How would you express the area of the rectangle using the Distributive Property?

A. 5(x + 3)
B. x(3 + 5)
C. 3(x + 5)
D. 3x + 5

Answer:

(a) There is not a clear explanatory variable and response variable

(b) Please find attached the scatterplot created with Microsoft Excel

(c) There is some relationship between the total bill and tip received

(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received

(e) The correlation will remain positive, and will increase

(ii) The correlation will remain constant

(f) The correlation and r will increase marginally

Step-by-step explanation:

(a) The given parameters are;

Total      [tex]{}[/tex]             Tip

$4.50     [tex]{}[/tex]             $0.75

$5.79     [tex]{}[/tex]             $1.00

$6.25     [tex]{}[/tex]             $0.75

$4.62     [tex]{}[/tex]             $0.58

$6.35     [tex]{}[/tex]             $1.00

From the given data, the relationship between the variables are not clear as the lowest and the second highest total give the same amount as tip, the second lowest receive the lowest tip and the median value of the total and the highest value give the same value of tip

Therefore, there is not a clear explanatory variable and response variable

(b) Please find attached the scatterplot

(c) Based on the scatterplot, as the total bill increases, the response the tip increases, therefore, there is some relationship between the total bill and tip received

(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received

(e) (i)Whereby the total bill were reduced by 10% each, we have, that the correlation will remain positive, and will increase

(ii) Whereby the tip received were measured in cents rather than dollars, the correlation will remain constant

(f) When the total bill of another customer whose bill is $5.15 and tipped $0.75 is added, we have three customers out of six that give an equal tip, therefore, the correlation and r will increase marginally

Creating a linear regression model of the given data, the necessary deductions required to solve the problems posed. Hence, the solutions are as follows :

A.)

The explanatory variable is not very obvious as we have similar measured or predicted value for two different data points in the data.

B.)

The scatterplot of the relationship is attached with Total being the independent and tips being the dependent variable.

C.)

The scatter plot shows a positive association or relationship between total and tips.

D.)

The Correlation Coefficient gives the strength and direction of the relationship between two variables. Hence, 0.67 is positive and shows a fairly strong association.

E.)

A reduction in total bill by 10% would still depict an increase in the tips as based on the total bill amount.

If tips was measured in cent and not dollars, then, the the value of r will remain the same, as the unit of a variable has no effect on the correlation Coefficient.

F.)

The addition of a point with total bill of 5.15 and tip amount of 0.75 will strengthen the existing relationship. Hence, the value of R will increase slightly.

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Answer:

255 caps were sold

Step-by-step explanation:

25x+10y = 9000

25(258) + 10y = 9000

6450 + 10y = 9000

-6450 + 10y = -6450

10y = 2550

2550/10y

y = 255

Answer:

202.5 miles

Step-by-step explanation:

We find the unit rate of the mile per gallon

135/6

= 22.5

We multiply 22.5 by 9 to get the miles they can drive on 9 gallons

22.5 * 9

= 202.5

Answer:

202.5 miles

Step-by-step explanation:

135 miles  divided by 6 = 22.5 x 9 = 202.5 miles

6 gallons  divided by 6 = 1 gallon x 9 = 9 gallons

Answer:

c

Step-by-step explanation:

im smart

The graph that shows a polynomial function with an even degree is option D.

A function is a law that relates two variables, a dependent and an independent variable with each other.

The domain and range of a function is always defined, the domain is all the values that can be an input to the function and the range is all the valuess that a function can have.

A function that involves positive integer powers as exponents of a variable in an equation is called a polynomial function, like the quadratic equation,

An even degree polynomial function, represented by y = x², have graphs that either open upwards or downwards.

A function is even if, for each x in the domain of f, f (- x) = f (x).

In an even function, the graph is symetrically along y axis.

The only graph that is symmetrical along the y axis is graph D.

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Answer:

Step-by-step explanation:

6xy+31

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. x+5=20

Step-by-step explanation:

Answer:

1399205

Step-by-step explanation:

Answer:

Please read the explanied answer below.

Step-by-step explanation:

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.

Answer:

For question y=x+3

Your answer is y=(2x+1)+3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

a. very likely

b. 0 to 1

c. less than 0

Step-by-step explanation:

please mark as brainliest

Answer:

9, 16, 21, 9

Step-by-step explanation:

I hope this help and it was going in order

Answer:

165

Step-by-step explanation:

We solve the first 5

1*(10-1)=9

2*(10-2)=16

3*(10-3)=21

4*(10-4)=24

5*(10-5)= 25

and notice

when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so

You add the first 5 integer you solved up

9 16 21 24 25 = 95

and then you double it no extra 25

and then you get 165 = answer

Answer:

W=18ft

L=24ft

Step-by-step explanation:

Step one:

given data

area= 425ft^2

let the width W be =x

and the length L be =x+6

Required

Length and width

solution

Area= lenth*width

432=x*(x+6)

432=x^2+6x

x^2+6x-432=0

The roots of the quadratic equation is

x=-24-----can not be negative

x=18----correct

The dimension is

the width W =x=18ft

The length= x+6=18+6=24ft

check area= 18*24=432ft^2

Answer:

7.70%

Step-by-step explanation:

Total length of race = 5k

Actual time taken to run the race = 26 minutes

Marcos time = 28 minutes

Percentage error = difference in value / actual time × 100

= (28 - 26) / 26 × 100

= 2 / 26 × 100

= 0.077 × 100

= 7.70%

Answer:

7.7 or 7.70

Step-by-step explanation:

Step-by-step explanation:

Total length of race = 5k

Actual time taken to run the race = 26 minutes

Marcos time = 28 minutes

Percentage error = difference in value / actual time × 100

= (28 - 26) / 26 × 100

= 2 / 26 × 100

= 0.077 × 100

= 7.70%

Answer:

-4 and 9

Step-by-step explanation:

-4 + 9 = 5

-4 x 9 = -36

Answer:

what is it you need help with?

