All categories

3 years ago

16 ft

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

The dimensions of the border is 1.5 feet for the garden

A rectangle is a quadrilateral with four sides and four angles in which opposite sides are equal and parallel.

The area of a rectangle = Length * breadth

Given that length of garden = 16 ft., width of garden = 12 ft.

It is surrounded by a mulch of width x, hence:

New length = 16 + x + x = 16 + 2x

New width = 12 + x + x = 12 + 2x

The area of garden = 16 + 2x(12 + 2x) = 192 + 56x + 4x²

Since the maximum area is 285 ft, hence:

192 + 56x + 4x² = 285

4x² + 56x - 93 = 0

x = 1.5 feet

The dimensions of the border is 1.5 feet

Find out more at: brainly.com/question/1501950

You might be interested in

Solve for y in the following equation. x+2y=z

Galina-37 [17]

Answer:

The Answer:

Step-by-step explanation:

x+2y=z

minus x both sides

2y=z-x

divide by 2 both sides

The Answer:

$y = \frac{z - x}{2}$

6 0

4 years ago

Can you answer this question?

tankabanditka [31]

Answer:

Step-by-step explanation

Pattern analysis is a critical 21st Century skill

Finding a Pattern is a strategy in which students look for patterns in the data in order to solve the problem. Students look for items or numbers that are repeated or a series of events that repeat. Use this resource to enhance your lesson with the included guidelines and strategies that will help students learn how to find patterns.

Need more tips and tricks for teaching math? You can find them in our math resources center.

TEACHING STRATEGIES: Problem Solving

Curriculum Planning

GRADES: 2 | 3 | 4 | 5 | 6 | 7 | 8

SUBJECTS: Mathematics

I HOPE THIS WILL HELP YOU

4 0

3 years ago

Please help, will grant brainliest

Ilia_Sergeevich [38]

Answer:-2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

13. Translate the following verbal phrase

Artyom0805 [142]

a) algebraic expression

$\frac{3+x}{5}=10$

b) Solve and find value of x

x=47

Step-by-step explanation:

We need to translate the following verbal phrase into an algebraic equation

The quotient of three more than a number and five is ten

Let the number be x

three more than a number is written as: 3+x

Since quotient is 10 so,

The algebraic expression will be:

$\frac{3+x}{5}=10$

Now, solving to find value of x

$\frac{3+x}{5}=10$

Multiplying both sides by 5

$\frac{3+x}{5}*5=10*5\\3+x=50$

Now Subtract -3 from both sides

$3+x-3=50-3\\x=47$

So, value of x=47

Learn More:

You can find more info about translating verbal phrase into an algebraic equation

brainly.com/question/1600376

brainly.com/question/1617787

For finding value of x, more info can be found at:

brainly.com/question/1616605

Keywords: verbal phrase, algebraic expression

#learnwithBrainly

8 0

3 years ago

A fourth grade class of 28 students is given a standardized math test. The mean score of the 12 boys is 25 with a standard devia

Mashcka [7]

Answer:

The standard error for the sampling distribution is 1.323.

Step-by-step explanation:

Let X = scores of girls and Y = scores of boys.

The information provided is:

$\bar x=24\\s_{x}=4\\n_{x}=16\\\bar y=25\\s_{y}=3\\n_{y}=12$

As the population standard deviations are not known, use a pooled standard deviation to estimate the standard error of the sampling distribution.

The formula of pooled standard deviation is:

$S_{p}=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}$

Compute the standard error for the sampling distribution as follows:

$SE=\sqrt{\frac{s_{x}^{2}}{n_{x}^{2}}+\frac{s_{y}^{2}}{n_{y}^{2}}}=\sqrt{\frac{4^{2}}{16}+\frac{3^{2}}{12}}=\sqrt{1+\frac{9}{12}}=\sqrt{\frac{21}{12}}=1.323$

Thus, the standard error for the sampling distribution is 1.323.

7 0

3 years ago