Out of the 1236 employees who work for a particular company, 748 of them work in an office. One employee is selected every month to receive a free
lunch. The probability that the selected employee does not work in an office is

Answer:

x^4-11x^2+28

Step-by-step explanation:

x^2(x^2-4) -7(x^2-4)

    2. Multiply

x^4-4x^2-7x^2+28

    3. Simplify

x^4-11x^2+28

Answer:

6

Step-by-step explanation:

The LCM of 2 and 6 is 6. I hope this helps

(-2, -2)

Step-by-step explanation:

In this problem, you only know the coordinates of the final point and the distance moved in order to get there (which was moving 3 units down and 6 units to the right). If you want to find the starting point, you simply have to go backwards by subtracting 3 from -5 because the y coordinates move upwards/downwards, and then subtracting 6 from 4 because the x coordinates go left/right in order to get your final answer, (-2, -2).

The sequence of movements can be reversed to find the initial position, which is (-2, -2).

To determine the starting point, we can reverse the given movements: moving down 3 units and right 6 units from the final position (4, -5). If we move 3 units up from the final y-coordinate (-5), we get -5 + 3 = -2.

Similarly, if we move 6 units left from the final x-coordinate (4), we get 4 - 6 = -2. Therefore, the starting point is (-2, -2).

To visualize this, imagine a coordinate plane where moving down represents decreasing the y-coordinate and moving right represents increasing the x-coordinate.

Starting at (-2, -2), moving down 3 units brings us to (-2, -5), and then moving right 6 units from there leads us to the final position (4, -5).

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Answer:

A(9, 2 ), B(13, 4 )

Step-by-step explanation:

Given the 2 equations

2y - x + 5 = 0 → (1)

(10 - x)² + (y - 5)² = 10 → (2)

Rearrange (1) expressing x in terms of y by adding x to both sides

x = 2y + 5 → (3)

Substitute x = 2y + 5 into (2)

(10 - (2y + 5))² + (y - 5)² = 10, that is

(10 - 2y - 5)² + (y - 5)² = 10

(5 - 2y)² + (y - 5)² = 10 ← expand the factors using FOIL

25 - 20y + 4y² + y² - 10y + 25 = 10

5y² - 30y + 50 = 10 ( subtract 10 from both sides )

5y² - 30y + 40 = 0 ( divide through by 5 )

y² - 6y + 8 = 0 ← in standard form

(y - 2)(y - 4) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

y - 4 = 0 ⇒ y = 4

Substitute these values into (3) for corresponding values of x

y = 2 : x = 2(2) + 5 = 4 + 5 = 9 ⇒ (9, 2 )

y = 4 : x = 2(4) + 5 = 8 + 5 = 13 ⇒ (13, 4 )

Since we are not given the position of A or B in relation to each other then either of the points can represent A or B, that is

A(9, 2), B(13, 4)

OR

A(13, 4), B(9, 2)

Answer:

B

Step-by-step explanation:

15 more than A

A is the original answer so it should be the first digit.

The question asks "15 more" so it should be after the A

A+15

Answer:

3/4

Step-by-step explanation:

Step 1:  Simplify

6/8 is same as (6/2) / (8/2)

3 / 4

Answer:  3/4

Answer:

12/16, 18/24 24/32 etc.

Step-by-step explanation:

6×2/8×2=12/16, 6×3/8×3=18/24, 6×4/8×4=24/32 and so on. If you keep multiplying the numerator and denominator of the original fractions by natural numbers, the results are equivalent fractions.

Answer:

5 SHOULD BE THE ANSWER SORRY FOR ALL CAPS

Answer:

5

Step-by-step explanation:

0 is lower than 5 so your number would stay the same

Answer:

but what is the actual answer?

Step-by-step explanation:

Let's make "x" the number.

So the sum of 17 and twice a number:

17 + 2 * a number

17 + 2 * x

17 + 2x

The value of algebraic expression is,

⇒ 2x + 17

Where, x is a number.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The phrase is,

'' The sum of 17 and twice a number.''

Now, Let a number = x

So, We can formulate;

The algebraic expression is,

⇒ 17 + 2 × x

⇒ 17 + 2x

⇒ 2x + 17

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Answer: The two numbers are 33 and 14

Step-by-step explanation: We shall start by first assigning letters to unknown variables. Therefore let the two numbers be called a and b. The first clue in this question states that the sum of both a and b equals 47. That means we can write the expression;

a + b = 47.

The second clue states that their difference equals 19. This also can be expressed as follows;

a - b = 19

Now we have a pair of simultaneous equations which are

a + b = 47 ———(1)

a - b = 19 ———-(2)

We shall use the substitution method. Therefore from equation (1), make a the subject of the equation.

a = 47 - b

Next we substitute for the value of a in equation (2)

a - b = 19

47 - b - b = 19

47 -2b = 19

By collecting like terms we now have 47 - 19 = 2b

28 = 2b

Divide both sides of the equation by 2

14 = b

We can now substitute for the value of b into equation (1)

a + b = 47

a + 14 = 47

Subtract 14 from both sides of the equation

a = 33.

