Lee Company allocates overhead expenses to all departments on the basis of floor space (square feet) occupied by each department. The total overhead expenses for a recent year were $200,000. Department A occupied 8,000 square feet; Department B, 20,000 square feet; and Department C, 7,000 square feet. What is the overhead allocated to Department C? (Round your answer to the nearest whole dollar amount.)

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:  

First you have to figure out the total.

42+35+23= 100

So plug it in.

23/100

23%

Your answer is 23%.

Hope this helped ^-^

Step-by-step explanation:

As per the angle sum property, the interior angles that form the triangle is option

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

Angle sum property

Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.

Given,

Here we have the list of interior angles

A. 45, 45, 45*

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

E. 90,90°, 45°

F. 90, 90, 90°

Now, we have to find in which for these angle will form the tringle.

As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.

Based on these we have to verify each of the given interior angles,

A) 45 + 45 + 45 = 135

B. 60 + 60 + 60 = 180

C. 40 + 50 + 90 = 180

D. 30 + 60 + 90 = 180

E. 90 + 90 + 45 = 225

F. 90 + 90 + 90 = 270

Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.

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Answer: \(6\sqrt{6}\)

Step-by-step explanation:

\(\sqrt{12}=2\sqrt{3}\\\\\sqrt{18}=3\sqrt{2}\\\\\implies \sqrt{12} \sqrt{18}=2\sqrt{3}(3\sqrt{2}=\boxed{6\sqrt{6}}\)

The product of square root of 12 i.e.,√12 and square root of 18 i.e.,√18 is 6√6.

When two numbers has equal power then we can multiply the the numbers and the power remains same. The number in the power is called exponent and the number is called as base. In \(a^m\), \(m\) is the exponent and \(a\) is the base of the number \(a^m\).

Step-by-step explanation:

\(\sqrt{12}\)\(=\sqrt{4}\)×\(\sqrt{3}\)\(=2\)×\(\sqrt{3}\) , since the square root of 4 is 2

\(\sqrt{18}=\sqrt{2}\)×\(\sqrt{9}\)\(=\sqrt{2}\)×\(3\) , since the square root of 9 is 3

Now, \(\sqrt{12} \sqrt{18} = 2\)×\(3\)×\(\sqrt{2}\)×\(\sqrt{3}\) from above.

                       \(=6\sqrt{6}\)

Hence the product of √12 and √18  is √12√18=6√6

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Answer:

(5x²+3)(2x-7)

Step-by-step explanation:

As stated, this is a factor by grouping question: a(x+y)+b(x+y)=(x+y)(a+b)

10x³-35x²+6x-21

first, look for common factors.

-35x² and -21 have the common factor of -7

10x³and 6x have the common factor of 2x

now, rearrange the polynomial

10x³+6x-35x²-21

factor 2x out of 10x³+6x

2x(5x²+3)

factor -7 out of -35x² and -21

-7(5x²+3)

Now, the polynomial is 2x(5x²+3)-7(5x²+3)

(5x²+3) is common in both parts, so factor that out, 2x-7 would be another expression as that is left.

now, the expression is

(5x²+3)(2x-7)

Hope this helps!

Answer:

There are 16 bowls

Step-by-step explanation:

Number of bowls = x

Total grapes added = 12 x 8 = 96

The average increased by 6

So 96/6 = 16

There were 16 bowls of grapes on the table

OR

12 x 8 = 96

96/6=16

Answer:

slope = \(\frac{y2-y1}{x2-x1}\)

\(\frac{1-5}{2 - -3}\) = \(\frac{-4}{5} =-0.8\)

Step-by-step explanation:

Answer:

23.28 hours

Step-by-step explanation:

He earns 5.8 per hour of part-time work. You can find this by doing 87/15
Because we now know that he earns 5.8 per hour we can just do 135/5.8 (23.28) < this is rounding to the nearest hundreth

Answer:

I don't know thats hard um well yeah

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Answer:

43.6 has 3 significant figures.

Answer:

Step-by-step explanation:

Similar triangles have the same shape but different sizes.

A is incorrect. We don't know the length of the sides, or if it is equilateral so we can't say that fg/lm=fh/ln

B is correct. FH and LN may be different sizes but they are similar

C is correct. Since the triangles are similar the angles are similar.

D is incorrect. The triangle is the same shape, not neccesarily the same size

E is correct. See C for explanation.

Answer:

28.4707

Step-by-step explanation:

Using the two column proof, we have been able to prove that;

ΔPQR ≅ ΔTSR by AAS Congruency Postulate

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

Thus, the two column proof required is as follows;

Statement 1: PR ≅ TR

Reason 1: Given

Statement 2: ∠PQR ≅ ∠TSR

Reason 2: Given

Statement 3: ∠PRQ ≅ ∠TRS

Reason 3: Opposite angles

Statement 4: ΔPQR ≅ ΔTSR

Reason 4: AAS Congruency postulate

AAS congruency postulate is one of the 5 major triangle congruency postulates that is defined as Angle-Angle-Side. This tells us that two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

We can also say that Opposite angles are defined as the angles that are directly opposite each other where two lines cross. The intersection point in this regards is called the vertex, which is the point where the lines connect to form the angle. Opposite angles are also referred to as vertical angles

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Answer:

the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5 is 257/30 = 8 and 39/40.

