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Natalka [10]
3 years ago
7

He short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches

.
If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?

a0 inches
Mathematics
1 answer:
goldenfox [79]3 years ago
7 0
The sum of two adjacent sides is 11 inches, so the long sides are 9 inches. The "unknown number" must be 12.
You might be interested in
Question 1
kenny6666 [7]

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

<h3>What is an inequality?</h3>

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let y represent the number of soccer balls and x represent the number of volleyballs.

The coach can spend a maximum of $1,100, hence:

20x + 25y ≤ 1100

Also, The coach plans to order at least 50, hence:

x + y > 50

The inequality is given by 20x + 25y ≤ 1100 and x + y > 50

Find out more on inequality at: brainly.com/question/24372553

6 0
2 years ago
Is x^5 - 5x^4 + 4x^3 - 3x^2 + 2x + 1 a polynomial
vfiekz [6]

Answer:

yes

Step-by-step explanation:

Polynomial Long Division :

4.3    Polynomial Long Division

Dividing :  x5-5x4+10x3-10x2+5x-1

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     x5  -  5x4  +  10x3  -  10x2  +  5x  -  1

- divisor  * x4     x5  -  x4                

remainder      -  4x4  +  10x3  -  10x2  +  5x  -  1

- divisor  * -4x3      -  4x4  +  4x3            

remainder             6x3  -  10x2  +  5x  -  1

- divisor  * 6x2             6x3  -  6x2        

remainder              -  4x2  +  5x  -  1

- divisor  * -4x1              -  4x2  +  4x    

remainder                     x  -  1

- divisor  * x0                     x  -  1

remainder                        0

Quotient :  x4-4x3+6x2-4x+1  Remainder:  0

4 0
3 years ago
Choose at least three different careers you are interested in pursuing. Research the education level the career requires, the an
AveGali [126]

Answer:

    The career planning process is ongoing and sequential. Since it is fluid rather than chronological, you move to the next step only when you are ready to do so, and you may move back and forth between steps at any given time. The career planning process is also cyclic. When career change is desired anytime during your work life, you may repeat the process once again. Data from the U.S. Bureau of Labor Statistics indicates that the majority of members of the labor force will make three to four major changes in their career during their 35 to 45 years of working. Because human beings are complex, each of us has unique aspirations, goals, potential for development, and limitations. Although we can follow the same process, career planning outcomes must be individualized.

Step-by-step explanation:

5 0
3 years ago
On the grid, sketch a graph to represent
Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;

\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance  \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}

The plot of the above point is completed using MS Excel as shown in the attached diagram.

7 0
2 years ago
A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.48?
snow_tiger [21]
$6.48- $6.00= $.48
.48÷ 6.0= 0.08
0.08 = 8%
tax rate is 8%
6 0
2 years ago
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