A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm designated twice as many associates as partners to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case,x, and the number partners assigned to the case, y.

what are the two equations in slope intercept form so i can graph them

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Answer:

n = 14

Step-by-step explanation:

(n + 6)4 = 5

1. multiply by 4

n + 6 = 20

2. substract 6

n = 14

The required value of n is 14 in the given sum.

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.

According to the given question, we can write the algebraic form would be as:

⇒ (n + 6)/4 = 5

Apply the cross-multiplication operation,

⇒ (n + 6) = 5 × 4

Apply the multiplication operation,

⇒ (n + 6) = 20

⇒ n = 20 - 6

Apply the subtraction operation,

⇒ n = 14

Therefore, the required value of n is 14.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer: x =  √9/8

answer is x = square root of 9/8

Step-by-step explanation:

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Answer:

The square root of a perfect square will always be a whole positive or negative number

Step-by-step explanation:

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

In order words, g(x) could be f(x) – 1.

The correct option is A

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

Answer:

350miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

What grade?

Answer:

$67

Step-by-step explanation:

4000 for 4% equal $160/year total in 5 year equal $4800

the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne

Answer:

The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.

This would cost 85% * 78.65.

However, they also have to pay a 20% tip of the meal cost.

This would cost 20% * 78.65.

Step-by-step explanation:

total Cost = (85% * 78.65) + (20% * 78.65)

= 105% * 78.65

= 1.05 * 78.65

= $82.58

Answer:

147 gallons

Step-by-step explanation:

21 miles x 7 gallons

Answer:

i think they both scored the same

Answer:

Colton did.

Step-by-step explanation:

Jack's score was 80%.

Colton got a score of 83.33...

I got Colton's score by solving 10/12.

Answer:

First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)

So we know that the two integers will be close to 8.48

Since they are consecutive, lets first test out 8 and 9

We multiply these two and get 72, which is the number we were looking for.

now we find their sum.

9 + 8 = 17

Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.

-9 + -8 = -9 - 8 = -17!

So, the answer you are looking for is E: -17

Answer:

1400< 350d (its less than or equal to, but i cant put the bar under.

Answer:

x>50

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

Given

- 2x > - 50

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < 25

Answer:

excuse me these words are some other language

Answer:

It's y= x-5

Step-by-step explanation:

Answer:

are you sure it is not 180? if it is it is 12.87

but if it is 238 it is 21 days or something close

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

Answer:

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

Step-by-step explanation:

[tex] x = t + 2 \\

\implies \: x - 2 = t....(1) \\

y = {t}^{2} ....(2) \\

plug \: t = x - 2 \: in \: equation \: (2) \\

y = {(x - 2)}^{2} \\

\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]

Answer:

50.265m^3

Step-by-step explanation:

because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d