A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance x to the length and width. Write and solve an equation to find the value of x. What are the dimensions of the enclosure?

Answers

Answer 1

Answer:

the value of x is 10

Step-by-step explanation:

Answer 2

The new length is 35+10=45 and the new width is 18+10=28.

What is Area of Rectangle?

Area of rectangle is length times of breadth.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x2=1260

x2+53x+630-1260=0

x2+53x-630

Now use the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

Hence the new length is 35+10=45 and the new width is 18+10=28.

To learn more on Area of rectangle click:

https://brainly.com/question/20693059

#SPJ2


Related Questions

Please answer ASAP!!!

Answers

Answer:

The second one, I believe.

Step-by-step explanation:

. Solve the equation. -3/4 (x - 3) - 5 = 1/8 (x - 1) *​

Answers

[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]

[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]

[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]

[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]

[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]

[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]

[tex] - 7x = 21[/tex]

[tex]x = \frac{21}{ - 7} [/tex]

[tex]x = - 3[/tex]

I don’t understand please help!!!

Answers

Answer:

The answer

Step-by-step explanation:

Explanation

PLEASE HELP (100 Points!!!)

Answers

Answer:

1. E)2. C)

Step-by-step explanation:

1.

Step E)

The mistake is:

2x - 5 on the numerator

Correct way is:

3 - (2x - 8) = 3 - 2x + 8 = 11 - 2x

2.

Step C)

The mistake is:

5x = x² + 4  

Correct way is:

5x =  (x+2)²5x = x² + 4x + 4

Answer:

First picture the step E is incorrect because:

[tex]\frac{3}{(x+4)(x-4)} -\frac{2x-8}{(x+4)(x-4)}[/tex]

[tex]=\frac{-2x-5}{(x+4)(x-4)}[/tex]

Instead you should change the step E to be: [tex]\frac{-2x-5}{(x+4)(x-4)}[/tex]

Second picture the step C is incorrect because:

[tex](\sqrt{5x})^{2}[/tex] =[tex](x+2)^{2}[/tex]

[tex]5x = x^{2} +4x+4[/tex]

[tex]not[/tex] [tex]5x=x^{2} +4[/tex]

Instead you should change the step C to be: [tex]5x = x^{2} +4x+4[/tex]

Change step D to:

[tex]5x -x^{2} -4x -4=0[/tex]  

Change step E to:

[tex]x^{2}-x+4=0[/tex]

Change step F to:  

[tex]x=\frac{1+-\sqrt{1-16} }{2}[/tex]

x∉R

   

HOPE IT'S HELP U

IF IT'S WRONG I'M SORRY:3

   

 

Graph the intercept.
What are points?

Answers

Answer:

start at 0 and go up 3 and put a point  (your x)

start at 0 and also go up 5 and put a point  (your y)

draw  LINE HORIZONALY ACROSS THE  (LEFT TO RIGHT ) on each line

you should have two horizonal lines parallel

Step-by-step explanation:

i dont know how to answer this question can anyone help plzz?

Answers

x+30=180

x=150

So your answer is 150

Gerald inherited $35,000 from his uncle. He spends $1400 a month. After how many months
will Gerald have less than $2,000?

Answers

Answer:

18 months

Step-by-step explanation:

35,000÷18=1944

First, we need to figure out the amounts of months that Gerald has total, with all of the money.  So, we divide 35000 by 1400, this leaves us with 25.  So, if he keeps spending 1400 per month, it will last him 25 months, but this is not what the question asks, is it?  In 25 months, his inheritance will be fully depleted, in 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left (35000 - (24 * 1400))and in 23 months, he will have spent 32,200 dollars, meaning that he will have 2800 dollars.  

"In 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left 35000 - (24 * 1400)"

35000 - (24 * 1400)

24 months

katie has 4 grapes candies and 3 cherries candies. The ratio of the number of grapes candies to the total number of candie is

Answers

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

Identify the coordinates of the vertices of each figure after the similarity transformation.

Answers

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

W(-4, 8)X(-4, 0)Y(-12, 4)Z(-8, 16)

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

a symbol that stands for a quantity that can change or have any one of a set of values.

Answers

Answer:

Variable

Step-by-step explanation:

find the missing exponent 7^(?)*(7^(5))^(4)=7^(34) place only the missing exponents value in the answer box

Answers

9514 1404 393

Answer:

  14

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

(7^?)(7^5)^4 = 7^34

(7^?)(7^20) = 7^34 . . . . simplify power of power

7^(?+20) = 7^34 . . . . . . simplify product

? +20 = 34 . . . . . . . . . .  equate exponents of the same base

? = 14

Answer: 14

Step-by-step explanation:

Find the value of x.

