James and Sylvie need to paint the line around the outside of a soccer field. To know how much paint to buy, they must find the perimeter of the field. James claims, “I can calculate the perimeter by using the formula P = 2(l + w) .” Sylvie replied, “That’s not right. The correct formula is
P = 2l + 2w .” Who is correct? Provide evidence to support your answer.

Answers

Answer 1

Answer:

Both of them are correct.

The perimeter is found by adding up all four sides. If you notice, one of them is width and one of them is length. A rectangle has four sides, two width and two length.

l= length and w=width so P=2l+2w.

But, we can combine them by factorizing 2l+2w.

Lets see what we can pull out. We can only pull out 2.

2(l+w)=2l+2w.

2(l+w)=P

Both of them are correct.

Hope this helps plz hit the crown :D


Related Questions

Keiko sold t-shirts at a festival. She made $4 for each t-shirt she sold. Her expenses were $25. If she made a profit of $71, how many t-shirts did she sell?

Answers

Answer:

She had sold 24 shirts.

Answer:

24 shirts.

Step-by-step explanation:

Let the number of shirt she sold = x.

4x - 25 = 71

4x = 96

x = 24.

MULTIPLE CHOICE
What do you get when you subtract the actual
number from the estimated number?

A. Absolute Value
B. Error
C. Percentage error
D. Sum

Answers

Answer:

C

Step-by-step explanation:

When you subtract the actual number from the estimated number then, its called 'Error''.

Option B is true.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

You subtract the actual number from the estimated number.

Now,

We know that;

To find the error , we subtract the actual number from the estimated number.

Hence, We get;

After subtract the actual number from the estimated number, the result is called ''Error''.

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ2

If 9 exercise books books cost N540.00 how many will 14 of such cost.​

Answers

Answer:

840

Step-by-step explanation:

im probably wrong

Answer: 14 books will cost 840$

Step-by-step explanation: 540/9=60

60= cost of individual book

60*14=840

840= cost of 14 books

plzzzzzzzzzzzzzzzzzzzzzzz

Answers

Option C. Please mark me as brainliest.

Mr. T's Tea store has two kinds of tea. Tea A costs $9 per pound and Tea B cost $6 per pound. How many pounds of each should be combined to obtain 150 pounds of tea worth $8 per pound? ​

Answers

Answer:

y=447.3 pounds

x= 297.3 pounds

Step-by-step explanation:

Step one:

given data

Tea A costs $9 per pound and

Tea B cost $6 per pound.

let the number of pounds of Tea A be x

and for Tea B be y pounds

The total cost of the mixture = $8 per pound

hence

9x+6y=8---------1

The total weight of the mixture

150 pounds

x+y=150-----------2

Step two:

9x+6y=8---------1

x+y=150---------2

from eqn 2 x=150-y

put x= 150-y in eqn 1

9(150-y)+6y=8---------1

1350-9y+6y=8

1350-8=9y-6y

1342=3y

divide both sides by 3

y= 1342/3

y=447.3 pounds

put y= 447.3 in eqn 2

x+447.3= 150

x= 150-446=7.3

x= -297.3

x= 297.3 pounds

Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozen
eggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.
What were her total expenses for the cupcakes?
$21.45
$19.82
$18.92

Answers

Answer:

She spent 19.82 in all

Step-by-step explanation:

I added them

She spent 21.45
Because if you
Do math

Simplify x^3 * x^5 Rewrite the expression in the form x^n

Answers

Answer:

x^8

Step-by-step explanation:

Fencing costs £13.25 per metre.
How much does 12.5 m cost?​

Answers

Answer:

165.62500 or 165.625 (simplified

Step-by-step explanation:

In order to find the solution you need to multiply £13.25 by 12.5 m.

You can do this in a few ways:

£13.25^12.5£13.25 x 12.5

Both of those will get you your answer

165.62500

five waters bottles and 2 sodas cost $5.57

Answers

Answer:

ok

Step-by-step explanation:

1:30 o clock in words​

Answers

It would be one-thirty o clock

Hope this helps

Have a great day/night

x = 1


x = 2


x = 3


x = 4

Answers

Answer:

x=-12.8 or −64 /5

Step-by-step explanation:

ok easy as pie

interior plus exterior is 180 degrees

so 180-130=50

we know the last angle = 50

now lets add them all up and they should be equal to 180

all traingles interior angles add up to 180

180=(-21x+1)+(11x+1)+(50)

now solve

180=-21x+1+11x+1+50

180=-10x+52

52-10x=180

subtract 52

-10x=128

-12.8=x

x=-12.8 or −64 /5

Which expression is represented by the diagram?
--
--
|
0-6-6-1)
-8-502
-6-1
0-5-(-1)
-5-1

Answers

-6-(-1)

explanation:
-6-(-1)
remove parentheses
-6+1=5
there are only 5 blocks remaining and this equation is the only one that totals out to 5 blocks

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent? After next year, Aisha still needs to grow 43 more inches to ride. Aisha is less than 43 inches tall right now. Aisha needs to grow 43 more inches to ride. Aisha is at least 43 inches tall now.

Answers

Answer:

B

Step-by-step explanation:

right on edge 2020

Answer: i think it is b correct me if i am wrong

Step-by-step explanation:

Savannah wants to buy a new tablet that costs $140. She has a coupon expiring this week that is for 15% off any item. Next week, the tablet will be on sale for $125. When is it a better deal for Savannah to purchase the tablet, and why?​

Answers

Answer:

Its better to buy this week because it is cheaper with using coupon.

Step-by-step explanation:

140 x 0.85 = 119

125 > 119

SOLVE FOR X
X/3 + x-1/4 = 2+X
show (or describe every step)
the x-1/4 is ONE fraction, not a variable minus 1/4.

Answers

Answer:

Step-by-step explanation:

Thank you for the note. You show what you want like this.

X/3 + (x - 1)/4 = 2+X         Multiply both sides by 12.

[tex]\frac{12*x}{3} + \frac{12*(x -1)}{4} = 12(x + 2)[/tex]

Now take mini steps.

1. Divide 3 into 12

4x

2. Divide 4 into 12

3(x - 1)

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

Here's what you have.

4x + 3(x - 1) = 12(x + 2)                        Remove the brackets.

4x + 3x - 3 = 12x + 24                         Combine like terms

7x - 3 = 12x + 24                                 Subtract 7x from both sides.

- 3 = 12x - 7x +24

-3 = 5x + 24                                        Subtract 24 from both sides.

-27 = 5x                                              Divide by 5

x = -5.4

tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)

Answers

Note: your equation is a little bit unclear. Thus, I am assuming that

y = 2x+5

Anyway, the procedure remains the same. It would anyways clear your concept.

Answer:

We conclude that the ordered pair (2, 1) is a solution.

Step-by-step explanation:

Given the equation

[tex]y = -2x+5[/tex]

Check for point (2, 1)

substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.

[tex]y = -2x+5[/tex]

plug in x = 2 and y = 1

1 = -2(2)+5

1 = -4+5

1 = 1

R.H.S = L.H.S

TRUE

Therefore, the given ordered pairs satisifes the equation.

Hence, we conclude that the ordered pair (2, 1) is a solution.

Maria invests her $150 for 2 years at 4% per year compound interest.
A) Calculate the exact amount Maria has at the end of 2 years.
Maria continues to invest her money at 4% per year compound interest.
After 20 years she has $328.67.
i) Calculate exactly how much more this is than $150 invested for 20 years at
simple interest.
(ii) Calculate $328.67 as a percentage of $150.

Answers

Step-by-step explanation:

A)At the end of 2years compound interest=$150(1+4/100)²=$162.24

i) Amount difference=$328.67-{($150×4×20/100)+$150}

=$328.67-$270=$58.67

ii)328.67/150×100%=121.73%

If p = 3sec theta and q= 3 tan^2 theta - 1, then find p-q. ​

Answers

Answer:

[tex]p - q = 3 \sec\theta - (3 { \tan}^{2} \theta - 1) \\ = 3 \sec \theta - 3 { \tan}^{2} \theta + 1 \\ from \: identities \: \: { \tan }^{2} \theta + 1 = { \sec }^{2} \theta \\ = 3 { \sec } \theta - 3( { \sec }^{2} \theta - 1) + 1 \\ = 3 \sec\theta - 3 { \sec}^{2} \theta + 3 + 1 \\ = - 3 { \sec }^{2} \theta + 3 \sec\theta + 4 \\ = - 3( { \sec}^{2} \theta - \sec \theta - \frac{4}{3} )[/tex]

HELP ASAAAAAP EXPLAIIINNN

Answers

Answer:

dhdhrjfidgegehfr fhfn fhc fn dncc c. f byn

Step-by-step explanation:

h(t) = -16t² + 64t + 32

When h(t) = 80, -16t² + 64t + 32 = 80.

=> 16t² - 64t + 48 = 0

=> t² - 4t + 3 = 0

=> (t - 1)(t - 3) = 0

=> t = 1 or t = 3.

Hence the difference between the times is 2 seconds. (B)

The Martinex twins, Carlos and Clarita, are trying to find a
way to make money during the summer vacation. When they overhear their aunt complaining about how difficult it is to find someone to care for her pets while she will be away on a trip, Carlos
and Clarity know they have found the perfect solution. Not only do
they have a large, unused storage shed on their property where they
can house animals, they also have a spacious fenced backyard where
the pets can play. Carlos and Clarita are making a list of some of the
issues they need to consider as part of their business plan to care for cats and dogs while their owners are on vacation.

A:Cat pens will require 6ft2 of space, while dog runs require 24ft2. Carlos and Clarita have up to 360ft2 available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Utilize the information about space available to write a two variable equation to represent the amount of space used for boarding the cats and dogs. Start-up Costs: Carlos and Clarita plan to invest much of the $1280 they earned from their last business venture to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run. Write a two variable equation to represent the start-up costs for boarding the cats and dogs. and
Graph the two equations one the same x, y plane in Desmos



B: Clarita and Carlos realize after looking at the graphed equation models they do not have to use all of the available space nor do they need to use all of the start up money. They decide to explore a system where they can better visualize and plan for up to and including the available space and start up funds.

