The Courtney family wants to expand their rectangular patio, which currently measures 13ftby 18 ft. They want to extend the length and width by the same amount to increase the total areaby 140 ft squared. Write a quadratic equation that models the situation. YOU DO NOT HAVE TO SOLVE.

Answers

Answer 1

Answer:

hi

Step-by-step explanation:

et the number of feet they are going to expand the width and length of the patio. ... But, we also know form our problem that they want to increase the total area of the patio by 160 ... Now we can equate the expanded area of the patio and simplify: ... Write the quadratic equation in standard form: x^2- 1 = -7x.


Related Questions

A game is played with a circular spinner that contains 8 different colors. The design
of the spinner is the order in which the colors are arranged. How many ways can
this spinner be designed?

Answers

Answer:

64 ways

Step-by-step explanation:

there are 8 different colors, with 8 different possibilities on the color arrangement.

what is 25 divided by 465d

Answers

Answer:

0.0537634409. This is your answer.....

Hope it helps!!!!!

Answer:

465 divide 25  = 18.6

25 divide 465 is 0.05347634

Step-by-step explanation:

(giving brainiest)

answer this correctly

Answers

Answer:

A =224 in ^3

Step-by-step explanation:

Answer:

56in squared

Step-by-step explanation:

can someone help :(!

Answers

Im pretty sure the answer is 135.13

what is 10 2/3 in inproper numbers

Answers

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

Complete the following statement.

Mac mixes 14 ounces of red paint with 6 ounces of blue paint. The ratio of blue paint to total paint is because for every 6 ounces of , there is 20 ounces of .

Answers

Answer:

The Ratio you are looking for is 5:8

Step-by-step explanation:

Answer:

6: azul

20: lila o morado

Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73

Answers

This question is incomplete, the complete question is;

Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73

Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps. You may need an appropriate population proportion (which you actually found in a previous problem).

Some data:

Total population: 2327

Indiana residents: 1845

Other: 482

Frequency table results for Total Sales:

Count = 2327

Total Sales                          Frequency

0 to 200                                1960

200 to 400                           303

400 to 600                            53

600 to 800                             9

800 to 1000                            2

Answer:

The probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Step-by-step explanation:

Given the data in the question;

p" = Indiana residents / Total population

p" =  1845 / 2327

p" = 0.7929

Now, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 will be;

P( 0.66 < p < 0.73 ) = P{ [x1 - p" / √( p"(1-p")/n )] < p < [x2 - p" / √( p"(1-p")/n )] }

we substitute

= P{ [0.66 - 0.7929 / √( 0.7929(1-0.7929)/99 )] < p < [0.73 - 0.7929 / √( 0.7929(1-0.7929)/99 )] }

=  P{ [-0.1329 / 0.0407] < p < [-0.0629 / 0.0407] }

= P{ -3.2654 < z < -1.5455 }

= ⊕( -1.5455) - ⊕(-3.2654)

from the standard normal table;

= 0.0618 - 0.0006

P( 0.66 < p < 0.73 ) = 0.0612

Therefore, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

What is the distance between the points (6,2) and (1,-5)


PLEASE ANSWER QUICK

Answers

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract:                                                 [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add:                                                                                [tex]\displaystyle d = \sqrt{74}[/tex]

I need da answer to it and more

Answers

Answer:

The answer is 0 if there are 85 inches in the past year then there wouldn't be any in the present year.

Step-by-step explanation:

NEED HELPPPP! This is hard for me to do!

Answers

Answer:

a) This expression is simply the average of both of their hours for a full year.

b) Honestly, I'm not sure, but mathematically, its  [tex]\frac{Beth's -hours}{Arjun's-hours}[/tex], so the hours cancel out and you get the ratio of their yearly hours? Idek

c) a/12 would be the number of hours Arjun worked per month since there are 12 months in a year.

d) This one is a difference between Arjun's hourly wage to Beth's hourly wage. So, it represents how much more Arjun would have made (Arjun's hourly wage) in comparison to Beth, or vice versa (depending on who worked more hours).

c) Similar to a), this is an average of their yearly income.

Which statement about the slope of the line is true?

A. It is fraction 1 over 2 throughout the line.

B. It is 2 throughout the line.

C. The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.

D. The slope from point O to point A is 2 times the slope of the line from point A to point B.

Answers

Answer:

A

Step-by-step explanation:

sorry I don't kwon how to put it in, in explaination

Question 2 1 pts Asplaner has three sections colored green, purple, and pink. If the spinner is spun three times, how many possible outcomes are there!​

Answers

Answer:

27

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event. In this case, (M)(N)(O).

There are 27 possible outcome if the spinner is spun three times.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A spinner has three sections colored green, purple, and pink.

From the general formula of probability:

Probability = (desired outcomes)/(Total outcomes)

In our case,

the three possible outcomes of this event occurring are Green, Purple, and Purple, Green.

The desired outcomes = 3

The total outcomes = 3 x 3 x 3 = 27

Learn more about probability here:

brainly.com/question/30034780

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mark invested a certain amount at 5 % simple interest per year after 10 year he received an interest of 50000 how much did he invest​

Answers

Step-by-step explanation:

hope it helps u...........

FIFTY POINTS AND BRAINLIEST TO WHOEVER IS CORRECT. Match the ecosystem element in column 1 to the cultural characteristic it most likely affects in column 2.​

Answers

Answer:

hot weather-scant clothing

scarce food-conservation and hospitality

many lakes-use boats for trade

tall tree's with fruit-climbing skills

Step-by-step explanation:

The nature and characteristics of a specific ecosystem often has a telling effect on the behavior, attitude and culture of the residents. The correct matching principles are :

Tall trees with fruits - - - - > climbing skills Many lakes - - - - > Use boats for trade Hot Weather - - - - - > Scant clothing Scarce food - - - - - > Conservation and hospitality

Areas with tall fruit bearing trees will often result in young residents having to climb and pluck from it.

