How many different license plates are possible if digits and letter can be repeated if the configuration is 3 letters, 2 digits, 2 letters?

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer:

y=4

Step-by-step explanation:

Since x is given, substitute the x value to the equation:

3(3) +7y=37

9+7y=37

7y=28

y=4

Answer:

where is the rest of the question, how much was each calculator?

Answer:

2f = 5b

Explanation:

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer:

David has 280 yards of fencing to enclose a rectangular area. Find the demensions of the rectangle that maximize the enclosed area.What is the maximum area?

***

let x=width

let y=length

2x+2y=280

x+y=140

y=140-x)

Step-by-step explanation:

The equation that states the sum of the tickets sold is -

30x + 45y = 60900.

We have concert promoter.

We have to write an equation that states that the total amount received from the sale, which is 60,900 dollars.

The equation modelling is a process of writing a mathematical equation from a mathematical statement involving variables, constants etc.

According to the question -

Money earned from $30 tickets = $30x

Money earned from $45 tickets = $45y

Total money from 1780 tickets = $60,900

Therefore -

30x + 45y = 60900

Hence, the equation that states the sum of the tickets sold is -

30x + 45y = 60900.

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[ The given question is incomplete, the complete question is

A concert promoter needs to make $60,900 from the sale of 1780 tickets. The promoter charges $30 for some tickets and $45 for the others. Let x represent the number of $30 tickets and y represent the number of $45 tickets. Write an equation that states that the total amount received from the sale is 60900 dollars.]

Answer:

the answer is 8

Step-by-step explanation:

times 4 8 times and it is 32

Answer:

4 times 32

Step-by-step explanation:

is your answer 128

Answer: 4 1/2 or 4.5 cups

Step-by-step explanation: 3 x 1 1/2 = 3 3/2 = 4 1/2 or 4.5.

Answer:

4 1/2 cups

Step-by-step explanation:

If one batch takes 1 1/2 cups of sugar, and you want 3 batches, you would multiply 1 1/2 by 3. 1 x 3 = 3, and 1/2 x 3 = 3/2. 3/2 can be simplified to 1 1/2, and 1 1/2 + 3 = 4 1/2.

Answer:

2, -2

Step-by-step explanation:

i have already learned this

Answer:

(-2 , -2)

Step-by-step explanation:

The Onion publishes a satirical, comedic story making fun of President Trump. Nothing in the story is remotely true

False information is presented as fake news. This is bogus news since the onion published a satirical fictional report about President Trumb. GSU fabricates false, deceptive information, often known as false news. False news is not defined as news that has factual inaccuracies.

GSU intentionally produces and disseminates a phony but plausible-looking news item touting the excellent parking situation on campus in an effort to boost applicants.

The term "fake news" describes news sources that pose as authentic while actually being false. It frequently aims to make money from advertising or to harm someone's or an organisation's reputation.

By purposefully fabricating and spreading a bogus but plausible-looking news article claiming how excellent the parking situation is on campus, GSU hopes to increase the number of applications. Which is false information that will cause people to come forward with job applications.

The Onion publishes a satirical, comedic story making fun of President Trump. Nothing in the story is remotely true

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we know that

The formula to calculate the distance between two points is equal to

Find out the coordinates of point Q and point L

Looking at the graph

Q is (5,3) and L is (8,5)

substitute the given values in the formula

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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Answer:

Iv'e checked both of them and they have NO solutions so nyour answer is (None)

Step-by-step explanation:

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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The number of groups of 7/4 that are in 1 is 4/7.

The value of 3 ÷ 7/4 is 5 1/4.

In order to determine the number of groups of 7/4 that are in 1, divide 7/4 by 1.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

1 ÷ 7/4

= 1 x 4/7 = 4/7

3 ÷ 4/7

3 x 7/4 = 21/4 = 5 1/4

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Answer:

4/4 groups and 12/7

Step-by-step explanation:

\(1. \: 3 \times \frac{4}{7} \\ 2. \: \frac{3 \times 4}{7} \\ 3. \: \frac{12}{7} \)

9514 1404 393

Answer:

Step-by-step explanation:

We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...

  y -0 = -1(x -5)

Simplifying gives the slope-intercept form:

  y = -x +5 . . . . . . . use the distributive property to eliminate parentheses

Adding x to both sides gives the standard form:

  x + y = 5

__

Explanation

We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.

Answer:

48 units^2

Step-by-step explanation:

So i split the arrow to make it just one rectangle and one triangle

Area of rectangle

= 4×10

= 40 units^2

Area of triangle

= (12-10)×8×1/2

= 2×4

= 8 units^2

Total area of the arrow

= 40+8

= 48 units^2

Answer:

yeah, its 64

Step-by-step explanation:

The is a striking deviation at the value of 5.5.

This deviation is seen in the form of a cluster of dots that are significantly higher than the rest of the data points. This cluster of dots represents a group of observations that share a similar characteristic or variable that sets them apart from the rest of the data set.
The presence of this deviation at the value of 5.5 indicates that there is a unique factor or characteristic present in this group of observations that is not shared by the rest of the data set. This could be due to a number of factors, such as a different population, different data collection methods, or even measurement error.
It is important to note this deviation when analyzing the data set, as it can have a significant impact on any conclusions drawn from the data.

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Answer:

p = -2/67

Step-by-step explanation:

We divide 67 on both sides.

-2 / 67 = -2/67

67p / 67 = p

We got p = -2/67

Hope this helps.

Answer:

4.

a.octagon

b.squertagon

c.triangle

t.b

Answer:

b. 225 joules

Step-by-step explanation:

plug in 5 m/s and 12.5 m/s in to v and h.

Answer:

A. 175 Joules

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is  7.94 * 10^8 miles farther from Sun than Earth is.

Answer:

B. (Edmentum University)

Step-by-step explanation:

we can do the same as before, make it an equation =0 and use the LCD to get integers for the coefficients.

\(\cfrac{1}{3}x^2-1=0\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( \cfrac{1}{3}x^2-1 \right)=3(0)} \\\\\\ x^2-3=0\implies 1x^2+0x-3=0\implies 3(1x^2+0x-3)\qquad \begin{cases} a = 1\\ b = 0\\ c = -3 \end{cases}\)

notice that when writing a polynomial in descending order, any missing terms are not really missing per se, they are there but in disguise with our very good friend Mr. Zero, 0.

Answer:

a. \( \frac{- 42,500}{(v + 60)(v - 40)} \)

Step-by-step Explanation:

Given:

Distance Ottawa to Québec = 425 km

Initial flight rate = v + 60

Return flight rate = v - 40

\( t = \frac{d}{r} \)

Required:

Flight times difference of the initial and return flights

Solution:

=>Flight time of the initial flight:

\( t = \frac{d}{r} \)

\( t = \frac{425}{v + 60} \)

=>Flight time of the return flight:

\( t = \frac{425}{v - 40} \)

=>Difference in flight times:

\( \frac{425}{v + 60} - \frac{425}{v - 40} \)

\( \frac{425(v - 40) -425(v + 60)}{(v + 60)(v - 40)} \)

\( \frac{425(v) - 425(40) -425(v) -425(+60)}{(v + 60)(v - 40)} \)

\( \frac{425v - 17000 -425v - 25500}{(v + 60)(v - 40)} \)

\( \frac{425v - 425v - 17000 - 25500}{(v + 60)(v - 40)} \)

\( \frac{- 42,500}{(v + 60)(v - 40)} \)

Answer:

  -4

Step-by-step explanation:

The opposite of 2 is -2.

Subtracting 2 from -2, we have ...

  (-2) -(2) = -4

The result is -4.

The solution is 4ln3 - 3ln5, which is correct option(C).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmatic operation are called arithmatic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln81/125

⇒ ln81 - ln125   [used property : logₐ(x/y) = logₐx - logₐy]

⇒ ln3⁴ - ln5³    [ 81 =3⁴ and 125 = 5³ ]

⇒ 4ln3 - 3ln5   [used property : logₐ(xⁿ) = nlogₐx]

Hence, the solution is 4ln3 - 3ln5

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Answer:

Step-by-step explanation:

a steel batch of t = 830 c is quenched in an oil bath (mol = 450kg / tol = 20c). What is the maximum mass of steel in kg allowed in the batch. Have the oil not heated up to more than 30 c?

useful data: ol c = 1.8kj / (kg.K)

steel: c = 0.49kj / (kg.K m steel =         kg

Answer:

z(max) = 650 $

x₁ = 10 units

x₂ = 15 units

Step-by-step explanation:

That is a linear programming problem, we will use a simplex method to solve it

Formulation:

Let´s call  x₁  number of chairs   and x₂ number of tables then :

Item              (in hours)     cutting       assembly      finishing        Profit ($)

Chairs (x₁)                              1                   2                     1                      20

Tables (x₂)                              2                   1                      1                      30

Availability                           40                 42                   25

Objective Function

z  =  20*x₁   +  30x₂   ( to maximize) subject to:

x₁  +  2x₂   ≤  40

2x₁  + x₂    ≤  42

x₁ + x₂     ≤    25

x₁  ,   x₂  >= 0

Using excel or any other software we find:

z(max) = 650

x₁ = 10

x₂ = 15

The chairs and tables manufactured by the factory is an illustration of linear programming, where the maximum revenue is 674

Let x represent chairs, and y represent tables

So, the given parameters are:

Cutting:

So, the constraint is:

\(\mathbf{x + 2y \le 40}\)

Assembly:

So, the constraint is:

\(\mathbf{2x + y \le 42}\)

Finishing:

So, the constraint is:

\(\mathbf{x + y \le 25}\)

The unit profit on the items are:

So, the objective function to maximize is:

\(\mathbf{Max\ z = 20x + 30y}\)

And the constraints are:

\(\mathbf{x + 2y \le 40}\)

\(\mathbf{2x + y \le 42}\)

\(\mathbf{x + y \le 25}\)

\(\mathbf{x,y \ge 0}\)

Using graphical method (see attachment for graph), we have the following feasible points:

\(\mathbf{(x,y) = \{(10,15),\ (17,8),\ (14.67, 12.67)\}}\)

Calculate the objective function using the feasible points.

\(\mathbf{z = 20 \times 10 + 30 \times 15}\)

\(\mathbf{z = 650}\)

\(\mathbf{z = 20 \times 17 + 30 \times 8}\)

\(\mathbf{z = 580}\)

\(\mathbf{z = 20 \times 14.67+ 30 \times 12.67}\)

\(\mathbf{z = 673.5}\)

Approximate

\(\mathbf{z = 674}\)

Hence, the maximum revenue is 674

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