Change your original equations into inequalities
is screenshot

C:
Of course, Carlos and Clarita want to make as much money as possible from their business, so they are trying to determine how many of each type of pet they should plan to accommodate. They plan to charge $8 per day for boarding each cat and $20 per day for each dog. After surveying the community regarding the pet boarding needs, Carlos and Clarita are confident that they can keep all of their boarding spaces filled for the summer.
So the question is, how many of each type of pet should they prepare for? Their dad has suggested the same number of each, perhaps 12 cats and 12 dogs. Would the dad’s suggestion be possible? Why or why not?

Answers

Answer:

attached pic

Step-by-step explanation:

Use the coordinates of the labeled point to find the point slope equation of the line.

Answers

Answer:

B

Step-by-step explanation:

Here, we want to find the point-slope equation of the line

We start by getting the y-intercept of the line which is y = 3

The general equation of a straight line is;

y = mx + b

where b is the y-intercept

So, we have;

y = mx + 3

Now, to get m , we insert the point given on the like which is (2,-5)

x = 2 and y = -5

-5 = 2m + 3

-8 = 2m

m = -8/2

m = -4

So the equation of the line is;

y = -4x + 3

This is same as option B

Simplify the expression below
(-4x^3+ 2x^2 - 3x)

+

(x^3+ 2x^2+3x)

Answers

Answer: = -3x^3 + 4x^2

Step-by-step explanation:

Answer:

-3x^3 + 4x^2

lmk if this helps

CAN SOMEONE HELP ME PLEASE????
At the local video store, you can rent a video game for $3. You also have to pay a $10 membership fee. Write an equation to model the total cost, y, of renting x video games for $3 each and the $10 membership fee. Create a table of values. Use values of x from 0 to 5.
What is the total cost of 9 video games and the rental fee?

Answers

Answer:

y=3x+10

Step-by-step explanation:

The y-intercept or initial value is 10 as written on the problem and the slope is 3 because it says for each one of them. meaning that the equation will be y=3x+10

Can someone help me with this one

Answers

hmmmm put all the ratios in it like ac=8 by putting all values divide it if all part answer come same so your figure is congrenent

answer this pls pls pls pls pls

Answers

Answer:

1= 0.25feet per 1 second

2.= 120 seconds

3. 72 seconds or 1 minute 12 seconds

Step-by-step explanation:

1.= 2/8=1/4=.25

2.= 50-20=30

30/.25=120

3.= 18 feet/.25 feet= 72 seconds

Answer:

1= 0.25feet per 1 second

2.= 120 seconds

3. 72 seconds or 1 minute 12 seconds

Step-by-step explanation:

PLSPLSPLSPLS I NEED HELPPPPPPPP

Answers

Answer:

huh?

Step-by-step explanation:

what is 15267 times 16459 then divide by 7? ​

Answers

Answer:

33297327

Step-by-step explanation:

(15267 * 15267) ÷ 7

= 15267 * 15267

= 233081289 ÷ 7

= 33297327

Hope this helps! :)

given: rectangle JKLM

prove: JL = MK

Answers

Need more info attach a pic

Answer:

(In order, top to bottom. )

Definition of a rectangle

opposite sides of a rectangle are congruent

reflexive property of congruence

SAS congruence postulate

Step-by-step explanation:

Parallelogram JKLM is a rectangle and by definition of a rectangle, ∠JML

and ∠KLM are right angles, ∠JML ≅ ∠KLM because, all right angles are

congruent, ≅ because opposite sides of a parallelogram are congruent, and ≅ by reflective property of congruence. By the SAS

congruence postulate, ΔJML ≅ ΔKLM.

congruent parts of congruent triangles are congruent, ≅

The given quadrilateral is a parallelogram, that have interior angles that are right angles, therefore, the figure has the properties of a rectangle, and

parallelograms including the length of opposite sides are equal, all right angles are congruent and equal to 90° and the length of a side is equal to itself by reflexive property, & ≅

The Side-Angle-Side SAS postulate states that if two sides and an included

angle of one triangle are congruent to the corresponding two of sides and

included angle of another triangle, the two triangles are congruent.

Please help!!! ASAP!

Answers

I’m pretty sure it’s the first one

ab - bc+ ac, bc - ca+ ab, ca - ab-2bc

Answers

Answer:

[tex]ab-2bc+ca[/tex]

Step-by-step explanation:

Complete question is given below

Add:-

ab-bc+ac,bc-ca+ab,ca-ab-2bc

We have to find the result after addition

Now, adding all expression

We get

[tex]ab-bc+ac+bc-ca+ab+ca-ab-2bc[/tex]

Combine like terms then, we get

[tex](ab+ab-ab)+(bc-bc-2bc)+(ac-ca+ca)[/tex]

[tex]ab-2bc+ca[/tex]

Hence,[tex]ab-bc+ac+bc-ca+ab+ca-ab-2bc=ab-2bc+ca[/tex]

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