A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden. (Hint: A=LW where, L is the Lenght and W is the Width). Simplify

Answers

Answer 1

Answer:

The answer is 6x² - 21x.

Step-by-step explanation:

You have to substitute the expressions inro the formula :

[tex]A = length \times width[/tex]

[tex]let \: l = 2x - 7,w = 3x[/tex]

[tex]A = (2x - 7) \times 3x[/tex]

[tex]A = 3x(2x - 7)[/tex]

[tex]A = 6 {x}^{2} - 21x[/tex]

Answer 2

The area of the rectangular garden is 6x² - 21x.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a rectangle is (length×width).

Given, The rectangular garden has a length of (2x - 7) and a width of 3x.

Therefore, The area of the garden is,

= (2x - 7)×3x.

= 6x² - 21x.

= x(6x - 21).

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Related Questions

What is the first step to solve this equation?

2x + 3 = 13

Answers

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

2

x

=

16

Divide each term by

2

and simplify.

Tap for fewer steps...

Divide each term in

2

x

=

16

by

2

.

2

x

2

=

16

2

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2

.

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x

=

16

2

Divide

16

by

2

.

x

=

8

Answer:

move the constant to the right 2x=13-3 subtract 2x =10 divided both sides by 2 x=5

Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step they each make to the equation
The result of Andre's first step was -x + 6 -8.

Answers

Answer: Andre subtracted 3x from both sides

geometric sequence or whatever
How do I do this? Please give subtle explanation too. I don't really understand at all. If I understand this question, I'll understand the rest.
(it's 54 points too lol)

Answers

Step-by-step explanation:

An = -2 * An-1

What this means is that you multiply -2 to the term to get the next term.

Since our 1st term (A1) is -2, we have:

A2 = -2 * A1 = -2 * (-2) = 4,

A3 = -2 * A2 = -2 * (4) = -8,

A4 = -2 * A3 = -2 * (-8) = 16,

A5 = -2 * A4 = -2 * (16) = -32,

A6 = -2 * A5 = -2 * (-32) = 64.

Hence our first 6 terms in the GP are

-2, 4, -8, 16, -32 and 64.

Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search

Answers

Complete question :

Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search

What is the probability that she draws a green ball and a tile numbered with 4?

Answer:

1 / 10

Step-by-step explanation:

Given:

Bag content :

Green balls = 4

Yellow balls = 4

Probability = required outcome / Total possible outcomes

P(drawing a green ball) = 4 / 8 = 1/2

Total number of tiles = 5

P(drawing tile numbered 4) = (number of tiles numbered 4 / total number of tiles) = 1 / 5

P(drawing a green ball) * P(drawing tile numbered 4)

= 1 / 2 * 1 /5

= 1 / 10

JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?

Answers

Answer:

26

Step-by-step explanation:

45-7=38,

38/2= 19,

19+7=26

Rewrite 18m - ( 2 + 3m ) without parentheses.

Answers

Answer:

15m−2

Step-by-step explanation:

Distribute the Negative Sign:

=18m + −1(2 + 3m)

=18m + (−1)(2) + −1(3m)

=18m + −2 + −3m

Combine Like Terms:

=18m + −2 + −3m

=(18m + −3m) + (−2)

=15m + −2

PLEASE HELP!!!!!!!

Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.

Determine the length of CB.

Answers

9514 1404 393

Answer:

  CB = √6 cm

Step-by-step explanation:

The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.

Then the length CB is given by the Pythagorean theorem as ...

  CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm

  CB = √6 cm

PLEASE HELP THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.

Answers

Answer:

It's the same as the last one. The answer is -2.3

Step-by-step explanation:

5. Rebecca bought candy boxes in the shape of a square pyramid to use for party favors. The side length of each box is 3.6 inches, and the height is 4 inches. Rebecca wants to fill each box with 20 pieces of candy. If each piece of candy is 0.8 in.³, will Rebecca be able to fit 20 pieces of candy into each candy box?

Answers

Answer:17.28 and yes

Step-by-step explanation:because I did it in school and I don’t remember how to do it

i’ll give brainliest!

Brad made a graph showing how many students were absent from school every day last week.

2. how many students were absent on day3? explain how you know.

3.on which day were the greatest number of students absent? how many students were absent that day?

Answers

ANSWER:

2.) There are 5 students absent on day 3 because the dot is in the line of 5 in day 3.

3.) The 2 day is the greatest number of students absent beacause on that 2 day, 10 students were absent

I obviously know this is the answer

8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?


A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.

B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.

C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.

D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.

Answers

Answer:

I'm sorry but I have no clue. Actually I think it's C.

Step-by-step explanation:

I need help it really hard

Answers

Answer:

ΔPQR and ΔSTU are not similar.

Step-by-step explanation:

The two triangles look distinguishable from each other.

The triangles are not similar

Please help 30 points
The number of lattes sold daily by two coffee shops is shown in the table.

Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43


Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.

Mean for both coffee shops because the data distribution is symmetric

Median for both coffee shops because the data distribution is not symmetric

Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric

Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric

Answers

Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric

Step-by-step explanation:

According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.