Step-by-step explanation:

What do you need help with? There is no picture attached or question

Answer:

X:Y

12:4

Just start with y=1 and work upwards giving x a value of y+8 until x is three times larger than y.

Answer:

I'm guessing -3 .....not sure though sorry ...

Answer:

[tex]-3[/tex]

Step-by-step explanation:

From the two values given, it can be found that each jump down decreases by [tex]3[/tex]. Starting from [tex]3[/tex], we need to jump down two steps to reach the blue dot. This gives us [tex]3-3(2) = -3[/tex].

Hope this helps :)

Answer:

Add more point

Step-by-step explanation:

a) 2y = -3x -8

dividing through by 2

y = -3x/2 -4

b) 2y + 3x = 6

2y = -3x +6

dividing through by 2

y = -3x/2 + 3

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Answer:

13/30

Step-by-step explanation:

2/15 x 2 = 4/30

3/10 x 3 = 9/30

4/30 + 9/30 = 13/30

Answer:

13/30

Step-by-step explanation:

2/15 = 2/15 × 2/2 = 4/30

3/10 = 3/10 × 3/3 = 9/30

4/30+9/30=13/30

Answer:

55

Step-by-step explanation:

bedcause if you add 50 and 5 then it makes yes

The number of papers checked by both becomes equal in 10 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Teacher Malone is reviewing papers in the educators' parlor. She has previously gotten done with reviewing 20 tasks and is evaluating 5 additional tasks each hour. Her showing colleague just came in to help her. He can grade at a pace of 7 tasks consistently.

Let 'x' be the number of hours and 'y' be the number of assignments. Then the equations are given as,

y = 5x + 20        ...1

y = 7x                ...2

At some point, they will be finished and will have graded the same number of papers. Then from equations 1 and 2, we have

7x = 5x + 20

7x - 5x = 20

2x = 20

x = 20 / 2

x = 10

The number of papers checked by both becomes equal in 10 hours.

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9514 1404 393

Answer:

  200 ounces

Step-by-step explanation:

Each pound is 16 ounces, so the number of ounces is ...

  (12.5 lb)(16 oz/lb) = 200 oz

The package weighs 200 ounces.

Answer:

6

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{9+14+15+x}{4}[/tex] = 11 ( multiply both sides by 4 )

38 + x = 44 ( subtract 38 from both sides )

x = 6

The number on the fourth card is 6

Answer:

The slope is -5/2 as a fraction

or -2.5 as a decimal.

Step-by-step explanation:

First we have to get it into this format y = mx + b

5x + 2y = 6 (subtract 5x on both sides)

2y = -5x + 6 (divide by 2 on both sides)

y = -5/2x + 3

The slope is -5/2 or -2.5

Hope this helps ya!!

Answer:

[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]

Step-by-step explanation:

First, we need to get the equation into the polynomial form. Add 8 to both sides:

[tex]-6x^{2} -2-3x=-8[/tex]

[tex]-6x^{2} +6-3x=0[/tex]

Rearrange the equation so that it is in standard form:

[tex]-6x^{2} -3x+6=0[/tex]

Remember the quadratic formula:

[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the coefficients of the problem when it is in standard form. In this case, [tex]a=-6[/tex], [tex]b=-3[/tex], and [tex]c=6[/tex]. Now, all we need to do is plug those into the quadratic formula.

[tex]\frac{-(-3)+/-\sqrt{(-3)^{2}-4(-6)(6)} }{2(-6)}[/tex]

Simplify:

[tex]\frac{3+/-\sqrt{153}}{-12}[/tex]

[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]

Hope this helps!

Answer:

7 1/12 bushels of sweet corn per acre of land

Step-by-step explanation:

Total bushels of sweet corn harvested this year fewer than the previous year = 21 1/4

Total acres of land used to plant = 3 acres

what is the average loss per acre?

Average loss = Total bushels of sweet corn harvested for the year / 3 acres

= 21 1/4 ÷ 3

= 85/4 ÷ 3

= 85/4 × 1/3

= 85 / 12

= 7 1/12

Average loss = 7 1/2 bushels of sweet corn per acre of land

Answer: The height of the building is 50.75 feet.

Step-by-step explanation:

The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.

For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.

The ratio will be: 5.8ft/3.2ft = 1.8125

Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:

H/28ft = 1.8125

Now we can solve this for H.

H = 1.8125*28ft = 50.75 ft

Then the height of the building is 50.75 feet.