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?

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.

Answer:

Step-by-step explanation:

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

c is the y intercept so c=2

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.

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

Answer:

25

Step-by-step explanation:

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

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!!!

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

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

Answer:

we can't graph for u on brainly sorry.

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

Answer:

Hiii

Step-by-step explanation:

3. M=-3/4  B=4

6. M=-5/4  B=-2

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:

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.

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

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:

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.

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

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

Answer:

The answer should be $143

Answer: x= 3

Step-by-step explanation:

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

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

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

Answer:

14 x

Step-by-step explanation:

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.

Answer:

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

Step-by-step explanation:

Answer:

C, D

Step-by-step explanation: