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 $500 and the daily rate for each partner is $1000. The law firm assigned a total of 8 lawyers to the case and was able to charge the client $6500 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 50h + 30

We are given the following costs in the car detailing shop as follows;

Cost of Materials = $30

Cost per hour for labor = $50

Since the equation of a line in slope intercept form is; y = mx + c, then we can say that the equation here can also be expressed as;

C(h) = 30 + 50h

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 30 + 50h

Read more about Cost Function at; https://brainly.com/question/2292799

#SPJ1

The coordinates of point Z is (-5/7, 16/7)

The formula for calculating a coordinate points using the points (-5, -2) and point P is located at (1, 4) in the ratio 2:5 is expressed as:

Z (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}

Substitute the coordinates and ratios to have;

Z (x, y) = {(2(-5)+5(1))/2+5, (2(-2)+5(4))/2+5}

Z(x, y) = {-10+5/7, -4+20/7}

Z(x, y) = (-5/7, 16/7)

Hence the coordinates of point Z is (-5/7, 16/7)

Learn more on midpoint here; https://brainly.com/question/5566419

#SPJ1

The answer choice which could represent the real-world description of 4x - 17 is; $17 less than the cost of 4 hot dog combos.

It follows from the task content that the real-world description of the expression; 4x -17 is to be identified.

On this note, if the cost of 1 hot dog is; x.

Hence, the cost of 4 hot dogs is; 4x.

Ultimately, the given expression represents; $17 less than the cost of 4 hot dog combos.

Read more on real-world description;

https://brainly.com/question/13172742

#SPJ1

Answer: C

Step-by-step explanation:

The statement, "A survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job" describes Inferential statistics.

Inferential statistics is a sort of statistic that requires people to reach a conclusion based on some previously provided samples. In the statement above, we can see some statistics that have been previously stated that is followed by a conclusion.

The assumption that is made in the latter part of the statement is the reason why the statement can be referred to as inferential statistics.

Learn more about inferential statistics here:

https://brainly.com/question/28009595

#SPJ4

Answer:

2

Step-by-step explanation:

First you do the 2² which is 4 then 5-4 is 1-3 is -2³ is -8/-4 is 2

For given number 100

the exponent form = 10²

the word form = One Hundred

For given question,

The area of a closet is 100 square feet.

We need to write the number in exponent form and word form.

First we write given number in exponent form

⇒ 100 = 10 × 10

⇒ 100 = 10²

So, the exponent form given number 100 is 10²

And the word form of given number is : One Hundred

Therefore, for given number 100

the exponent form = 10²

the word form = One Hundred

Learn more about the exponent form and word form here:

https://brainly.com/question/577797

#SPJ4

Answer:

20.36 is the answer

2.12x3=6.36

3.50x4=14

14+6.36=20.36

Answer:

20.36

Step-by-step explanation:

1)3*2.12=6.36

2)4*3.50=14

3)6.36+14=20.36

Answer: 15 burgers

Step-by-step explanation:

7.74/6=$1.29 per burger

$19.35* 1 burger/$1.29=

19.35*1/1.29=

19.35/1.29=15 burgers

The two numbers by setting up a linear equation are 32 and 56 respectively

A linear equation is an equation that has a linear degree of 1. Let the 2 unknown number be x and y

If the sum of two numbers is 88, then;

x + y = 88

If one number is 4 more than half the other number, then

x = 1/2y + 4

Substitute equation 2 into 1

x + y = 88

(1/2y+4) + y = 88

1/2y+y + 4 -88 = 0

3/2y - 84 = 0

3/2y. = 84

3y = 2(84)

3y = 168

y = 56

Determine the value of x

x =88 - 56

x = 32

Hence the two numbers by setting up a linear equation are 32 and 56 respectively

Learn more on linear function here: https://brainly.com/question/15602982

#SPJ1

The value of the expression otherwise termed it's simplified form as required that the expression be evaluated in the task content is; 15aw.

It follows from the task content that the expression which is as given in the task content be evaluated, and hence, expressed in its simplified form.

Given;

3a × 5w

Since, the constants can be multiplied and their product determined, it follows that we have;

(3 × 5) (a × w)

And ultimately, we have the value of the expression to be; 15aw.

