determine the average rate of change, in mph, from 2 to 4 hours on the graph shown below

a) To calculate the overall mean, you must take the total wages divided by the total number of workers. What Stacy is doing is calculating the average of the means, which is incorrect as both the total wages and the quantity of workers are both different (or she's just using the wrong method of calculation)

b) First, we find the total wages of the 56 workers : 42 x 9.5 + 14 x 13.5 = 588 (pounds)

So, the overall mean is : 588 : 56 = 10.5 (pounds/h)

Answer:

£ 10.50

Step-by-step explanation:

a) Stacy is wrong because she found the mean of the £9.50 and £13.50. She has to find the mean of wage of 42 packers and wage of 14 truck drivers.

[tex]\sf b) Overall \ mean \ wage = \dfrac{sum \ of \ wages \ of \ 42 \ packers+ Sum \ of \ wages \ of \ 14 \ truckers}{number \ of \ packers + numbers \ of \ truck \ drivers}[/tex]

Sum of wages of 42 packers = 42 * 9.50

                                                = £ 399

Sum of wages of 14 truck drivers = 14 * 13.50

                                                       = £ 189

[tex]\sf Overall \ mean \ wage = \dfrac{399+189}{42+14}\\\\[/tex]

                            [tex]\sf = \dfrac{588}{56}\\\\[/tex]

                            = £ 10.50

Answer:

y=x+4

Step-by-step explanation:

The slope of the line is [tex]\frac{3-4}{-1-0}=1[/tex].

Since the y-intercept is 4, the equation is y=x+4.

Answer:

61

Step-by-step explanation:

100+380+6(54)=804

804-500=304

304/5=60.8

Round answer to 61 because 60 is too little and will not meet the budget

The true statement about the expressions is (d) None of these

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

From the list of options, the given parameters are

(a) 2 − √6 + 2 (b) 52 − 3 + 1 (c)√1

For an expression to be a polynomial, the expression must have variables, coefficients and operators

None of the given expressions have variables, coefficients and operators.

This means that the expressions are not polynomial

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Answer: 0.004

Step-by-step explanation:

The value of z in this convex polygon is equal to 66°

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides.

Note: The number of sides (n) of a pentagon is 5.

In Geometry, the sum of all the interior angles of a polygon with "n" sides is given by this formula:

Interior angle = 180 × (n - 2)

Interior angle = 180 × (5 - 2)

Interior angle = 180 × 3

Interior angle = 540°.

Now, we can determine the value of z as follows:

(180° - 2z) + (180° - z) + 130° + 108° + 140° = 540°

3z - 378° = 540° - 360°

3z = 378° - 180°

3z = 198°

z = 198°/3

z = 66°

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Answer:

Find the probability of pulling a red card out of a standard deck of cards

Step-by-step explanation:

So, the probability of drawing a red-faced card is 6 out of 52 cards. Thus, the probability of drawing a red face card from a deck of cards is 6/52 = 3/26.

A standard deck of playing card consists 52 cards.

Cards is splitted into 4 suit i.e. Hearts, Spades, Diamond and Clubs.

Each suits consists of 13 cards - the Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, King and Queen.

Hearts & Diamond are red cards and Spades and Clubs are black cards.

Probably = Number of favourable/Possible outcomes/ Total outcomes.

Probability of pulling a red card = 26/ 52 = 0.5

Thus, probability of pulling a red card is 0.5.

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Answer:

A is translation because it's being moved to the right to get a'b'

b is reflection because you would reflect over the x-axis \

C is rotation

Picture A represents the translation, the picture represents the reflection, and picture C represents the rotation.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The lines are shown in the picture.

As we know from the definition of the geometric transformation, geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

From the picture,

Picture A, which is being moved to the right to obtain A'B', serves as a representation of the translation.

Because you would reflect over the x-axis, Picture A represents reflection.

Image A illustrates rotation.

Thus, picture A represents the translation, the picture represents the reflection, and picture C represents the rotation.

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The linear function modelling the daily inventory in t days after August 31 is given by:

I(t) = 110 - 22t.

