5. What is the mean weekly salary at each company?
6. Four of the 5 employees at Company B each received a raise of $30. After the raises, how much greater is the mean salaries for company B than Company A? Explain how to slove the problem.

Answer:

20 gallons

Step-by-step explanation:

set up proportion

15/x=75/100

cross multiply

75x=1500

x=20 gallons

Answer:

[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]6k + 50.5 = 0 \\ 6k = - 50.5 \\ k = \frac{ - 50.5}{6} \\ k = - 8.4166..[/tex]

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Answer: [tex]\$18,629[/tex]

Step-by-step explanation:

Given

The unit cost is given by

[tex]C(x)=0.6x^2-168x+30,389[/tex]

find the derivative of the unit cost and equate it to zero to obtain the minimum value

[tex]C'(x)=0.6\times 2x-168\\\Rightarrow 0.6\times 2x-168=0\\\Rightarrow 1.2x=168\\\\\Rightarrow x=\dfrac{168}{1.2}\\\\\Rightarrow x=140[/tex]

Substitute 140 for [tex]x[/tex] in the cost function, we get

[tex]C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629[/tex]

No, 2 is not a  happy number because 2 can not become 1 after a series of stages in which each step 2 is replaced by the sum of its squares

Let's try to first comprehend what numbers are.

An arithmetic value that is calculated and utilized to represent a quantity is called a number. Numeral symbols, such as "3" are used in writing to represent numbers. A number system is a methodical technique to express numbers using digits or other symbols. The numerical system is a helpful collection of numbers that illustrates the number's algebraic and mathematical structure. presents an example that is typical.

Happy numbers If a number leads to 1 after a series of stages in which each step's number is replaced by the sum of its squares, it is said to be happy. For example, if we start with a happy number and keep replacing it with the sum of its squares, we eventually reach 1.

So 2 is not a  happy number.

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Answer:

3 white to 1 blue

Step-by-step explanation:

16 x 3= 48

So each 3:1

Answer: 10

Step-by-step explanation:

4 to 20 which is times by 5 so 2 times by 5 is 10

According to the compound interest formula, the population is 5 years is 422,385.

The term compound interest in math is defined as the interest calculated on the principal and the interest accumulated over the previous period.

Here we have given that the population of 210,000 people is increasing by 15% each year.

And then while looking into the given question, we have identified that the value of

interest rate = 15%

principal count = 210,000

time period = 5

Here we have to convert R as a percent to r as a decimal, then we get

=> r = R/100

=> r = 15/100

=> r = 0.15 rate per year,

Now, we have to solve the equation for A

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Apply the values on it , then we get,

[tex]A = 210,000.00(1 + \frac{0.15}{1} )^{(1)(5)}[/tex]

When we simplify this one then we get

[tex]A = 210,000.00(1 + 0.15)^5[/tex]

Therefore, the value of A is 422,385.

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∠DAC = 28°

∠BAC = 56°

PL = 20

BD =​ 31

Bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector.

An angle bisector divides an angle into equal angles. If the angle is p°, the two angles made will be (p/2)°. This angle bisector passes through the vertex of an angle.

Example: Consider an Angle ∠ABC = 90°. An angle bisector will cut it into two equal angles of 45° each.

Given, AD bisects ∠BAC

MP = 20

DC = 31

∠BAD = 28°

AD bisects ∠BAC

⇒ ∠BAD = ∠DAC

⇒ ∠DAC = 28°

∠BAC = ∠BAD + ∠DAC

∠BAC = 28° + 28°

∠BAC = 56°

Since, In a figure, sides opposite to the equal angles are also equal

∠BAD = ∠DAC

⇒ BD = DC

⇒ BD = 31

⇒ BD = 31

By the figure,

∠MAP = ∠BAD and ∠PAL = ∠DAC

⇒ ∠MAP = ∠PAL

⇒ MP = PL

⇒ PL = 20

Hence, by the above calculation the measure of ∠DAC = 28°,

∠BAC = 56°, PL = 20, BD = 31.

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The dimensions of the building are (x² - 2)(5x + 4). The result is obtained by using the expression for the dimensions.

Grouping is a specific technique used to factor polynomial equations. You can use it with quadratic equations and polynomials that have four terms. The method is slightly different.

Here is how to factor by grouping:

The area of the new high school building in a rectangular shape is 5x³ + 4x² - 10x - 8. Factor by grouping to find the dimensions!