Therefore, The value of the expression otherwise termed it's simplified form as required that the expression be evaluated in the task content is; 15aw.

Read more on product of terms;

https://brainly.com/question/25301924

#SPJ1

Answer:

0,5(3x+12+8x)

0,5(11x+12)

5,5x+6

Answer:

5.5x + 6

Step-by-step explanation:

0.5{3x + 4(3 + 2x)}

Apply the distributive property, multiply 4 by 3 and 4 by 2x.

0.5(3x + 12 + 8x)

Add 3x and 8x

0.5(11x + 12)

Apply the distribdistributive proproperty again and multiply 0.5 by 11x and 0.5 by 12.

The product would be 5.5x + 6.

Answer:

4/8 and 3/6 are equivalent because they both equal 1/2.

Answer:

4/8 and 3/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

So, basically, the slope intercept form is y = mx + b

m is rise over run x is well x and b is where the original y is.

So 2x-3 is up two over one

And 1x-1 is up one over one

And take for example 2/3x + 5

That would be up two over three

0, 1, 2, 4, 5, and 7.

So that would be 6 digits.

In mathematics, the only single symbol used to represent a number is a digit. For instance, there are two digits in the numbers 89: 8 and 9. As a result, in everyday life, digits like 0, 1, 2, 3, 4, 5, 6, 7, 8, and 0 are employed to represent groups of numbers and perform mathematical operations. A positional numeral system uses a single sign, such as "2," or a set of symbols, such as "25," to represent numbers. The word "digit" derives from the fact that the ten fingers of the hands, or digit in Latin, corresponding to the ten symbols of the decimal system, which uses the base-10 numeral system.

To learn more about digits form the given link:

https://brainly.com/question/15486304

#SPJ9

The number of players randomly selected is 381 and the standard deviation is 1.96.

The standard deviation is a measurement of how much a group of values varies or is dispersed. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection. The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

[tex]Z(\alpha /2)=1.96[/tex]

Sample size = n = [tex][Z(\alpha /2 * \sigma/E) ]^{2}[/tex]

n = [1.96 * 3.0 / 0.95]²

n = 381.85

n ≈ 381

To learn more about Standard deviation, visit:

https://brainly.com/question/12402189

#SPJ4

The experimental probability that at least two heads would be gotten is 11 / 25.

The theoretical probability that at least two heads would be gotten is 1/2.

Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability = number of times at least two heads would be gotten / total number of tosses

( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25

Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes

4 / 8 = 1/2

Please find attached the complete question. To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

The probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.

Probability of an event E denoted by P(E) is defined as (number of favorable outcomes )/( total number of outcomes).

For example : the probability of getting Head in  single toss of an unbiased coin.  P(H)=1/2.

According to the given question

Total number of cards in a standard deck of cards is 52.

There are 4 suit in a deck each having 13 card each.

number of 8 card in a deck = 4

Number of hearts in a deck = 13-1=12      (-1 because 8 of heart is counted before.)

number of favorable cases of getting  either an 8 or a heart is 4+12=16.

The probability of getting either an 8 or a heart is [tex]\frac{16}{52} =\frac{4}{13}[/tex].

Therefore , the probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.

Learn more about Probability here https://brainly.com/question/27856549

#SPJ4

Answer:

27% of a 3m is 810,000

but here answer r is 0.27 3,000,000

Numerical representation of Twenty-seven percent of three million will be 0.27 x 3,000,000 .

The correct option is B.

Given, word form Twenty-seven percent of three million.

Conversion of word form into numerical form.

1 million = 1,000,000

Using unitary method,

Multiply both sides by 3.

1 million × 3 = 1,000,000 × 3

3 million = 3,000,000

Now 27% in terms of fraction can be written as :

27% = [tex]\frac{27}{100}[/tex]

= 0.27

Combining ''Twenty-seven percent of three million" :

Of in mathematics represent multiplication .

0.27 × 3000000

Thus the correct option is B .

Know more about percentage,

https://brainly.com/question/23418123

#SPJ7

Answer: 0.69

Step-by-step explanation:

1.242 ÷ 1.8=

1.242/1.8=0.69

Answer:

Last option

Step-by-step explanation:

→ Find the sum for how much he spent

[tex]\frac{2}{3} +\frac{1}{4} =\frac{11}{12}[/tex]

Answer:

C

Step-by-step explanation:

When combining the like terms of 8+3a+7b-5+2a-7b, the result will be 5a+3

Given,

The expression =8+3a+7b-5+2a-7b

Rearrange the terms alphabetical order and combine the like terms

8+3a+7b-5+2a-7b =3a+2a+7b-7b+8-5

=(3+2)a+(7-7)b+(8-5)

=5a+0b+3

=5a+3

Hence, When combining the like terms of 8+3a+7b-5+2a-7b, the result will be 5a+3

Lear more about like terms here

brainly.com/question/17599464

#SPJ4

Applying the alternate exterior angles theorem, the value of x = 10.

According to the alternate exterior angles theorem, the following alternate interior angles are congruent to each other:

m<JPM = m<NQK

Given the following:

m<JPM = 125°

m<NQK = (13x - 5)°

Substitute

125 = 13x - 5

125 + 5 = 13x

130 = 13x

Divide both sides by 13

130/13 = 13x/13

10 = x

x = 10

Therefore, applying the alternate exterior angles theorem, the value of x = 10.

Learn more about the alternate exterior angles theorem on:

https://brainly.com/question/24839702

#SPJ1

Answer:

LCD = 9

Step-by-step explanation:

1/3 = 3/9

3/9 =3/9

Nearly 80% of those surveyed said they want to work for a company that values diversity, equity, and inclusion issues.

Value is utilized as capital raised by an organization, which is then used to buy resources, put resources into ventures, and asset tasks. A firm commonly can raise capital by giving obligation (as a credit or through bonds) or value (by selling stock). In finance, value is responsibility for that might have obligations or different liabilities joined to them. Value is estimated for the purpose of bookkeeping by taking away liabilities from the worth of the resources. For instance, on the off chance that somebody possesses a vehicle worth $24,000 and owes $10,000 on the credit used to purchase the vehicle, the distinction of $14,000 is value. Value can apply to a solitary resource, like a vehicle or house, or to a whole business. A business that requirements to fire up or grow its tasks can offer its value to raise cash that doesn't need to be reimbursed on a set timetable.

To learn more about equity, visit:

https://brainly.com/question/27853268

#SPJ4

Answer:

6.3 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

The square root of an integer is either an irrational number or an integer. The latter is the case if and only if there is an integer which, when multiplied by itself, or squared, yields the number inside the symbol (the radicand) as the product. All square roots except perfect squares are irrational numbers. 3 is not a perfect square.

The values of θ, i.e. the general solution of the given trigonometric equation that satisfy the given equation are: 5π/12, π/12.

The general solution of a trigonometric equation is a formula employing the integer n that provides all solutions.

Given:

TO find: Values of θ.

Finding:

In the given equation: 2 cos( 4θ) - 1 = 0,

=> cos (4θ) = 1/2

=> cos (4θ) = cos (π/3)

=> 4θ = 2nπ ± π/3

=> θ = nπ/2 ± π/12

For n = 0, θ = ± π/12

For n = 1, θ = π/2 ± π/12

Since θ ∈ [0, π/2],  the possible values of θ = π/12, π/2 - π/12 = 5π/12.

Hence, The values of θ that satisfy the given equation are: 5π/12, π/12.

To learn more about general solution of trigonometric equations, refer to the link: https://brainly.com/question/24349828

#SPJ4

Answer:

Step-by-step explanation:

5x+1/3(3x−6)=10

5x+1/3(3x−6)=10

5x+(1/3)(3x)+(1/3)(−6)=10                           (Distribute)

5x+x+−2=10

(5x+x)+(−2)=10                                          (Combine Like Terms)

6x+−2=10

6x−2=10

6x−2+2=10+2

6x=12

6x/6=12/6

x=2

Answer:

4 × 4 is 16.

Multiplication:

Multiplication is the operation of increasing a value by another value the number of times the other value says to increase the first value.

e.g, 5 × 6 = 30

Since both terms are perfect squares, factor using the difference of squares formula,

a2−b2=(a+b)(a−b) where a=y and b=3.

(y+3)(y−3)