regal furniture company allocates its indirect salaries of $22,500 on the basis of sales. Determine the indirect salaries allocated to Departments 1 and 2 using the following information.

​

Step-by-step explanation:

-2 is x1

9 is y1

4 is X2

-1 is y2

m= -1-9/4-(-2)

-10/6 =-1.6

Answer:

C. 2.0200200002....

Step-by-step explanation:

It goes on forever!

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Answer:

Autobiographies and memoirs. Diaries, personal letters, and correspondence. Interviews, surveys, and fieldwork. Internet communications on email, blogs, listservs, and newsgroups. Photographs, drawings, and posters. Works of art and literature. Books, magazine and newspaper articles and ads published at the time. Public opinion polls. Speeches and oral histories

1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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Answer:

20-39 => 2

40-59 => 1

60-79 => 1

80-99 => 6

100-119 => 5

Answer: 2, 1, 1, 6, 5

Step-by-step explanation:

20-39

2 | 3

3 | 9

40-59

5 | 0

60-79

7 | 5

80-99

8 | 1 2 4

9 | 3 9 9

100-119

10 | 1 1 5 6

11 | 1

The percent of total inventory is Apple, rounded to the nearest tenth of a percent is 15.0%

How do we determine the percentage of claims in Apple?

Out of the total claims of 4,280 items in inventory, the number of claims in Apple is determined as the total claims minus the number of claims attributable to IBM, such that the percentage of total inventory in Apple is computed as the number Apple's claims divided by total claims

number of claims in Apple=total claims-number of claims in IBM

total claims=4,280

number of claims in IBM=3636

number of claims in Apple=4280-3636

number of claims in Apple=644

% of claims in Apple=number of claims in Apple/total claims

% of claims in Apple=644/4280

% of claims in Apple=15.0%(rounded to 1 decimal place as shown in the options provided)

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Answer:

\(y - 4 = - 3(x - 2)\)

The correct answer is C. Kelli put 6 red marbles and 5 blue marbles in a bag. The probability of selecting a red marble is 6 /11

Explanation:

Theoretical probability occurs as you calculate the probability of a specific outcome in a situation, without experimenting or observing it. Because of this, the probability is theoretical rather than experimental. Also, you can know this, if you divide the number of specific favorable outcomes by the total of possible outcomes.

Option C shows a theoretical probability because this is the only case the probability has not been observed or experimented. Also, expressing the probability as 6/11 is completely correct because 6 is the total of red marbles(possible desired outcomes), while 11 is the total marbles (possible outcomes).

Answer:

Part 1: 31x+25=180

part 2: x=5

Step-by-step explanation:

there are 180° on a straight line, which is the base/ bottom line of the traingle (indicated by the arrow on the end).

so, 180-151= 29

29° is the third angle on the traingle.

now, there are 180° in a triangle, therefore to find an equation for x:

29+20x-3+11x-1= 180 (adding up all the angles and making it equal to 180°)

now simplify this equation to get:

31x+25=180 (PART 1)

to find x simply solve the equation:

31x=180-25

31x= 155

x= 155/31

x=5 (PART 2)

Only 3 and 9 are both the subset of odd numbers and the subset of multiples of 3.

The elements that belong to both the subset of odd numbers and the subset of multiples of 3 in set are 3 and 9.

To find the numbers that are elements in both the subset of odd numbers and the subset of multiples of 3 in set , we need to identify the numbers that satisfy both conditions.

Subset of odd numbers in set : {1, 3, 5, 7, 9}

Subset of multiples of 3 in set : {3, 6, 9}

Now, let's find the numbers that appear in both subsets:

The numbers that are both odd and multiples of 3 in set are: 3 and 9.

Therefore, the elements that belong to both the subset of odd numbers and the subset of multiples of 3 in set are 3 and 9.

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Complete question is:

Which numbers in set = {, ,, ,, ,, ,, } are elements in both the subset of odd numbers and the subset of multiples of 3?

The criteria should be used to prove that the pair of triangles are congruent, as mentioned below.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

The angle-Side-Angle congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Hence, these above criteria should be used to prove that pair of triangle are congruent.

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Answer:

1) $15 2) 10 apples

Step-by-step explanation:

First off you would do 30 divided by 2.00 which is 15.

Then for 2 the answer is 5 because if you 10 divided by 2 which gives you five

Your welcome! :))

Answer:

Step-by-step explanation:

divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator

Answer:5

Step-by-step explanation:

5098

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

x = 15 , y = 8

Step-by-step explanation:

Since the triangles are similar, then ratio of corresponding sides are in proportion, that is

\(\frac{x}{45}\) = \(\frac{17}{51}\) = \(\frac{1}{3}\) ( cross- multiply )

3x = 45 ( divide both sides by 3 )

x = 15

---------------------------------------------

Similarly

\(\frac{y}{24}\) = \(\frac{1}{3}\) , so

3y = 24 ( divide both sides by 3 )

y = 8

Answer:

False.

