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!!!!

Carlos Is Digging A Pond In His Backyard As Shown. The Area Of Therectangular Backyard Is 6x + 14x -

Answers

Answer 1

The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.

The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.

The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.

The area of the circular pond is given as 3x²-4x+5 square yards.

So, the area of the gray region is:

(20x-12) - (3x²-4x+5)

= 20x-12 - 3x²+4x-5

= 3x²+10x-17

Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.

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Related Questions

The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%

Answers

Answer:

60% is the answer also give me brainliest plss

Patrice and her husband are going on a 6-mile hike. So far they have hiked
3 miles. How much farther do Patrice and her husband have left to hike?
3

Answers

Answer:

3 miles

Step-by-step explanation:

6 total miles

3 miles done

6 (total) = 3 (done) + x (unknown)

x = 6 - 3

x = 3

3 miles left to hike

hi can someone help me....can't get the answer.....you need to find a+b+c+d ​

Answers

Answer:

B) 306°

Step-by-step explanation:

1. Pentagons have a sum of interior angles of 540°

2. Triangles have a sum of interior angles of 180°

3. Knowing that triangle EFA is isosceles, we know that

   <FEA = *<FAE, so they are equal to:  (180° - <F) /2   =   (180° - 36°) / 2

   = 144° / 2  

   = 72°

4. m<A + m<B + m<C + m<D + m<E = 540°

   It is also given that **m<D = 90°,

   so therefore m<A + m<B + m<C + m<E = 450°

5. Now to find a+b+c+d   (m<a + m<b + m< c+ m<d),

       m<a = m<E - 72°    and    m<d = m<A - 72°

   This means that

   m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°

6. Finally,

m<a + m<b + m< c+ m<d  =  450° - 72° - 72°  =  306°

       

   

EXTRAS

* < is an angle symbol

** m<D means measure of angle D

2-7/9x=5/6 without fractions

Answers

Answer:

x=0.6 repeating (meaning 6 is repeating so this is a repeating decimal)

Convert 9 km into cm

Answers

Answer:

900,000

Step-by-step explanation:

choose the correct description of the system of equations. 3x-y=5 6x=2y+5 A.Consistent and independent B.Consistent and dependent C.Inconsistent D.Inconsistent and dependent

Answers

Answer:

C. inconsistent

Step-by-step explanation:

3x - y = 5                      6x = 2y + 5         Solve for y

3x - 5 =  y                      6x - 5 = 2y

3x - 5 = y                       [tex]\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}[/tex]

3x - 5 = y                       3x - 2.5 = y

Slope = 3                       Slope = 3                    Same slope

y-intercept: -5                 y-intercept: 2.5         Different intercepts

                                                                           not solution set

What is 4 percent of $128.72 ?

Answers

Answer:

124.72

Step-by-step explanation:

Answer:

Step-by-step explanation:

4% of 128.72 = 0.04 * 128.72

                    = 5.1488

Use the vertical-line test to determine whether each graph represents a function.

Answers

Answer:

14) Not a function 15) Function 16) Function

Step-by-step explanation:

The vertical line test is when you draw a line on the graph to see if it passes the function. The rule is that you can only have one intersection per line

for number 14, if you draw a line, it intersects the function twice each time

for 15, no matter what kind of vertical line you draw, each line will only intersect the function once and the same for 16 (except 16 is more of a linear function)

Answer:

Well a function can’t be on the same one as each other so thats why the vertical line test is used.

For number 14 if you’d draw a vertical line, you’d see there would be 2 answers So that can’t be a function.

For number 15, if you draw a vertical line, none of the given have 2 questions so number 15 is a function.

Whilst in number 16 if you’d draw a vertical line, there wouldn’t be anything that have 2 answers of that overlap. So it is a function

express 10500 in terms of its prime factors .
determine the smallest positive number P such that 10500P is a perfect cube​

Answers

Answer:

Below

Step-by-step explanation:

Dividing by prime numbers :

2 | 10500

2 |   5250

3 |    2625  

5 |       875

5 |        175

5 |          35

                7.

So 10500 = 2*2*3*5*5*5*7

To find the smallest positive cube  we need to multiply by 2 ( to get 3 2's in the prime factors), another 2 3's and another 2 7's

That is P = 2*3*3*7*7 =  882.

The perfect cube is 2^3*3^3*5*3*7^3 = 9261000.

help me please!! and thank you​

Answers

Answer:

(-2.5,3) is x1 y1 respectivelly. Apart from this, what part of the question are you struggling with?

7x-2y=-29
9x+10y=13
emliantion substuion methd

Answers

Answer:

(-3, 4)

Step-by-step explanation:

5(7x - 2y = -29)

35x - 10y = -145

9x + 10y = 13

44x = -132

x = -3

7(-3) - 2y = -29

-21 - 2y = -29

-2y = -8

y = 4

[tex]\frac{4x}{5}+\frac{5x}{6}[/tex]

Answers

Solving:

To solve this issue, first we have to match the denominators, for this we have to take the LCM from the denominators 5.6, Then just solve the fraction normally, See:

[tex]\sf \dfrac{4x}{5}+\dfrac{5x}{6}\to LMC~(5,6)=30\\\\\\\sf =\dfrac{24x}{30}+\dfrac{25x}{30}\\\\\\\sf =\dfrac{24x+25x}{30}\\\\\\\boxed{\sf \frac{49x}{30}}[/tex]

Okay?!

what is the inequality for the graph

Answers

Y >= 2X - 5

Step-by-step explanation:

yeah-ya..... right?

You surprised your friends with a trip to a haunted house this weekend. The admission tickets were $8 per friend. You had to pay an additional $5 for parking and you spend $20 on food. You also got your friends a card that was $2 per friend. At the end of the night, you spent $105. How many of your friends did you bring to the haunted house?

Answers

Answer: 8

Step-by-step explanation:

Ok, start going backwards with the addition and substration which makes it:

105 – 25 = 80

Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:

80 divided by 10 = 8

8 Friends is the answer.

1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.​

Answers

Answer:

16.49%

Step-by-step explanation:

0.97+16.49%=1.129953

The percentage increase is 16.49%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100)

We are given that the price of a newspaper increased from $0.97 to $1.13

WE need to find the percentage increase.​

Therefore,

Intital price = 0.97 ( 1.13 - 0.07)

= 0.16 / 0.97 x 100

= 16/0.97

= 16.49

0.97+16.49%  = 1.129953

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I’ll give brainliest, thanks and 5 stars

the diameter of a pool is 28 m. the circumference of the deck is 101 m. what is the area of the pool and deck?

Answers

Answer:

ok

Step-by-step explanation:

soln,

d=28m

r=d/2=28/2

=14m

now,

[tex]\pi {r}^{2} [/tex]

22/7×(14×14)

22/7×196

=616m^2

Properties of Exponents-
Simplify (4a⁵b⁶)⁴ ​

Answers

~exponent

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

(4a⁵b⁶)⁴

= 4⁴ × (a⁵)⁴ × (b⁶)⁴

= 256 × (a⁵)⁴ × (b⁶)⁴

= 256a²⁰ × (b⁶)⁴

= 256a²b² ✔️

~ nice to help you ^^

☆Answer :

(4a⁵b⁶)⁴ = ?

= 4⁴ (a⁵)⁴ (b⁶)⁴

= 256a²b²

1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.

Answers

1000x1.05^2 =£1102.5

Answer:

A = £1102.50

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.

Here A = £1000·(1 + 0.05)^2, which evaluates to  A = £1102.50



1.Find the missing fraction, decimal, or percent. Reduce fractions to the lowest terms.

Question: 93% what is the equivalent fraction and decimal?

Hint: separate your answers for the missing information with a comma make sure not to have

additional spaces in your answers. Ex: 93/100,93 Ex: 93%,.93 Ex: 93/100,93%*

Answers

Answer:

93/100 as a fraction. 0.93 as a decimal.

Step-by-step explanation:

Convert 4g into mg please- i'll give you 10 points

Answers

Answer:

4000 mg

Step-by-step explanation:

4grams · 1000 = 4000 milligrams

Answer:

4000 mg

Step-by-step explanation:

What is six times a number in algebraic expression

Answers

Answer:

6(x)

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

x represents a number, it is also called a variable.

