Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?


Please answer!!!!

Area models are used to evaluate products and divisions

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

The division equation is given as:

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]

Express 79 as 77 + 2

[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]

Split the expression on the left-hand side

[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]

Divide 77 by 7

[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]

2 divided by 7 is 0 with a remainder of 2

So, we have:

[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]

The equations above are not equal.

This is represented as:

[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]

Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

Read more about area models at:

https://brainly.com/question/18701102

Answer:

x = 3

Step-by-step explanation:

x² + 15  =  x² + 5x

      15 = 5x

      15 ÷ 5 = x

          3 = x

Answer:

I think it's called a term.

Hope this helps :)

Answer:

D. x = 12.4

Step-by-step explanation:

A. (2.4) - 5 = 7.4

-2.6 = 7.4

B. (6.9) - 5 = 7.4

1.9 = 7.4

C. (7.9) - 5 = 7.4

2.9 = 7.4

D. (12.4) - 5 = 7.4

7.4 = 7.4

Answer:

Step-by-step explanation:

26. -14

27. -4.732050808

Answer:

26.  (-14)

27.  −4.732050808

Step-by-step explanation:

26.  [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]

Multiplication can be transformed into difference of squares using the rule:

(a − b) (a + b) = a² - b²

[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]

The square of √2 is 2.

[tex]2 - 4^{2}[/tex]

Calculate 4 to the power of 2 and get 16.

2 - 16

Subtract 16 from 2 to get −14.

27.  [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]

Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.

[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]

The square of √3 is 3.

[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]

Combine -3√3 and 2√3 to get -√3.

[tex]3-\sqrt{3} -6[/tex]

Subtract 6 from 3 to get −3.

-3 - √3

Refer to the attachment

Soo :

2a + 3b = 325

2a + 7b = 505 -

-4b = -180

4b = 180

b = 45

[tex] \: [/tex]

2a + 3b = 325

2a + 3(45) = 325

2a + 135 = 325

2a = 325 - 135

2a = 190

a = 95

Answer:

F because you cannot prove that any of the angles are the same with only one set of parallel lines

Answer:

x = -6

Step-by-step explanation:

[tex]x+3-3=-6~(Given)\\x=-6~(Combine~like~terms)[/tex]

Answer:

x + y - 5 = 0

Step-by-step explanation:

(x-4)² + (y+3)² = 16

To remove the square on the left side, we square root both sides

√(x-4)² + √(y+3)² = √16

The square will cancel the square root on the left side, while the square root of 16 is 4

(X-4) + (y+3) = 4

open the brackets

x-4+y+3=4

x + y = 4 + 4 - 3

x + y = 5

x + y - 5 = 0

Answer:

0.11<0.12<0.2<0.3

Step-by-step explanation:

Answer:

0.11, 0.12, 0.2, 0.3

Step-by-step explanation:

pls brainliesttt

Step-by-step explanation:

5x

Добро пожаловать

the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+

Work Shown:

[tex]g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\[/tex]

Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.

The notation [tex]g(f(x))[/tex] is the same as writing [tex](g \circ f)(x)[/tex]

Answer:

f(x)= 40x

Step-by-step explanation:

Hope this helps, have a nice day/night! :D

Answer:

y=3x - 8

Step-by-step explanation:

first find slope

10 - 7/6 - 5 = 3

Point - slope

y = 3(x-6)+10

Simplify

y = 3x-18+10

y=3x - 8

Answer:

Coefficient is 5

Step-by-step explanation:

Coefficient means a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Hope this is helpful.

20+3(3y-4x)

if x=4 y=6

20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26

answer: 26.

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's Simply ~

Therefore, the correct choice is ~ A

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

Explanation:

10 minutes = 10/60 = 1/6 of an hour

Divide the distance over the time duration to find his speed

speed = distance/time

speed = (16.5 miles)/( 1/6 hr )

speed = 16.5*(6/1) mph

speed = 99 mph

Then subtract off the speed limit posted by the sign.

99 - 70 = 29 mph

Adnan is 29 mph over the speed limit.

Answer: 29 miles/hour (mph)

Step-by-step explanation:

10 minutes is 0.16667 hour (hr).

16.5 miles/0.16667 hr = 99 mph

99 - 70 = 29 mph

To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.

With that being said, let's begin.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Simply add 8.

11: 11, 22, 33, 44, 55, 66, 77, 88

Simply add 11.

The greatest common factor of 8 and 11 is 88.

Answer:

The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

We can mark the blue cars as x, so now, we have 9:7, and 72:x, we can use cross multiplication to get the value of x, 72*7 = 9x, which we can simplify into 504 = 9x, and can divide both sides by 9 to get 56 = x.

Hope it helped!

Answer:

35

Step-by-step explanation:

1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.

Therefore, the answer is 35.

Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015

Step-by-step explanation:

howdy the answer is A

sqrt 2

Answer:

22

Step-by-step explanation:

it's 22 percent I don't get how do u need help

Answer:

9x-10

Step-by-step explanation:

(4x+10) - (-5x+20)

Open the brackets

4x+10+5x-20

Collect like terms

4x+5x+10-20

9x-10