The area of the rectangle ABCD is 28[tex]cm^{2}[/tex]

a) What is the length of side AB in terms of x?

length of AB = (Answer here) (1)

b) If the area of rectangle ABCD is 28[tex]cm^{2}[/tex], we can show that [tex]x^{2}[/tex] + ax = b where a and b are integer values.

Work out the values of a and b.

a = (Answer here) (1) b = (Answer here) (1)

Answer: y = (1/2)x + 8

Step-by-step explanation:

Slope: (4-7)/(-8--2) = (-3)/(-6) = 1/2

y = (1/2)x + b

7 = (1/2)-2 + b

7 = -1 + b

8 = b

y = (1/2)x + 8

The expressions that show the distance between P and Q are option (d) |-6| + (-2) and option (e) 6 - 2

From the given number line

The distance between P and Q = 4 units

Now we have to solve each expression

Expression 1

|-6| + |-2| = 6 +2

Add the terms

= 8

Expression 2

|2-(-6)| = | 2 + 6|

= |8|

= 8

Expression 3

|-2| - (-6) = 2 + 6

Add the terms

= 8

Expression 4

|-6| + (-2) = 6 - 2

Subtract the term

= 4

Expression 5

6 - 2 = 4

Hence, the expressions that show the distance between -6 and -2 are option (d) |-6| + (-2) and option (e) 6 - 2

Learn more about distance here

brainly.com/question/17941957

#SPJ1

Answer:

it depends on how long long is

The unit of price per oz = 114.2

According to our question-

the price of a 2 liter bottle of sprite holds 67.6 oz

and costs $3.38.

2 = 67.6

67.6/2= 33.8

33.8*3.38= 114.24

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

Answer:

45/20

Step-by-step explanation:

Answer:

9/4 divided by 6/5 is 15/8

Step-by-step explanation:

9/4 ÷ 6/5 turns into 9/4 × 5/6 which is the reciprocal

9/4 × 5/6 = 45/24

Divide the numerator and denominator by 3 to get 15/8

15/8 is in its simplest form

The domain of the given function is {1, 2, 3, 4, 5} which represents she sells t-shirts.

The domain of a set of ordered pairs includes all possible x values of a function, and the range includes all possible y values of a set of ordered pairs.

We have been given that Sasha sells t-shirts. Each day she earns a set amount, plus a commission.

The domain of the given function represents she sells t-shirts.

According to the given table, the required domain will be as:

The domain of the given function = {1, 2, 3, 4, 5}.

Therefore, the domain of the given function is {1, 2, 3, 4, 5}.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

The vertical asymptote is x=2 and horizontal asymptote is y = 0

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity.

There are three types is asymptotes:

Horizontal asymptote , Vertical asymptote and oblique asymptote.

in the expression 1/x-2, the horizontal asymptote is y=0 since the power of x in the numerator is less than that of denominator.

And the vertical asymptote is found by equation the denominator to zero

therefore x-2= 0

x= 2

learn more about asymptote from

https://brainly.com/question/4138300

#SPJ1

The expression for the given case can be written as  F = P - 1.2n.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The addition and subtraction can only take place between like terms.

Given that,

The penalty for an ice skater for a fall is 1.2 points.

Suppose the total points of ice skater be P, the number of falls be n and the final score be F.

Then  following expression can be written for final score,

F = P - 1.2n

Hence, the expression for ice skater's final score is F = P - 1.2n.

To know more about algebraic expression click on the following link,

brainly.com/question/953809

#SPJ1

Answer:

$2825,32

Step-by-step explanation:

Value of the car after 1 year

$3000 * 3% = 3000 * 0.03 = 90

3000 - 90 = $2910

Value of the car after 2 year

$2910 * 3% = 2910 * 0.03 = 87.3

2910 - 87.3 = $2912,7

Value of the car after 3 year

$2912,7 * 3% = 2912,7 * 0.03 = 87.381

2912,7 - 87.381 = $2825,319

"Round to the nearest cent"

$2825,32

The smaller number is 9 and the larger number is 18.

According to the question,

We have the following information:

A number is 2 times another number. If the larger number is increased by 14, the result is 4 less than 4 times the smaller number.

Now, let's take the larger number to be x and the smaller number to be y.

So, we have the following expressions:

x = 2y ...(1)

x+14 = 4y-4

Putting the values of x from the equation 1:

2y+14 = 4y-4

Adding 4 to both sides of the equation:

2y+14+4 = 4y

2y+18 = 4y

Subtracting 2y from both sides of the equation:

18 = 4y-2y

18 = 2y

Dividing by 2 on both sides:

y = 18/2

y = 9

Now, putting this value in equation 1:

x = 2y

x = 2*9

x = 18

Hence, the smaller number is 9 and the larger number is 18.

To know more about number here

https://brainly.com/question/17429689

#SPJ1

This week 41 students showed up to the archery class that cannot be broken into multiple groups of equal sizes.

Prime numbers are numbers that cannot be divisible by any other numbers besides 1 and itself. Between 30 and 50, there are 4 prime numbers, which are 31, 37, 41, and 43. So, these prime numbers cannot be divided into equal sizes of multiple groups. But by adding 2 (If Betty and Wilma join the students) in 31, 37, and 43 we get composite numbers that can be divided into multiple groups of equal sizes.

So, 41 students showed up to the archery class this week and as 41 is a prime number, Betty and Wilma could not break the archers up into groups of equal size, and even if Betty and Wilma joined the students there will be 43 archers which even is a prime number and thus cannot be divided.

