There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangle is 2,500 square kilometers, what are its dimensions?


(Both of the rectangles have the same perimeter)

Answers

Answer 1

Answer:a

Step-by-step explanation:

Answer 2

Answer:

length = 100

width = 25

Step-by-step explanation:

Let L = length of red rectangle

Let H = height of red rectangle

Equation1:   L+H=125 : we know the perimeter is 250 so L+H is 125

Equation2:   L*H=2,500 : we know the area is 2,500

Equation3:   L=125-H : subtracted H from both sides of Equation1

Equation4:   (125-H)*H=2,500 : substituted "125-H" for L into Equation2

Solve equation4:

  (125-H)*H=2,500   multiple terms on left side of equation

  125H - H^2 = 2,500   rearrange into standard form

  H^2 - 125H + 2,500 = 0

At this point you can "brute force" the answer with the quadratic formula:

H = (125 ± SQRT(125^2 - 4*1*2500) ) / 2

H = 100 or H = 25 : actually these are L and H

You could also factor the equation:

(H - 100) * (H - 25) = 0 : gives same answe


Related Questions

what is the answer to
x^{2} + 2x + 15 = 0

Answers

From my knowledge:

²−2−15=0

x=5

x=-3

Point M is on line segment LN. Given MN=2 and LM=4, determine the length LN.

Answers

Answer:

LN = 6

Step-by-step explanation:

Since M is on LN, then

LN = LM + MN = 4 + 2 = 6

Answer:

[tex]\huge \boxed{6}[/tex]

Step-by-step explanation:

Point M is on the line segment LN.

LM = 4

MN = 2

LN = LM + MN

LN = 4 + 2 = 6

What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?

Answers

Answer: (-6,8)

Step-by-step explanation:

Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distance

Translation rules are

Left c units : [tex](x,y)\to(x-c,y)[/tex]

Down c units : [tex](x,y)\to(x,y-c)[/tex]

The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:

[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]

Hence, the image point is (-6,8).

If the equation of the line is
(5y + 1)/10 = x, then what is the slope of the line?

A. 10
B. 5
C. 2
D. -1

Answers

Answer:

2

Step-by-step explanation:

(5y + 1)/10 = x

Multiply each side by 10

(5y + 1)/10*10 =10 x

(5y + 1) = 10x

Subtract 1

5y +1-1 = 10x-1

5y = 10x-1

Divide by 5

5y/5 = 10x/5 - 1/5

y = 2x-1/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 2

this one from maths pls help

Answers

Answer:

The total amount left by Manavi and Kuber is: (1) 399

Step-by-step explanation:

Manavi

saving account +  amount spent at the mall:  1/'2 + 1/4 =  3/4

left over: 1 - 3/4 = 4-3/4 = 1/4

1260 ( 1/4) = 315

The total leftover for Manavi is Rs.315.

Now do the same steps with Kuber.

Kuber

saving account +  amount spent at the mall: 1/3+ 3/5 = 14/15

left over: 1- 14/15 = 15-14/15 = 1/15

1260 (1/15) = 84

The total leftover for Kuber is Rs.84.

Lastly, just add both left over amount together.

315+84 = 399

The total amount left by Manavi and Kuber is: (1) 399

Will Mark Brainlest Help Please ,,,, ​

Answers

[tex]\\ \sf\longmapsto 2x+y=2[/tex]

[tex]\\ \sf\longmapsto 2x=2-y[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]

And

[tex]\\ \sf\longmapsto x+1=y+2[/tex]

[tex]\\ \sf\longmapsto x=y+2-1[/tex]

[tex]\\ \sf\longmapsto x=y+1[/tex]

Put the value

[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]

[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]

[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]

[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]

[tex]\\ \sf\longmapsto 3y=0[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]

[tex]\\ \sf\longmapsto y=\infty[/tex]

Put in eq(1)

[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Answer:

x=1 , y=0

Step-by-step explanation:

2x+y=2.......1

x+1=y+2

x-y=2-1

x-y=1...... 2

from equation 2 we get ,

x-y=1

x=1+y

putting the value of x in equation 1 we get,

2*(1+y) +y=2

2+2y+y=2

2+3y=2

3y=2-2

3y=0

y=0/3

y=0

putting the value of y in equation 2 we get,

x-0=1

x=1+0

x=1

hence x=1 , y=0

32 1/4 divided by 1/8 = 258 create a story or context for this number sentence

Answers

If you’re a DnD/D&D player: trying to figure out how much a population for a town you over-killed based on being given a percentage left (the 1/8) and the amount of living residents (the 32 1/4, with the 1/4 maybe representing a pet?)

Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start of the 16th day he has climbed a total of 29 m. On how many nights was he asleep?

Answers

Answer: The frog fell asleep for 4 nights.

Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.

Will someone please help me with this problem!! **It's multiple choice!

Answers

A = (-7,-6)

B = (8,-9)

Find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (-9-(-6))/(8-(-7))

m = (-9+6)/(8+7)

m = -3/15

m = -1/5

The slope of line AB is -1/5.

Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.

Let m = 5.

Use the coordinates of point C (2,12) along with the perpendicular slope to get

y - y1 = m(x - x1)

y - 12 = 5(x - 2)

y - 12 = 5x - 10

y = 5x - 10+12

y = 5x + 2

Lastly, convert this to standard form

y = 5x + 2

5x+2 = y

5x+2-y = 0

5x-y = -2

Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.

Answer:

5x - y = -2.

Step-by-step explanation:

The equation of this altitude line has a slope = -1/m where m is the slope of line AB . It will also pass through the point C.

The slope of line AB = (-9 - (-6)) / (8 - (-7))

= -3/15

= -1/5

So the slope  of the required line = -1 / -1/5 = 5.

Using the point C and the point-slope form of a line:

y - y1 = m(x - x1)

y - 12 =  5(x - 2)

y - 5x = -10 + 12

y - 5x = 2

5x - y = -2.

20 The nth term of an arithmetic series is Un where un > 0 for all n.
The sum to n terms of the series is Sn
Given that u4 = 6 and that S11 = (u6)2 + 18
Find the value of u20

Answers

Answer:

Hi,

[tex]u_{20}=30[/tex]

Step-by-step explanation:

[tex]u_n=u_1+(n-1)*r, \ r= commun\ ratio.\\u_4=u_1+3*r=6\\u_6=u_1+5r\\(u_6)^2=u_1^2+10ru_1+25r^2\\s_n=u_1+u_1+r+u_1+2r+...+u_1+10r=11*u_1+55r\\s_{11}=(u_6)^2+18\ \\\Longrightarrow\ u_1^2+10ru_1+25r^2+18=11u_1+55r\\\Longrightarrow\ 4r^2+2r-12=0\\\Longrightarrow\ 2r^2+r-6=0\\r=\dfrac{3}{2} \ or\ r=-2\ (excluded)\\\\u_1=6-3r=\dfrac{3}{2} \\\\\\\boxed{u_{20}=u_1+19*r=30}\\[/tex]

The value of the 20th term of the arithmetic series will be 30

What is arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Un  =  u₁+(n-1) x r

u₄  =  u₁  +(3 x r)=6

u₆ = u₁ +5r

u₆²=u₁²+10ru₁+25r²+18=11u₁+55r

Sn= u₁+u₁+r+u₁+2r+.............u₁+10r= (11 x u₁) +55 r

4r²+2r-12=0

2r²+r-6=0

r=3/2

u₁=6-3r=3/2

u₂₀=u₁+(19 x r)= 30

Hence the value of the 20th term of the arithmetic series will be 30

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

3/2x + 7/2 = 2x what is the solution to the equation

Answers

Answer:

x=7

Step-by-step explanation:

3/2x + 7/2 = 2x

Subtract 3/2x from each side

3/2x -3/2x + 7/2 = 2x-3/2x

7/2 = 2x -3/2x

Get a common denominator

7/2 = 4/2x - 3/2x

7/2 = 1/2 x

Multiply each side by 2

7/2 *2 = 1/2x*2

7 =x

Answer:

x=7

Step-by-step explanation:

im smart

what is |x-4| if x>4

Answers

Answer:

x-4

Step-by-step explanation:

If x>4, |x-4|>0 which means |x-4|=x-4

A girl scored 18 out of 25 in English language and p% in mathematics. if her average score is 78% , what is the value of p ​

Answers

Answer:

84%

Step-by-step explanation:

percentage of score in English=18/25*100

=72%.

72+p/2=78

72+p=156

p=84%

Mark me BRAINLIEST if helped

Tysm!

kim places £500 in a bank account the pays 3% simple interest each year
how much interest will she earn each year?
how much will she have in her account after 1 year

Answers

She will gain 3% each year and after one year she will gain £15 leaving her total at £515

luis almuerza 1/3 de una pizza y juan 2/5 de la misma si deciden distribuirse el resto de la pizza en partes iguales determina que fraccion le tocaria a cada uno

Answers

Answer:

A cada uno le toca:

2/15

del total de la pizza.

Step-by-step explanation:

1/3 + 2/5 = 5 / 15 + 6 / 15 = 11/15

los dos, inicialmente, han almorzado

11/15

de la pizza.

Si el resto lo dividen en dos partes:

15/15 - 11/15 = 4/15

el resto es de 4/15

al dividir este resto entre los dos:

(4/15) / 2 = 4/(15*2) = 4/30 = 2/15

A cada uno le tocarían:

2/15

del total de la pizza

Please answer ASAP thank you and please I will mark you as a brainlist

Answers

Answer:

6 1/6  or 6 2/12

Step-by-step explanation:

2 4/6 + 3 1/2

Get a common denominator

2 4/6 + 3 1/2 * 3/3

2 4/6 + 3 3/6

5 7/6

Rewriting

5 6/6 + 1/6

6 1/6

1. Calculate the amount of gallons needed to fill the pool shown below.

Answers

Answer:

25,070 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (8 + 3.5) x (35/2) x 20 = 4025 cu. ft.  ---------->>> then convert to gal.

                              6.2288 gal

vol = 4025 cu.ft. x ----------------- =  25,070 gal

                                 1 cu.ft.

Helppp thanksss!!!!!!

Answers

Answer:

1 mile

Step-by-step explanation:

in 20 minutes Stuart has gone 1 mile

in 20 minutes Brandy has gone 4 miles

therefore they meet 1 mile from Stuart's house

Answer:

1 mile

Step-by-step explanation:

The equation of C is (x - 2)^2 + (y - 1)^2 = 25. Of the points P(0,5), Q(2,2) R(5,-2), and S(6,6), which point is located outside the circle?

Answers

Answer:

( 6,6) is outside

Step-by-step explanation:

(x - 2)^2 + (y - 1)^2 = 25

This is of the form

(x - h)^2 + (y - k)^2 = r^2

where ( h,k) is the center and r is the radius

(x - 2)^2 + (y - 1)^2 = 5^2

The center is at ( 2,1) and the radius is 5

P(0,5), Q(2,2) R(5,-2), and S(6,6)

Adding the radius to the y coordinate gives us 6 so the only point with a y coordinate on the circle is ( 2,6)

( 6,6) is outside the circle

A woman deposit $600 into an account that pay 5 1/4% interest per year. How much interest will she recieve in one year ?

