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 $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?

Answers

Answer 1

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Answer 2

Answer:

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Step-by-step explanation:

Given,

Per day charge of each associate = $800

Per day charge of each partner = $1300

Total charged per day = $12300

Let,

x be the number of associates

y be the number of partners

According to given statement;

800x+1300y=12300        Eqn 1

y = x+3              Eqn 2

The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.

Keywords: linear equation, addition

Step-by-step explanation:


Related Questions

raul drove 80 miles.this represent 50% of the entire trip what is the total number of miles on raul trip​

Answers

Answer:

its 160 miles

can someone please help me it’s a quiz and idk what to do!!!! pls

Answers

Answer:

plot a point at (0,-8) and another one at (5,-7)

Step-by-step explanation:

connecting the dots would create the slope

Create a point at (0,-8) and (-7,5) then connect to create a slope

How to find the constant of y=3/5x

Answers

Combine 35 and x . Since the equation can be written in the form y=kx y = k x , y varies directly with x and k . The constant of variation, k , is 35 .

Answer:

3/5

Step-by-step explanation:

y=3/5x = 0                 x both sides by 5

5y-3x=0                     reorder terms (community property)

-3x+5y=0

3x-5y=0                                changes the signs when you do that

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Pythagorean Theorem:

25^2=24^2+x

625=576+x^2

49=x^2

x=sqrt49

x=7

Hope this helps!

Merry Christmas!

Answer:

By using the Pythagorean theorem we can solve this

The Pythagorean theorem states that [tex]c^2=a^2+b^2[/tex] where c is the hypotenuse (longest side of the right triangle) and a and b are the other 2 sides. LEts use x to represent the missing side

Therefore,

[tex]25^2=24^2+x^2[/tex]

[tex]625=576+x^2[/tex]

[tex]625-576=576-576+x^2[/tex]

[tex]49=x^2[/tex]

[tex]x=7[/tex]

Step-by-step explanation:

Juan needs to simplify the fraction LaTeX: \frac{32}{52}32 52. He will need to divide the numerator and the denominator by the greatest common factor. What is the greatest common factor of 32 and 52?

Answers

Answer:

4

Step-by-step explanation:

Given the expression, 32/52

Juan need to divide the numerator and the denominator by the greatest common factor

For 32;

32 = 8 * 4

For 53

52 = 13 * 4

Find the ratio

32/52 = (8*4)/(13*4)

32/52 = 8/13

Since 4 is common to both factors, Hence the greatest common factor is 4

Please answer asap take ur time


Maya is going to an amusement park. The price of admission into the park is

$10, and once she is inside the park, she will have to pay $2 for every ride she

rides on. How much money would Maya have to pay in total if she goes on 15

rides? How much would she have to pay if she goes on r rides?

Answers

total= 40, rides= 30

What is the perimeter of △JKL? 6 9.5 11.5 19

Answers

For perimeter, you just need to add up all the numbers!

Answer:

the awnser is 19

Step-by-step explanation:

i got it correct on edge2020

What is the solution of the system of equations?

Help

Answers

Answer:

(0, 5)

Step-by-step explanation:

Charlie, Henry, and Patrick went to the movies and each purchased 2
chocolate candy bars from concessions. Charlie ate
1/2 of a candy bar, Henry
ate 1 &
1/6 candy bars, and Patrick ate 1 & 3/4
candy bars.
How many candy bars did
the boys eat altogether? Select all the correct answers.
A. 3 & 5/12

B. 5 & 5/12

C. 41/12

D. 65/12

E. 2 & 5/12

Answers

Answer:

A

Step-by-step explanation:

[WORTH 100 WHOLE POINTS] !!

I need it soon!!

Answers

1. 1/5
2. 3/5
3. i do not understand
4. 1/2 (even chance)

Answer:

1. 1/5    2. 3/5       4. 1/2    I dont know what 3 is

Step-by-step explanation:

Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32F in Maine during the month of January is most likely true? Options: The probability is 100 | The probability is closer to 1 than to 0. The probability cannot be determined before Febuary The probability could be -1.

Answers

Answer:

can't help u..

Step-by-step explanation:

i am so sorry

xbxnxnxn

xnzjznzn

sjziaowoo1i3uo

PLZ MARK ME AS BRAINLIST

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita? |x – 42.80| = 12

Answers

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

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 ​ πr 2 h. Round your answer to three decimal places.

Answers

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

Differentiate the equation with respect to time t, such that

[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]

To differentiate the product,

Let r² = u, so that

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]

Then, using product rule

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]

Since [tex]u = r^{2}[/tex]

Then, [tex]\frac{du}{dr} = 2r[/tex]

Using the Chain's rule

[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]

∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]

Then,

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

Now,

From the question

[tex]\frac{dr}{dt} = 7 m/min[/tex]

[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]

At the instant when [tex]r = 99 m[/tex]

and [tex]V = 180 m^{3}[/tex]

We will determine the value of h, using

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]

[tex]180 \times 3 = 9801\pi h[/tex]

[tex]h =\frac{540}{9801\pi }[/tex]

[tex]h =\frac{20}{363\pi }[/tex]

Now, Putting the parameters into the equation

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]

[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]

[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]

[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]

[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]

[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]

[tex]\frac{dh}{dt} = 0.021 m/min[/tex]

Hence, the rate of change of the height is 0.021 meters per minute.

Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___

Thanks :)

Answers

Step-by-step explanation:

g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4

Answer:

[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]

Can someone please help with this question please I need help?!

Answers

Answer: B

Step-by-step explanation:

Each month, the person seems to grow taller. So, there IS a positive association between height and age.

I’m pretty sure the answer would be b! Good luck!! :3

Please help asap- will give brainliest:
See the image attached and choose ONE

Answers

Yellow is the correct answer, I think.
if u have desmos it will help a lot and i think it would be blue

There is a sale at your favorite clothing store. They have their jeans priced at $49.99 with a extra 20% off. How much will you pay for three pairs of jeans, not including tax? Exlpain how you got your answer.

Answers

Answer: You need to pay $119.98 for three pairs of jeans.

Step-by-step explanation:

Market price of 1 jeans = $49.99

Discount percent = 20% = 0.20

Market price for 3 jeans = 3 x ($49.99)

= $ 149.97

Discount price = 20% of (Market price for 3 jeans )

= .0.20 x ($149.97)

= $ 29.99

Price of 3 jeans after discount = (Market price for 3 jeans ) - ( Discount price)

= $ (149.97 - 29.99)

= $  119.98

Hence, you need to pay $119.98 for three pairs of jeans.

Joseph had 380 heartbeats in 4 minutes. How many did he have in 15 minutes? (Write a proportion)

Answers

1435

Step-by-step explanation:

1435 hope this helps

Emily used 27 centimeters of tape to wrap 3 presents. How much tape will Emily need in all if she has to wrap 5 presents? Assume the relationship is directly proportional.

? centimeters

Answers

Answer: 45 centimeters

Step-by-step explanation:

27 - 3

divide both by 3

9 - 1

multiply by 5

45 - 5

Answer:

45 Centimeters.

Step-by-step explanation:

27 / 3 = 9

9 x 5 = 45

a student purchased 7 binders for a total of $8.61. Write an equation that can be used to find the cost of each binder,n, in dollars. What is the cost ,in dollars, of each binder?

Answers

Answer:

$1.23

Step-by-step explanation:

divide 8.61 by 7 binders to get the final answer of $1.23

11) Stephanie makes $ 50 a week babysitting. She spends $ 25, saves $ 15, and uses the rest to pay off a $ 100 loan from her brother. After six weeks, how much has Stephanie spent, how much has she saved, and how much still owes her brother?

Answers

Answer:

She saved 90 dollars and she owes her brother 40 still.

Step-by-step explanation:

What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}

Answers

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

Which pair of triangles MUST be similar?



A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.

B. Triangles 1 and 2 each have a 40 degree angle.

C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.

D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.

Answers

Answer:

C

Step-by-step explanation:

The total measurement of a triangle is 180

Triangle 7 has a 40 degree angle and 35 degree angle.

40+35=75

180-75=105

Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8

Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep

Answers

Answer:

0.64, she spent 64% of her money.

Step-by-step explanation:

You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answers

Answer:

5,000

Step-by-step explanation:

no interest‍♀️

After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the bucket to start?

Answers

Answer:

8 liters

Step-by-step explanation:

because after pouring 2 liters bucket was full so we wiil minus 2 from 10

Answer:

8 + x = 10

x. = 10 - 8

x. = 2 liters

What is the product of 7/10 and 3 2/3?

1 3/5

1 13/15

2 17/30

3 7/15

Answers

It’s c just to let u know cause 3 is not 7/15

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.

Answers

Answer: See explanation

Step-by-step explanation:

Here is the complete question:

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.

A. Students: 72

Minimum of chaperones: 9

B. Students: 16

Minimum of chaperones: 2

C. Students: 60

Minimum of chaperones: 6

D. Students: 45

Minimum of chaperones: 5

E. Students: 40

Minimum of chaperones: 8

Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.

We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:

Students: 72

Minimum of chaperones: 9

This will be: 72/9 = 8

Therefore, this is correct.

B. Students: 16

Minimum of chaperones: 2

This will be: 16/2 = 8

This is correct

C. Students: 60

Minimum of chaperones: 6

This will be: = 60/6 = 10.

Therefore, this is wrong

D. Students: 45

Minimum of chaperones: 5

This will be 45/5 = 9

Therefore, this is wrong.

E. Students: 40

Minimum of chaperones: 8

This will be: 40/5 = 8.

Therefore, this is wrong.

Therefore, options A and B are correct.

PLZ HELP
Sales tax is 7%. If c represents the retail cost of an item, which of the following expressions represent(s) the total cost of the item?

0.93 c
c - 0.07 c
1.07 c
0.07 c
c + 0.07 c

Answers

Answer:

The total cost of an item can be calculated by adding the sales tax to the retail cost:

c + .07c

Step-by-step explanation:

Given that c represents the retail cost of an item.

Sales tax = 7%

                = 7/100

                 = 0.07

Total cost of an iten can be calculated by adding the sales tax to the retail cost.

i.e. c + .07c

Therefore, the total cost of an item can be calculated by adding the sales tax to the retail cost:

c + .07c

1. Solve the system of equations.
2y - 3z=0
x+3y = -4
3x + 4y = 3

Answers

Answer:

1. y = 3/2z

Step-by-step explanation:

1. ,2y-3z + 3z =0 + 3z ,2y=3z, 2y/2 =3z/2=3/2z

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