What is the maximum area of a rectangle with a perimeter of 320 feet?

Answers

Answer 1

Answer:

For a rectangle of given perimeter, here 320 feet, the rectangle with the greatest are is the square. This square shall be 80 x 80. Maximum at (80, 6400)

Step-by-step explanation:


Related Questions

8 kilómetros a metros

Answers

Answer:

8 kilómetros son 8000 metros

Simplify 6 x − x + 5 y − 2 y

Answers

Answer:

Add and subtract similar variables

Step-by-step explanation:

(6x-x) + 5y - 2y

5x + (5y-2y)

=5x + 3y

Answer: 5x + 3y

Step-by-step explanation: You want to work with m variables that are the same so any item with an x is grouped together so 6x - x = 5x and the ys are grouped together 5y - 2y = 3y so your final answer would be 5x+3y

What is the value of AC?

Answers

Set 5x+5=7x-1 solve that to get your value of x. X=3 then plug your answer of x into AC. 6(3)+7=25. This works because the triangle is isosceles.
ANSWER:25

Answer:

25

Step-by-step explanation:

5x+5 = 7x-1

5 = 2x-1

2x = 6

x = 3

3x6 = 18

18+7 = 25

A 3-column table with 5 rows. The first column has entries empty, distance travelled (meters), time (initial) (seconds), time (final) (seconds), elapsed time (seconds), average speed (meters per second). The second column labeled Trial A has entries 4. 0, 2. 0, 2. 5, 1. 5, 2. 7. The second column labeled Trial B has entries 4. 0, 1. 5, 4. 5, empty, empty. Use the data table on the left to complete the calculations. What is the elapsed time for Trial B? s What is the average speed for Trial B? m/s.

Answers

Speed is the ratio of distance and time

The elapsed time is 3 secondsThe average speed is 1.33 meters per second

How to calculate the elapsed time

The elapsed time is the difference between the final time and the initial time.

So, we have:

Time elapsed = 4.5 seconds - 1.5 seconds

Evaluate the difference

Time elapsed = 3 seconds

Hence, the elapsed time is 3 s

How to calculate the average speed

The average speed is the quotient of the distance and the elapsed time.

So, we have:

Average speed = 4 meters/ 3 seconds

Evaluate the quotient

Average speed = 1.33 meters per second

Hence, the average speed is 1.33 m/s

Read more about speed at:

https://brainly.com/question/4931057

Answer:

Speed is the ratio of distance and time

The elapsed time is 3 seconds

The average speed is 1.3 meters per second

Calculate each unit rate.
a) A bus traveled 288 km in 4 hours.

b) A fish swam 75 m is 25 s.

c) Seven lemons cost $1.40.

d) $250 for a 5-day car rental.

Answers

Answers:

a) 72 km per hourb) 3 meters per secondc) 0.20 dollars or 20 cents per lemond) 50 dollars per day

====================================

Explanation:

a) Divide the distance over time to get the unit rate, which is the speed in this case. Speed = distance/time = 288/4 = 72 km per hour. b) Like before, divide the distance over time to get 75/25 = 3 meters per second.c) We want the cost of 1 lemon. So we'll divide the total cost over 7 to get (1.40)/7 = 0.20 dollars = 20 cents per lemond) Divide the total cost over the 5 day period. This will get the cost of each day. So we have a unit cost of 250/5 = 50 dollars per day.

Max has 4 more dollars than Jacob. If y is the amount of money that Jacob has, write an expression to show how much money Max has.

Your answer:

Answers

Answer:

8

Step-by-step explanation:

4 and jacob has 4. v. ...................

hola como estas espero que bien y que te hice el deposito de

Thank you for helping!!

Answers

Answer:

$324.80

Step-by-step explanation:

16*7= the area so

16*7=112

112sq yards

112*2.90=324.80

Dalia purchased a T.V. on sale for 15% less than the original price. If the original price was $200 how much money did Dalia save?