Therefore the two numbers are 33 and 14.

The two numbers with a sum of 47 and a difference of 19 are 33 and 14. We found this by setting up two equations based on the given information and solving for the two variables.

The sum of two numbers is 47 and the difference is 19. To find these two numbers, we can set up a system of equations and solve them. Let the numbers be x and y.

Adding both equations, we get 2x = 66, hence x = 33.

Substituting x in equation 1, we get 33 + y = 47, hence y = 47 - 33 = 14.

Therefore, the two numbers are 33 and 14.

Answer:

12 weeks

Step-by-step explanation:

If John is aiming to save $100, with $6 a week and he has already saved $28. The leftover amount to be saved is $100 - $28 = $72

In one week → $6

2 weeks → $12

3 weeks → $18

and so on..

[tex]\frac{72}{6} = 12[/tex]

John will need 12 more weeks to save a total of $100.

Answer:

-2.5<x<2.5

Step-by-step explanation:

Answer:

The far of reaching the wall

24  71

=69.70106106ft

Step-by-step explanation:

The wooden beam reaches a height of 6 meters on the wall.

To find the height of the beam on the wall, we can use trigonometry.

The given angle is 71 degrees and the length of the beam is 6 meters.

We can use the sine function to find the height. The formula is: height = length * sin(angle).

height = 6 * sin(71)

Using a calculator, we find that the height is approximately 5.753 meters.

Rounding to the nearest meter, the beam reaches a height of 6 meters on the wall.

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Answer: meters

Step-by-step explanation:

In the metric system, length is measured in meters, which is commonly used as millimeter, centimeter or decimeter.

I hope this helps

Answer: METERS AKA C

Step-by-step explanation:

Answer:

So, the slope is the number attached to the x.

In this case the slope is -2/5.

Example:  y = 5x + 3

In this case, the slope is 5 because it is the number attached to the x.

HOPE THIS HELPS :)

Answer:

Eric should order 9 boxes of programs.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Probability of buying a program for the game = 1/2

Number of people at the game = 900

Number of programs per box = 50

2. How many boxes of programs should Eric order?

Let's calculate the answer this way:

Number of programs required for the next football game = Probability of buying a program for the game * Number of people at the game

Replacing with the values given, we have:

Number of programs required for the next football game = 1/2 * 900

Number of programs required for the next football game = 450

Now, we can calculate he number of boxes, this way:

Number of boxes of programs Eric should order = Number of programs required for the next football game /Number of programs per box

Replacing with the values given, we have:

Number of boxes of programs Eric should order = 450/50

Number of boxes of programs Eric should order = 9

Answer:

225 in squared

Step-by-step explanation:

since a square has 4 equal sides you do 60/4 which is 15

then to find the area or a square you take one side and multiply it by the same number so you would do 15*15=225

Answer:

225 sq . inch

Step-by-step explanation:

Answer: It is D.

Step-by-step explanation: I have taken this quiz before!

Please give me brianliest

Answer:

Step-by-step explanation:

720

Answer:

D. 62˚

Step-by-step explanation:

Final answer:

To solve for the missing fraction in the equation blank + 1/16 = 3/2, convert 3/2 to a fraction with a denominator of 16 to give 24/16. Then, subtract 1/16 from 24/16 to get the missing fraction, which is 23/16.

Explanation:

To find the missing fraction in the equation blank + 1/16 = 3/2, we first need to express 3/2 with the same denominator as 1/16 to facilitate addition. The common denominator for 16 and 2 is 16, so we can rewrite 3/2 as 24/16 (since 3 × 8 = 24 and 2 × 8 = 16). Our equation now is blank + 1/16 = 24/16. To solve for the missing fraction (blank), we subtract 1/16 from 24/16, which gives us 23/16.

Example:

Rewrite 3/2 as 24/16

Subtract 1/16 from 24/16 to find the missing number

The missing fraction is 23/16

This method demonstrates how to find a missing fraction by creating a common denominator and then subtracting to isolate the missing number.

Answer:

x=0

Step-by-step explanation:

Answer: x= infinite solutions

there are infinite solutions and when graphing it shows you that they are together they are infinte solutions

Step-by-step explanation:

15(x-3)/5=3(2x-3)

15(x-3)/5=6x-9

*5             *5

15(x-3)=30x-45

15x-45=30x-45

-15x      -15x

-45=15x-45+45

+45

0=15x

0/15=x

0=x

Answer:

42x-27

Step-by-step explanation:

7(6x-4)+1 is your original expression. Distribute to get 42x - 28 + 1. Combine like terms and add 1 to -28, which is -27. So, 42x-27 is your answer.