Step-by-step explanation:

In this equation the first part is correct 2/5 = 0.4 but when you divide 1 by 4 you get 0.25 which is not equal to 0.5, like this:

2 / 5 = 0.4

1/4 = 0.25

But that would mean the equation would look more like this:

0.4 + 0.25 = 0.4 + 0.5

or

0.65 = 0.9

So this equation is false.

Hope this helps you!!

The integer form is + 40.

The integer form is - 25

An integer is a whole number from the set of negative, non-negative, and positive numbers.

Therefore, integers can be written without fractional components.

Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.

A deposit of 40 dollars means gain. Therefore, the integer form is + 40.

A loss of 25 pounds mean loss. Therefore, the integer form is - 25

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Just took the test, so the answer is...

D. Horizontally compressed by a factor of 1/3

\(f(x)=\frac{1}{2}sin(x)-4\) is horizontally compressed by a factor of 1/3 to get \(f(x)=\frac{1}{2}sin(3x)-4\)

Option D is correct

Note that:

If a function \(f(x)=Asin(x)\) is transformed to \(g(x)=Asin(kx)\), it means that the function f(x) is horizontally compressed by 1/k

Relating this rule to the given function \(f(x)=\frac{1}{2}sin(x)-4\)

If x is replaced with 3x, the function will become:

\(f(x)=\frac{1}{2}sin(3x)-4\)

This means that the graph of  \(f(x)=\frac{1}{2}sin(x)-4\) is horizontally compressed by a factor of 1/3 to get \(f(x)=\frac{1}{2}sin(3x)-4\)

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2. Area of the entire figure = 14f + 20 units².

Perimeter of the entire figure = 6f + 18 units².

3. D. 8.

4. 11/15

Perimeter = 2(length + width)

Area = (length)(width).

2. Decompose the shape into two rectangles, rectangle 1 and rectangle 2.

Length of rectangle 1 = f

Width of rectangle 1 = 4

Area of rectangle 1 = (f)(4) = 4f units²

Length of rectangle 2 = 2f + 4

Width of rectangle 2 = 5

Area of rectangle 2 = (2f + 4)(5) = 10f + 20 units²

Area of the entire figure = 4f + 10f + 20

Area of the entire figure = 14f + 20 units².

Perimeter of the entire figure = 2f + 4 + 5 + f + 4 + f + 2f + 5

Add like terms

Perimeter of the entire figure = 6f + 18 units².

3. A factor of 44 is any number that can divide 44 without a remainder. 8 is not a factor of 44 because it cannot divide 44 without a remainder. So, the answer is: D. 8.

4. 33/45 = (3 × 11) / (3 × 15)

= 11/15

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Answer:

660 ft³

Step-by-step explanation:

The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.

First, the triangle:

area = base * width / 2 = 12 * 10 / 2 = 60 ft²

volume = the triangle for the length

the length is 11 feet,

so we extrude that triangle for 11 feet to get

60 ft² * 11 ft = 660 ft³

we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.

another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.

this might be confusing so let me know if you have any questions!

Answer:

15

Step-by-step explanation:

√225= 15

Therefore the square root of 225 is equal to 15

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

Answer:

0

Step-by-step explanation:

The scale of the number line is by 2's. You can determine this because the number between -10 and -6 is -8. SO if you continue this pattern of increasing the number by 2, you get -6, -4, -2, then 0.

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

The answer should be 64.21 or 64

Step-by-step explanation:

Help this Helped

Answer:

the answer for your question is 82.5 ft

Step-by-step explanation:

Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.

The value of n(AxB) is mathematically given as

n(A x B)  = 18

Generally, It is possible to extend the formula for calculating the magnitude of a vector to any number of dimensions. For instance, the magnitude of a four-dimensional vector denoted by

a=(a1,a2,a3,a4) may be calculated using the following formula: a=a21+a22+a23+a24.

The question "how much of a quantity" is what's meant to be answered when one asks about magnitude.

For instance, the magnitude may be used to provide an explanation for why the speeds of a vehicle and a bicycle cannot be compared directly to one another. It is also possible to use it to describe the distance traveled by an item or the quantity of an object in terms of its magnitude. Both of these applications need the usage of magnitude.

n(A x B) = |A| x |B|

= 6 x 3

n(A x B)  = 18

Where

The product of these two values is the total number of ordered pairs that can be formed from the elements of A and B, which is 18.

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