Answers

In a calculator you put
200x85% =£170
So she saved £30

HELPPPPPPPPP I'LL GIVE BRAINLYYYYYYYYYYY THANKKKKKKKK YOUUUUUUU <3
if a=-3 and b=4 then the value of -5a^2b is?
A) 180
B) 120
C) -120
D) -180

Answers

Answer:

D. -180

Step-by-step explanation:

3² = 9

9*(-5) = -45

-45 * 4 = -180

i hope this helps! have a wonderful rest of ur day :)

-10(2x+1/5) in standard form

Answers

Answer:

-20x-2

Step-by-step explanation:

solve by factorising x2 + 8x + 15 = 0

Answers

Answer:

x = - 3/2 thats the answer

HELP HOW DO I SOLVE THIS



Josie wants to buy Internet access. One service provider charges a flat rate of $34.95/month. A second charges $25/month plus 33c/h. For what number of hours per month should Josie choose the flat rate?

Answers

ansewer:

25+.33h=34.95 solving for h gives h=(34.95-25)/.33 =30.15 hours. So if you are going to use more than 30 hours it better to go with the flat rate company.

Step-by-step explanation:

You want to find, h, the number of hours of usage that will make the costs for the two equal so

can someone help me with this equation y=-x+4 and y=3x

Answers

Answer:

y=-x+4

y=3x

so that means

-x+4=3x

+x

4=4x

x=1

Hope This Helps!!!

A)2/7+3/7=
B)3/5 -1/5=
C)3/8+6/8=
D)1/3+2/5=
E)3/2+3/4=

Answers

A) 5/7
B) 2/5
C) 9/8 = 1 1/8
D) 11/15
E) 9/4 = 2 1/4

Answer:

A) 5/7

B)2/5

C)9/8 =1 1/8

D)11/15

E)9/4=2 1/4

Renaldo has a
budget of $500 to buy gift boxes for a party.
Large boxes cost $65 and small boxes cost
$35. Write and graph an inequality that
represents the number of each type of gift
box that Renaldo can buy. If Renaldo buys
5 small gift boxes, how many large gift boxes
can he afford to buy?

Answers

Renal can buy a box that is $35

Step-by-step explanation:

The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Renaldo has a budget of $500 to buy gift boxes for a party. Large boxes cost $65 and small boxes cost $35.

Let 'x' be the number of small boxes and 'y' be the number of large boxes. Then the inequality is written as,

35x + 65y ≤ 500

If Renaldo buys 5 small gift boxes. Then the number of large gift boxes will be given as,

35 × 5 + 65y ≤ 500

175 + 65y ≤ 500

65y ≤ 325

y ≤ 5

The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Just new 7 don’t mind the triangle under it

Answers

Answer:

50

Step-by-step explanation:

total angle of a triangle should be 180 so we add the given angle and subtract it from 180

I hate math so much I can’t to be done with this class

Answers

answer: y= 2 • (1/3)^x-2 -2
hope this helps!

round 1588 to the nearest hundred​

Answers

Answer:

1600

Step-by-step explanation:

By rounding 1588 to the nearest hundredth we get 1600.

The difference between two numbers is -1 their sum is -27 find the numbers

Answers

Answer:The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B: · x - y = 1. Now solve equation B for x

Step-by-step explanation:

What is the solution to |2x-8|=6?

A. x /= -1
B. 1 /= 7
D. -7 = x = -1

Answers

Answer:

x = 1

Step-by-step explanation:

|2-8| = 6

|-6| = 6

Answer:

Step-by-step explanation:

|2x-8|=6

2x - 8 = 6

    + 8   + 8

2x = 14

/2    /2

x = 7

2x - 8 = -6

    + 8   +8

2x = 2

/2   /2

x = 1

I'm going sure what the options are, as they are confusing.

