The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 234 square feet, what are the dimensions of the garden?

Answers

Answer 1

Answer:

The garden is 9 feet wide and 26 feet long.

Step-by-step explanation:

L = W+17

area = LW = 234

(W+17)W = 234

W²+17W-234 = 0

Quadratic formula

W = [-17 ± √(17² – 4·1(-234))] / [2·1]

 = [-17 ± √1225] / 2

 = [-17 ± 35] /2

 = -26, 9

-26 is an extraneous solution

W = 9

L = W+17 = 26

The garden is 9 feet wide and 26 feet long.


Related Questions

Noah wanted to check his solution of x = 14/5 for the equation 1/2 (7x - 6) = 6x - 10 substituting 14/5 for x, he writes the following

Find the incorrect step in Noah's work and explain why it is incorrect

PLEASE HELP ME ​

Answers

Answer:

Line 4 is incorrect. Noah applied the distributive rule incorrectly.

Step-by-step explanation:

The incorrect step in Noah's work is fourth step that is :

[tex]7.14-6=12.14-20[/tex]

We have equation [tex]\frac{1}{2} (7x - 6) = 6x - 10[/tex]

Substituting [tex]x=\frac{14}{5}[/tex] in the given equation

[tex]\frac{1}{2} (7(\frac{14}{5} ) - 6) = 6((\frac{14}{5} ) - 10\\ (7(\frac{14}{5} ) - 6) = 12((\frac{14}{5} ) - 20\\ 5(7(\frac{14}{5} ) - 6) = 5(12((\frac{14}{5} ) - 20)\\7.14-5.6=12.14-5.20\\98-30=168-100\\68=68[/tex]

So, here in the given solution we observe that the fourth step is incorrect.

Since 5 is not multiplied to 6 and 20.

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I need help please.

Answers

The answer should be C
54*30/100= 16.2
54-16.2 = 37.80

Answer:

C. 37.8

Step-by-step explanation:

Original Price is 54 dollars

30% Discount=0.3*54=16.2

Price after 30% off

54-16.2=37.8

I NEED HELP WITH THIS PLS I WILL MARK YOU AS BRAINLIEST PLS AND TY​

Answers

Answer:

1 no 2 and 3 yes

Step-by-step explanation:

do the vertical line test

if the line going vertical hits the line twice then its not a function

1 is not a function

2 is and 3 is a function

{ x + y = 158
x- y = 112

Answers

Answer:

i have know

Step-by-step explanation:

In APQR, PR is extended through point R to point S, mZQRS = (7x+8)°,
mZRPQ = (x +12)', and mZPQR= (3x + 20°. Find mZRPQ.

Answers

Answer:

Wait what?

Step-by-step explanation:

Answer:

I'm sorry but I don't know

Step-by-step explanation:

I am sorry I needed the points.

Simplify
57
leaving your answer in index form.

Answers

2(3) - (the cube number )x 7 + 1

Luisa deposits $44.60 to her bank account on Tuesday morning. on Wednesday, she withdraws $66.30 on Thursday, she wildew $30 Which answer choke represents the balance in her account on Thursday?

A $51.70

B $140.90. C $ -22.00. D $-51.70

Answers

Answer:

The answer is D- $- 51.70

The answer choke represents the balance in her account on Thursday is  D $-51.70

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Luisa deposits $44.60 to her bank account on Tuesday morning. on Wednesday, she withdraws $66.30 on Thursday, she wildew $30

Using the data from the question, we can create the following equation to solve.

44.60 - (66.30 + 30 ) = x

44.60 - (96.30 ) = x

-51.70 = x

As we  can see Luisa withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit.

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there are 650 fruits in a fruit stand, which 208 are mangosteen. how many percent are mangoesteen?​

Answers

Answer:

32%

Step-by-step explanation:

Given data

Total number of fruits = 650

number of mangosteen= 208

The pecentage of mangosteen is

= 208/650*100

=0.32*100

=32%

Hence the perncetage of  mangosteen is 32%

Why did the river get less polluted as it went down stream?
Group of answer choices

magic

pollution was diluted

evaporated

bacteria ate it

Answers

Answer:

Pollution was diluted

Step-by-step explanation:

Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed. a. What is the probability that their offspring will have pink skin? b. What is the probability that the first and second off- spring will have black skin? c. If these pigs produce a total of three piglets, what is the probability that two will be pink and one will be black?

