Ask question

Ask question

All categories

3 years ago

12

Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 feet and a length of 2y feet. Simplify

your expression and find the perimeter of the garden if y=6. Draw a model and show your work.

1 answer:

frutty [35]3 years ago

8 0

Answer:

i. $P=4y+6$

ii. $P=30\:ft$

Step-by-step explanation:

The given rectangular garden has width, $w=3ft$ and length, $l=2y\:ft$ .

The perimeter of a rectangle is calculated using the formula;

$P=2l+2w$

We substitute the given dimensions into the formula to get;

$P=2(2y)+2(3)$

$\Rightarrow P=4y+6$

We substitute;

$y=6$ to obtain;

$\Rightarrow P=4(6)+6$

Simplify;

$\Rightarrow P=24+6$

$\Rightarrow P=30ft$

You might be interested in

Help please!!!!!!????!!!!

zavuch27 [327]

Answer:

28 yd²

Step-by-step explanation:

find the two biggest sides

2x4

8 but there are two sides...

8*2= 16

*16*

now side panels

1x4

4 but there are two

4*2= 8

*8*

top and bottom panels

2x1

2 but there are two

2*2= 4

*4*

add them up

16 + 8 + 4= 28

4 0

3 years ago

PLEASE HELP ME ASAP!!!!<br> The top says "Coffee cost $18.96 for 3 pounds."

mezya [45]

I think you divide 18.96 by 3 to get the amount for one pound cost then go pound for pound there

4 0

3 years ago

Read 2 more answers

Can someone please explain how to do this multi step problem? Annie and Dustin took a beginner's programming course over several

Anarel [89]

Depends on what time their bedtime is, like if their bedtime is at 6:00, and they have to wake up at 5:00 then their waking hours would be 11 hours.

3 0

2 years ago

Can someone please help me find the side length area, and please draw the shape on how it would look if it were finished

Mumz [18]

The side length is 5 units, and the area is 25 square units

<h3>What are areas?</h3>

The area of a shape is the amount of space it occupies

<h3>What is the area of a square</h3>

The area of a square is the product of its dimensions

From the graph, the coordinates of the square can be assumed to be:

$A = (0,0)$

$B = (4,3)$

The side length of the square is then calculated using the following distance formula

$d = \sqrt{(x_2- x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$AB = \sqrt{(0 - 4)^2 + (0-3)^2}$

$AB = \sqrt{25}$

$AB = 5$

The area of the square is the calculated as:

$Area = AB^2$

This gives

$Area = 5^2$

$Area = 25$

Hence, the side length is 5 units, and the area is 25 square units

See attachment for the diagram of the shape

Read more about areas at:

brainly.com/question/24487155

6 0

2 years ago

onsider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. U

kondaur [170]

Answer:

a) z(e) > z(c) 2.94 > 1.64 we are in the rejection zone for H₀ we can conclude sample mean is great than 50. We don´t know how big is the population .We can not conclude population mean is greater than 50

b) z(e) < z(c) 1.18 < 1.64 we are in the acceptance region for H₀ we can conclude H₀ should be true. we can conclude population mean is 50

c) 2.12 > 1.64 and we can conclude the same as in case a

Step-by-step explanation:

The problem is concerning test hypothesis on one tail (the right one)

The critical point z(c) ; α = 0.05 fom z table w get z(c) = 1.64 we need to compare values (between z(c) and z(e) )

The test hypothesis is:

a) H₀ ⇒ μ₀ = 50 a) Hₐ μ > 50 ; for value 52.5

b) Hₐ μ > 50 ; for value 51

c) Hₐ μ > 50 ; for value 51.8

With value 52.5

The test statistic z(e) ??

a) z(e) = ( μ - μ₀ ) /( σ/√50) z(e) = (2.5*√50 )/6 z(e) = 2.94

2.94 > 1.64 we are in the rejected zone for H₀ we can conclude sample mean is great than 50. We don´t know how big is the population .We can not conclude population mean is greater than 50

b) With value 51

z(e) = ( μ - μ₀ ) /( σ/√50) ⇒ z(e) = √50/6 ⇒ z(e) = 1.18

z(e) < z(c) we are in the acceptance region for H₀ we can conclude H₀ should be true. we can conclude population mean is 50

c) the value 51.8

z(e) = ( μ - μ₀ ) /( σ/√50) ⇒ z(e) = (1.8*√50)/ 6 ⇒ z(e) = 2.12

2.12 > 1.64 and we can conclude the same as in case a

8 0

3 years ago