41 is the only possible number of students between 30 and 50 which cannot be broken into groups of equal sizes even if Betty and Wilma join the archers.

To learn more about prime numbers,

brainly.com/question/11799672

#SPJ4

Answer:

the three dots represent 'therefore'

Step-by-step explanation:

as shown in picture uploaded ^^

The graph of this line using the slope and y-intercept: y= 1/5x + 8 is attached below.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

According to the given information line using the slope and y-intercept is; y= 1/5x + 8

thus, the slope of this line is:

m = 1/5

And its y-intercept is: c= 8

The graph of this line using the slope and y-intercept: y= 1/5x + 8 is attached below.

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ1

Answer: 6.2

Step-by-step explanation:

Geometric Mean = √( 2 x 19 ) = 2√38 = 6.1644

Answer:

Step-by-step explanation:

20? lol

Answer:h

Step-by-step explanation:

ihlug

Answer:

y=3x+1

Step-by-step explanation:

we know slope so just fill in the rest

y=3x

-2=3(-1)

-2=-3

We add 1 to make the equation true so the y intercept is 1

Hopes this helps please mark brainliest

Answer:

Hi !!!

Step-by-step explanation:

6.2×(-2.7)

=-16.74

= -1.674×10¹

rate as brainliest

The scale that Wyatt has made use of based on the figures in the question is 1 inch to 0.36 yards.

Building construction would be extremely challenging without a blueprint. You'd be lost without a map! Large objects, such as roads and buildings, can be easily visualized on paper using scale drawings. Scale drawings are even used by a GPS

The scale that Wyatt has used for this drawing is given as:

84 / 231 = 0.36

We would say that for every 1 inch, Wyatt made use of 0.36yards.

Read more on scales here;https://brainly.com/question/22610636

#SPJ1

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

https://brainly.com/question/1216161

#SPJ4

Answer:

b)1.39

Step-by-step explanation:

i got it right on test

Answer:

other base = 16.3 yds

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the parallel bases b₁ and b₂

given b₁ = 7 , h = 12 and A = 139.8 , then

[tex]\frac{1}{2}[/tex] × 12 × (7 + b₂ ) = 139.8

6(7 + b₂ ) = 139.8 ( divide both sides by 6 )

7 + b₂ = 23.3 ( subtract 7 from both sides )

b₂ = 16.3

the length of the other base is 16.3 yards

The perimeter of the rectangle is =  48cm

Acc to our question-

Hence,The perimeter of the rectangle is =  48cm.

learn more about  permeter of rectangle click here:

https://brainly.com/question/10452031

#SPJ13

Answer: Around 40 pages

Step-by-step explanation: Im not sure if this is the answer but from what I can do this would be the answer

Answer:

she will read 22 pages :)

Step-by-step explanation:

A 99% confidence interval for the proportion of all credit card holders who pay all their credit card bills in full each month is 0.282 + 0.055.

Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications. The sample is used to calculate the confidence interval, which represents the range of likely population parameters. In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.

Given,

Number of credit card holders

n = 450

x = 127

p = 127/450

Proportion:

p = 0.2822

99% confidence interval:

C I = 0.2822 ± 2.576 × 0.2122

CI = 0.2822 ± 0.05465

CI = 0.282 + 0.055

A 99% confidence interval for the proportion of all credit card holders who pay all their credit card bills in full each month is 0.282 + 0.055.

To learn more about confidence interval, visit:

https://brainly.com/question/24131141

#SPJ4

Answer: The probability is 3 out of 20

Step-by-step explanation:

The remaining credit after 81 minutes of calls is $17.04.

Given that, the remaining credit after 44 minutes of calls is $22.96, and the remaining credit after 68 minutes of calls is $19.12.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Let x be the number of minutes and y be the number of dollars.

According to question, the ordered pair is

(44, 22.96) and (68, 19.12)

The point slope form is (y-y1)=m(x-x1)

Slope = (y2-y1)/(x2-x1)

= (19.12-22.96)/(68-44)

= -3.84/24

m= -0.16

Put m= -0.16 and (x1, y1)=(44, 22.96), we get

(y-22.96)=-0.16(x-44)

When x=81

y-22.96=-0.16(81-44)

⇒ y-22.96=-0.16×37

⇒ y-22.96=-0.16×37

⇒ y-22.96=-5.92

⇒ y=-5.92+22.96

⇒ y=17.04

Therefore, the remaining credit after 81 minutes of calls is $17.04.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Answer:

Step-by-step explanation:

2x + 3 = 4x - 5

4x - 5 = 2x + 3

Step 1 : Add 5 on both sides.

4x = 2x + 3 + 5

4x = 2x + 8

Step 2 : Subtract 2x on both sides.

4x - 2x = 8

2x = 8

Step 3 : Divide 2 on both sides.

x = 8/2

x = 4

Hence proved.

Answer:

Collect like terms

3+5=4x-2x

(note that when - crosses a line it turns to +

8=2x

8/2=2x/2

x=4

Answer:

a) He didn't add 2.

b) 38/3

Answer:

The measure of its supplementary angle is 18.6 degrees

Step-by-step explanation:

A Supplementary angle is any two angles that sum up to 180 degrees

With this in mind we can subtract 180 - 161.4 to get the measure of the other angle.

Since 161.4 + 18.6 = 180 this is correct

Answer: The supplementary angle to 161.4 degrees is 18.6 degrees.

Step-by-step explanation: the sum of two supplementary angles is always 180 degrees.

180-161.4 is equal to 18.6 degrees.