Answers

Answer:

[tex]P(Pink) = \frac{1}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black

Step-by-step explanation:

Represent the pink skin with P and the black skin with B.

Since black skin is dominant to pink skin, there will be more occurrence of B than P

The punnet square for the breeding of the two pigs is then represented as:

[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]

Solving (a): Probability of Pink

In the above square, there is only 1 occurrence of P out of a possible of 4.

So, the probability is:

[tex]P(Pink) = \frac{n(P)}{4}[/tex]

[tex]P(Pink) = \frac{1}{4}[/tex]

Solving (b): Probability that first and second are black

In the above square, there is only 3 occurrence of B out of a possible of 4.

[tex]P(Black) = \frac{n(B)}{4}[/tex]

[tex]P(Black) = \frac{3}{4}[/tex]

So, the probability that both are black is:

[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]

[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

Solving (c): Probability of two pink and 1 black

This is calculated as:

[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]

[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]

[tex]Probability = \frac{3}{64}[/tex]

A) The probability that their offspring will have pink skin is; ¹/₄

B) The probability that the first and second off- spring will have black skin is;

9/16  or 56.25%

C) The probability that two will be pink and one will be black  If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%

Mendel's law of dominance

To answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.

Now in this question, we are told that;

black skin colour is dominant to Pink skin colour in pigs.

Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"

Now when the heterozygous pigs specified as "Pp" are crossed, we have;

Pp × Pp = PP, Pp, Pp, pp

where;

PP and Pp denotes black pigs is denoted pp denotes pink pigs

(a) From the 4 cross possibilities above;

Probability that their offspring will have pink skin = ¹/₄

(b) From the 4 cross possibilities gotten earlier;

Probability that their offspring will have black skin = ³/₄

Thus;

Probability that the first and second off- spring will have black skin is;

³/₄ × ³/₄ = 9/16  or 56.25%

(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;

P(2 pink and 1 black) =   ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%

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DUE IN 5 MINUTES!!!1!!11!1!!1
123 + 392 - 234 x 2 ÷ 3 + 223 x 14 =

Answers

Answer: 3481

Step-by-step explanation:

which of these statement is true about this graph

Answers

Answer:

Step-by-step explanation:

C

Answer:

the graph is nonlinear because its not touching the 0

Evaluate y=3x for x=2.
y=

Answers

Answer:

y=6

Step-by-step explanation:

y=3x     x=2

y=3(2)

y=6

For the given expression, the value of y is 6.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ y = 3x

Now, For value of x = 2;

The value of y is,

⇒ y = 3x

Substitute x = 2;

⇒ y = 3 × 2

⇒ y = 6

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Simplify Fourth root of 196

Answers

Answer:

Exact Form:

√14

Decimal Form:

3.74165738

Step-by-step explanation:

1. extends both north and south of the Equator
(1 Point)
A. the Caribbean
B. South America
C. hunter-gatherers
D. Yucatán
E. mounds

Answers

Answer:

South America

Step-by-step explanation:

solue each by trial and error method.. 3+x=8​

Answers

Answer:

x=5

Step-by-step explanation:

Move the constant to the right-hand side and change its sign. Then subtract the numbers.

Answer:

X=8-5

X=5

Step-by-step explanation:

plz mark me as brainliest

find the value of x in the equation below. 18 = x - 10

Answers

Answer: x= 28

Step-by-step explanation:

18=28-10

18=18

A cliff diver jumps from a height of 58 feet with an initial velocity of 4 feet per second.

Answers

Answer:

The answer is 6 seconds

     

What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?

Answers

Answer:

x = (-150)/49

Step-by-step explanation:

Solve for x:

49 x + 150 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 150 from both sides:

49 x + (150 - 150) = -150

Hint: | Look for the difference of two identical terms.

