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 $600 and the daily rate for each partner is $1100. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
There were ____associates assigned to the case and ____
partners assigned to the case.

Answer:  35

Step-by-step explanation:

The sum of interior angles of a triangle is 180°.

40 + 2a + 2a = 180

4a + 40 = 180

4a = 140

a = 35

Answer  This is the answer in thie screenshot ok

Answer:

Step-by-step explanation:

1[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{3}[/tex] = [tex]\frac{3}{2}[/tex]*[tex]\frac{1}{3}[/tex]    cross cancel    then  you have  [tex]\frac{1}{2}[/tex]   :)

Answer:

He will use 1 1/6 teaspoons

You can change mixed numbers by changing it into an improper fraction.

Step-by-step explanation:

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]

[tex]x = 84[/tex]

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

[tex]y = \frac{3}{7}\cdot x[/tex]

[tex]y = 36[/tex]

Murieron 36 vacas.

Cantidad de vacas vendidas

[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]

[tex]z = 24[/tex]

24 vacas fueron vendidas.

Answer:

2 minutes, 40 seconds

Step-by-step explanation:

set up a proportion and cross-multiply:

4/3 = x/2

3x = 8

x = 2 2/3 which is 2 minutes, 40 seconds

Answer:

A) 781.3

Step-by-step explanation:

To find the volume of the cone, you must first find the radius and height of the cone. Which is 7km (radius) and 14km(height).

Next use the formula (Which is in the picture since it's too hard to type out on here)

I also would of explained it but I found it easier just to type it out (In the file attached below)

Finally the answer is 781.3 km

Hope this helps

Answer:

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Trying it in a calculator says otherwise meaning it's false

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.

…… (1)

where

Terminal voltage of the motor

Flux in the motor

Torque induced in the motor

Armature resistance

If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.

Answer: -7 is the answer.

Step-by-step explanation:

y2 - y1 = m (x2 - x1)

y - (-5) = -2 {x - (-1)}  [Taking y2 as y and x2 as x]

y + 5 = -2 (x + 1)

y + 5 = -2x -2

y + 2x = -2 - 5

2x + y = -7

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

Answer:

B -1/16

Step-by-step explanation:

Step-by-step explanation:

4. because it's the highest number your can evenly divide both numbers by

Answer:

27/512 in.^3

Step-by-step explanation:

volume = side^3

V = (3/8 in.)^3

V = 27/512 in.^3

Answer:

C

Step-by-step explanation:

105,25:5,5*105.5=2018,89

Answer:

i belive it is answer  B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

im not sure

Answer:

VTFV

Step-by-step explanation:

Answer:

D'(5,2)

E'(13,-5)

F'(15,3)

Answer:South Asia-C

Step-by-step explanation:

gaged

Answer:

C, Southeast Asia

Answer: 47.5 ft

Step-by-step explanation:

since this is a right triangle, you can use trig to solve for x:

cos 22° = [tex]\frac{44}{x}[/tex] (cos = adjacent/hypotenuse)

x * cos 22° = 44

x = [tex]\frac{44}{cos 22}[/tex] (plug into calc)

x = 47.5 ft

Answer:

9. B. 32 millimeters

10. C. 7 inches

11. C. 56.24 millimeters

13. B. 14.13 square feet

Step-by-step explanation:

9. Radius of a circle or any circular shape = ½ of its diameter

Diameter of the disk = 64 millimeters

Radius of the disk = ½(64) = 32 millimeters

10. Width of the cooler = 6 in.

Length = 8 in.

Volume = 336 in.³

Height = ?

Formula for volume of a rectangular prism = L*W*H

Plug in the values

336 = 8*6*H

336 = 48*H

Divide both sides by 48

336/48 = H

H = 7 inches

11. A dime has a circular shape

The circumference of the dime = circumference of a circle = πd

Where,

d = 17.91 millimeters

π = 3.14

Plug in the values

C = 3.14 × 17.91 = 56.2374

≈ 56.24 millimeters (nearest hundredth)

12. Area of the top of the desk = area of semicircle = ½ × πr²

Where,

r = ½(6) = 3 ft

π = 3.14

Plug in the values

Area = ½ × 3.14 × 3² = ½ × 3.14 × 9

Area = 14.13 square feet

I believe it's 2/3

Hope that helps

Answer: A, 314 square inches

Step-by-step explanation:

The equation for the area of a circle is A = 3.14 x r²

3.14 x 10² ≈ 314

Answer:

a) 2/6           b) 4/6

Step-by-step explanation:

You add the amount of beads: 1+2+2+1= 6

And take the amount of green beads and put it over the total amount so 2/6

For b you do the same but add the green and yellow beads and put that over the total amount 4/6

Answer:

Step-by-step explanation:

a) 2/6 = 1/3

b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) =  1/15 x 1/15 = 1/225

im not sure if my answers are correct

Answer:

8^2 = 64

Step-by-step explanation:

Hi! Okay, let's get started!

[tex]8^{2}[/tex] is what you need help with right?

So, that equals to 8 x 8.

8 x 8 = 64, so it would be 64

Hope that helps!

-Aphrodite :)

Answer:

Measure?

Step-by-step explanation:

Could u like explains more pls?

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70