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 $400 and the daily rate for each partner is $1000. The law firm assigned a total of 13 lawyers to the case and was able to charge the client $8800 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.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Variables:

  Associate:  a

  Partner:  p

Equations:

  400a + 1000p = 8800

  a + p = 13

Solve:

  a + p = 13

  a = 13 - p

  400a + 1000p = 8800    

  400(13 - p) + 1000p = 8800

  5200 - 400p + 1000p = 8800

  5200 + 600p = 8800

  5200 + 600p = 8800

  600p = 3600

   p = 6 partners

  a = 13 - p

  a = 13 - 6

  a = 7 associates

Answer 2

The required number of associates is 7 and the number of partners is 6.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of associated be x and the number of partners is y,
According to the question, x + y = 13
x = 13 - y    - - - -- - - - - (1)
400x + 1000y = 8800   - - - - - - - - - -- (2)
From equation 1
400 (13 - y) + 1000y = 8800
4(13 - y) + 10y = 88
52 - 4y  + 10y = 88
6y = 88 - 52
6y = 36
y = 6
Now, from equation 1
x = 13 - 6
x = 7

Thus, the required number of associates is 7 and the number of partners is 6.

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Related Questions

One evening, a restaurant served a total of 1/2 of a loaf of wheat bread and 7/8 of a loaf of white bread. How many loaves were served in all?

Answers

Answer:

[tex]\dfrac{11}{8}[/tex]

Step-by-step explanation:

A restaurant served a total of 1/2 of a loaf of wheat bread and 7/8 of a loaf of white bread.

We need to find how many loaves were served in all. It is equal to the sum of the fraction of 1/2 and 7/8.

Sum of these two fractions :

[tex]\dfrac{1}{2}+\dfrac{7}{8}\\\\=\dfrac{4+7}{8}\\\\=\dfrac{11}{8}[/tex]

So, a total of 11/8 were served in all.

y= -3x what is the slope and what is the y intercept

Answers

Answer:

The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

Step-by-step explanation:

Which figure is missing the pattern

Answers

Include more detail. What pattern?
What pattern? There is nothing, therefore I cannot answer.

Suppose that you have already been waiting for 1 hour for a taxi. What is the probability that one arrives within the next 10 minutes g

Answers

Answer:

1/6

Step-by-step explanation:

Given that the total number of time that you have been waiting is 1 hour

which is equivalent to 60minutes which is the sample space

and the sample size which is 10 minutes.

then the probability of a taxi arriving in 10minutes seeing that you have been waiting for over 60minutes is

Pr(taxi arrives in 10 min)= 10/60= 1/6

thus the probability is 1/6

kindly let me know if you need further clarifications to this

Regards.

1
Plot the image of point B under a dilation about point P with a scale factor of
1/2

Answers

Answer:

can you put the picture of the pre-image bc without it i cant answer

Step-by-step explanation:

Answer:

Where is the picture put a picture

Step-by-step explanation:

My son not understanding any of this. Can anyways help

Answers

Answer:

The answer here could possibly be D. (8×1/2)1/3

Step-by-step explanation:

Overall, what the associative property is is moving the parenthesis elsewhere.  You just group two different numbers of the equation.

The equation that makes the original equation much easier to evaluate is D. (8×1/2)1/3, since 8×1/2 is 4 and now you just multiply 4 with 1/3.

Laurel earns 1.8% interest each year on a special savings bond. If the bond is $750 hiw much interest will she earn by the end of the year?

Answers

Answer:

$13.5  

Step-by-step explanation:

Answer: 750 x 1.8% = 13.5  

Laurel will earn $13.5 of interest in one year.

HEEELPPPP 20 POINTS + BRAINLIEST EASY MATH HELP

Given the functions f(x) = 4x2 - 1, g(x) = x2 - 8x + 5, and h(x) = -3x2 - 12x + 1, rank them from least to greatest based on their axis of symmetry.
g(x), h(x), f(x)
f(x), h(x), g(x)
g(x), f(x), h(x)
h(x), f(x), g(x)

Answers

Answer:

whats the question??

Step-by-step explanation:

Answer:

h(x), f(x), g(x)

A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 10 ft away from the lampost

Answers

This question is not correctly written

Complete Question

A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?

Answer:

7.26ft/s

Step-by-step explanation:

A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?

Let x = distance of person to the tip of the lamp post

= 6/x = 11/d

Cross Multiply

6d = 11 x....... Equation 1

The constant rate of the person = 3.3 ft/s

= Distance of the person to the pole = Speed × time

= 3.3 × t

d = 3.3t

x = d - 3.3t

Substitute d - 3.3t for x in Equation 1

6d = 11x

6d = 11(d - 3.3t)

6d = 11d - 36.3t

36.3t = 11d - 6d

36.3t = 5d

d = 36.3/5

d = 7.26 ft/s

Multiply show your work

Answers

Answer:

multiply what

Step-by-step explanation:

What problem is it? There’s not picture

Find the greatest value of :

-2x²+14x-10

Answers

Answer:

300x

Step-by-step explanation:

2-2-2-2-2-2-2-2-2

Answer:

300x !

Step-by-step explanation:

Eastern Ice Company sells 10 pound blocks of ice in the shape shown. The volume of the block of ice is 375 Inches cubed. What is the height of the block of ice?
A block of ice has a length of 10 inches and a width of 7.5 inches.
Use the formula Height = StartFraction Volume Over length times width EndFraction, where l is the length of the prism, w is the width, V is the volume, and h is the height.
2.5 inches
4 inches
5 inches
7.5 inches

Answers

Answer:

2.5

Step-by-step explanation:

A block of ice has a length of 10 inches and a width of 7.5 inches. Therefore, the height of the ice is 5 inches.

How to find the volume of the cuboid?

Let the three dimensions(height, length, width) be x, y,z units respectively.

Then the volume of the cuboid is given as

[tex]V = x \times y \times z \: \rm unit^3[/tex]

Eastern Ice Company sells 10-pound blocks of ice in the shape shown. The volume of the block of ice is 375 inches cubed.

A block of ice has a length of 10 inches and a width of 7.5 inches.

Let z be the height of the ice.

Then the volume of the is given as

[tex]V = x \times y \times z \: \rm unit^3[/tex]

[tex]375 = 10 \times 7.5 \times z \: \rm unit^3\\\\z = 5[/tex]

Therefore, the height of the ice is 5 inches.

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If math is hard and you need help comment now.

Answers

Answer:

meeeeeeeee

Step-by-step explanation:

jhcsjhabnjdf

Answer:

Ana oop sksksk For sure math is the only subject I struggle in lol

Step-by-step explanation:

2 × 10-6 times what number is equal to 6 × 10-4

Answers

Answer:

-6

Step-by-step explanation:

Ms. Leaman spends $2.00 a day on her morning coffee. How much does she spend in one week? Draw a double number line.

Answers

Answer:

She spends $2 a day, and there are 7 days a week. So, you'd multiply the amount which is 2 by the 7 days.

The amount she spends in one week is $14! I don't know how to add a double number line, so you do that part!

Step-by-step explanation:

Good luck! <3


The length of a rectangle is 3 m more than 5 times the width. The perimeter is 126
m.
What is the length?

Answers

Answer:

53m

Step-by-step explanation:

Let x = the width

Let y = the length

5x + 3 = y

2x + 2y = 126

Plug in 5x + 3 for y in the second equation

2x + 2(5x + 3) = 126

Distribute the 2

2x + 10x + 6 = 126

Combine like terms

12x + 6 = 126

Subtract 6 from both sides

12x = 120

Divide both sides by 12

[tex] \frac{12x}{12} = \frac{120}{12} [/tex]

x = 10

Remember x = width. You are looking for length.

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

I'll try to give you brainliest if you get this right.

Answers

Answer:

I literally just finished that- It should be >

Step-by-step explanation:

I hope this helps. Plus look at the what its asking then look at 26.1 and i think you should see it.

3. A bowling alley charges $1.50 for bowing shoes and $3.75 for each game. Paul and
Brandon each have $15 to spend at the bowling alley.
a Paul brings his own bowling shoes. How many games can he bowi?
b. Brandon needs to pay for bowling shoes. How many games can he bowl? Round
your answer down to the nearest whole number.
c. Both Paul and Brandon decide to bowl the number of games that Brandon can
afford to bowl. Does Paul have enough money to buy a slice of pizza and a soda
that cost a total of $3.25? Explain your reasoning.

Answers

Answer:

A. Paul can bowl 4 games.

B. Brandon can bowl 3 games.

C. Yes, Paul can have a pizza and a soda. Paul, with his bowling shoes, can afford exactly four games. When playing three games, Paul has a remained of $3.75

Which model shows a ratio of 1 white to 2 blue?

3 blue squares and 6 white squares.
4 blue squares and 4 white squares.
4 blue squares and 4 white squares.
6 blue squares and 3 white squares.

Answers

Answer:

3 blue squares and 6 white squares

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

The answer is 3 to 6.

3 to 6 can be represented by 3 blue squares and 6 white squares.

Answer:

It is the last one. Hope this helps (:

Step-by-step explanation:

I need some help please and thank you

Answers

Answer:

its A

Step-by-step explanation:

Write the equation of the graph in its final position.
The graph of y = ex is translated 7 units to the right and then 5 units upward.

what did you guys get?