When you post the update you question, I'll update my answer :)

Express x² -5x-14 as the product of two binomials

Answers

Answer:

(x-2)(x-7)

Step-by-step explanation:

[tex]x^{2} -5x-14\\\\x^{2} -7x+2x-14\\\\x(x-7)+2(x-7)\\\\\(x+2)(x-7)[/tex]

A computer loses 32% of its value in the first year . It is worth $1650 after 1 year ,how much was it bought for to the nearest $

Answers

Answer:

32+500=532

Step-by-step explanation:

is the nearest rupee

32% of 5,156.25 = 1,650. Therefore the computer was brought for $5156.25

Marguerite sailed 4 hours on Saturday and 3 hours on Sunday. Each day, she sailed at a rate of 11 miles per hour. Which statements are true? Check all that apply.
She sailed for 4 hours.
She sailed for 7 hours.
She sailed 44 miles in all.
She sailed 77 miles in all.

Answers

She sailed for 7 hours and she sailed 77 hours in all

Re-write the quadratic function below in Standard Form
y= 2(x - 2)2 – 7

Answers

Answer:

Standard form:   y = 2x² - 8x + 1

Step-by-step explanation:

We are given the following quadratic function, y = 2(x - 2)² - 7, for which we must transform in its standard form.

Definition: Quadratic Function in Vertex Form:

The vertex form of a quadratic function is y = a(x - h)² + k (which is the format of the given equation).

The vertex of the parabola occurs at point (h, k). The value of "a" determines the direction of the graph's opening (reflection across the x-axis); it also indicates the wideness or narrowness of the graph (vertical stretch or compression).

⇒  If the value of "a" is positive, then the vertex is its minimum or lowest point on the graph.

⇒  If the value of "a" is negative, then the vertex is the maximum or highest point  on the graph.

Quadratic Function in Standard Form:

The standard form of a quadratic function is y = ax² + bx + c, where a ≠ 0.

 

Solution:Step 1: Expand the binomial, (x - 2)²:

The first step in rewriting the given equation into its standard form  is expanding the binomial using the FOIL method, which transforms it into a perfect square trinomial.  

y = 2(x - 2)² - 7

       ⇒   (x - 2)(x - 2)

       ⇒   [ x² - 2x - 2x + 4 ]

Step 2: Substitute the perfect square trinomial into the vertex form:

y = 2(x - 2)² - 7

y = 2(x² - 2x - 2x + 4) - 7

Step 3: Distribute "2" into the parenthesis:

y = 2(x² - 2x - 2x + 4) - 7

y = 2x² - 4x - 4x + 8 - 7

Step 4: Combine like terms and constants, then simplify:

y = 2x² - 8x + 1.

Final Answer:

Therefore, the quadratic function in standard form is y = 2x² - 8x + 1, where a = 2, b = -8, and c = 1.

_____________________________

Keywords:

Quadratic equations

Parabola

Quadratic functions

Vertex form

Functions

______________________________

Learn more about quadratic functions here:

https://brainly.com/question/18797214

Answer:

[tex]\displaystyle y = 2x^2 - 8x + 1[/tex]

Step-by-step explanation:

All you are doing is perfourming order of operations and using the Distributive Property. Here is how it is done:

[tex]\displaystyle y = 2(x - 2)^2 - 7 \hookrightarrow y = 2(x^2 - 4x + 4) - 7 \hookrightarrow y = 2x^2 - 8x + 8 - 7 \\ \\ \boxed{y = 2x^2 - 8x + 1}[/tex]

I am joyous to assist you at any time.

Which temperature is colder -30 degrees or -10 degrees?

Answers

Answer:

-10 degrees celsuius is less than - 20 degrees its cold but not as cold as -10

Step-by-step explanation:

Answer:

- 30 degrees

Step-by-step explanation:

- 30 degrees

Let's look at this flipped

When the temperature is higher, the weather is hotter.

The same rule applies for the cold. When the temperature is lower, the weather is colder.

Hope this helps!

square DEFG is inscribed in equilateral triangle ABC with a side length of 3+2√3.

