+z)

x^2 + xy + xz + xy - y^2 + yz + xz - yz + z^2

x^2 + xy + xy + xz + xz - y^2 + yz - yz + z^2

x^2  +2xy + 2xz - y^2 + z^2

Answer:

x²  +2xy + 2xz - y² + z²

Step-by-step explanation:

Answer:

From

m∠1 = m∠4  

m∠1 + m∠2 = m∠3 + m∠4

m∠2 = m∠3 [tex]{}[/tex]                                                Identity property

∠2 ≅ ∠3 [tex]{}[/tex]                                      [tex]{}[/tex]               Equal angles are congruent

Step-by-step explanation:

Given [tex]{}[/tex]                                                                            Reason

∠1 and ∠2 are supplementary    [tex]{}[/tex]             Given

Therefore;

m∠1 + m∠2 = 180°                              [tex]{}[/tex]       Supplementary ∠s sum up to 180°

∠3 and ∠4 are supplementary    [tex]{}[/tex]             Given

Therefore;

m∠3 + m∠4 = 180°                              [tex]{}[/tex]       Supplementary ∠s sum up to 180°

From which we have;

m∠1 + m∠2 = 180° = m∠3 + m∠4       [tex]{}[/tex]   [tex]{}[/tex]    Transitive property

m∠1 + m∠2 = m∠3 + m∠4

∠1 ≅ ∠4                          [tex]{}[/tex]                             Given

m∠1 = m∠4                                    [tex]{}[/tex]              Congruent ∠s have equal measure

Therefore;

m∠1 + m∠2 = m∠3 + m∠1              [tex]{}[/tex]         [tex]{}[/tex]   Transitive property

Therefore;

m∠1 + m∠2 - m∠1= m∠3 + m∠1 - m∠1       [tex]{}[/tex]Subtraction property

m∠1 - m∠1 + m∠2 = m∠3 + m∠1 - m∠1  [tex]{}[/tex]    

0 + m∠2 = m∠3 + 0                             [tex]{}[/tex]       Inverse property

Therefore;

m∠2 = m∠3 [tex]{}[/tex]                                                Identity property

∠2 ≅ ∠3 [tex]{}[/tex]                                      [tex]{}[/tex]               Equal angles are congruent.

Answer:

Answer:

30km/h.

Step-by-step explanation:

100m/12s = 0.1km/12s

There are 3600 seconds in an hour.

0.1km/12s = 30km/h.

Answer:

The nurse should use 200cc of the 10% saline solution in order to produce a 20% saline solution.

Step-by-step explanation:

to the given mix we add a quantity of a lower mix to generate another.

50cc at 60% + Xcc at 10% = (50 + X)cc at 20%

50 x 60% + X x 10% = (50 + X) x 20%

30 + 0.1X = 10 + 0.2X

30 - 10 = 0.2X - 0.1X

20 = 0.1X

20/0.1 = X

X = 200

Answer:

Yes

Step-by-step explanation:

It not a continues number like 1.33333... therefore it is rational. If it went on forever it would be concidered irrational.

Answer:

Yes. 5.67 is a rational no.

Step-by-step explanation:

5.67 is a terminating & non-repeating decimal . And we know that a terminating non-repeating (or repeating  i.e. the decimal would have a bar) decimal no. is a rational number.

5.67 can also be written as  [tex]\frac{567}{100}[/tex]   . A rational is always in the form of   [tex]\frac{p}{q}[/tex]  form where p & q are integers. Hence 5.67 is a rational number.

Answer:$ 44.70

Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687

Answer:

He has 45 USD left.

Step-by-step explanation:

250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.

Answer:1.5783 Miles

1.5783 Miles

Step-by-step explanation:

Multiply the value in Inch (in) by 0.0000157828 (the conversion factor). So,

100000 Inch (in) × 0.0000157828 = 1.57828 Mile.

Answer:

C is the answer

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{\huge{\boxed{497}}}}[/tex]

Step-by-step explanation:

=> [tex]\sf 249^2 - 248^2[/tex]

Using Formula [tex]\sf a^2 - b^2 = (a+b)(a-b)[/tex]

Where

a = 249

b = 248

=> [tex]\sf (249+248)(249-248)[/tex]

=> [tex]\sf (497)(1)[/tex]

=> 497

Answer:I think it y=73

Step-by-step explanation:

Answer: It is a polynomial, and the degree is 5.

I could be wrong on this but, i'm trying

Step-by-step explanation:

Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial. Also, all exponents have to be positive in a polynomial. Another rule of thumb is if there are any variables in the denominator of a fraction then the algebraic expression isn’t a polynomial.Note that this doesn’t mean that radicals and fractions aren’t allowed in polynomials. They just can’t involve the variables.

The degree is 5 (since the largest exponent is 5)

Examples of Non- Polynomials

Example Polynomial Explanation

5x^-2 +1 Not a polynomial because a term has a negative exponent

3x^½ +2 Not a polynomial because a term has a fraction exponent

(5x +1) ÷ (3x) Not a polynomial because of the division

Answer:

A. Multiply the coefficients, Add the exponents

Step-by-step explanation:

To multiply monomials, multiply the coefficients, and add the exponents of the same variable.

Answer: A. Multiply the coefficients, Add the exponents

Answer:

a- multiply the coefficients, add the exponets.

Step-by-step explanation:

i already did it!

Answer:

B. 57.8

Step-by-step explanation:

Changing 46% to a decimal it would be 0.46

125.7 * 0.46 = ?

125.7 * 0.46 = 57.822

57.822 rounds to 57.8 which is answer B.

Answer:

It's 57.823

Step-by-step explanation:

I looked it up lol

Answer:

176.58 m/s

Step-by-step explanation:

assume that the acceleration due to gravity, g = 9.81 m/s²

I also assume we neglect air resistance (hence we assume no terminal velocity)

recall that one of the equations of motions can be expressed as

v = u + at, where

u = initial velocity = 0 (because it says you started from rest)

v = final velocity (we are asked to find this)

a = acceleration due to gravity = 9.81 m/s²

t = time = given as 18s

simply substitute the above into the equation.

v = 0 + (9.81)(18)

v = 176.58 m/s

Step-by-step explanation:

let the odd integers be a, a+2.

a+2=8+3a

collect like term

a-3a=8-2

-2a=6

a=-3

so the integers are -3, -1

Answer:

it matters what word came first

Step-by-step explanation:

The order of the items in a ratio is very important, and must be respected; whichever word came first in the ratio (when expressed in words), its number must come first in the ratio.

4:3. The order of numbers in a ratio is important. ...

numerator / denominator. A fraction is another way of expressing one number divided by another. ...

24 / 56 = 0.42857.

i don't speak russian bro

Answer:10,500

Step-by-step explanation:

10,000*5%=500

Answer:

Answer: The question is a multiple choice so it's A and C:

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.