Using the given function, they must restock the store on September 3.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

In the context of this problem, we have that:

Thus the model is given as follows:

I(t) = 110 - 22t.

They must have at least 25 phones in stock at all times, hence:

I(t) >= 25

110 - 22t >= 25

22t <= 85

t <= 85/22

t <= 3.86.

Rounding down, as after 4 days they would have less than 25 phones, they must restock the store on September 3, which is 3 days after August 31.

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Answer:

15

Step-by-step explanation:

Mel's Age = x

Rahfat's Age = x-3

Aurelio's Age = 2x

2x + x +x -3 = 57

4x -3 = 57

4x = 60

x = 15

The slope of the line shown in this graph is equal to 3/5 or 0.6

A pitch is also referred to as slope and it can be defined as the ratio of the vertical distance (rise) measured to the horizontal distance (run) measured.

Mathematically, the pitch (slope) of a geometric figure or line can be calculated by using this formula:

Pitch (slope) = V/H

Where:

Based on the given graph, we would select the following points:

Rise = 6, 0

Run = 10, 0

Substituting the selected points into the formula, we have;

Pitch (slope) = (6 - 0)/(10 - 0)

Pitch (slope) = 6/10

Pitch (slope) = 3/5 or 0.6

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Complete Question:

The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.

To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.

Answer: Part A

Answers will vary. The sample answers throughout this Lesson Activity assume the points chosen are (0, 0) and (5, 3).

Part B (Answer)
Between the points (0, 0) and (5, 3), there is a rise of 3 units and a run of 5 units.  
Part C ( Answer)
Between the points (0, 0) and (5, 3), the rise is 3 and the run is 5. The slope is the ratio of rise to run. Therefore, the slope of the line is 3/5.

Step-by-step explanation:

Questions
Part A - To calculate slope, you need two points. Choose two points on the line.

Part B - To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.

Part C

Using the rise and run from part B, what is the slope of the line?

The value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18

As per the question statement, we are supposed to find the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true.

The solution is given below:

72 + k = 54, subtracting 72 from both sides

k = 54 - 72

k = -18

Therefore the value of "k" in the following equation 72 + k = 54 for which the given linear equation is true is k = -18

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Writing 4.1012 in words will be represented as D. four point one zero one two.

It should be noted that writing in words simply means spelling or calling out of the numbers that are given.

Based on the information, it should be noted that (.) is illustrated as a point when calling out the decimal numbers. Other values include:

4 = four

1 = one

0 = zero

2 = two

Therefore, based on the illustration, the correct option is D.

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Answer:

B

Step-by-step explanation:

he's wrong

The equation or tape diagram could be used to represent the context if x represents the number of miles in the taxi ride is A. 29.95 - 1.2 / 1.25 = x

From the information, Houa took a taxi from her house to the airport and the taxi company charged a pick-up fee of $1.20 plus $1.25 per mile. The total fare was $29.95,

Let the number of miles be represented by x.

Therefore, the information will be illustrated by:

1.20 + 1.25(x) = 29.95

1.20 + 1.25x = 29.25

Make x the subject

1.25x = 29.25 - 1.20

x = 29.25 - 1.20 / 1.25

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Answer:

Step-by-step explanation:

whoops, does anyone know how to delete an answer?

Answer: bigger angle=64 smaller angle=26

Step-by-step explanation:

1. set up an equation

because the bigger angle is 14 less than 3 times the measurement of the smaller angle we can call the smaller angle x and the bigger angle 3x-14 knowing complementary angles are 90 degrees you can set up the following:x+3x-14=90

3.solve the equation

x+3x-14=90

4x-14=90 | combine like terms

4x=104 | add 14 on both sides

x=26 | divide by 4 on both sides

4. plug x in to your angle measures

1(26)=26

3(26)-14

78-14

64

Answer:

Step-by-step explanation:

We know that the cost of the meal is $40 and the tip is the 10%.

And we must find the total cost.

The total cost will be we cost of the meal plus the tip.

Now, we must find the cost of the tip.