The value of the expression is 9/16 and the expression in its simplest form is 42x-27

An expression is combination of variables, numbers and operators.

The given expression is  7(6x – 4) + 1

We need to simplify it.

In the given expression x is the variable

Plus and minus are operators of addition and subtraction.

7(6x – 4) + 1

Distribute the 7 through the parentheses.

42x-28+1

Add the like terms

42x-27

The expression in its simplest form is 42x-27

42x=27

Divide both sides by 42

x=27/42=9/16

Hence, the value of the expression is 9/16 and the expression in its simplest form is 42x-27

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To find the time when the lizard is back on the water, set the height equation equal to zero and solve for t. The lizard is back on the water 1/2 second after jumping.

To find the time when the lizard is back on the water, we need to set the height, h, equal to zero, and solve for t in the given equation, h = -12t^2 + 6t.

Substitute 0 for h:

0 = -12t^2 + 6t

Now we can solve for t. Rearrange the equation to quadratic form:

12t^2 - 6t = 0

Factor out a common factor of 6t:

6t(2t - 1) = 0

Set each factor equal to zero:

t = 0 or 2t - 1 = 0

If t = 0, it means the lizard is on the water at the time it jumps. Therefore, t = 0 is not the solution we're looking for. If 2t - 1 = 0, solving for t:

2t = 1

t = 1/2

Therefore, the lizard is back on the water 1/2 second after jumping.

You use these formulas:

Q1 - 1.5(IQR)

Q3 + 1.5(IQR)

If any numbers fall outside the range of the solutions to the above equations, then they're an outlier.

Answer: 24 units.

Step-by-step explanation: Count out how many units long AB is. AB goes from -3 to 3, for a length of 6 units.

Count out how long AC is. AC goes from 4 to -4, for a length of 8 units.

To find BC, use the Pythgorean theorem (a^2+b^2=c^2). 8^2 is 64, and 6^2 is 36. Add 64 and 36 to get 100. Then find the square root of 100, which is 10.

Add all the lengths. 6+8+10=24.

Answer:

1. 10 singles. 2. One package of 6 and 4 singles. 3. One package of 6 and one package of 4. 4. Two packages of 4 and 2 singles 5. One package of 4 and 6 singles.

Step-by-step explanation:

There are 5 ways in which 10 cookies can be sold in singly or in packages of 4 or 6.

Given that,
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies is to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Ways in which exactly 10 cookies can be sold,
= {10 cookies singly, pack of 4 cookies and 6 cookies singly, pack of 4 and pack of 6, 4 cookies singly and a pack of 6 and 2 pack of 4 and two cookies singly,}
= 5 ways

Thus, there are 5 ways in which 10 cookies can be sold in single or in packages of 4 or 6.

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Answer:

v=fa

Step-by-step explanation:

(4)(.5)=2

v=2

Given:

Ratio of white and blue paint is 2:3

Total quantity of paint is 20 litres

To find:

Quantity of blue paint to be mixed so that the ratio of white paint to blue paint becomes 1:7

Solution:

The ratio 2:3 totals 20 that is [tex]2x+3x=20\rightarrow5x=20\rightarrow x=4[/tex]

So, the quantity of white paint in the mixture is [tex]2\times4=8[/tex] and the quantity of blue paint in the mixture is [tex]3\times4=12[/tex]

Now, to get the final ratio as 1:7, Mary should have [tex]7\times8=56 \text{ litres }[/tex] of blue paint. So, she need to add [tex]56-12=44 \text{ litres}[/tex].

Therefore, Mary has to add 44 litres of blue paint to the mixture to make the ratio as 1:7.

Question:

A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters.

Sally has a storage container for the prism that has a volume of 143 cubic millimeters.

What is the difference between the volume of the prism and the volume of the storage container?

Answer:

The difference between the volume of the prism and the volume of the storage container is 21.5 cubic millimeter

Solution:

Volume of rectangular prism is given as:

[tex]volume = length \times width \times height[/tex]

From given,

[tex]length = 4\frac{1}{2} = \frac{9}{2}\ mm\\\\width = 4\frac{1}{2} = \frac{9}{2}\ mm\\\\height = 6\ mm[/tex]

Therefore,

[tex]volume = \frac{9}{2} \times \frac{9}{2} \times 6 = 121.5\ mm^3[/tex]

Sally has a storage container for the prism that has a volume of 143 cubic millimeters

What is the difference between the volume of the prism and the volume of the storage container

Difference = 143 - 121.5 = 21.5

Thus difference between the volume of the prism and the volume of the storage container is 21.5 cubic millimeter