Step-by-step explanation:

To find the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5, we need to first add the two summands:

4 and 2/3 + 5 and 2/5

To add these mixed numbers, we first need to find a common denominator. The least common multiple of 3 and 5 is 15.

4 and 2/3 can be written as an improper fraction with denominator 3:

4 and 2/3 = 4 x 3/3 + 2/3 = 12/3 + 2/3 = 14/3

5 and 2/5 can be written as an improper fraction with denominator 5:

5 and 2/5 = 5 x 5/5 + 2/5 = 25/5 + 2/5 = 27/5

Now we can add the two fractions with a common denominator of 15:

14/3 + 27/5 = (14 x 5)/(3 x 5) + (27 x 3)/(5 x 3) = 70/15 + 81/15 = 151/15

So, the sum of 4 and 2/3 and 5 and 2/5 is 151/15.

Now we can subtract 1 and 1/2 from this sum:

151/15 - 1 1/2

To subtract mixed numbers, we first need to convert 1 and 1/2 to an improper fraction:

1 and 1/2 = 1 x 2/2 + 1/2 = 2/2 + 1/2 = 3/2

Now we can subtract the fractions with a common denominator of 15:

151/15 - 3/2 = (151 x 2)/(15 x 2) - (3 x 15)/(2 x 15) = 302/30 - 45/30 = 257/30

Therefore, the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5 is 257/30.

Answer:

x=4

Step-by-step explanation:

hope you do well

Answer:

x = 4

Step-by-step explanation:

I'll do the first three problems (numbers 15 through 17) to get you started.

===================================================

Problem 15

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

Explanation:

We cut the diameter in half to get the radius. We can think of cutting the 14 in half to get 7, ignoring the pi while we cut in half. Then after we do that, we tack the pi back on.

In short, 14pi cuts in half to 7pi.

Then we could see that 7*pi = 7*3.14 = 21.98

The radius is about 21.98 inches.

===================================================

Problem 16

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

Explanation:

We'll plug r = 5 into the area of a circle formula.

A = pi*r^2

A = 3.14*5^2

A = 78.5 square yards approximately

===================================================

Problem 17

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

Explanation:

We'll use the formula

C = pi*d

which is the formula that ties together the circumference C with the diameter d.

Plug in the given circumference C = 12pi and isolate d

C = pi*d

12pi = pi*d

12 = d .... divided both sides by pi, which cancels out

d = 12

The diameter is 12. Your step by step picture doesn't have to be this wordy, but I'm doing this to help show that the circumference like 12pi simply has the "pi" part erased to get the diameter. This allows a reader to quickly spot the diameter if given the circumference in this form. And it also allows to go from the diameter to the exact circumference without any calculator involved.

Once you get the diameter, you cut it in half to get the radius. Half of 12 is 6, so the radius is 6 cm.

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

You could also have this as your steps

C = 2*pi*r

12pi = 2*pi*r

12 = 2r

2r = 12

r = 12/2

r = 6

which is an alternative way to see that the radius is 6 cm.

w is less than 75.

What do you mean by algebraic expression?

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

An equation that only uses algebraic expressions is known as an algebraic equation.

Any mathematical operation that involves variables, such as addition, subtraction, multiplication, or division, can have its solutions calculated using algebraic expressions.

Given expression:

\(\frac{75}{w}=\frac{150}{100}\)

⇒ w = \(\frac{75 \times 100}{150 }\)

⇒ w = 50

Convert the value of w into percentage.

w = 50 × 100 % = 500%

Therefore, w is less than 75.

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The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

Answer:

Slope = 1/5

Step-by-step explanation:

Given equation,

→ -x + 5y = 10

The slope-intercept form,

→ y = mx + b

→ slope = m

Now the slope-intercept form is,

→ -x + 5y = 10

→ 5y = x + 10

→ y = (x + 10)/5

→ [ y = (1/5)x + 2 ]

Then the required slope will be,

→ y = (1/5)x + 2

→ Slope = m = 1/5

Hence, the required slope is 1/5.

Answer:

\(\textsf{Slope}=\dfrac{1}{5}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(-x+5y=10\)

To find the slope of the given equation, use algebraic operations to isolate y.

Add x to both sides of the equation:

\(\implies -x+5y+x=10+x\)

\(\implies 5y=x+10\)

Divide both sides of the equation by 5:

\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)

\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)

\(\implies y=\dfrac{1}{5}x+2\)

The coefficient of x is the slope of the equation.

Therefore, the slope of the given equation is ¹/₅.

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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Answer:

6(x + 4)

opening brackets

=6x+24 is the answer

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

five x three is 15 and 2 times 5 is 10 add them together to get the total change.

Commitment to goals can be promoted in through:

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and

Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.

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Step-by-step explanation:

x(2x-1)+3(2x-1)

2x^2-x+6x-3

2x^2+5x-3

Answer:

2x^2+5x‒3

Step-by-step explanation:

(x+3)(2x‒1)=x(2x‒1)3(2x‒1)

=2x^2‒x+6x‒3

=2x^2+5x‒3

i hope &i wish it helps you