Since the tip is the 10% we must multiply the cost of the meal by 10%. (We can represent 10% as 0.1)

Then, the total cost is

Finally, the total cost of the meal is $44.

Answer:

[(2, 8),(3, 7),(4, 6)]

Graph the equation like normal.

Use the procedures explained below to answer the next question.

Step-by-step explanation:

To obtain 3 points, choose any values for x and substitute into the equation for corresponding values of y. To make this easier, I'm going to use function notation instead. But, this works the same using slope-intercept form.

[tex]f(x)=-x+10\\f(2)=-2+10=8 \rightarrow (2,8)\\f(3)=-3+10=7 \rightarrow (3,7)\\f(4)=-4+10=6\rightarrow(4,6)[/tex]

All I did was substitute three different values of x, to get the corresponding values for y.

So, the three points that are on the line are (2, 8), (3, 7), and (4, 6). Now, you can graph the equation as you normally would.

As shown in the attached screenshot, the three points that we found are correctly on the graphed line.

Use the same procedures to answer the next question.

The value which the four digit number is divisible by 5 is 608

What is Divisibility?

By looking at the digits of an integer, a divisibility rule can be used to quickly and conveniently determine if it can be divided by a specific number.

The given four-digit number is divisible by 5:

3040

To find the value from which the four digit number is divisible by 5

3040 ÷ 5

= 3040/5

= 608

Hence, The value of the be so that this four-digit number is divisible by 5 is 608

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The difference in elevation between the bottom of the canyon and the birds nest is 679.8 feet.

What is a numerical expression ?

A numerical expression is an statement written in form of numbers with mathematical operations.

According to the given question

A bird flies from the bottom of a canyon that is59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level.

59 1/5 feet

(59×5 + 1)/5

59.2 feet

Let assume that the sea level is at 0 feet.

= (620×5 + 3)/5

= 620.6 feet.

From the given data we write an expression which is the difference in elevation between the bottom of the canyon and the bird nest is

( 620.6 ) - ( -59.2 ) feet

=  620.6 + 59.2 feet

= 679.8 feet.

Hence, The elevation difference between the birds' nest and the canyon's base is 679.8 feet.

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Answer:  x=12-3y

Step-by-step explanation:

Answer:

7 hours 30 minutes and 0 Seconds

Step-by-step explanation:

The new value of gold was $1859 per ounce.

How to calculate profit amount?

Finding profit is simple using this formula: Total Revenue - Total Expenses = Profit.

Price in which Melissa bought gold per ounce = $1,430

Given that, Melissa sell it when the gold price is 30% more than when she purchased it.

Price in which Melissa sell gold per ounce =  $ 1,430 + 1,430×30%

                                                                      =  $ 1,430 + 1,430×[tex]\frac{30}{100}[/tex]

                                                                      =  $ 1,430 + 429

                                                                      =  $ 1,859

Hence, the new value of gold was $1859 per ounce.

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Answer:

a = -2

b = -3

c = 2

Step-by-step explanation:

a*b = 6     {The product of a and b is 6]

a*c = -4     [The product of a and c is -4]

b*c = -6     [The product of b and c is -6]

-  Rearrange:

 1)   a*c = -4 to a = (-4/c)

 2)  b*c = -6 to b = (-6/c)

Now substitute:

a*b = 6

(-4/c)*(-6/c) = 6

(24/c^2) = 6

c^2 = (24/6)

c^2 = 4

c = 2

use this value of c to find a and b:

a = (-4/c)

a = (-4/2)

a = -2

b = (-6/c)

b = (-6/2)

b = -3

The distance from the car to the gate to magic kingdom is 1 1/12 miles.

From the information given, it was stated that get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a tram for 1/3 their total distance and take a monorail for 1/2.

Therefore, the distance from the car to the gate to magic kingdom based on the information will be the addition of the fractions given. This will be:

= 1/3 + 1/2 + 1/4

= 4/12 + 6/12 + 3/12

= 13/12

= 1 1/12

The distance is 1 1/12 miles.

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