1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariana [72]
2 years ago
9

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

ate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Mathematics
2 answers:
Mashcka [7]2 years ago
6 0

Answer:

p=a+4

Step-by-step explain:

Let a=the number of associates designated

let p=the number of partners designated

Write System of Equations:

700a+1700p=21200

ki77a [65]2 years ago
4 0

Let the daily rate of each associate, A = $700

And the daily rate of each partner, P = $1700

Let the total number of individuals involved in the case = NT

Total number of partners = NP

Total number of associates = NA

NP + NA = NT -------- (i)

From the question; NP - NA = 4 -------- (ii)

From (i), NA = NT - NP

Substitute in (ii) as: NP - (NT - NP) = 4

Therefore, 2NP - NT = 4.

And NP = 2 + (NT/2) --------- (iii)

Substitute for NP in (i) above: NT = NA + 2 + (NT/2)

Therefore, NT - (NT/2) - 2 = NA.

NA = (NT/2) - 2 ---------- (iv)

Finally, the total daily rate was $21200. This is a composite of the daily rate and numbers of both associates and partners.

Therefore, (A * NA) + (P * NP) = $21200 ---------- (v)

To find the individual number of associates and partners involved in this case, first substitute the values of NP and NA from (iii) and (iv) respectively into (v) such that the only variable in (v) is NT.

Solve for NT and then use the value to find NP and NA.

NT = 16

NP = 10

NA = 6

Notice that 10 - 6 = 4. Q.E.D

Hope this helps.

You might be interested in
How is this solved?​
Licemer1 [7]

Count the number of cubes in the first layer.

There is 16 cubes in the first layer.

Now divide the total number of cubes by the cubes per layer:

48 cubes / 16 cubes per layer = 3 layers.

4 0
3 years ago
5/7 = x/11 round your answer to the nearest tenth.
Scilla [17]

Answer:

7.9

Step-by-step explanation:

Multiply both sides of the equation by 11. This cancels out the fraction so 11 * 5/7 = x

lmk if I misunderstood the question or need to elaborate

6 0
3 years ago
Read 2 more answers
One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Ugo [173]

Answer:

about 11.5 cm.

Step-by-step explanation:

I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.

8^2+b^2=14^2 simplified: 64+b^2=196

Then, I subtracted 64 on both sides, so I would have "b" by itself.

b^2=132

Next, I found the square root of both b^2 and 132, so I would find the true value of "b."

b=11.4891252931

So, the measure of the other leg rounded to the nearest tenth is about 11.5.

3 0
2 years ago
How would you prove lines parallel using this equation?
borishaifa [10]
If  5 = 6 , than 4 =7

so, line L // m
8 0
3 years ago
What conclusion can be made ?
Zina [86]

Step-by-step explanation:

CD is congruent to EB

CD≈EB

5 0
3 years ago
Other questions:
  • I need to know what is the percent increase
    10·1 answer
  • The height of a parallelogram is 4.5 CM the base is twice the height what is the area
    11·1 answer
  • There are 25 people in a classroom. Each person shakes each other person's hand once
    5·1 answer
  • If (x-2)^2 =49 then x could be​
    7·1 answer
  • "The chance that a person selected at random has blue eyes is 16%. Two people are chosen at random (and are independent of each
    11·1 answer
  • Find the value of x. Round your answer to the nearest tenth. (One number after the decimal.)
    11·2 answers
  • These box plots show daily low temperatures for a sample of days in two
    6·1 answer
  • HELP ASAP!!! WILL MARK BRAINLIEST
    14·1 answer
  • Find the slope of the graph
    6·2 answers
  • Someone help will mark brainlist and its multiple choice
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!