Note that the two values of Shop B (10 and 11) are alot lower than the other values.

Thus the correct option is Mean for shop A and Median for shop B.

Simplify the expression. Explain each step.
6(2b)

Answers

Answer:12b

Step-by-step explanation:

Here,

We have only one variable

So we can multiply it with number

=6×2b

=12b

Hope it helps you

Plz mark me brainliest.

Multiply 2 by 6 . The answer is 12b

Need help with this?

Answers

Answer:

Half of the possible choices as far as I know are not shown in the picture but your answer should be the graph that is 5 units down than the center of the graph.

7w + 3 + 2w + 9 simplified

Answers

The answer is 9w + 12

hope this helps!

Answer:

9w + 12

Step-by-step explanation:

First, add the 7w and the 2w

7w + 2w = 9w

Second, add 3 and 9

3 + 9 = 12

Last, add the two together

9w + 12 =

Hope this helps!

Factor completely and check your answer:
Help!

Answers

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

Calvin bought 6 ties for $19.50 each and three shirts for $23.50 each. how much did he spend?​

Answers

The answer is $187.5 because you need to multiply 19.50 x 6 and that will equal 117.
$23.50 x 3 = 70.5. Add those two together and it will be $187.5

Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°

Answers

Answer:

A and C

Step-by-step explanation:

A) 160 + 20 = 180

B) 120 + 40 = 160

C) 45 + 135 = 180

D) 30 + 120 = 150

All supplementary angles must add up to 180 degrees.

plz help i dont want to fail plzzzzzz

Answers

3p + 4c = 40 ⇒ 15p + 20c = 200
5p + 2c = 34 ⇒ 15p + 6c = 102
14c = 98
14 14
c = 7
5p + 2(7) = 34
5p + 14 = 34
- 14 - 14
5p = 20
5 5
p = 4
(p, c) = (4, 7)

Answer:

c= 7 p=4

Step-by-step explanation:

3p + 4c = $40

therefore  

15p + 20c = 200

5p + 2c = 34

therefore

15p + 6c = 102

14c = 98

98/14=7

c = 7

5p + 2(7) = 34

5p + 14 = 34

- 14 - 14

5p = 2020/5= 4

p = 4

Can someone help me out

Answers

Answer:

C.

Step-by-step explanation:

c ............. anbrbrfkodlwlenrbgckodkenf

Which fraction and decimal forms math the long division problem

Answers

Answer:

4/15 and 0.26

Step-by-step explanation:

Here, we want to write the fraction and decimal that matches the division problem

The division problem is simply 4/15 in fraction

In decimal, this is 0.2667

Paul leaves £4000 in the bank for two years. It earns compound interest of 5% per year. Calculate the totals amount Paul has in the bank at the end of the two years

Answers

Answer:

£4410

Step-by-step explanation:

Step one:

given data

Principal P= £4000

Rate= 5%= 0.05

time t= 2 years

Final amount A= ??

Required

The final amount

Step two:

The expression for the final amount of compound interest is

[tex]A= P(1+r)^t\\\\A=4000(1+0.05)^2\\\\A=4000(1.05)^2\\\\A=4000*1.1025[/tex]

A=£4410

How many time does 3 go into 20?

Answers

Answer:

6 times.

Step-by-step explanation:

6x3=18

20-18=2

hope this helps ! </3 ~ alyssa

3 goes into 20 six times with a remainder of 2.

To determine how many times 3 goes into 20, we can perform division.

Dividing 20 by 3 gives us:

20 ÷ 3 = 6 with a remainder of 2

Or,   3 | 20  | 6

             18

          _____

              2

Therefore, 3 goes into 20 six times with a remainder of 2.

Learn more about Division here:

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Marie works in a garment factory that makes shirts. Marie’s job is sewing in sleeves. Marie receives .55 for each pair of sleeves she completes. During this pay period, she completed 1, 632 pairs of sleeves. What were Marie’s gross earnings?

Answers

Answer:

879.6

Step-by-step explanation:

I had a similar question that I solved which helped me here.

end of semester help

Answers

Answer:

Step-by-step explanation:

A= 1/2 bh

10.98  = 1/2b (3.6)

10.98=b/2 (3.6)

10.98=b (1.8)

10.98/1.8=b

6.1=b

3 1/4 - 4 1/2 show your work

Answers

If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.

h + 13.4 = -13.4

h = ?

Answers

I think it is -26.8

The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.
____square feet​

Answers

Answer:

26

Show Your Work:

Answer:

26 sq.ft.

Step-by-step explanation:

i did the diagnostic

-2•f(-6)-7•g(-7) help

Answers

12f+49g=61g,71g is the answer hope this helps

Answer:

11

Step-by-step explanation:

-2 • f(-6) -7 • g(-7) = ?

As per graph:

f(-6) = 5

g(-7) = -3

Calculation:

-2 • f(-6) -7 • g(-7) =

-2(5) - 7(-3) =

-10 + 21 =

11

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