A rectangular sandbox is in the center of a larger rectangular back yard. The sand box
measures (x+6) feet long and 5x feet wide. The yard measures (6x+7) feet long and 8x
feet wide.
What is the area of the yard that is NOT apart of the sandbox?

Answers

Answer 1

Answer:

(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]

Thus,

Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)

                                = 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x

                                = (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].


Related Questions

Write an expression equivalent to (6x + 4y) – 2y by combining like terms.

Answers

Answer:

6x + 2y

Step-by-step explanation:

6x + 4y - 2y =

6x + 2y

Hope that helps!

Can you guys pleas help me Find the answer to 523÷32 .

Answers

Answer:

16.34375

Step-by-step explanation:

Answer: 16.34 but if rounded16.30

Step-by-step explanation:

Help please can y’all please answer 4-6 please

Answers

Answer:

4. the circumference = approx. 21.99

5. 30 feet

6. 150.8 feet

Step-by-step explanation:

4: 3.5*π*2= 21.99

5:. 1800÷60= 30

6. circumference equals approx. 37.7 feet and I multiplied that by 4 because the boy went around 4 times

hope this helps <3

Which of these is a pair of adjacent angles?

Answers

Answer:

Answer A

as taught to us till now

Write down two facts of advice that you can give to other learners who would
want to engage in a fundraising activity.​

Answers

Focus appeals on a single person
(and use it to overcome prejudice) ...

Help people to feel their emotions,
rather than repress them. ...

Tie giving to a sense of identity and purpose. ...

Ask people to pay later (and thank them right away)....

How do i find surface area of a triangler prisim

Answers

Answer:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

Hope it helps..

Have a great day : P

Answer:

A prism that has 3 rectangular faces and 2 parallel triangular bases, is a triangular prism (refer to the attached picture). This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.

This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.The Surface area of a triangular prism is given as:

[tex]ab \: + 3bh[/tex]

The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.​

Answers

a is 23.4 and b should be k point at 26

The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc?

Answers

Answer:

The answer is 0.235619449 rad m.

solve using substitution

y = -x - 6
4x - 2 =0

Answers

X=1/2 , y= -13/2
That the answer for the questions

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

Answers

Answer:

18.7 wreaths

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

From the above question:

23 pine cones = 1 wreath

430 pine cones = x wreaths

Cross Multiply

23 pine cones × x wreaths = 430 pine cones × 1 wreath

x wreaths = 430 pine cones × 1 wreath/23 pine cones

x wreaths = 18.695652174 wreaths

Approximately = 18.7 wreaths

help i’ll give brainliest if you give a correct answer

Answers

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

help pls will get brainlest

Answers

Step-by-step explanation:

the answer to your question is

a

Answer:

54 inches squared.

Step-by-step explanation:

(6*3) + (6*3) + (3*3) + (3*3). The areas of the faces added together. It is basically the perimeter of a 3D shape, except instead of measuring 2D sides, it is 3D shaped faces.

Function f is defined by the equation f (x) = 10x + 2. What is the value of f (2)?

Answers

Answer:

f(2) = 22

Step-by-step explanation:

To find f(#), plug the number into each x of the equation.

f(x) = 10x + 2

f(2) = 10(2) + 2

Simplify the parentheses by multiplying.

f(2) = 20 + 2

Add.

f(2) = 22

Hope this helps!

HELP EASY PAGE OF REVIEW I NEED THIS DONE BY TONIGHT!!! PLEASE

Answers

Answer:

1) .0335

2) -30

3) -12

4) +1058

5) x    0    1     2   3    4    5

   y    6   11    16  21  26   31

6) 5:25 or 1:5

7) 140

8) 256

9) 10

10) 16

11) 7

12) 18 nights

13) 1252

14) 18/25

15) 72%

16) .8

17) 80%

18) 9/10

19) .9

Step-by-step explanation:

Please help me find the answer.

Answers

Answer:

I think 3/6

Step-by-step explanation:

because there is 6 cards and 3 of them are odd but im not postive

for the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

The first term is 5 and the common difference is 9-5=4, so the n-th term is ...

  an = a1 +d(n -1)

  an = 5 +4(n -1) = 4n +1

Then the term number for the term 129 is ...

