What percent of the employees earn more than $400 per week?​

The second place player must earn 0.0467 points per game in each of the next three games to take the lead in this category.

What is PPG Statistics?

First, calculate the PPG earned by the current leader of the season.

The total points earned by the current leader amount to 2112 and he had participated in a total of 77 games.

The following formula can be used to determine the PPG earned by the current leader per game,

PPG = Total Points / Total Games

\(\implies PPG=\frac{2112}{77}\\ \implies PPG = 27.42\)  -----(1)

Now, calculate the PPG of the player who is ranked in the second place for the season.

The total number of points earned by the second place player is 2020 and he played a total of 74 games.

The second place player earned the following points per game,

PPG = Total Points / Total Games

\(\implies PPG=\frac{2020}{74}\\ \implies PPG = 27.29\)  ---(2)

The difference in score with the leading team can be found by subtracting (2) from (1),

\(\implies 27.42-27.29=0.13\)

So, to be the leading player, the second place player must obtain a lead of 0.14 points per game in the next three games if the current player plays no more games.

In such a situation, the total PPG of the player should be 27.43 and the number of games to be played is 3.

So, the number of points required to take lead can be calculated as,

PPG = Total Points / Total Games

\(\implies 27.43=P/3\)

So, the Total Points required, \(P=27.43 \times 3 =82.29\)

And, the PPG required by the second place player to score in each of the next three games is calculated as,

\(\frac{0.14}{3}=0.0467\)

Therefore, the second place player must earn 0.0467 points per game in each of the next three games to take the lead in this category.

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Answer:

6xy² + 104y²

Step-by-step explanation:

Distribute the 2y² over the two numbers in the parentheses.

The answer selections in the question seem to be typos, none exactly right.

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Answer: 6x - 12

Step-by-step explanation:

(2x - 16) + (4x + 4)

2x + 4x = 6x

-16 + 4 = -12

Answer:

Exterior angles of a triangle equals to 360.
360/3 = 120

X=120

Answer:

\(Earnings = 650\)

\(New\ Value = 5650\)

Step-by-step explanation:

Given

\(Amount = 5000\)

\(Rate = 13\%\)

Solving (a): The earnings.

This is calculated as:

\(Earnings = Amount * Rate\)

\(Earnings = 5000 * 13\%\)

\(Earnings = 650\)

Solving (b): New Value

This is calculated as:

So, we have:

\(New\ Value = Amount + Earnings\)

\(New\ Value = 5000 + 650\)

\(New\ Value = 5650\)

Answer:

the answer is 144

Answer:

144 inches

Step-by-step explanation:

There are 12 inches in 1 foot,

So 12 times 12 is 144 inches.

Answer:

\(0.04 = 4 \div 100 \)

Answer:

x = -53/8

Step-by-step explanation:

6(2x + 7) = 5x - 11 - x

12x + 42 = 5x -11 - x (Distributive property)

12x + 42 = 4x - 11 (Subtraction property)

8x + 42 = -11 (Subtraction Property)

8x = -53 (Subtraction Property)

x = -53/8

Answer:

x = -53/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

6(2x + 7) = 5x - 11 - x

Step 2: Solve for x

Answer:

$56.10

Step-by-step explanation:

$0.34 removed for every dollar

.34 x 85 = $28.9 removed

85 - 28.9 = $56.10

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Answer:

69.24

Step-by-step explanation:

i did the quiz

Answer:

68.24

Step-by-step explanation:

Answer:

18.5 in=decimal feet,

Step-by-step explanation:

1)18.5/12=18.512

2)18.512=1.542 feet

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

Step-by-step explanation:

To determine whether the water level is proportional to the number of hours passed, we need to gather data and check if the ratio of the water level to the number of hours passed is constant.

If the ratio is constant, we can say that the water level is directly proportional to the number of hours passed. If the ratio is not constant, we cannot say that the water level is proportional to the number of hours passed.

However, it is important to note that there could be many factors that affect the water level, such as the amount of rainfall, the slope of the land, the capacity of the drainage system, and so on. Therefore, it is not safe to assume that the water level is proportional to the number of hours passed without further data and analysis.

To confirm if the water level is proportional to the number of hours passed, we need to collect data on the water level at different times and see if there is a consistent relationship between the water level and the number of hours passed. We could also consider other factors that could affect the water level and try to control for them.

Answer:

Yes

Step-by-step explanation:

Yes , Is the water level proportional to the number of hours passed

This is called Direct Proportion

It may also be inverse if there is sufficient information provided

The values of  y, RS and ST are 15, 107 and 33 respectively

From the information given, we have that:

Let's assume that line RS is a line segment and T lines between R and S

We then have:
RS = ST + RT

substitute the expressions

7y + 2 = 2y + 3 + 77

Collect like terms

7y - 2y = 3 + 77 - 2

Add/ subtract like terms

5y = 75

Make 'y' the subject

y = 75/ 5

a. y = 15

b.

RS = 7y + 2 = 7 (1 5) + 2 = 107

ST = 2y + 3 = 2 ( 15) + 3 = 33

Thus, the value of  y, RS and ST are 15, 107 and 33 respectively

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The value of y in the number line is 8.

RS = 58

ST = 19

RS = 7y + 2

ST = 2y + 3

RT = 77

Therefore, the value of y can be found as follows:

S is between R and T.

Therefore,

7y + 2 + 2y + 3 = 77

7y + 2y + 5 = 77

9y = 77 - 5

9y = 72

y = 72 / 9

y = 8

Hence,

RS = 7(8) + 2 = 58

ST = 2(8) + 3 = 19

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A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.

Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.

finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.

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Answer:

-25x-45y, because if we have got + and -, so we will write minus.

Answer:

76 and 57

Step-by-step explanation:

Let's call the numbers x and y. We must make two equations, the first based on:

"The sum of two numbers is 133. " Thus:

\(x+y=133\)

and the other one based on:

" One number is 25% smaller than the other one" Thus:

\(x=0.75y\)

this means that x is 75% of y, in other words, x is 25% smaller than y.

we substitute the second equation into the first equation:

\(x+y=133\)

\(0.75y+y=133\\\)

and solve for y:

\(1.75y=133\\y=133/1.75\\y=76\)

and now that we know the value of y, we substitute it in the equation \(x=0.75y\)  to find the value of x:

\(x=0.75(76)\\x=57\)

the numbers are: 76 and 57

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

Local minimum at x = 0.

Step-by-step explanation:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

Answer:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

false

Step-by-step explanation:

you only need to reverse the sign when you are dividing by a negative number

Answer: False?

Step-by-step explanation:

Answer:

n = -24/7

Step-by-step explanation:

3 -7n = 27

-7n = 24         Subtract 3 from both sides

n = -24/7        Divided by -7 both sides

So, the answer is n = -24/7

Answer:

Below

Step-by-step explanation:

Subtract 3 from both sides of the equation THEN divide both sides of the equation by  - 7

Answer:

\(\huge\boxed{\sf 8/3\ pages}\)

Step-by-step explanation:

3 minutes = 8 pages

Dividing both sides by 3

1 minute = 8/3 pages

So, The color printer prints 8/3 pages or 2.67 pages per minute.

Hope this helped!