Express the perimeter of the following
rectangle in terms of n.
3n-7
n + 5
1. O 4n - 2
2. O 8n - 14
3. O 8n - 4
4. O 6n - 14

Answer:

a = 15

Step-by-step explanation:

Substitute b = 12 , a = 9 into the equation

12 = [tex]\sqrt{a^2-9^2}[/tex]

12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides

144 = a² - 81 ( add 81 to both sides )

225 = a² ( take square root of both sides )

± [tex]\sqrt{225}[/tex] = a , then

a = ± 15

a > 0 , so a = 15

Using proportions, it is found that Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.

The rule of three is:

4 people - x

1 people - a

Applying cross multiplication:

[tex]4a = x[/tex]

[tex]a = \frac{x}{4}[/tex]

Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.

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Answer:

y=-2x+5

Step-by-step explanation:

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

m=(5-0)/(0-2.5)

m=5/-2.5

m=-2

y-y1=m(x-x1)

y-0=-2(x-2.5)

y=-2(x-2.5)

y=-2x+5

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The time it takes to type the document increases proportionately to the

number of words in the document.

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]

The time it would take Maya to type the document is x = 36 minutes

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Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Annual interest rate is 4.6%

hope this helps!

Step-by-step explanation:

4(x-3)-8=16

4x-12-8=16

4x-20=16

4x-20+20=16+20

add

4x=36

divide both

4x/4  36/4

Simplify

x = 9

Answer:

10z + 5    

Step-by-step explanation:

(3 z + 1) + (5 + 7 z )

3 z + 1 + 5 + 7 z     [Remove parentheses]

10z + 5                 [Combine like terms]

.

[tex]10z + 6[/tex]

[tex]3z + 7z + 5 + 1 = 10z + 6[/tex]

Answer:

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

The sequence of the statement will be Matthew is in the first place, Kiera is in second place, Jeffrey is in third place, Austin is in fourth place, and Shelby is in fifth place.

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

Austin didn’t win first or last place,

The snowmen wearing scarves with stripes were in second and last place,

Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman,

Keira placed better than Shelby, but not as well as Matthew,

The sequence of the above statement can be written as,

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

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Answer:

See attachment

Step-by-step explanation:

Answer:

30; 41 69 :):):):):):):):)')'))'):):):):):):)):):):

Answer:

5 feet

Step-by-step explanation:

Using pythagoras' theorem a^2 = b^2 + c^2

13^2 = 12^2 + c^2

c^2 = 25

c = 5 feet

Answer:5

Step-by-step explanation:

e: x10+x15+x30=3

⇒3x+2x+x30=30

∴x=15

a: 1.5t+2.5t+3.5t=70+0.5t

⇒7.5t−0.5t=70

⇒7t=70⇒t=707=10

b: Let the number be x.

Given that, 2x3−x6=10

⇒4x−x6=10

x=20

d: 3x+5>25−x

⇒3x+x>25−5

⇒4x>20⇒x>204⇒x>5.

Answer:

68 degrees fahrenheit.

Step-by-step explanation:

Formula:

(20°C × 9/5) + 32 = 68°F

Answer:

Its around 68F

Step-by-step explanation:

Hope this helped

Answer: i got you my boi answer is x > -3

Step-by-step explanation:

Answer:

18 lol

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

because you are getting a higher number of candy bars you can mutiply 6*3 to get 18

or you can do 3+3+3+3+3+3 or 6+6+6

Step-by-step explanation:

Total Students = 450 (Everything within the sample/rectangle)

Choir = 110

Band = 240

Both = 60 (Where both circles overlap)

110+240+60 = 410 (Total students in Choir or Band or Both)

410 ÷ 450 = 0.91111111

Therefore the probability that a student chosen at random is in the choir, band or both out of the sample is 91%

Answer:

Step-by-step explanation:

I'll assume these are the equations:

11x + y =  18

4x + y  = 18

-2x - 2y = 18

=======

The easiest approach to graphing, for me, is to rearrange each to y=mx+b (slope-intercept) format:

It seems to me that all three can be graphed easily from simply reading the slope and y-intercept values.  Since these are straight lines, all we need is two points for each line, and one is standing out in plain view, the y-intercept:  (0,y-intercept).  The second point can be determined by using whatever value of x makes the calculation easy

An example:  y =  - x -9.  Plot (0,-9) for the y intercept, and then calculate one additional point (e.g., for x = - 9).  (-9,0)  Then connect a straight line between these two points and presto (metric term for magic), a graph. For the first equation, I picked 20 for x.  For x = 20, y = -29.  That was easy, and we have the second point:  (1,-10)

See the attachment for how this was done.  The first points are all for the y-intercept (0,[18 or 9]).  All of the second points were calculated in my head by using a convenient value for x.

This approach doesn't work well for non-linear equations.  There, I find it easier to set up a table of values - a spreadsheet such as Excel is my tool for the calculations.

The attachment also demonstrates the Really Easy Way to graph functions.  DESMOS, a free, and excellent, online calculator.

Answer: 67 x 104 = 6968

Step-by-step explanation:

Answer:

7303

Step-by-step explanation:

I just calculated 67x109 and it gave me 7303

HOPE THAT HELPS YOU MARK ME BRINILYLIST

Answer: C) 2200

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Since the slope is (1/2), we can write:

y = (1/2)x + b

We want a value of b such that it forces the line to go through point (-10,9).  Enter that point in the equation and solve for b:

y = (1/2)x + b

9 = (1/2)*(-10) + b

9 = -5 + b

b = 14

The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:

y = (1/2)x + 14

See attachment.

The inequality that best describes the possible values of x is; Choice A: 2 < x < 10

In a polygon such as that given in the question;

Two scenarios may occur regarding angle; (3x -6)

They are as follows:

This is so because angle 3x - 6 must be between 0° and 24° since 36 > 34

By evaluation;

x < 10

Also,

x > 2.

Therefore, the inequality that best describes the possible values of x is; Choice A: 2 < x < 10

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The inequality that describes the possible values of x is 2 < x < 10.

The given parameters:

From the given polygon, the angle facing the shorter length (34) will have the following possible values;

The range of of values of x is calculated as follows;

3x - 6 < 24

3x < 24 + 6

3x < 30

[tex]x < \frac{30}{3} \\\\x< 10[/tex]

or

3x - 6 > 0

3x > 6

[tex]x >\frac{6}{3} \\\\x >2[/tex]

Thus, the inequality that describes the possible values of x is 2 < x < 10.

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Answer:

3sqrt(2)

Step-by-step explanation:

72=6^2 x 2 so sqrt(72)=6sqrt(2)

divide by 2 to get 3sqrt(2)

Answer:

[tex]answer \: is \: = \: \sqrt[6]{2} [/tex]

[tex]to \: know \: the \: answer \: with \: proof[/tex]

[tex]refer \: to \: the \: above \: attatchmet \: [/tex]

The full installment price is $ 2200, and the annual interest rate is 10%.

Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:

Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.

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Answer is attached.

Hope it helps :)

Answer:

20%

Step-by-step explanation:

54-45 = 9

9/45 = 0.2

0.2*100 = 20

Production increased 20%

The area of the composite figuren as shown in the diagram is 90 in².

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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