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

I need to find the x pls help and show work

Answers

Answer:

Start giving more points

Step-by-step explanation:

plus i needed the points

Answer:

x=143

Step-by-step explanation:

deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143

What is the domain of the square root function graphed below?

Answers

Answer:

X is greater than or equal to 3

Step-by-step explanation:

As you Can See the graph Starts at (3, 1) and the point is filled in which mean it includes 3 the graph continues going there for the domain= x-axis is greater than or equal to 3

Answer:

i think its A or B but im not really sure,most likely A =w=

2. Refer to matrix B and identify the matrix element b11
-3
6
1/2

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the matrix is not given.

The general form of a matrix is:

[tex]b[m*n] =\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}........b{1n}}\\b_{21}&b_{22}&b_{23}........b{2n}\\b_{31}&b_{32}&b_{33}........b{3n}\\ \\ \\b_{m1}&b_{m2}&b_{m3}........b{mn}\end{array}\right][/tex]

Where m and n represent the [tex]number\ of\ rows\ and\ columns[/tex] respectively.

Notice the position of b11

This means that b11 is at the first column and first row.

Take for instance matrix b is:

[tex]b = \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

The element at the first row and first column is 1.

Hence

[tex]b_{11} = 1[/tex]

select each expression that is equivalent to 5(n + 4).
A. 5n + 4
B. 5n + 20
C. 15 + 5n + 5
D. 5(n + 3) + 5
E. 5n + 54

Answers

Answer:

B and C and D

Step-by-step explanation:

Answer:

The Answer is B. C. and D.

Step-by-step explanation:

convert to exponential form. PLLLEASEEEE HELP!!!!!!! thank you so so so much!!! *will give brainliest ofc*

Answers

Answer:

the answer is A!

Explanation:

here you go <3

Answer:

A

Step-by-step explanation:

I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?

Answers

Answer:

0,6

9,8

0,9

Step-by-step explanation:

I will give brainliest, you have to put these in the correct order (24 points)

Answers

Answer:

First i do not know sorry please help me

Step-by-step explanation:

Answer:

second to last first, and then the third second and first and then last There u go :^

Step-by-step explanation:

-2²-3(-2)+7

I think it’s 17 but idk

Answers

Answer:

9

−2^2−(3)(−2)+7

=−4−(3)(−2)+7

=−4−(−6)+7

=2+7

=9

Mazie bought a bike during a 20% off sale and saved $16. What was the original price?

Answers

Answer:

$80. Which means she spent $64 with the sale, but the original price is $80.

Step-by-step explanation:

16 is 20% of 80

Answer

The answer is $120.00

Options

What was the price of the bicycle when Mazie bought it?

$140.00

$149.80

$130.00

$120.00

Explanation

Multiply the price of the bike by the discount percentage

150 * 0.20 = 30

Subtract the number you just found from the original price

150 - 30 = 120

There is your answer

You could take a shortcut by doing the following

1 - 0.20 = 0.80

Then multiply the original value by the new percentage

150 * 0.80 = 120

Personally I like the first method because it makes more sense.

Define the term rational number and give at least one example.

Answers

Answer:

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero. Expressed as an equation, a rational number is a number. a/b, b≠0. where a and b are both integer

Step-by-step explanation:

All rational numbers are algebraic. ...

The quadratic surds (irrational roots of a quadratic polynomial ax2 + bx + c with integer coefficients a, b, and c) are algebraic numbers. ...

The constructible numbers are those numbers that can be constructed from a given unit length using straightedge and compass. ...

Answer:

A rational number can be divided by two integers

1.5~Is a rational number because it = 3/2~

~3 and 2 are both integers~

5x - (2x + 5)
170
please help.

Answers

Answer:

56.66666667??? i think

Step-by-step explanation:

Answer:

The simplified answer is -335x-850

So what do u think about the answer and will help u get got better

Answers

Answer:

what

Step-by-step explanation:

what are you asking

I am stuck on part b

Answers

Answer: answer is 3.

Step-by-step explanation:

Mean is the sum of all the numbers divided by how many numbers are being added.

Mean = (1 + 2 + 3 + 4 + 5)/5

= 15/5

= 3

Please help. If this isn't done by today i'm grounded :(

A _____ magnet can be made by rubbing a permanent magnet the same way
along an item. The alignment of atoms does not last long.
permanent
temporary
atomic
polar

Answers

Answer:

permeant

Step-by-step explanation:

Stroking with one pole of a permanent magnet works because it aligns the atoms in the nail to line up in the same polar direction, giving the nail a north and a south magnetic pole.

(8+k³-6k⁴)+(4-3k⁴+8k²)​

Answers

(8 + k³ - 6k⁴) + (4 - 3k⁴ + 8k²)

8 + k³ - 6k⁴ + 4 - 3k⁴ + 8k²

(8 + 4) + (8k²) + (k³) + (-6k⁴ -3k⁴)

(12) + (8k²) + (k³) + (-9k⁴)

12 + 8k² + k³ - 9k⁴

Write the following in point-slope form.

Answers

Answer:

[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]

Step-by-step explanation:

An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.

For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.

We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.  

[tex]y - y_1 = m(x - x_1)[/tex][tex]y - 8 = 5(x - (-1))[/tex] [tex]y-8=5(x+1)[/tex]

Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].

Hope this helped!

Divide 4 1/4 by 2. ​

Answers

i’m pretty sure it’s 2 1/8

what is the simplified fractional equivalent of the terminating decimal 0.32

Answers

Answer:

8/25

Step-by-step explanation:

Brainliest pls

Answer:

8/25

Step-by-step explanation:

A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour? ​

Answers

Answer:

a.20 minutes

b.3 tasks

Step-by-step explanation:

60 divided by 3 = 20

Omar goes to a restaurant with his family. The total cost of their food is $136. An 8% sales tax is applied to the cost of their food. His family also wants to leave an 18% tip, which is based on the pre-tax food cost. How much will the final restaurant bill be?

A, $146.88
B, $160.48
C, $171.36
D, $173.32​

Answers

Answer:

C. 171.36....... :)).......

A human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?

Answers

Answer:

0.3

Step-by-step explanation:

First you need to add 1/4 and 9/20, and you would get 7/10. That only leaves 3/10, which as a decimal is 0.3.

The decimal that represents the amount of a human bone that is living tissue is 0.3

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue.

First we need to add 1/4 and 9/20,

Thus we would get 7/10.

That only leaves 3/10, which as a decimal is 0.3.

The decimal that represents the amount of a human bone that is living tissue is 0.3

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

If 24 = 118, what is the measure of each of the other
angles?

Answers

Answer:

Step-by-step explanation:

Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.

Since, m∠2 = m∠4 = 118° [Given]

m∠2 = m∠6 = 118° [Corresponding angles]

m∠4 = m∠8 = 118° [Corresponding angles]

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 118° = 62°

m∠1 = m∠5 = 62° [Corresponding angles]

m∠3 = m∠1 = 62° [Corresponding angles]

m∠7 = m∠5 = 62° [Corresponding angles]

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. a. What would be the width and length of a scale drawing of Elena's bedroom?

Answers

Answer: Length = 10cm

Width = 6cm

Step-by-step explanation:

First and foremost, we should note that

1 meter = 100 cm.

Therefore,

Length = 5m = 500 cm

Breadth = 3m = 300 cm.

Since Elena wants to make a scale drawing of 1 to 50, then

Length = 500 cm / 50 = 10 cm

Breadth = 300 cm / 50 = 6 cm.

Therefore, the length of the scale drawing will be 10 cm and the width of the scale drawing will be 6cm.

Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices

Answers

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Make Sense and Persevere Paxton, a summer camp counselor, has a budget of $300 to spend on caps and T-shirts for a summer camp.
plz help this is due soon!!!

Answers

Answer:

9 shirts and 10 caps

Step-by-step explanation:

Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.

Given the point (1, 2) and a slope of 4, write the equation in point slope form.

Answers

This article is about the math term. For other uses, see Slope (disambiguation).

For the grade (incline or gradient or pitch or slope) of any physical feature, see Grade (slope).

Slope: {\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}{\displaystyle m=\left({\frac {\Delta y}{\Delta x}}\right)=\tan(\theta )}

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

A line is increasing if it goes up from left to right. The slope is positive, i.e. {\displaystyle m>0}m>0.

A line is decreasing if it goes down from left to right. The slope is negative, i.e. {\displaystyle m<0}m<0.

If a line is horizontal the slope is zero. This is a constant function.

If a line is vertical the slope is undefined (see below).

The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances, where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line.

In mathematical language, the slope m of the line is

{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}m=\frac{y_2-y_1}{x_2-x_1}.

The concept of slope applies directly to grades or gradients in geography and civil engineering. Through trigonometry, the slope m of a line is related to its angle of incline θ by the tangent function

{\displaystyle m=\tan(\theta )}m = \tan (\theta)

Thus, a 45° rising line has a slope of +1 and a 45° falling line has a slope of −1.

850 projects were entered in the science fair. If 86% of the projects did not receive a ribbon, then how many student projects did receive a ribbon?​

Answers

Answer:

731 of the projects received a ribbon.

Step-by-step explanation:

850 x 0.86 = 731

Hope this helps!

a student concluded that the solution to the equation startroot 2x+1 endroot +3=0 is x=4 do you agree? explain why or why not.

Answers

Answer:

X=4

Step-by-step explanation:

Given the equation

√2x+1 + 3= 0

Subtract 3 from both sides

√2x+1 +3 +3 = 0-3

√2x1 = -3

Square both sides

{√2x+1)² =(-3)²

2x+1 =9

2x= 9-1

2x = 8

x = 8/2

x = 4

Hence I agree that the solution is x = 4 based on the explanation above

Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?

Answers

she had 26 wrong answers

7. Simplify the expression.
3[(15 – 3)2 + 4

Answers

Answer:

84

Step-by-step explanation:

Answer:

If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.

Step-by-step explanation:

3 [ ( 15-3 ) 2 ] + 4

= 3 [ ( 12 ) 2 ] + 4

= 3 [ 24 ] + 4

= 69 + 4

= 73

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