I tried 40 but it told me it was incorrect.

Answers

Answer:

44

Step-by-step explanation:

90 - 43 = 47

x + 3 = 47

x = 47 - 3

  = 44

I think the answer is 44. Pls check and correct me if I'm wrong.

The regular price of a dress is $80. The price
has been marked up by 23%. What is the
amount of markup?
[A] $18.40
[B] $57.00
[C] $23.00
[D] $61.60

Answers

Answer:
A $18.40

Explanation:

Answer:

A

Step-by-step explanation:

you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what is the scale factor for the map.

Answers

Hello betzy166817!

The correct answer is: 250 miles per inch.

You can multiply the number of inches on the map by 250 to find the number of miles.

#LearnWithBrainly

https://brainly.com/question/19520943

2
-12-11-10-9-8-7 -6 -5 -4 3-2
1
3 4 5 6 7 8 9 10 11 12
عا م
06 is
-4
-5
6
-7
-8
-9
-10
-11
-122
Answer:
Submit Answer
φ
or
U
00
>
2
(
(

Answers

Answer:

3

Step-by-step explanation:

you have to do it then multiply by three

Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?

Answers

Answer:

points

Step-by-step explanation:

She picked 22 peaches first

Please help the best you can!!

Answers

I think it is no how this help

The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.

Answers

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]

Putting values in formula and finding x

[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]

So, the original length of each side of the equilateral triangle = x =15 inches

what do we know?

what do we need to know ?​

Answers

Answer:

we need to know how many students got a B or higher by those 25 students

Step-by-step explanation:

whats (14-7) multiplied by (40-32) plz gib right answer!

Answers

Answer:

56

Step-by-step explanation:

(14-7) x (40-32) = 7 x 8

                         = 56

Hope you understood :)

56 because it shsshshshshshshsshshshshshsh

find x and y

2x+4y=8
x=3y-

Answers

Answer:

If the "-" after "3y" is a typo, then y = 8/7, x = 24/7

Step-by-step explanation:

The value of 7 in 7.825 is 10 times 1 time or 1/10 times the value of 7 in 3.7

Answers

Answer:

It is ten times the value of the seven in 7.835

Step-by-step explanation:

7.825 x 1/10 = .7825

3.7 x 10 = 37

The seven shifted to the right in place value.

I hope this helps.

Answer:

10 times

Step-by-step explanation:

7 divided 0.7=10

Find the value of x that makes each parallelogram the given type (answer both please)

Answers

Answer:

a. x = 12

b. x = 4

Step-by-step explanation:

a. RECTANGLE

ABCD is a rectangle, AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

10x + 8 = 9x + 20

10x - 9x = 20 - 8

x = 12

b. RHOMBUS

Diagonal of a rectangle bisect opposite angles.

Therefore,

(5x + 3)° = (2x + 15)°

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

The value of x for a rectangle will be 12.

The value of X for a rhombus is 4.

What is a parallelogram?

A basic quadrilateral containing two sets of side lengths is known as a parallelogram. There are four types of parallelograms each with diffrent kinds of properties.

a. RECTANGLE

ABCD is a rectangle, Therfore the diagonals that are made will also be equal.

AC = BD

[tex]10x +8 = 9x + 20\\10x - 9x = 20 - 8[/tex]

x = 12

b. RHOMBUS

As this is a rhombus that is presented, the angle which is divided with the help of the diagonal will both be equal.

5x + 3 = 2x + 15

5x - 2x = 15 - 3

Simplifying the equation,

3x = 12

x = 12/3

x = 4

Learn more about parallelogram, Here:

https://brainly.com/question/29147156

#SPJ2

what is the slope and y-intecept in y=3/2x+3.

Answers

Answer: its a positive slope

answer:

Step-by-step explanation:

but i dont know the y-intercept tho

The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda: A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups. What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda? (1 point) a 2:1 b 1:2 c 8:1 d 1:8

Answers

Answer:

2:1

Step-by-step explanation:

I took the test

Answer:

I would say 2:1 too because for the grape, 2 is the first number which is alligned with 1 on lemon-lime

hope this helps!

Step-by-step explanation:

What is the number in standard form?

Answers

Answer:

D-87,100,000

Step-by-step explanation:

Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.

