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.

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Related Questions

Tell whether the triangle with the given side lengths is a right triangle.
14 ft, 48 ft, 50 ft
Yes
No

Answers

No, none of the measurements add up to 90 degrees

Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2

14^2+48^2=50^2

196+2304=2500

2500=2500

The curve with equation y = x^2 + ax + 3 has a stationary point when x = 4. Find a.

Answers

Answer:

Step-by-step explanation:

y=x^2+ax+3

y=(4)^2+a(4)+3

y=16+4a+3

y=19+4a

y-19=4a

y-19/4=a

a=y-4.75

IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal a number close to 0?

Answers

-75 and -25, -75/-25=3
I hope this helps

Solve for g: C = 1/2gk

Answers

Answer:

G = [tex]\frac{C(2)}{k}[/tex]

Step-by-step explanation:

C = 1/2gk

First you want to multiple both sides by 2 to get rid of that fraction and you get

C (2) = gk then you divide both sides by k to isolate the g and your left with

G= [tex]\frac{C(2)}{k}[/tex]

Hope this helps

HELP! i can not figure this out! y=4x+1

Answers

Answer:

1

Step-by-step explanation:

Is 90 a perfect cube

Answers

Answer:

No, the first ten perfect cubes are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

what is the full from of math​

Answers

Answer:

the full form of math is mathematics

hope it helps

Answer:

full form of mathematics. Explanation: M-miracle of nature. A-art of arithmetic. T-tool of knowledge.

Hope this helps, have a great day/night, and stay safe!

??please help me solve​

Answers

Answer:

y = -4x - 6

Step-by-step explanation:

slope-intercept form: y = mx + b

Given: Slope: -4

Point: (-2, 2)

To write an equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). Since we were given the value of the slope, all we have to do now is find b. To do this, input the given values of m and the point into the equation and solve for b:

y = mx + b

2 = -4(-2) + b

2 = 8 + b

-6 = b

The y-intercept is -6.

Now that we know the slope and the y-intercept, we can write the equation:

y = -4x - 6

1.4y+5-4.2-5y^2+z
It has something to do with combing like terms
Identify the number of terms, variable terms and constant terms in the following expression.

Answers

Answer:

Step-by-step explanation:

[tex]4y+5-4.2-5y^{2}+z[/tex]

constant terms: 5 and -4.2 equals 0.8

No matching variable terms.

[tex]-5y^{2} + 4y+z+0.8[/tex]

4 total terms

Find x no need for explanation I just need answer thanks

Answers

Answer:

x = 12 m

Step-by-step explanation:

Length = x m

Width = 3⅔ = 11/3

Area = 44 m²

Area of rectangle = length × width

Plug in the values into the equation

[tex] 44 = x \times \frac{11}{3} [/tex]

[tex] 44 = \frac{11x}{3} [/tex]

Multiply both sides by 3

[tex] 44 \times 3 = \frac{11x}{3} \times 3 [/tex]

[tex] 132 = 11x [/tex]

Divide both sides by 11

[tex] 12 = x [/tex]

x = 12

The formula for throwing a baseball in the air is represented by the attached function, where h represents the height of the ball in inches, and t represents time. How high is the baseball after 3 and a half seconds?
h(t)=-3t^2+12t+40

Answers

Answer:

45.25 in

Step-by-step explanation:

To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).

h(t)=-3(7/2)^2+12(7/2)+40

=-3(49/4)+(84/2)+40

=(-147/4)+42+40

=-36.75+42+40

=45.25 in

convert 0.25 to percent

Answers

Answer

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

We can make the number 1.00 as 100%. We have to figure out how many times 0.25 goes into 1.00. 0.25 goes into 1.00 4 times. Now, we can divide 100 by 4 to get 25%

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

6 = 2(y + 2)
Solve for Y.

Answers

Answer:

6=2(y+2)

distributive property

6=2(y)+2(2)

6=2y+4

-4      -4

2=2y

--   --

2   2

divide two in both sides to get y by itself

y=1

Answer:

y = 1

Step-by-step explanation:

6 = 2 (y + 2)

Distribuite:

2 * y = 2y

2 * 2 = 4

2y + 4 = 6

Use additive inverses. The additive inverse of addition is subtraction.

Subtract 4 from both sides:

2y + 4 - 4 = 6 - 4

6 - 4 = 2

2y ÷ 2 = 2 ÷ 2

2y ÷ 2 = y

2 ÷ 2 = 1

To check our answer we multiply how much y is (which is 1) by 2.

2(1) + 4 = 6

2 * 1 = 2

2 + 4 = 6.

I NEED HELP DUE IN 2min pleaseeee

Answers

Am I to late??????????
I not sure maybe we are

in the circle shown, AB is tangent to circle o at point and OC is a radius


Which relationship is true?

Answers

Answer:

A. [tex] \overline{OC} \perp \overline{AB} [/tex]

Step-by-step explanation:

According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.

Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:

[tex] \overline{OC} \perp \overline{AB} [/tex].

This means the radius of the circle is perpendicular to the tangent formed at point C.

A pancake mix requires 5 cups of flour for every 10 pancakes. How much flour is used per pancake?

Answers

So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)

You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?

Elizabeth Martz

Answers

Answer:

A= 63.6$

B= 51$

C= 54.6

D= ??? (sorry)

Step-by-step explanation:

hope this helps!

The answers to each part is given below.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that you buy a watch for $60.

{a} -

Total cost of watch -

{C} = ${60 + (6% of 60)}

{C} = ${60 + (6/100 x 60)}

{C} = $(60 + 3.6}

{C} = $63.6

{b} -

New sale price -

{D} = 60 - (15% of 60)

{D} = 60 - (15/100 x 60)

{D} = 60 - 9

{D} = $51

{c} -

Total cost of watch including tax -

{CT} = 51 + (6% of 51)

{CT} = 51 + 3.06

{CT} = 54.06

Therefore, the answers to each part is given above.

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What is the sign of B + A? Choose 1 answer: Positive B Negative Neither positive nor negative-the sum is zero.​

Answers

ince they are equal in absolute value and merely differ in being positve or negative, result in a sum of 0

which one is true
-1.5>-0.5
-1/2>0
-2.5 1.5

Answers

The first two aren’t true, I can’t see the sign for the third one but since the other two aren’t correct I’d assume the right answer is the third choice.

Answer:

A

Step-by-step explanation:

i will give a thanks 5 stars and i will give you the brainliest Gwen mows 1/4 acre in 3/4 hours. what fraction is used to find the unit rate, in acres per hour?

A. 3/4
B. 1/4/3/4
C. 4/3
D. 3/4/1/4

Answers

Answer:

D

Step-by-step explanation:

Can someone help me on this Proofs problems? It's just number one and two.

Answers

See Explanation

Step-by-step explanation:

1. By interior angle sum Postulate of a triangle.

[tex] m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\

m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\

m\angle y +m\angle z= m\angle w +m\angle x\\[/tex]

Hence proved

2. In [tex] \triangle PQS, \: \angle QSR [/tex] is exterior angle.

Therefore, by remote interior angle theorem, we have:

[tex] m\angle QPS + m\angle PQS= m\angle QSR\\\\

x + m\angle PQS= 2x\\\\

m\angle PQS= 2x-x\\\\

m\angle PQS = x.... (1)\\\\

m\angle QPS = x.... (given).... (2)\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle PQS = m\angle QPS\\\\

\therefore \angle PQS \cong \angle QPS\\\\

\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\[/tex]

[tex] \therefore \triangle PQS [/tex] is an isosceles triangle.

Thus proved.

2. Find the x and y
intercepts:
y = 1/2x+4

Answers

Answer:

y intercept = 4

x intercept = -8

Step-by-step explanation:

0 = x/2 + 4

-4 = x/2

-8 = x

y=mx+b

y = 1/2x+4

Y intercept = b, b= 4

answer the question below to be featured in a Mr. Beast video!

Answers

Answer:

Yeah, theres no way

Step-by-step explanation:

lol

Answer:

imagine lol

Step-by-step explanation:

a force of 10 newtons acts in a direction 75 above horizontal moving an object 15 meters from (0,0) to (15,0). What is the work done by the force?
a. 2.59 joules
b. 3.88 joules
c. 38.82 joules
d. 150.00 joules

Answers

Answer:

150 Joules

Step-by-step explanation:

Step one:

Given data

Force F= 10N

the distance is described by the coordinate =  (0,0) to (15,0)

hence the distance = 15m in the x-direction.

Step two:

Required is the work done

we know that work done is expressed as

Wd= Force* Distance

Wd= 10*15

Wd= 150 Joules

Answer:

38.82

Step-by-step explanation:

0.25 divided by 2.65

Answers

Answer:

0.09433962264

Step-by-step explanation:

0.09433962

^
That’s your answer

Dustin's Lawn Care Service Customer Amount Paid Mrs. Schmitt $15.75 Mr. Jones $9.25 Mrs. Adams $22.50 Mr. Meyer $50.00 How much more does Dustin get paid to mow Mr. Meyer's lawn than to mow the other three lawns combined? Enter your answer in the box. I need helppppp!

Answers

Answer: $2.50

Step-by-step explanation:

The following payments are made by Dustin's Lawn Care Service Customer

Mrs. Schmitt = $15.75

Mr. Jones = $9.25

Mrs. Adams = $22.50

Mr. Meyer = $50.00

To get our answer, we need to add all the payments of the other three. This will be:

= $15.75 + $9.25 + $22.50

= $47.50

The answer will now be:

= $50.0 - $47.5

= $2.50

which number is irrational number √79 0r √100000

Answers

√79 is an irrational number

According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.40 cm. A two year old girl with Down's syndrome has a head circumference of 44.5 cm. Children with Down's syndrome typically have smaller heads, so this is not surprising. 1. Relative to the WHO data, what is this girls z-score? What does the z score tell us? 2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

Answers

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

please help and you will get 40 points​

Answers

Answer:

loolooloolool

Step-by-step explanation:

Answer:

3x = 40 * 3

40= x

120 juice

40 C

Which of the following quotients are negative? Check all that apply.

2.2 ÷ 9.5
–0.5 ÷ 0.021
–1.3 ÷ –54.321
0.4 ÷ –0.4

Answers

-0.5 / 0.021 = -23.8
0.4 / -0.4 = -1
Hope this helps:)

Answer:

b and d

Step-by-step explanation: i did the assignment

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