  129 = 4n +1 . . . . . put the given value in the formula

  128 = 4n  . . . . . . . subtract 1

  32 = n . . . . . . . . . .divide by 4

The 32nd term is 129.

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees and totaled $411

Answers

Answer:

Cost of 1 bushes = a = $9

Cost of 1 tree = b = $73.5

Step-by-step explanation:

Given:

13 bushes and 4 trees cost = $411

Missing;

6 bushes and 2 trees cost = $201

Find:

Value of bushes and tree

Computation:

Cost of 1 bushes = a

Cost of 1 tree = b

So,

13a + 4b = 411 ...........eq1

6a + 2b = 201 ................eq2

From Eq1 and Eq2

Cost of 1 bushes = a = $9

From eq 1

13a + 4b = 411

13(9) + 4b = 411

Cost of 1 tree = b = $73.5

I NEEED HELP PLEASE ANYONE!! With step by step answer

Answers

Answer:

x = 2

Step-by-step explanation:

Let me know if you have questions

1 + 1 - 2 = ? please help asap

Answers

0 lol this is funny thanks for free points

Answer:

I think its zero but I'm not sure dude

hope this helps :)

2 times what gives you 16

Answers

Answer:

8

Step-by-step explanation:

2x = 16

2x/2 = 16/2

x = 8

Answer:

2 time 4 gives you 16

plz check

HELP PLEASE! What’s the domain and range?

Answers

Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range (-∞, ∞)

Step-by-step explanation:

Given function is,

[tex]\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}[/tex]

This function is not defined when the denominator is zero.

2x + 2 = 0

2x = -2

x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of [tex]\frac{f(x)}{g(x)}[/tex]).

Therefore, range of the function will be (-∞, ∞).

1 point
1. A square with an area of 300 in? must have side lengths that are
between: *
A. 17 and 17.5 inches
B. 18 and 20 inches
C. 15 and 16 inches
D. 14.5 and 15 inches
227 18
1 point

Please help have to turn in by 2:30

Answers

Answer:

I would say the answer is A because its closest to the number 300

Step-by-step explanation:

i hope i helped if its wrong im sorry

For the area of a square, you only need one side length to find the area. Then you take that length and multiply it by itself. It A) 17 to 17.5 inches because it meets the 300 range. you can check by multiplying each number by itself

PLSS HELPP I WILL BE GIVING BRAINLIEST:)

Answers

Answer:

It is 264 inches^3

Step-by-step explanation:

The volume of the top prism = 5 x 2 x 3 = 30

The volume of the bottom prism = 2 x 13 x 9 = 234

The total of these is 264 inches^3

NEED HELP!!!
WITH PROBLEM

Answers

Answer:

x=32 hope it helps, if it does can i get 5.0 or brainliest

Step-by-step explanation:

what's the answers for this question?

Answers

Irrational Is the answer
3/2 is rational

17.2/3 is rational

2.161616 is rational

1.46827514 is rational

29.1156 is rational

A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] The positive whole number N, when multiplied by 150, is a perfect square. What is the least possible positive whole number value for the number N?

Answers

The least possible answer 150 for n

Please help me out. I will be picking the brainiest Answer!!!

Answers

Answer: I think the answer is 63.

Step-by-step explanation:

Im sorry if im wrong.

what is the lcm of 24,30 and 36 ....pls do a step by step

Answers

24=12,6,2.......30=15,15,5.......36=18,9,3 therefore LCM = 2*2*2*3=24....2*3*5......2*2*3*3 Answer is 360

Simply the radical 125

Answers

Answer:

The answer is 5 √5

Step-by-step explanation:

Answer:

5 √5

Step-by-step explanation:

This is the simplified radical form of the square root 125(hope this is what you asked for)

He wants to wrap the present. How much wrapping paper does he need if it’s 1:00 in the afternoon and he wants to give it to her at 5:00pm?

Answers

How much wrapping paper does he have
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