150 - 150 = 0:

49 x = -150

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 49 x = -150 by 49:

(49 x)/49 = (-150)/49

Hint: | Any nonzero number divided by itself is one.

49/49 = 1:

Answer: x = (-150)/49

Find the area of the circle.







​Use \mathrm{\pi } = 3 . 14π=3.14 and round your answer to the nearest hundredth.

Answers

Answer:

The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]

Step-by-step explanation:

We need to find area of the circle

(Note: The data is missing in this question, so I will just explain how to find area of circle.)

The formula used to find area of circle is: [tex]Area=\pi \:r^2[/tex]

where r is radius of circle.

So, If we have value of r and we put π = 3.14, we can find area of circle.

Let us suppose that Radius of circle r = 5

Now, the area of circle having radius 5 is:

[tex]Area=\pi \:r^2\\Area=3.14 \times (5)^2\\Area=3.14\times 25\\Area=78.5[/tex]

So, when radius of circle is 5, Area of circle is 78.5

So, Using the radius given in your question, you can find area of circle.

Convert the following recipe for 12 portions so that it yields 60 portions.
Stir Fried Chicken
3 lb chicken 6 oz. soy sauce 1 lb. green peppers
1/2 lb. scallions 2 oz ginger
2 cups Water

Answers

Answer:

15lb chicken 30 oz. soy sauce 5lb. green peppers

2 1/2 lb. scallions 10 oz. ginger

10 cups Water

To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,

30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given  12 portions of  Stir-Fried Chicken requires 3 lb chicken 6 oz.

soy sauce 1 lb. green peppers

1/2 lb scallions

2 oz ginger

2 cups Water.

∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.

So,  60 proportions of  Stir-Fried Chicken requires (3×5) = 15lbs of chicken,

(6×5) = 30 oz of soy sauce,  (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.

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What is the expanded notation fraction of 810.435

Answers

Answer:

800.000 + 10.000 + 0.000 + 0.400 + 0.030 + 0.005

800+10+0.4+0.03+0.005

During a promotional event a sporting goods store gave a free t-shrit to every 10 customer and a free water bottle to every 15 customer which customer has the first to get a free t-shirt and a free water bottle

Answers

9514 1404 393

Answer:

  30th

Step-by-step explanation:

The least common multiple of 10 and 15 is 30.

  30 = 10×3 = 15×2

The 30th customer will be the first to receive both promotional items.


What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest?

Answers

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest =  $137.50

Principal= $500

time = 5 years

We want to find the rate  R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

Find a linear equation whose graph is the straight line with the given property.
Through (0.5, -2.25) and (1, -5.25)

Answers

Answer:

Step-by-step explanation:

-5.25+2.25         - 3

1-0.5                 = 0.5

=-6 =m

y=-6x

Find the area of the figure.

Answers

Answer:

Width X Lenght =Area

Step-by-step explanation:

3 X 4= 12m

Write the phrase as an expression.

5 less than 8

An expression is

Answers

Answer:

the expression is 5 - 8

which is -3

or

the expression is 5 < 8

f(x) = 4+9x, find f(-3)

Answers

Answer:

R3EWS.

Step-by-step explanation:

What is 0.63 divided by 0.18

Answers

Answer:

The answer is 3.5. I have included a screenshot that shows the work and how to get 3.5. I hope this helps!

And by the way yes, I do know this is a kinda old question, but I would like points and I have the answer.

:D

- Your friendly (a little bit late) responder!

When you divide 0.63 by 0.18, you get the result of 3.5.

To find the result of dividing 0.63 by 0.18, perform the division as follows:

0.63 ÷ 0.18 = 3.5

When you divide 0.63 by 0.18, the result is 3.5. This means that there are 3.5 sets of 0.18 in 0.63. To verify this, you can multiply 0.18 by 3.5:

0.18 × 3.5 = 0.63

So, 0.63 divided by 0.18 equals 3.5.

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Question need help very hard pls

Answers

Well I think the scale is number 7 because
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