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 $1800. The law firm designated twice as many partners as associates to the case and was able to charge the client $17600 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.

Answer:

x=18

Step-by-step explanation:

multiply both sides of the equation by 6/5

simplify

yw

Answer:

ima say Chlorine  

Step-by-step explanation:

Q's Which element is located in Group 17 and Period 6?

Chlorine is in group 17 of periodic table, also called the halogens, and is not found as the element in nature.

Answer:

Group 17 Elements: On the periodic table, the halogens are to the left of the noble gases. Fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (A) are the five poisonous non-metallic elements that make up Group 17 of the periodic table (At). Despite the fact that astatine is radioactive and has only short-lived isotopes, it behaves similarly to iodine and is frequently classified as a halogen. Because halogen elements have seven valence electrons, forming a complete octet requires only one extra electron. Because of this, they are more reactive than other non-metal groups.

In the periodic table, the Group 17 elements exist as the second column from the right side. The group 17 elements consist of Fluorine, Chlorine, Bromine, Iodine, Astatine, and Tennessine. The group 17 elements are called halogens. We will study the importance of group 17 elements, their properties, and their uses in this article. Some of the classic uses of halogens are as follows: Iodine is used as an antiseptic, chlorine is a disinfectant, fluorine is used in toothpaste in the form of sodium fluoride as it prevents tooth decays.

Step-by-step explanation:

Answer:

[tex]3x^2 - 10x -5[/tex]

Step-by-step explanation:

[tex]g(f(x))=g(x-1) \\ \\ =3(x-1)^2-4(x-1)-12 \\ \\ =3(x^2-2x+1)-4(x-1)-12 \\ \\ =3x^2-6x+3-4x+4-12 \\ \\ =3x^2 - 10x -5[/tex]

Answer:

[tex]g(f(x))=3x^2-10x-5[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=x-1\\g(x)=3x^2-4x-12\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

Therefore, the given composite function g(f(x)) means to substitute function f(x) in place of the x in function g(x):

[tex]\begin{aligned}\implies g(f(x))&=g(x-1)\\& = 3(x-1)^2-4(x-1)-12\\&=3(x-1)(x-1)-4x+4-12\\&=3(x^2-2x+1)-4x-8\\&=3x^2-6x+3-4x-8\\&=3x^2-6x-4x+3-8\\&=3x^2-10x-5\end{aligned}[/tex]

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Answer: 3x + 6 = 2x - 12

Step-by-step explanation: So, the answer to what x is:- is

3x + 6 = 2x - 12

3x - 2x = -12 - 6

x = - 18

The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)

The point slope equation can be represented as follows:

y - y₁ = m(x - x₁)

where

The line passes through (1, 0) and (6, -3).

Therefore, the point slope equation can be represented as follows:

m = y₂ - y₁ / x₂ - x₁

Hence,

m = -3 - 0 / 6 - 1

m = -3 / 5

m  = - 3 / 5

Using (6, -3) the point slope equation is y - (-3) = - 3 / 5 (x - 6)

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Answer:

He owes $33556.08 worth of self employment tax.

Explanation:

consider firstly calculating the profit that he has made after this period which can be calculated as profit= income minus expenses and in this case we are given income earned from self employment of $143380 and the expenses incurred in generating this income is $3563 so we find he difference in these two amounts which is $143380-$3563 = $139817 therefore this profit is the taxable income that he needs to deduct tax from.

in order to calculate tax from this amount we go to the tax table so therefore a person earning between $84201 to $160725 is charged 24% tax as per tax table. so now we will say $139817 x 24% = $33556.08 is the tax he owes the IRS.

Answer:

0.5

Step-by-step explanation:

want an explanation?

The answer in hours is 8.91 hours.

Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.

Given: 8 hours 20 minutes and 36 seconds

20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours

because as mentioned above 1 hour = 60 min

and 36 seconds in hours can be written as 36/ 60X60  = 1/ 100 hours or 0.01 hours .

because 1 min = 60 seconds and 1 hour = 60 min

thus 1 hour = 60 X 60 seconds

Thus the final answer is 8+0.9+0.01 hours = 8.91 hours

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Answer:

7x + 12

Step-by-step explanation:

(10x - 3x)     + 12

     7x      + 12

We need to know about ratio to solve this problem. The number of grams of zinc is 1331 grams.

Ratio in simple terms mean how many times one number contains another. In this question we know that the ratio of copper and zinc is 3 to 11 which means that in the chemical there are 3 parts of copper and 11 parts of zinc. The ratio between two things can be obtained by dividing one by the other and reducing it to the simplest fraction. We know that 363 grams of copper is present, we need to find the amount of zinc. Let us consider the amount of zinc to be x

363/x=3/11

x=363x11/3=121x11=1331

Therefore the amount of zinc present is 1331 grams.

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Answer:

2. NP is the longest side

Step-by-step explanation:

I assume the messages of N and A are degrees if the angles there.

angle A = 70°

angle N = 45°

that means

angle P = 180 - 70 - 45 = 65°

because the sum of all angles in a triangle is always 180°.

and that means A is the largest angle, and its opposite side is therefore the longest in the triangle.

the side opposite of A is NP.