Please mark as brainliest

What is the equation in slope-intercept form of the line that crosses the x-axis at (36, 0) and is perpendicular to the line represented by y=−49x+5

Answers

Answer:

y = 1/49x

Step-by-step explanation:

perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0

Answer:

b

Step-by-step explanation:

What is this answer plz help

Answers

Answer:

y=-3/4

i think

easy question... if someone starts with 100$ and adds 50 each week, how much will they have after 1 year

Answers

Answer:

They would have about $2500 after one year

Step-by-step explanation:

After a year they would have 2,500

Maisie bought a house.
The value of the house decreased by 10% in 2016.
For three consecutive years, 2017, 2018 and 2019 the value of the house
increased.
Each year the percentage increase in value was the same each time.
The value of the house at the end of 2019 was 55.52% more than he paid for
the house.
Calculate the percentage increase in value of the house for each of the three
consecutive years.

Answers

The percentage increase in the value of the house each of the three years is 11.49%.

What is the percentage increase in the value of the house?

The equation that can be used to represent the percentage change in the value of the house is:

(100x - 10%) + 3x% = 55.52%

90% + 3x = 55.52%

90% - 55.52% = 3x

34,48% = 3x

x = 34.48/3

x = 11.49%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

Other Questions
Write a function that returns a pointer to the maximum value of an array of float ingpoint data: double* maximum(double* a, int size) If size is 0, return NULL. Got the answer thanks PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:(( Which of the following are valid variable names? Select 2 options.A. Cost$4B. 4thNumberC. Fourth_numberD. Num4 E. $4costPlease answer asap Determine if the two triangles are congruent. If they are, state how you know.1)2) Read this excerpt from White Fang.At last [White Fangs] nose touched the canvas. He waited. Nothing happened. Then he smelled the strange fabric, saturated with the man-smell. He closed on the canvas with his teeth and gave a gentle tug. Nothing happened, though the adjacent portions of the tepee moved. He tugged harder. There was a greater movement. It was delightful. He tugged still harder, and repeatedly, until the whole tepee was in motion.What is revealed about White Fang through his interaction with the tepee?a. his frustration with things he does not understandb. his natural instinct to explore his environmentc. his dislike of things related to peopleb. his determination to escape back into the wild Rebotar Inc. makes basketballs. Their fixed costs are $3,450. Variable costs are $12 per basketball. If the basketball is priced at $25 and 300 basketballs are sold, did Rebotar break even? How do you know? Show all work Which of the following is NOT one of the main five food groups from which you shouldeat most of your foods?O Vegetables O Fats, Oils, and SweetsO Grains O Protein Find The slope of the line that passes through (3,15) and (6,10) A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form Write a calculator program that will allow only addition, subtraction, multiplication & division. Have theuser enter two numbers, and choose the operation. Use if, elif statements to do the right operation basedon user input. A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up each container by $0.90, how much does the restaurant pay for each container of juice wholesale?$0.51$0.83$1.20$1.58 How to do this question plz answer As the price level rises ceteris paribus people holding some of their wealth in monetary form because:_____a. less wealthy and they buy less.b. more wealthy and they buy more.c. less wealthy and they buy more.d. more wealthy and they buy less 2. Suppose the State bank of Pakistan instructs its Trading Desk to purchase Pkr 5 billion of securities. Analyze the result of this transaction on the balance sheets of the State bank of Pakistan and commercial banks? Simplify each expression (2a^4)^-3,a does not =0 Read the following excerpt and answer the question that follows.Anne (pulling out a pasteboard-bound book). A diary! (She throws her arms around her father.) I've never had a diary. And I've always longed for one. (She looks around the room.) Pencil, pencil, pencil, pencil. (She starts down the stairs.) I'm going down to the office to get a pencil.Mr. Frank. Anne! No! (He goes after her, catching her by the arm and pulling her back.)How does this dialogue about the setting affect Anne's perception of their situation?She wants to go downstairs to the office to get a pencil.She is angry that her father will not let her listen to the radio.She begins to understand the seriousness of their circumstances.She is excited to have a diary to record her experience in the Secret Annex. Please give me the answer to these right away. the frequency of an activity refers to the A. Length of time it takes for an exercise or group of exercises to be complete B. classification of exercise C. amount of energy exerted while performing and exercise D. number of times an exercise or group of exercises is performed Within certain amount of time frame Use the given information to write the equation of the line.slope 2, y-intercept - 4