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

What is the constant of proportionality for y=4.7x?

Answers

Answer:

4.7

Step-by-step explanation:

Given equation y=4.7x

constants of proportionality = y/x

so, y/x = 4.7

therefore, answer is 4.7

What additional piece of information would prove DABD ≅ DCBD?

Answers

Answer:

∠BAD ≅ ∠BCD

Step-by-step explanation:

The complete equation is attached.

Two triangles are congruent to each other if all their three sides are equal to each other and all their three angles are equal to each other.

The angle side angle (ASA) congruence theorem states that two triangles are congruent if two angles of one triangle is equal to two angles of the other triangle and also if their included side are equal.

Since AB = BC, ∠ABD = ∠CBD. For ∠ABD ≅ ∠CBD based on ASA then ∠BAD ≅ ∠BCD

Given point P(9,-11), what are the coordinates of P' after a 180⁰ rotation?
(9,11)
(-9,11)
(-11,-9)
(11,9)

Answers

Answer:

-9,11

Step-by-step explanation:

The negative signs get flipped so if the number was positive it would become negative and vice versa.

Answer:

(-9,11)

Step-by-step explanation:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Which equations have the variable term in the equation -6 + 2x = 6x - 9 isolated to one side of the equals sign, and the constant isolated to the other side? Select all that apply, D-6 = 4x-9 O 3-4x=0 O4x = -3 O 3 = 4x O2= 6x-3​

Answers

Answer:

C, D

Step-by-step explanation:

25
Consider the function, f (x) = 2x – 1
Use the above function to complete the following table.
Х
f(x)
1
0
-1
2

Answers

Answer:

well it is 1 beacuse on a numberline you would nedd the opposite of that number

Step-by-step explanation:

If your friend's doctor wants her target heart rate range to be between 143 and 170, and her
average resting heart rate is 62, what is her age?

Answers

Answer:

a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm.

Step-by-step explanation:

so I'd say 21

How do I solve 8k-9(4K+4)

Answers

Answer:

-28k - 36

Step-by-step explanation:

8k - 9(4k+4)

distribute -9 into the ( )

8k - 36k -36

combine 8k and - 36k to get - 28k

-28k-36

hope this helps!!!

. What is the GCF of the expression: 28xy-14X

Answers

Answer:

14 x

Step-by-step explanation:

4x + 5 = 6x - 2 need help answering this

Answers

Answer:

[tex]x=\frac{7}{2}[/tex]

Step-by-step explanation:

Step-by-step on how to solve it is in the image below.

Hope this helps! :)

Answer:

hi here is answers

Step-by-step explanation:

Exact Form:  x = 7/2

Decimal Form: x = 3.5

Mixed Number Form x = 3 1/2

hope this helps, have a great day

Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3. B=\large(

Answers

Answer:

(0, 2)

Step-by-step explanation:

Given the following

coordinate A (-6, 5)

Coordinate C (4, 0)

Ratio is 2:3

Required

Coordinate of B

Using the midpoint formula expressed as;

M(X,Y) = [(ax1+bx2/a+b), ay1+by2/a+b]

x1 = -6, y1 = 5, x2 = 4 and y2 = 0

a = 2  b = 3

Get X;

X = ax1+bx2/a+b

X = 2(-6)+3(4)/2+3

X = -12+12/5

X = 0/5

X = 0

Get Y;

Y = ay1+by2/a+b

Y= 2(5)+3(0)/2+3

Y = 10/5

Y = 2

Hence the coordinate of B is at (0, 2)

Answer:

the answer is (-2,-3)

Step-by-step explanation:

i got it right




PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

A and C

Step-by-step explanation:

m+5n(9−p)−6−rsquar(2.718282)d

Distribute:

=m+(5n)(9)+(5n)(−p)+−6+−2.718282adqr2su

=m+45n+−5np+−6+−2.718282adqr2su

Answer:

=−2.718282adqr2su−5np+m+45n−6

Graph the line x+2y=12 on the axes provided.

Answers

Answer: x=2y=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the equation into mx+b format.

y=-1/2x + 6

Then, graph the line using the slope and y-intercept.

Collect like terms/equations
1. -3x+5-6x
2. 21+4a-13
3. 21+4a-13
4. 15-10b+6b=-5
5. -20=4c+30-2c

Answers

1. -3x and -6x
2. 21 and -13
3. 21 and -13
4. -10b and 6b, 15 and -5
5. -20 and 30, 4c and -2c
1. -9x +5
2. 8 +4a (Question 2 and 3 the same)
4. -4b= -20
5. -50= 2c

y=-2(x-4)^2-3 in standard form

Answers

4x+y=13 i hope it’s right

HELP ME PLEASE

The table below shows the number of each color marker Mr. Martinez has in his
bucket. If Mr. Martinez increases the amount of markers to 153, how many markers
can he expect to be blue?

Answers

Answer:

25

Step-by-step explanation:

What two things do you NEED to write an equation in point-slope form?

Answers

Answer:

a letter or a word of any kind

Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form

Step-by-step explanation:

Booker and Reginald both collected insects for a science exhibit-collection. The one hundred eighty-seven insects in Reginalds collection are thirty-seven more than twice the number in Bookers collection. How many insects are in Bookers collection!

Answers

Answer:

Insects in Bookers collection = 50 insects

Insects in Reginald collection = 137 insects

Step-by-step explanation:

Total insects collected = 187

Reginalds collection are thirty-seven more than twice the number in Bookers collection.

Let

Insects in Bookers collection = x

Insects in Reginald collection = 2x + 37

How many insects are in Bookers collection?

Total insects collected = Bookers collection + Reginald collection

187 = x + (2x + 37)

187 = x + 2x + 37

187 = 3x + 37

187 - 37 = 3x

150 = 3x

Divide both sides by 3

x = 150 / 3

= 50 insects

Insects in Bookers collection = x

= 50 insects

Insects in Reginald collection = 2x + 37

= 2(50) + 37

= 100 + 37

= 137 insects

Total = 50 + 137

= 187 insects

1/2 - x + 3/2 = x - 4

what is the solution for X in the equation?

Answers

Answer: x= 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

I need help with geometry and help learning it

Answers

Answer:

Option (2)

Step-by-step explanation:

HL theorem for congruence states that if hypotenuse and one leg of one right triangle are congruent to the corresponding sides of the of the right triangle, both the triangles will be congruent.

By this theorem,

ΔACB ≅ ΔFED

If AB ≅ DF [Hypotenuse]

AC ≅ EF [Leg]

By these properties,

AC = EF = 12

Or BC = DF = 28

Therefore, Option (2) will be the correct option.

PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST

Answers

Answer:

Hiii

Step-by-step explanation:

3. M=-3/4  B=4

6. M=-5/4  B=-2

What is the answer to 8.7x570.8

Answers

the answer is 4965.96
Answer:

4,965.96 :)

Explanation:

8.7 multiplied 570.8 times is equivalent to 4,965.96.

solve for x
1. 6
2. 4
3. -5
4.-10

Answers

The answer I think is 6

Samira buys a car the car loses 23% of its value in the first year. at the end of the first year her car is worth 6575.80 dollars how much did samira pay for her car?

Answers

Answer: Samira paid $8540 for her car.

Step-by-step explanation:

Let x = Amount paid by Samira for her car.

Given: Depreciation rate = 23%

Worth of car after one year = $ 6575.80

As per given,

x - 23 % of x = 6575.80

⇒ x - 0.23x = 6575.80

⇒ 0.77x= 6575.80

⇒ x= $8540   [Divide both sides by 0.77]

Hence, Samira paid $8540 for her car.

PLZ HELP! NO FAKE ANSWER PLEASE!!!!!! PLEASE AND THANK YOU MARRY CHRISTMAS!

Answers

Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

David is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual books. If each book costs the same amount, how much does each of the 3 books cost when purchased individually?

Answers

Answer:

Cost of each individual book = $10.5

Step-by-step explanation:

Given:

Cost of 3 book set = $24.81

Amount save = $6.69

Find:

Cost of each individual book

Computation:

Assume:

Cost of each individual book = a

Total cost = 3a

So,

Total cost = $24.81 + $6.69

Total cost = $31.5

So,

3a = $31.5

a = $10.5

Cost of each individual book = $10.5

triangle vertices for A(-3,6)B(-5,4)C(-1,1)​

Answers

Answer:

we can't graph for u on brainly sorry.

On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.

Which statement is true about this triangle?


BC=3 in.

BC=4 in.

BC=5 in.

The length of BC¯¯¯¯¯ cannot be measured.

Answers

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

Using a ruler draw line AB 4 inches  and label the end points A and BAt point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inchesMark that point C.Using the ruler, join point C and B and measure BC.

From calculation, length BC can be found by the formula;

[tex]BC=\sqrt{a^2+b^2-2*a*b*cosA}[/tex]------where a=b=4 in , cos A = cos 60°

[tex]BC=\sqrt{4^2+4^2-2*4*4*cos60}[/tex]

BC = 4 in

Answer:

bc = 4

Step-by-step explanation:

What is the original cost of a skateboard that was discounted by 35% and now sells for $92.95?

Answers

The original price was $152.23.

Answer:

The answer should be $143

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?

Answers

The question is incomplete, the complete question is;

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?

a. There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.

b. As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.

c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

d. The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.

Answer:

c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

Step-by-step explanation:

Though we can't see the scatter plot but it makes sense from option c that as the number of hours of studying increases, test scores increase.

That option even stated that the cluster of points increases from left to right. If the scatterplot has a cluster that increases from left to right, then it follows that the test scores actually increases positively with the number of study hours.

What is the y-intercept of the equation?

Answers

Answer:

Step-by-step explanation:

The above equation is of the form y=mx+c

c is the y intercept so c=2

The y intercept is 2
Because the actual equation is y=mx+b
B=2
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