Answer:

[tex]n=4[/tex]

Step-by-step explanation:

[tex]6n-6=-9n+54[/tex]

Shifting the like terms:

[tex]6n+9n=54+6[/tex]

Simplify the equation:

[tex]15n=60[/tex]

Solve for n:

[tex]n=\frac{60}{15}[/tex]

The final answer is:

[tex]n=4[/tex]

There are 200 fishes estimated.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

captures 20 fish out of a small lake behind his college.

Now,

He again catches 20 fishes out of which 2 have markers

let the estimated fish are x.

So,

2/ 20 = 20 /x

20 x 20 = 2x

400 = 2x

x= 400/ 2

x= 200

Hence, there are 200 fishes estimated.

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The area of a circle with a circumference of 60cm is 286. 38cm²

The formula for calculating the circumference of a circle is expressed as;

Circumference = 2 πr

Where;

Now, let's put and substitute the value of circumference of the circle as 60cm in the formula

We have;

60 = 2 πr

Interchange the value for π as 3.14, we have;

60 = 2× 3.14r

Multiply the values

60 = 6.28r

Make 'r' the subject of formula by dividing both sides by the coefficient of the variable 'r'

r = 60/6.28

Find the quotient

r = 9.55cm

But we have that the formula for area of a circle is expressed as;

Area = πr²

Substitute or put the value of radius into the formula

Area = 3. 14(9.55)²

Determine the square of the value

Area = 3.14(91. 20)

Find the product

Area = 286. 38cm²

Thus, the area is 286. 38cm²

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Answer:

8*19.97=159.76

Step-by-step explanation:

Answer:

8*19.97=159.76

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

25÷100×40=10

25-10=15

Answer:

Discount is 40 % so Mohamad will pay 60%

25x 60/100

=1 x 60/4

=60/4

=15

60% of $25 is= $15

Mohamad pays $15

PLSS MARK AS BRAINLIEST

The number of vegetable-bearing plants is 12/5.

Lowes carries 3 types of plants.

1/10 of the plants are fruit bearing

1/2 of the plants are flower-bearing

The rest are vegetable-bearing plants.

Solution:

Let x be the no of vegetable-bearing plants.

The total number of plants = Number of plants that are fruit-bearing + Number of plants that are flower-bearing + Number of plants that are vegetable-bearing.

3 = 1/10+1/2+x

Taking L.C.M.,

3 = 1+5+10x/10

3 = 6+10x/10

30 = 6+10x

30-6 = 10x

24 = 10x

x = 12/5

Therefore, 12/5 of plants are vegetable-bearing.

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The value of MP in the parallelogram is 29 units.

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.

Therefore,

The diagonals of parallelogram LMNO intersect at point P.

The diagonals of parallelogram LMNO are LN and MO.

The point P of the parallelogram divides each diagonal into exactly two equal parts.

Hence,

MP = OP

MP = 2x + 5

OP = 3x - 7

2x + 5 = 3x - 7

2x - 3x = -7 - 5

- x = - 12

x = 12

Therefore,

MP = 2(12) + 5

MP = 24 + 5

MP = 29

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The expression for the product of 2 and the difference of a number and 5 is 2x - 10

An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants

These expressions also known to be made up of various mathematical or arithmetic operations, such as;

From the information given, we have;

The product of 2 and the difference of a number and 5.

Let the number be x

This can be represented thus;

2(x- 5)

expand the bracket, we have;

2x - 10

Hence, the expression is 2x - 10

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Complete question:

Write the expression for

Answer:

Step-by-step explanation:

When subtracting 7x from both sides in the first step, she said [tex]4x-7x=3x[/tex], even though [tex]4x-7x[/tex] is actually equal to [tex]-3x[/tex].

Step-by-step explanation:

I hope it will be helpful for you.

Step-by-step explanation:

hope this helps:)

Answer:

The domain should be "All Real Numbers" and the Range should be "y is greater than or equal to 0"

Answer:

15601 OR 1+100(55+100)+100

Step-by-step explanation:

A=1

B=25

C = 100

D = 55

E = +

F = -

G =()

AECGDECGEC

1+100(55+100)+100

1+100(155)+100

1+15500+100

15601

Answer:

third option

Step-by-step explanation:

the sum of x and y is 140 , that is

x + y = 140

the difference between x and y is 32 ( y is smaller ) , then

x - y = 32

the system to solve for x and y is

x + y = 140

x - y = 32

Answer:

3rd one trust me

12 ejrid the rude

The solution for the linear equation is x = 6, thus the correct option is the second one.

Here we have the linear equation:

(x - 3)/4 + 2/3 = 17/12

To solve this we need to isolate the variable, x, in one of the sides of the equation.

(x - 3)/4 + 2/3 = 17/12

(x - 3)/4 = -2/3 + 17/12 = -8/12 + 17/12 = 9/12 = 3/4

(x - 3)/4 = 3/4

x - 3=  4*(3/4) = 3

x = 3 + 3

x = 6

The solution is x = 6, thus the correct option is the second one.

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Step-by-step explanation:

10r 7r-1 r-9 7r-7=10 5r²2

[tex]5^{2}[/tex]= 25, forming the right triangle of 3 4 5.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.

If two angles share a side and a vertex, they are said to be neighboring in geometry. In other words, neighboring angles do not overlap and are placed next to one another immediately.

Remember that a2 + b2 = c2.

[tex]5^{2}[/tex] = 25, so the 3 4 5 right triangle .

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