The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of the pond and the walkway, in square feet

Answers

Answer 1

Answer:

Area = 324 ft²

Step-by-step explanation:

Given

Length = 15ft

Walkway = 3ft

Required

Determine the area of the pond + the walkway

To calculate the required area, we need to get the total length of a side .

This is calculated by adding the length of a side of the pond and the side of the walkway

Total Length = Pond Length + Walkway

Total Length = 15ft + 3ft

Total Length = 18ft

Now, the required area can be calculated as thus:

Area = Total Length * Total Length

Area = 18ft * 18ft

Area = 324 ft²


Related Questions

The OLS method A. minimizes the sum of the residuals. B. maximizes the sum of the residuals. C. maximizes the sum of the squared residuals. D. minimizes the sum of the squared residuals.

Answers

Answer: D. minimizes the sum of the squared residuals

Step-by-step explanation: The ordinary least square method is often used in locating the trendine which best fits a graphical linear model. The best is one in which the sum of the squared residual is smallest. The residual refers to the difference between the actual and the predicted points. The sum of the squared differences is obtained and the trend line is positioned where the residual is minimum. Choosing a OLS, and minimizing the sum.of the squared residual, the error difference between the predicted and actual score is minimized or reduced, hence, improving the prediction accuracy of our model.

Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?

Answers

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

she spend= 7500.00-132.75

=7367.25answer

The product of two numbers is 1856. The sum is ninety. What is the difference of these two numbers?

Answers

Answer:  26

======================================================

Explanation:

x and y are the two numbers

The product of those values is 1856, so xy = 1856

The sum is 90, so x+y = 90. Solve for y to get y = 90-x

Plug this into the first equation

xy = 1856

x(90-x) = 1856

90x-x^2 = 1856

0 = x^2-90x+1856

x^2-90x+1856 = 0

Now use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-90)\pm\sqrt{(-90)^2-4(1)(1856)}}{2(1)}\\\\x = \frac{90\pm\sqrt{676}}{2}\\\\x = \frac{90\pm26}{2}\\\\x = \frac{90+26}{2} \ \text{ or } \ x = \frac{90-26}{2}\\\\x = \frac{116}{2} \ \text{ or } \ x = \frac{64}{2}\\\\x = 58 \ \text{ or } \ x = 32\\\\[/tex]

If x = 58, then,

y = 90-x

y = 90-58

y = 32

So one pair of values is (x,y) = (58,32)

We see that x*y = 58*32 = 1856

If x = 32, then,

y = 90-x

y = 90-32

y = 58

Showing (x,y) = (32,58) is the other solution. But this is just a mirror copy of the first solution. Effectively we're saying the same thing.

The two numbers 58 and 32 multiply to 1856, and they add to 90.

The difference in the two values is 58-32 = 26 which is the final answer.

------------------------

In summary,

58*32 = 1856

58+32 = 90

58 - 32 = 26

Answer:26

Step-by-step explanation:

x+y=90

xy=1856

x*(90-x)=1856

-x^2 +90x -1856=0

or x^2 -90x +1856=0

Using quadratic equation

(x-58)*(x-32)=0

x=58, y=32

58-32=26

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer:

8 ft of yarn

Step-by-step explanation:

146/18= 8.111

Round that number down to 8 to make all students get equal amounts of yarn

Answer:

8.11 ft

Step-by-step explanation:

146 ft divided into 18 prices

146 ÷ 18 = 8.11 ft for each student.

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

C. y = 91

Step-by-step explanation:

you are given that x and y are proportional, this means that you can out them in a fraction

so when x is 8, y is 56, this can be written as 8/56

you are trying to find what y is when x is 3, so you can also put that in a proportion that is equal to the given fraction

so now we have 8/56 = 13/y

cross multiply 56 and 13, and 8 and x

you now have: 8y = 728

divide both sides by 8

you get y = 91

can u pls help me with this question ​

Answers

Answer:

A

Step-by-step explanation:

Options A, B and C  are the same:

2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)

But most common and most used is a fraction

So, the answer is A

Four less than 6 times a number is the same as the number plus 11.
Complete the equation

Answers

Answer:

×=3

Step-by-step explanation:

6x-4 = x+11

6x-x = 11+4

5x = 15

x = 3

I just need an answer

Answers

Answer:

Step-by-step explanation:

The similar things between the two is that they both to through the y-intercept and x-intercept, but one graph is positive and the other is negative and also have different slopes.

Ocho veces un numero aumentado en 30 es igual a seis veces el mismo numero, aumentado en 50.¿De que numero se trata?

Answers

Answer:

25 sobre 117. no estoy segura pero eso es lo que gare llo

The Ted Williams Tunnel under Boston Harbor is 8,448 feet long. How many yards is the length of the tunnel?

Answers

Answer:

2816 yards

Step-by-step explanation:

In order to find the answer, you would need to divide 8,448 by 3 because there are 3 feets in a yard.

Hope this helps and pls do mark me brainliest if you can:)

Mackenzie sells shoes. She makes a 20% commission on all of her sales.
Write 20% as a fraction in simplest form.


Write 20% as a decimal.

Answers

Answer:

20% as a fraction is 20/100

20% as a decimal is 0.20

Step-by-step explanation:

Answer:

1/5 and 0.20

Step-by-step explanation:

20/100 = 10/50 = 2/10 = 1/5

20% is out of a 100, so move the decimal place of the 20 two times because 100 has 2 zeros.

0.20

"mailing labels are sold in packages of 16 envelopes are sold in packages of 20 what is the least number of labels and envelopes you can buy so that there is one label on each envelope with none left over?"

Answers

Answer:

80 labels

Step-by-step explanation:

The number of packages are 16 envelopes and 20 envelopes

We solve using LCM Method

We find the Multiples of 16 and 20

Multiples of 16:

16, 32, 48, 64, 80, 96, 112

Multiples of 20:

20, 40, 60, 80, 100, 120

Therefore,

LCM(16, 20) = 80

The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels

Answer:

80 labels

Step-by-step explanation:

Your field experience instructor wants to line up 7 cars for transportation to a grade school. Between you and your classmates, there are 29 cars available. How many different groups of 7 cars are possible? different groups

Answers

Answer:

1560780 selections

Step-by-step explanation:

Given

Cars = 29

Selection = 7

Required

Possible number of selections

The interpretation of the question is that, in how many ways can 7 cars be selected from 29.

This is done using combination formula as follows:.

[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]

Where

[tex]n = 29[/tex]

[tex]r = 7[/tex]

So, the formula becomes:

[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]

[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]

[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]

[tex]^{29}C_7 = 1560780[/tex]

Hence, the number of ways is 1560780

. A sporting goods store offers a rewards program where the customer earns a $20 gift card for every 1,500 points. Suppose a new customer receives a certain number of points when signing up and earns a number of points for every dollar purchased at the store. If a new customer has 750 points after spending $30 and 1,025 points after spending $85, how much does the customer have to spend to earn the first gift card?​

Answers

390 because 1025 plus 85 =1,110-1,500 = 390 so he has to spend 390 more

Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. How many miles can he drive.

Answers

Answer:

Alex can drive for 100 miles.

Step-by-step explanation:

First, you do 30 - 18, which is 12. Divide 12 by 0.12 to get your answer, which is 100 miles.  

Hope this answer helped!

Answer:

Alex can drive for 100 miles

Step-by-step explanation:

What is the first step needed to solve 2 over 5 multiplied by x minus 6 equals negative 16?

Subtract 16 from both sides
Add 6 to both sides
Divide both sides by 5
Multiply both sides by 2

Answers

Answer:

The correct answer is D.

Step-by-step explanation:

Can anyone find the simplest radical form

Answers

Answer:

C.) [tex]55[/tex]

Step-by-step explanation:

Simplify the expression by finding the square root of 25:

[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]

The answer is 55

:Done

Which number is the additive inverse of -4
-442
O
-4
O
45
V

Answers

Answer:

it's the last one i mean 4&1/4

Answer:

last image== four and one fourth

What is the difference between an expression and an any quality

Answers

Answer:

A expression is a number, variable, or a combination of numbers and variables and operation symbols. A equality is a relationship between 2 quantities or more . Hope it helps:)))

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:45 mins.

Step-by-step explanation: half of 30 is 15 (one box = 15) and 15 times 3 is 45

The expression -7y is a
A term
B variable
C constant

Answers

Answer:

A. Term

Step-by-step explanation:

A constant does not cointain a variable, a variable by itself does not contain a constant.

It's a term because it has a constant and a variable.

WILL GIVE BRAINLIEST! PLEASE ANSWER!

Answers

Answer:

You have the right answer ( y=4x )

Step-by-step explanation:

Hope this helped, Have a Great Day!!

y=4x i’m pretty sure (:

please help please please​

Answers

Answer:

146 feet

Step-by-step explanation:

The missing angle is 146 degrees. May I please have Brainiest?????

Can y'all answer my question: 3d + 45 = 150

Answers

Answer:

d=35

Step-by-step explanation:

In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.

Answers

Answer:

The measure of ∠O is 97.2° to the nearest tenth

Step-by-step explanation:

To solve this question, we will use the cosine rule

In Δ OPQ

Side o is opposite to ∠O

Side p is opposite to ∠P

Side q is opposite to ∠Q

By using the cosine rule

o² = p² + q² - 2(p)(q)cos∠O

∵ o = 6.6 inches

∵ p = 2.1 inches

∵ q = 6 inches

→ Substitute them in the rule above

∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O

∴ 43.56 = 4.41 + 36 - 25.2cos∠O

→ Add the like terms in the right side

∴ 43.56 = 40.41 - 25.2cos∠O

→ Subtract 40.41 from both sides

∵ 3.15 = -25.2cos∠O

→ Divide both sides by -25.2 to find cos∠O

-0.125 = cos∠O

→ Use your calculator to find ∠O

∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]

∴ m∠O = 97.18075578

→ Round it to the nearest tenth ⇒ 2d.p.

m∠O = 97.2°

Jill walked 2 1/3 miles to the
treasure and then 1 3/4 miles back
to the boat. How many miles did
Jill walk in all?

Answers

2 1/3 + 1 3/4 = 4 1/12

4 1/12 miles in total.

SECTION 2-4 PRACTICE

For problems 3–7 use the Social Security tax rate of 6.2 percent and Medicare

tax rate of 1.45 percent to determine each tax and the total deduction.

Gross Soc. Sec. Tax Medicare Tax

Total

Pay

Withheld

Withheld

Deduction

3.

a.

C!

b.

b.

а.

C.

4.

5.

$ 125.00

432.00

241.00

1,562.00

2,521.00

a.

b.

C.

a.

b.

c.

6.

7.

b.

C.

a.

US 4

Answers

Answer:

Computation of each tax and the total deduction:

                Gross     Soc. Sec. Tax    Medicare         Total

                                                             Tax             Deduction

a.           $ 125.00         $7.75              $1.81               $9.56

b.             432.00         26.78               6.26               33.04

c.             241.00           14.94               3.49                18.43

d.         1,562.00          96.84             22.65              119.49

e.         2,521.00       156.30             36.55              192.85

Step-by-step explanation:

a) Data and Calculations:

Social Security tax rate = 6.2%

Medicare tax rate = 1.45%

Computation of each tax and the total deduction:

                Gross     Soc. Sec. Tax    Medicare         Total                Pay

                                                             Tax             Deduction

a.           $ 125.00         $7.75              $1.81               $9.56             $115.44

b.             432.00         26.78               6.26               33.04             398.96

c.             241.00           14.94               3.49                18.43             222.57

d.         1,562.00          96.84             22.65              119.49           1,442.51

e.         2,521.00       156.30             36.55              192.85          2,328.15

Total $4,881.00       302.61              70.76             373.37          4,507.63

At Nivea's Newsstand, 6 magazines cost $12.00. How many magazines could you buy with $16.00?

Answers

Answer:

You could by 8 magazines

Step-by-step explanation:

First, set up the equation 6/12=x/16

cross multiple to get 12x=96

divide both sides by 12 and x = 8

This is a fun, but simple unit rate problem! We are solving for x.

Divide 12 by 6 (cost is usually always first when dividing for unit rate). You’ll get 2.

That means, for every one magazine, it’s 2 dollars.

Now, divide 2 by 16.
Your answer should be 8!

You can purchase 8 magazines for $16 dollars!


would would the slope and y intercept be​

Answers

The slope is 12 because the y increases by 12 every time the x increases by 1. Finding the y intercept we need x to be 0. If we go backwards from the 1 of x to 0 we can subtract 12 from 8 to get -4.
Slope is 12 , y intercept is -4

Find the product of (x - 3)2.

Answers

Answer:

2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9

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