If there is 2 of x, it would be represented like this: 2x

If there is 1 of x, it would be represented like this: x

ℎ ℎ 22 2 22 2− 3 +10

Answers

Answer:

wouldn't the answer be 9

Step-by-step explanation:

Answer:

22h^2 + 33 (added) .    h⋅h⋅22,2,22,2−3+10 (subtracted)

Step-by-step explanation:

I don't understand what you want so I will list lots of answers hopefully it helps. Please message under my answer for more solutions so I can help you but I hope this started to help you.

David is a salesman for a local Ford dealership. He is paid a percent of the profit the dealership makes on each car. If the profit is under $800, the commission is 25%. If the profit is at least $800 and less than $1,000, the commission rate is 27.5% of the profit. If the profit is $1,000 or more, the rate is 30% of the profit. Find the difference between the commission paid if David sells a car for a $1,000 profit and the commission paid if he sells a car for a $799 profit?

Answers

Answer:

At the city museum, child admission is $5.90 and adult admission is $9.20. on sunday, 144 tickets were sold for a total sales of $1136.70 . how many adult tickets were sold that day?

Step-by-step explanation:

The required difference between the commission paid is $100.25 when David sells a car for a $1,000 profit and for a $799 profit.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have to determine the difference between the commission paid if David sells a car for a $1,000 profit and the commission paid if he sells a car for a $799 profit

The profit = $1,000

The profit is $1,000 or more, the rate is 30% of the profit.

So, the commission paid :

⇒ 30% of $1,000 = $300

The profit = $799

The profit is under $800, the commission is 25%.

So, the commission paid :

⇒ 25% of $799= $199.75

The required difference between the commission paid :

⇒ $300 - $199.75 = $100.25

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Riley is saving up to buy a new television. She needs a total of $1,164.38. Riley has saved $200.66 already and earns $80.31 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

1. First we can subtract $200.66 from $1,164.38 to find how much Riley has left to save: $963.72

2. Now we can divide $963.72 by how much Riley earns in a week $80.31 to find the number of weeks: 12 weeks

Answer: 12 weeks

Hope this helps!

Plzzzz help mee I forgot how to do it

Answers

Answer:

100011 is the base number.

Step-by-step explanation:

Best of luck friend

The breadth of rectangle is 2cm .less then its length and its perimeter is 24cm.Find the length and breadth of rectangle

Answers

let Length=l

therefore breadth=l-2

A/Q

P=24

2(l+b)=24

2(l+l-2)=24

2(2l-2)=24

4l-4=24

4l=28

l=28/4

=7

When a child is more than two standard deviations underweight for his or her age, the child is suffering from a condition called _____.

Answers

Stunting is the impaired growth and development that children experience from poor nutrition, repeated infection, and inadequate psychosocial stimulation. Children are defined as stunted if their height-for-age is more than two standard deviations below the child growth standard

I’m downloading a 50 gigabyte game at a rate of 5.5 megabytes per second. How many hours would it take to finish installing.

Answers

Answer:

It will take 20.2 Hours to finish By the way? What game are you playing???

Answer:

  2.6 hours to download; installation time is unknown

Step-by-step explanation:

We assume there are 1024 MB in 1 GB, so the time required is ...

  time = quantity/rate

  time = 50(1024 MB)/(5.5 MB/s) ≈ 9309.1 s

There are 3600 seconds in 1 hour, so this is ...

  9309.1 s/(3600 s/h) ≈2.5858... h ≈ 2.6 hours . . . to download

__

This is the time expected for the download. We have no information about the installation time, so we cannot tell you how long it would take to finish installing.

If you guys know how to do this lemme know, thanks :))

Answers

Answer:

A 65

Step-by-step explanation:

x = -5

y = -8

-5 - 5 (-8)^2 / -5 = -325 / -5

= 65

Answer:

65

Step-by-step explanation:

So, this expression is asking us to solve an equation when x = -5 and y = -8.

When asked to solve problems like this, all we have to do is plug in the numbers accordingly

[tex]\frac{x-5y^2}{x} ---->\frac{(-5)-5(-8)^2}{(-5)}[/tex]

Now, we can simplify using PEMDAS

[tex]\frac{-5-5(64)}{-5} = \frac{-5-320}{-5} = \frac{-325}{-5} = 65[/tex]

Please correct me if i'm wrong :)

What is the slope of the line ?

Answers

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.

I'll use (-2, 0) and (3, 4) here

To calculate slope:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.

Plug in those 2 points and solve:

[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]

Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).

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