Areas surrounded by water may require both for navigation and trading.

Hot Weather condition will often require the adornment of light wears.

Scarce resources usually good for conservation purpose, as it serves a good source of income generation.

Learn more : https://brainly.com/question/13979184?referrer=searchResults

An examination class of 55% of pupil scored 70% , if 54% scored above 70%. how many scored above 70%.​

Answers

Answer:

54

Step-by-step explanation:

Let us assume the examination class is of 100 students

Now 55% scored 70%  so 55% of 100 is 55

And, the 54% scored above 70% so 54% of 100 is 54

Therefore there are 54 who scored above 70%

Hence, the same would be considered and relevant too

Russia bought 9 books for $3 each sold them making a profit of $18 for what price did she sell each book?​

Answers

Answer:

$45

Step-by-step explanation:

Profit= $18

Books = 9

Sold each at = $3

So, total CP (Cost Price)= 9*3 = $ 27

Also Profit = SP - CP

Therefore, SP = Profit + CP

= 18 + 27 = $45

There are 9 movies ranked on the summer's "must see movie list." What is the probability that you guess the summer's top two must see movies if you randomly guess?

Answers

Answer:

1/36 = 0.0278 = 2.78% probability that you guess the summer's top two must see movies if you randomly guess

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the movies are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

Top two movies, so only one outcome, which means that [tex]D = 1[/tex]

Total outcomes:

Two movies from a set of 1. So

[tex]T = C_{9,2} = \frac{9!}{2!(9-2)!} = 36[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{36} = 0.0278[/tex]

1/36 = 0.0278 = 2.78% probability that you guess the summer's top two must see movies if you randomly guess

Answer:

1.39%

Step-by-step explanation:

This is a permutation problem because order matters.

There are 9! ways to rank the summer's must-see movies.

There are (9−2)!=7! ways to choose two movies as the top two must-see movies.

P = 7!/9! = 1/72 = 0.0139

To express our answer as a percent, we multiply by 100:

0.0139 x 100 = 1.39%

WHICH NUMBER IS BIGGER? -10 OR -1 EXPLAIN *

Answers

Answer:

-1, because the number is a negative think like your in debt. which would you like to be in one dollar in debt or ten dollars in b\debt

Step-by-step explanation:

The value of Amy's car depreciated each year after she bought it. The function v(t) = 24,893(0.88)^t represents the value of Amy's car t years after she bought it. What is the rate of depreciation?

Answers

Answer:

12%

Step-by-step explanation:

Its is correct

what is the G.C.F. of 12 4 8

Answers

Answer:

4

Step-by-step explanation:

GCF = 4

4 × 3 = 12

4 × 2 = 8

Since 4 goes in both, 12 and 8, it is the GCF. Hope this helps, thank you !!

GCF 4
4x2= 8
4x3=12
Answer would be 4 yes

Please answer soon!!!

Answers

Answer:

Answer is A easy A A A A A A A

The price technology stock dropped to $9.71 today. Yesterday's price was $9.82. Find the percentage decrease.

Answers

The decrease is 0.11%

9.71 - 9.82 x 100%= 0.11

Subtract 8 - 3 3/8. Simplify the answer and write as a mixed number.

Answers

Answer:

not 100% sure but I think it's 27/8

Step-by-step explanation:

I give you all right to be mad if i'm wrong (:P)

Does anyone know where I can find revision questions that will help me in my maths Gcse?​

Answers

Step-by-step explanation: amazon they have everything

: Which expression represents the factorization of 56st – 21t?
A: . 7(8st - 3t)
B: 7t(8s - 3)
C: 3t ( 18s - 7)
D: 7s ( 8t - 3t)

Answers

Answer:

B: 7t(8s - 3)

Step-by-step explanation:

Method 1: check by expanding each of them

A: 7(8st - 3t)=56st-21t

B: 7t(8s - 3)=56st-2t

C: 3t ( 18s - 7)=54st-21t

D: 7s ( 8t - 3t)=56st-21st

Method 2: the common factors of 56st and 21t is: 7t

56st/7t=8s

-21t/7t=-3

56st-21t=7t(8s-3)

can anyone help me please? ​

Answers

Answer: I think it might be A bit Im not sure

Step-by-step explanation:

Answer:

i think its A not suree

Step-by-step explanation:

Can someone help me with this I need help

Answers

b.150 inches, the area is calculated by B x H, which is 15 x 10 in this scenario

Answer:

d)550

15 * 10 = 150; 150 * 2 = 300

5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

solve the following equation for a a-32=47​

Answers

Answer:

5

Step-by-step explanation:

because use the calculator pls ......................

XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4

Answers

I believe you would just multiply each value in the coordinates by 4.
So they would become:
X(12,-16), Y(24,20), and Z(32,-8)

The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).

Scale factor = 4

Here, X(3, -4)→4(3, -4)→X'(12, -16)

Y(6, 5)→4(6, 5)→Y'(24, 20)

Z(8, -2)→4(8, -2)→Z'(32, -8)

Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)

Answers

Answer:

[tex]\displaystyle m=\frac{-1}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (5, 5)

Step 2: Identify

x₁ = -2, y₁ = 6

x₂ = 5, y₂ = 5

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                                 [tex]\displaystyle m=\frac{5-6}{5+2}[/tex][Slope] [Fraction] Subtract/Add:                                                                      [tex]\displaystyle m=\frac{-1}{7}[/tex]
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