Answers

The new function after the transformation becomes as y = eˣ⁻⁷ + 5. The correct option is (d).

How to transform a graph of the function?

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is  f(x + a).

And, for up and down shift it is a + f(x) and a - f(x) respectively.

Given that,

The graph of y = eˣ is translated 7 units to the right and 5 units upward.

According to the rule of transformation for a graph, when a function is shifted righwards, it becomes as f(x - a) and when it is shifted upwards it becomes a + f(x).

Apply the above mentioned rule for the given function to obtain,

y = eˣ⁻⁷ + 5

Hence, the function resulting after being shifted 7 units rightwards and 5 units upwards is y = eˣ⁻⁷ + 5.

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A garden hose is leaking water. The graph shows how much water leaks over time.


What is the rate, in ounces per minute, that water is leaking from the garden hose?
A.36
B.6
C.4
D.12

Answers

Answer:

the answer is B

Step-by-step explanation:

because 12 divided by 2 equals 6

A student is asked to calculate the value of 133 using the identity (x + y)3 = x3 + 3x2y + 3xy3 + y3. The student's steps are shown below.

Step 1: 133 = (10 + 3)3

Step 2: = (10)3 + 3(10)2(3) + 3(10)(3)2 + (3)3

Step 3: = (1,000) + (180) + (270) + (27)

Step 4: = 1,477

The correct answer should be 2,197. In which step did the student make his first error?

Answers

Answer:

Step 1.

Step-by-step explanation:

You can't multiply sum of 2 random digits to the power of 3.

A shipment of 8 parrots from Brazil includes 2 parrots with a potentially fatal disease. As usual, the U. S. Customs Office at the shipment's point of entry randomly samples 4 parrots and tests them for disease. What is the probability that the first three parrots selected are healthy

Answers

Answer:

5 / 14

Step-by-step explanation:

Given that:

Number of parrots shipped = 8

Number of defective parrots = 2

Number of Random samples tested = 4

Number of healthy parrots = 8 - 2 = 6

Probability that first 3 parrots are healthy:

P(1st parrot) * p(2nd parrot) + p(3rd parrot)

P = (number of required outcomes / number of total possible)

USing sampling without replacement :

P(1st parrot healthy ) = 6/ 8 = 3/4

P(2nd parrot healthy) = 5 / 7

P(3rd parrot healthy) = 4 / 6 = 2/3

P(first 3 parrots being healthy) :

(3/4) * (5/7) * (2/3) = 30/84 = 5 / 14

Tell me what 86 divided by 1204 = ?

Answers

Answer:

14

Step-by-step explanation:

1204/86 (divide by 2)

602/43 ( divide by 43)

14

Liza needs help to solve this linear equation.

4(x – 5) + 2x = 9x – 2(4 + 2x)

She has completed two steps, but now she’s stuck. Examine her work.

1. 4x - 20 + 2x = 9x - 8 - 4x

2. 6x - 20 = 5x - 8

What could be the next step? Select all that apply.
Add 8 to both sides.
Add 5x to both sides.
Subtract 6x from both sides.
Subtract 20 from both sides.
Divide both sides by –8.
Divide both sides by –20.

Answers

Answer: It is A and C:

A: Add 8 to both sides

C: Subtract 6x from both sides

Answer:

this would be your answer

Step-by-step explanation:

plz help tytytt very muchhhh:)))​

Answers

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

In all of these I just plugged in for x

Checking choice (1):

[tex]2x+1>15\\2(9)+1>15\\18+1 >15\\19>15[/tex]

This is true so it's not the right answer.

________________________________________________________

Checking choice (2):

[tex]2x+1>15\\2(7)+1>15\\14+1>15\\15>15[/tex]

This is false so this is the answer.

But we'll just check the others just in case.

_________________________________________________________

Checking choice (3):

[tex]2x+1>15\\2(10)+1>15\\20+1>15\\21>15[/tex]

This is true so it can't be the answer.

_________________________________________________________

Checking choice (4):

[tex]2x+1>15\\2(15)+1>15\\30+1>15\\31>15[/tex]

This is true so it can't be the answer.

_________________________________________________________

Now we found out that the answer is Choice 2.

Solve the following equation step by step and justify your steps when using an exponential property.

Answers

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

:)

which ordered pair could ba added to this function​

Answers

Answer:

(1,7)

Step-by-step explanation:

in order for something to be a function, each x value can only have one y value (vertical line test). because all of the other answers use x values that were previously assigned a y value, (1,7) is the only one that works.

Denise is 4 years younger than Alma. Misty
is three times as old as Alma. All together,
they have an age of 41. How old is Misty?

Answers

Answer:

Misty is 27

Step-by-step explanation:

27÷3=9

Alma is 9

9-4=5

Denise is 5

27+9+5=41

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