A rectangular lot is 80 yards wide and 125 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.

Answers

Answer 1

Answer:

  70 yards wide and 135 yards long

Step-by-step explanation:

The perimeter of a rectangle will be the same if the sum of length and width is the same. The area will be smaller if the difference between lenth and width is greater.

__

The sum of length and width will be the same if the length is increased by the same amount that the width is decreased. Changing each by 10 yards is one possibility.

A lot 70 yards wide and 135 yards long will have the same perimeter and a smaller area.

_____

Check

Given perimeter: 2(80 +125) = 410 yds.

Modified perimeter: 2(70 +135) = 410 yds. (same)

Given area = 80(125) = 10000 yd².

Modified area: 70(135) = 9450 yd². (smaller)

__

Additional comment

The area is greatest when the difference between the length and width is zero. That is, the rectangle will be a square.


Related Questions

Evaluate lim x²-1 x/x^2+3x-4​

Answers

Nandyan na po

Step-by-step explanation:

I hope I help

What is 8,838 rounded to the nearest ten

Answers

Answer:

8840

Step-by-step explanation:

Answer:

8,840

Step-by-step explanation:

solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~​

Answers

[tex]x^2 -5x +6 =0\\\\\implies x^2 -3x -2x +6 = 0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-3)(x-2)=0\\\\\implies x =3, ~ x = 2[/tex]

Answer:

The value of x = 2 or 3

Step-by-step explanation:

By factorisation ,

=> x² - 5x + 6 =0

=> x² - 3x - 2x + 6 = 0

=> x ( x-3 ) -2 ( x-3 ) = 0

=> (x-2) (x-3) = 0

so, the value of x = 3 or 2

A new board game comes with a deck of 20 cards: 5 red, 3 blue, 2 orange, and 10 green.
After the deck is shuffled, the player is to choose the top card and note its color, replace
the card, shuffle the deck again, and then choose the top card again and note its color.
What is the probability that both cards selected are blue?

A.3%
B.2.25%
C.9%
D.6.25%

Answers

Answer:

B

Step-by-step explanation:

3/20x3/20=

15/100x15/100

3/11 x 4/9 fraction multiplication

pls help

Answers

Answer:

[tex] \frac{1}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3}{11} \times \frac{4}{9} [/tex]

[tex] \frac{12}{108} [/tex]

[tex] \frac{1}{9} [/tex]

Answer= 1/9 there you go buddy I will send you anything for a mathematics

Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2

Answers

Using the vertical asymptote of the function, it is found that it is given by:

[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]

What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).

The graph has one vertical asymptote at x=2, hence the denominator is x - 2.

Hence:

[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]

The y-intercept of the graph is y=−3, hence:

[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]

[tex]-4a = 6[/tex]

[tex]a = -1.5[/tex]

Thus, the function is:

[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]

More can be learned about asymptotes at https://brainly.com/question/16948935

Krista Kellman has an opportunity to purchase a government security that will pay $200,000 in 5 years.

Answers

Don’t even know to be honest

He decided to bike from his home to the library to return some books. Ell biked 110 miles when he remembered that he had left a book at home, so he biked back home to get it. After getting the book from home, he biked to the library. What was the total distance, in miles, en had biked when he finally reached the library Show your work. miles Answer​

Answers

Answer:

2 2/10 miles

but on the part where he realized he forgot his books was he at the library already when he realized cuz if not them it's more than 2 2/10

rena divides a square into 8 equal part. what unit fraction should she write as a label for each parts?

Answers

Answer =1/8

The unit fraction is 1/8
A unit fractions one with numerator being 1
She divide the square into 8 and took 1 part out
Hence is 1 out of 8 Represented mathematically as 1/8

If rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.

What is Fraction?

A fraction represents a part of a whole.

Given that rena divides a square into 8 equal part.

A division is a process of splitting a specific amount into equal parts.

Let the whole square is divided into eight equal parts.

Which can be represented by 1/8.

Where the numerator 1 represents the whole and eight represents the parts.

The unit fraction for each part is 1/8 because the square is divided into 8 equal parts.

This means each part is one eighth of the whole.

Hence, if rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.

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https://brainly.com/question/10354322

#SPJ2

surface area.... again

Answers

Answer:

1848 square inches

Step-by-step explanation:

surface area is the combined area of all the outside surfaces.

area of triangle is base x height / 2

There are two, so no need to divide

18 x 12 = 216

Area of rectangle is base x height

15 x 34 + 15 x 34 + 18 x 34 = 1632

Then add

216 + 1632 = 1848

1848 there is no explanation

How are the roots of a quadratic equation and the zeroes of a quadratic relation related? ​

Answers

The roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].

What do represent the roots of a quadratic equation?