Follow the steps on how to factor by grouping.

5x³ + 4x² - 10x - 8

= (5x³ + 4x²) - (10x - 8)

= x²(5x + 4) - 2(5x - 4)

= (x² - 2)(5x + 4)

Hence, the dimensions of the building are (x² - 2)(5x + 4).

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Answer:

31.4 m

Step-by-step explanation:

(i) Find the circumference correct to 1 decimal place.

The formula is given as:

C = 2πr

Radius = 5m

Hence,

C = 2 × π × 5m

C = 31.415926536 m

Therefore, the circumference of a circle to 1 decimal place = 31.4 m

Answer:

maybe the answers are: no, yes, yes.

Step-by-step explanation:

not too sure but I hope this helps and is right :)

i am incredibly sorry if my answers are wrong!

Answer:

A. No    B. Yes    C. Yes

Step-by-step explanation:

A. No

B. Yes

C. Yes

The total number of terms which are in the polynomial  expression  –2p³ – 3p² + 4p + 7 is 4 terms.

A polynomial expression is made up of multiple terms joined either by addition , subtraction or multiplication or division.

The given expression is

–2p³ – 3p² + 4p + 7

If we will break them down in simpler terms we will get ,

–2p³, – 3p², + 4p, + 7

Therefore, number of terms are found to be  4

The terms of an algebraic expression are referred to as the the components of that expression . An algebraic expression can have one or more terms.

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Answer:

72

Step-by-step explanation:

The area of a kite is half the product (multiplication) of the diagonals.

Each diagonal has length 12, so A = (1/2)(12)(12) = (1/2)(144) = 72.

Note:  You can also find the area by finding the areas of the 4 right triangles.  By the way, the diagonals are perpendicular, so all 4 triangles are right triangles.

Area of a small triangle:  Area = (1/2)(base)(height)  A = (1/2)(2)(6) = 6.

Area of a larger triangle:  A = (1/2)(10)(6) = 30

Total area: 2 small triangles plus 2 larger triangles A = 2(6) + 2(30) = 72

I guess it's "0.101"

The solution of the expression will be Cos(3x+x).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The solution will be calculated by using the formula:-

Cos(A+B)   = (CosA CosB  -  SinA SInB)

Cos(3x+x). = Cos 3x os x - Sin 3x Sin x

Therefore the solution of the expression will be Cos(3x+x).

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here in equation function, John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.

To create an equation, multiplying and dividing are used to separate constants and variables. In an equation, terms in various forms on each side of the equality sign are equal. John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.To create an equation, multiplying and dividing are used to separate constants and variables.

so we have,

John had paid $8.00 an hour and waits tables

Therefore,

In 29 hours, he earns -

[tex]= 40 X 8\\= 320 $[/tex]

Via tups, he earned 210.50$

So, in total he earns

[tex]= 320 + 210.50\\= 530.50 $[/tex]

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A linear graph is one whose equation is in the form y = mx + b, where m and b are constants. A quadratic graph is one whose equation is in the form y = ax^2 + bx + c, where a, b, and c are constants.

To determine if a given graph is linear, calculate the equation of the line by finding two points on the graph and plugging them into the equation y = mx + b.

For example, if the two points on the graph are (2, 3) and (5, 7), then plugging these values into the equation gives us:

y = mx + b

3 = m*2 + b

7 = m*5 + b

Solving this system of equations gives m = 2 and b = -1, so the equation of the line is y = 2x - 1.

A quadratic graph is one whose equation is in the form y = ax^2 + bx + c, where a, b, and c are constants. To determine if a given graph is quadratic, calculate the equation of the parabola by finding three points on the graph and plugging them into the equation y = ax^2 + bx + c.

For example, if the points on the graph are (1, 6), (2, 13), and (3, 24), then plugging these values into the equation gives us:

y = ax^2 + bx + c

6 = a*1^2 + b*1 + c

13 = a*2^2 + b*2 + c

24 = a*3^2 + b*3 + c

Solving this system of equations gives a = 4, b = -5, and c = 6, so the equation of the parabola is y = 4x^2 - 5x + 6.

An exponential graph is one whose equation is in the form y = a*b^x, where a and b are constants. To determine if a given graph is exponential, calculate the equation of the line by finding two points on the graph and plugging them into the equation y = a*b^x.