Answers

Answer:

$31.5

Step-by-step explanation:

Intrest = P. A. * Intrest Rate * Time

Intrest = 600 * 5.25 /100 = 31.5

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =

Answers

Answer:

2, 6, 11

Step-by-step explanation:

To evaluate f(- 1) substitute x = - 1 into f(x)

f(- 1) = 2(- 1)³ - 3(- 1)² + 7 = 2(- 1) - 3(1) + 7 = - 2 - 3 + 7 = 2

Similarly

f(1) = 2(1)³ - 3(1)² + 7 = 2(1) - 3(1) + 7 = 2 - 3 + 7 = 6

f(2) = 2(2)³ - 3(2)² + 7 = 2(8) - 3(4) + 7 = 16 - 12 + 7 = 11

Answer:

f(-1) = 2

f(1) = 6

f(2) = 11

Step-by-step explanation:

Got it right on Edge (⌣_⌣”)

What is the unit rate 25 for $50.00

Answers

Answer:

1/2

Step-by-step explanation:

For every 1 item bought, $2.00 are spent.

Brainliest please!

Answer:

1/2

Step-by-step explanation:

Unit rate is the division of two things where the quantity of an object is divided over the units.

25 / 50 = 1/2

So, the unit rate is 1/2.

Hope this helped.

What, if any, are the solutions to the equation 2(x - 3) = 2x - 6?

Answers

Answer:

2(x-3)=2x-6

2x-6=2x-6

2x+2x=6+6

4x=12

4 4

x=3

Step-by-step explanation:

answer x=3

PART A: Find a rational number that is between 5.2 and 5.5. Explain why it's rational.
PART B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.​

Answers

Answer:

A. 5.3 B. 5.4

Step-by-step explanation:

A. because its a fraction

B. because it cannot be express as a ratio of two integers

pls help, and explain. will give brainliest

Answers

Answer:

10.28

Step-by-step explanation:

Using ratio

12 : 9

8 :x

Crose multiple

12x = 72

Make x subject formula

x = 10,28

A circle is centered at C(-1,-3) and has a radius of 6. Where’d does the point P(-6,-6) lie?

Answers

(1,44) 1/23 he. said he is so happy

Help pls need work shown

Answers

Answer:

1.) P = 8g + 50

2.) Find the attached file for the graph.

Step-by-step explanation:

Let the profit = P

And g = good sold.

Given that each yo-yo sells for $8.00

The rate or the slope of the equation will be 8

Also, it is given that they must pay a clerk $50.00 a day to sell them. A flat rate of 50 dollars is an intercept of the equation.

Using the general linear equation of

Y = mX + C

The equation for the profit the store will make in a day will be.

P = 8g + 50

Please find the attached file for the graph

Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression? PLZ I NEED THIS PLZ HELP ME

Answers

If the expression is kept in its original form, you would add 10 and 4.8 together to get 14.8 and then add 90 to receive an answer of 104.8. With the reworked expression, you add 90 and 10 first to get 100 and then add 4.8 to receive 104.8.

Answer: Because of PEMDAS, the way Morgan rewrote the expression would change the the order of the steps to simplify it.

Step-by-step explanation: PEMDAS is the order of operations and it stands for Parenthesis, Exponents, Multiply, Divide, Addition, and Subtraction. If we simplify Morgan's version of the expression, we would add 90+10 first, which makes 100, then add 4.8 which makes 104.8. We come to the same conclusion when simplifying the original expression, 104.8. The difference is that we add 10+4.8 first and then add it to 90. While in this situation, the outcome was not different, the order of operations was changed.

42. How many solutions does this system of
equations have?
3x + 4y= 7
-3x – 4y = 7
A) 0
B) 1
C) 2
D) Infinite

Answers

Answer:

[tex]\Large \boxed{\mathrm{A) \ 0 }}[/tex]

Step-by-step explanation:

3x + 4y = 7

-3x - 4y = 7

Add both equations.

0x + 0y = 14

0 = 14

There are no solutions.

Answer:

A) 0

Step-by-step explanation:

Adding both equations.

0 + 0 = 14

0 = 14 (no solutions)

He’s asking which number is not supposed to be there

Answers

Answer:

65

Step-by-step explanation:

They all between 9

Answer:

the answer is 65......

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