Find: area of the square

Answers

Answer:

9 units²

Step-by-step explanation:

**Refer to the attached diagram**

The angles in the right triangle FAD (and HBE) are 30-60-90 which means that its sides will be in the ratio 1 : √3 : 2

Let x = the smallest side

Therefore, the sides of the right triangle FAD are in the ratio  x : √3x : 2x

This means that:

the side length of the square = √3xthe side length of the triangle = x + √3x + x = (2 + √3)x

We are told that the side length of the triangle is 3 + 2√3, so:

[tex]\implies 3 + 2\sqrt{3} =(2 + \sqrt{3} )x[/tex]

[tex]\implies x=\dfrac{3 + 2\sqrt{3}}{2 + \sqrt{3} }[/tex]

[tex]\implies x=\sqrt{3}[/tex]

As the side length of the square is √3x,  and x = √3,

⇒ side length of the square = √3 x √3 = 3

Now we know the side length of the square, we can calculate the area:

⇒ area of a square = side length x side length = 3 x 3 = 9 units²

I have to turn this in by tonight

Answers

Answer:

x = -11

Step-by-step explanation:

Convert fraction into negative exponential form: [tex](36^-^1)^x^-^4=(216^-^1)^x^+^1\\[/tex]

Simplify using exponent power rule: [tex](a^n)^m=a^n^m:36^-^x^+^4=216^-^x^-^1[/tex]

Convert both sides of the equation into terms with same base:[tex](6^2)^-^x^+^4=(6^3)^-^x^-^1[/tex]

Simplify using exponent power rule:

[tex](a^n)^m=a^n^m:6^-^2^x^+^8=6^-^3^x^-^3[/tex]

Based on the given conditions, corresponding exponents are equal:

[tex]-2x=8=-3x-3[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]-2x+3x=-3-8[/tex]

Combine like terms: [tex]x=-3-8[/tex]

Calculate the sum or difference: [tex]x = -11[/tex]

Thurs, x = -11

[RevyBreeze]

The stadium has two tiers of spectator seats and VIP seats. The number of VIP seats is 1/12 of all seats. The ratio of the number of 1st tier seats to the number of 2nd tier seats is 7:5. If there are 600 VIP seats, how many 1st tier seats are in the stadium?​

Answers

Answer:

350

Step-by-step explanation:

350 because there are 1/12 of VIP seats and there are 600 so 600 times 1/12 is 6,600.

Then you minus off the 600 VIP seats so you get 6000

next you do 600 divided bu 12 because of the 1st tier seats and 2nd tier seats combined which then you get 50

lastly you do 50 times 7 because of the ration 7:5 1st tier seats to 2nd tier seats so then you get 350

please mark brainliest i need one last one

Solve the following variation problem
The interest on an investment varies directly as the rate of interest.
If the interest is $49 when the interest rate is
4%, find the interest when the rate is
7.7%

Answers

Answer:

$94.325

Step-by-step explanation:

Given interest (I) varies directly as rate of interest (R) then the equation relating them is

I = kR ← k is the constant of variation

To find k use the condition I = 49 when R = 4 , then

49 = 4k ( divide both sides by 4 )

12.25 = k

I = 12.25R ← equation of variation

When R = 7.7 , then

I = 12.25 × 7.7 = $94.325

How to solve this? And what is the answer.

11 = -5x-2

Answers

[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf11 = -5x-2[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf11 + 2= -5x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf13= -5x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf - 13=5x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf 5x = - 13[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = \dfrac{ - 13}{5} [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = - 2.6[/tex]

or

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

Answer:

-13/5 or -2.6

Step-by-step explanation:

Step 1: Flip the equation.

−5x−2=11

Step 2: Add 2 to both sides.

−5x−2+2=11+2

−5x=13

Step 3: Divide both sides by -5.

-5x     13

----- = -----

-5        -5

x = -13/5

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