Polynomials are algebraic entities that satisfy the following condition:

[tex]p(x) = \sum\limits_{i= 0}^{n} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{n} (x-r_{j})[/tex]   (1)

Where:

x - Independent variablen - Grade[tex]c_{i}[/tex] - i-th Coefficient[tex]r_{j}[/tex] - j-th Root

If we have that [tex]p(x) = 0[/tex], then there are n values of x such that the equation is satisfied and those values are called zeroes. For the case of a quadratic equation, there are two zeroes.

[tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex]   (2)

Please note that the right part of (2) contains the roots of the polynomial and (2) represents a relationship based on the closure properties for algebraic fields.

Therefore, the roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].

To learn more on quadratic equations, we kindly invite to check this verified question: https://brainly.com/question/5975436

Which of the following numerical expressions results in a positive number?

A (-12) - (-21) - 10
B (-12) - (-21)
C 12 - 21
D (-21) – (-12)

Answers

A = - 1
B = 9
C = - 9
D = - 9

B

if a number is added by 2 the answer is10 find the number

Answers

8

Explanation:
Just do the reverse of addition. 10-2=8

NEED AN ANSWER RIGHT NOW I HAVE ALMOST NO TIME PLEASE
The zeros of a quadratic relationship are 3 and 7. The optimal value is -3. Is the optimal value a maximum or minimum? Explain.
TYSM IF SOMEONE HELPS

Answers

Answer:

Minimum

Step-by-step explanation:

The zeros of a quadratic equation are the points at which the parabola intersects the x-axis.

[tex]\sf x=3 \implies x-3=0[/tex]

[tex]\sf x=7 \implies x-7=0[/tex]

[tex]\sf \implies y=a(x-3)(x-7)[/tex]   (for some constant a)

[tex]\sf \implies y=ax^2-10ax+21a[/tex]

The optimal value is the y-coordinate of the vertex.  

[tex]\sf \implies vertex=(x,-3)[/tex]

The x-coordinate of the vertex is the midpoint of the zeros:

[tex]\sf x=\dfrac{7-3}{2}+3=5[/tex]

[tex]\sf \implies vertex=(5,-3)[/tex]

Therefore, the vertex will be in Quadrant IV and so the parabola opens upwards into Quadrant I.  

So the optimal value is a MINIMUM since the vertex is the minimum point of the curve.

Additional Information to create the equation of the quadratic

Vertex form of quadratic equation:  [tex]\sf y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

[tex]\sf \implies y=a(x-5)^2-3[/tex]

[tex]\sf \implies y=ax^2-10ax+25a-3[/tex]

To find the value of a, compare the constants of both equations:

[tex]\sf 21a=25a-3[/tex]

[tex]\sf \implies -4a=-3[/tex]

[tex]\sf \implies a=\dfrac34[/tex]

So the final equation is:

[tex]\sf factor \ form \implies y=\dfrac34(x-3)(x-7)[/tex]

[tex]\sf standard \ form\implies y=\dfrac34x^2-\dfrac{15}{2}x+\dfrac{63}{4}[/tex]

[tex]\sf vertex \ form \implies y=\dfrac34(x-5)^2-3[/tex]

A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 18 cm. cm2

Answers

Answer:

1,090

Step-by-step explanation:

!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!
use the photo provided
thanks

Answers

Answer:

19.0 cm (3 sf)

Step-by-step explanation:

Formula

[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]

(where r is the radius)

Arc length of white sector

Radius of white sector = 8 - 4.5 = 3.5 cm

[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]

Arc length of grey sector

Radius = 8 cm

[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]

Perimeter of shaded part

Perimeter = arc length (white) + arc length (grey) + 2 x 4.5

                [tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]

                [tex]\sf =19.0356432...[/tex]

                [tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]

Which of the following means less than or to?
A.not less than
B.at most
C.at least
D.mininum

Answers

Answer:

B. At most

Gives a maximum that it can be.

A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, one cup of sugar, and 2 cups of chocolate chips. how much of each ingredient should be used to make 2 dozen cookies

Answers

Answer:

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Step-by-step explanation:

3 dozen chocolate chip cookies

3 cups of flour

1 cup of sugar

2 cups of chocolate chips

The recipe is for 3 dozen cookies as stated above.

If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.

That means you need 2/3 of all the ingredients.

2/3 × 3 dozen chocolate chip cookies

2/3 × 3 cups of flour

2/3 × 1 cup of sugar

2/3 × 2 cups of chocolate chips

We simplify the amounts to:

2 dozen chocolate chip cookies

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

18. Cancellation refers to the procedure for
A. reducing fractions to make multiplying easier.
B. inverting the divisor in a division problem.
C. changing a mixed number to an improper fraction.
D. finding the lowest common denominator for a group of fractions.

Answers

The correct option regarding the operation of cancellation in a fraction is given by:

A. reducing fractions to make multiplying easier.

What is an example of cancellation in a fraction?

It happens when two fractions are multiplying each other, and terms are simplified to make the multiplication easier. For example:

[tex]\frac{2}{3} \times \frac{6}{4} = \frac{6}{3} \times \frac{2}{4} = 2 \times \frac{1}{2} = 1[/tex]

The terms 2 and 4, and 3 and 6, were canceled. Hence option A is correct.

More can be learned about cancellation in a fraction at https://brainly.com/question/571030

How many solutions are there to the equation below?
x²=9
A. 9
B. 0
C. 4
D. 2
E. 3
F. 1

Answers

Answer: D) 2

Step-by-step explanation:

x² = 9 means what number times itself is equal to 9

We know that 3×3=9 so that is already one solution, but there is another

-3×-3 is also equal to 9

A negative number times a negative number results in a positive number so -3 is another solution.

That gives us two solutions

Answer:

D; only 2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 = 9

Take the square root of both sides:

Answer: x = 3 or x = -3

Please help EDGINUITY 2022

Answers

D. 3090

Explanation:
6(103)= 618
618(5)= 3090

Can I please get help I don’t know how to use the numbers on the front

Answers

If you are adding it or finding the sum it will be 47cm

HELP ASAP will get brainly user !!!​

Answers

Answer:

46

Step-by-step explanation:

p=6,q=12.

Put the numbers where the letters are.

7x6+12/3

46

Hope this helps!

Answer:

[tex]beinggreat78~here~to~help~you~learn![/tex]

When doing short equations like this, you want to use P.E.M.D.A.S. That just means you want to use parentheses first, exponents second, multiply third, divide fourth, add fifth, and subtract last. In this case, since there are no parentheses, or subtraction, or exponents, we cross those three out, and make multiplication our top priority. But, what exactly does seven p mean? p is an assigned, substituted number. Sometimes people will use p instead of x as subs, but it really does not matter. So now that we have enough information, let's start.

[tex]7p=7 * number(In~this~case,~6)[/tex]

[tex]7 * 6 = 42[/tex]

The next step is to divide q(12) by three. Before adding, you want to divide, because it is your second-top-priority.

[tex]\frac{q}{3} = \frac{12}{3}~which~is~4[/tex]

Lastly, add the quotient and the product together.

[tex]7p(42) + \frac{q}{3} (4) = 46[/tex]

And we are done! The result is 46, so that means your answer is D! Yay!

What have we learned while doing this problem?

We have learned how to multiply and divide in order of operations while dealing with substitution.

rewrite 4+2/3x=3/4 so it does not have fractions.

Answers

Answer:

48 + 8x = 9

Step-by-step explanation:

4 + [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{4}[/tex]

multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

48 + 8x = 9

What is the volume of Prism B if the volume of Prism A is 1120 in??

Answers

Answer:

  140 in³

Step-by-step explanation:

The ratio of volumes of similar objects is proportional to the cube of the ratio of the linear dimensions.

__

Here, prism B is half the height of prism A, so will have (1/2)³ = 1/8 of the volume of prism A:

  Vb = (1/8)×Va

  Vb = (1/8)×(1120 in³) = 140 in³

The volume of Prism B is 140 cubic inches.

Jupiter takes 4332 earth days to orbit the sun mercury orbits the sun in 88 earth days. How many complete orbits will mercury make until Jupiter completes one

Answers

Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

that the best i can do !!!!

Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x3+
44x2y + 17 and y3 - 11xy2 + 2x2y - 13x3?
31X3.6 x3 +44 x2y + 11 xy2 +17
32 x3 - y3 + 42 x2y + 11 xy2 + 17
y3 - 6x3 + 33 x2y+ 2 xy2 + 17
20 x2 - y2 + 33 x2y+ 2 xy2 + 17

Answers

Answer:

  (b)  32x^3 - y^3 + 42x^2y + 11xy^2 + 17

Step-by-step explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

  (19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)

  = (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17

  = 32x^3 -y^3 +42x^2y -11xy^2 +17

The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.

Answers

Answer:

y=-5x-2

Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2

Hope it helps.

Do comment if you have any query.

The perimeter of a rectangle is 120 meters and the length is 20 meters longer than the width. Find the dimensions of the rectangle. Let x = the length and y = the
2+2y = 12)
width. The corresponding modeling system is 2x + 2y =120 x-y = 20
Solve the system graphically

Answers

The dimension of the rectangle is 40meters by 20meters

What is the perimeter of a figure?

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle = 2(l+w)

If the length is 20 meters longer than the width, then;

l = 20 + w

Substitute

120 = 2(20+2w)

60 = 20 + 2w

30 = 10 + w

w = 20 meters

Since l = 20  + w

l = 20 + 20

l = 40 meters

Hence the dimension of the rectangle is 40meters by 20meters

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A study of 110 students who had been awarded University scholarship showed that 40 worked part time jobs, 29 made the dean's list the previous semester and 16 both worked a part time job and made the dean's list the previous semester. What is the probability that a student worked a part time job or made the dean's list.

Answers

Answer:

i dont understand i need pic

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