For example, if the two points on the graph are (2, 16) and (3, 24), then plugging these values into the equation gives us:

y = a*b^x

16 = a*b^2

24 = a*b^3

Solving this system of equations gives a = 2 and b = 2, so the equation of the line is y = 2*2^x.

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The missing angle of a triangle where only the measure of all sides are given can be calculated by using the Cosine Law .

What is Law Of Cosine ?

The law of cosine is also known as Cosine Rule. This law is useful in finding  the missing information of  any triangle.

For example, if you know the lengths of three sides of a triangle , this rule helps to find the angle between the two sides of the triangle.

Let a , b and c be the sides of the triangle and let A , B and C be the angle corresponding to the respective sides .

Then by the Cosine Law the angles are represented as : [tex]CosA = \frac{b^{2} +c^{2} -a^{2} }{2bc}[/tex] ;

[tex]CosB = \frac{c^{2} +a^{2} -b^{2} }{2ac}[/tex] ; [tex]CosC = \frac{a^{2} +b^{2} -c^{2} }{2ab}[/tex] .

Therefore , The Law Of Cosines is used to find the missing angle .

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Answer: D

Step-by-step explanation:

Answer:

It would be answer c.

Step-by-step explanation:

When elevation is higher, there is less air pressure, which causes air molecules to spread out, and when its spreads out temperature decreases.

At a lower altitude, it is more humid because air molecules are more compact, which causes the temperature to be warmer, so the answer is c.

[tex]2(q+p)=1+5q\implies 2q+2p=1+5q\implies 2q+2p-5q=1 \\\\\\ 2q-5q=1-2p\implies q(2-5)=1-2p\implies -3q=-2p+1 \\\\\\ q=\cfrac{-2p + 1}{-3}\implies q=\cfrac{2}{3}p-\cfrac{1}{3}[/tex]

Answer:

Step-by-step explanation: 2(q+p)=1+5q

2q+2p=1+5q

2q-5q=1-2p

-3q=1-2p/:(-3)

q=-1/3+2/3 p

Answer:

i think 45 but im not to sure

Step-by-step explanation:

Answer:

c i think or it might be a

Step-by-step explanation:

Answer:

129

Step-by-step explanation:

The average rate of driving from Newyork to Boston is d. 54 mph.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The distance you drive is proportional to the time.

We know, The arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.

Therefore,

The average rate of driving is,

= (216/4) mph.

= 54 mph.

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Answer:

G

Step-by-step explanation:

The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)

opt G. (-4,-2)

I don't know...

600 g flour is needed to make the recipe which needs 150 g flour for 3 people, for 6 people.

Given that a recipe for 3 people uses 150 g of flour.

We know that the relation between quantity of flour and number of people for whom recipe will be prepared is directly proportional.

So if the number of people will increase so the quantity of flour will be needed more.

The flour needed to make the recipe for 1 people is = 150/3 = 50 g.

The flour needed to make the recipe for 6 people will be = 50 * 6 = 300 g.

Hence 600 g flour is needed to make the same recipe for 6 people.

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Of the part, the whole, and the percent, a. the exact number of students that are athletes is unknown to Ms. Morgan, which is 36, and b. the total strength of the students is unknown to Mr. Gregory which is 180.

Here we need to know 3 things- the total no. of students each teacher has, the percentage of athletes, and no. of students that are athletes.

a)

As we can see in the case of Ms. Morgan, we know the total strength of the students and the percentage of the students that are Athletes. Hence what we don't know here is the exact number of students that are athletes.

Hence we need to find 30% of 120

= 30/100 X 120

= 36 students.

b)

Here, in Mr. Gregory's case, we know the percentage and the actual number of students that are athletes. Hence, here we don't know the total strength of the students Mr. Gregory has.

Total strength = no. of athletes X 100/percent of athletes

= 27 X 100/15

= 180 students.

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Complete Question

Ms. Morgan is a science teacher. She found that 30% of her 120 students are athletes. Mr. Gregory is a math teacher. He found that 27, or 15%, of his students, are athletes. a. Of the part, the whole, and the percent, which information is still unknown to Ms. Morgan? Find this unknown value. b. Of the part, the whole, and the percent, which information is still unknown to Mr. Gregory? Find this unknown value.

Answer:

13.8 square feet

Step-by-step explanation:

To find the area of a triangle you use the formula a = 1/2 bh

a = 1/2 (6.9) (4) = 13.8

(simplier to understand) a = 1/2 (6.9) (4) = 27.6 divided by 1/2 = 13.8