The length of a rectangle is 3 meter shorter than3 times its width.Find the length and width if the perimeter is 210 meters

Answers

Answer 1

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m


Related Questions

lcm of 120,5200 and 40​

Answers

Ok because what does this even mean

please help me, please

Answers

Answer:

A: 51

B:45

C:29

D:-316

Answer:

a. 51

b. 9

c. -3

d. -316

Four students are playing a card game. They decide to choose the first person to play by each selecting a card from the 52-card deck and looking for the highest card in value and suit. They rank the suits from lowest to highest: clubs, diamonds, hearts, and spades. (a) If the card is replaced in the deck after each student chooses, how many possible configurations of the four choices are possible

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a cone is shown below. V represents the volume, r radius and h height.

What is the height of a cone with a volume of 110 cubic cm and a base of 5 cm (so the radius is 2.5 cm)

V=1/3pir^2h

Answers

Answer:

110/5=2

2,5.5=15

2+15=17

Step-by-step explanation:

Someone plz help me :(

Answers

Answer:

c

Step-by-step explanation:

A nursery has $50,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 27% and the profit on a red maple tree is 17%. The profit for the entire stock is 20% how much was invested in each type of tree. I NEED THE ANSWER ASAP PLEASE

Answers

Answer:

Sorry do not have your answer

Step-by-step explanation:


help o don’t know any of theses answers please help me

Answers

Answer:

it's c

Step-by-step explanation:

c is the answer becuse its showing u that ob is perpenlicular to Ac

Solve for x
And show work

Answers

Answer:

2x - 20 + 7 = x - 1

2x - 13 = x-1

2x = x+12

x = 12

From an elevation of 0.5 m below the surface of the water, a swimmer dives at a rate of 0.25 m/s. What is the depth of the swimmer after 4 minutes?

Answers

Answer:

gg

Step-by-step explanation:

how much are 3 books if they add up to $24 and all of the prices are multiples of 4

Answers

If there are three books, and the total cost adds up to $24. And the price for a single book is a multiple of four….the price for one book is $8. I know this because 8 x 3 = 24.

Someone please help me out!!! ​

Answers

Answer:

a=54 b=57 AB=246. This is the best answer ever!!!

28=(6+x)(4+x)
Find x
X=0.38516 = -5+sqrt(24)
AB= 3.89897

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5 packages of water and 3 packages of cheese sticks

Step-by-step explanation:

the least common multiple of 6 and 10 is 30

A package of 5 pairs of insulated gloves costs ​$38.45 What is the unit price of the pairs of ​gloves? pls answer fast!!!!

Answers

Answer:

7.69 per gloves

Step-by-step explanation:

The product of 18 and Q algebra expression

Answers

Answer:

18q

Step-by-step explanation:

18*q=18q

Hope that helped :)

Answer:

[tex]18 \times q[/tex]

[tex]18q[/tex]

multiply 18 by q to get 18q as the answer

Please help me find the answer.​

Answers

Answer: sqrt 91

Step-by-step explanation:

We can substitute in y here as 30, so that 60+102=2x^2

182=2x^2

In the order of operations, it states that exponents comes before multiplication

91=x^2

So x will be the square root of 91

83% of408 ndjfjjfjfjfjfjfjfjfjfjfjfjfnfnnfndndnd

Answers

Answer:

338.64

Step-by-step explanation:

Multiply 408 by .83 and get 338.64.

The base of a triangle is 4x+6cm,the height is 5cm. What is the actual length of the base

Answers

is it 10cm long? 4 + 6 =10

There are 20 passengers in 10 cars. How many passengers per car?

Answers

Answer:

2 in each car. Simple.

Step-by-step explanation:

Answer: it’s two cause 20 divided by 10 is 2.

solve the equation and check the solution 3x+2(x+2)=22-3(2x-5)​

Answers

Answer:

x=3

Step-by-step explanation:

1) Delectable Cookie Company sells chocolate chip cookies for $6.95 per pound and
white chocolate cookies for $5.95 per pound. How many pounds of chocolate chip
cookies should be mixed with 4 pounds of white chocolate cookies to obtain a mixture
that sells for $6.75 per pound?

Answers

Answer: 16lbs

Step-by-step explanation: CCC=Chocolate Chip Cookie; WCC=White Chocolate Cookie.

Set up a table showing the pricing ($/lb) and pounds (lbs) for both cookies. The total value of the WCC is $23.8 ($5.95/lb x 4 lbs). The value of the CCC is 6.95x, where x is the lbs CCC.

CCC WCC

6.95 5.95 $/lb

x 4 lbs

6.95x 23.8 $ Total value [$/lb * lbs]

We want x lbs of CCC cookies such that the total value of cookies divided by the total number of lbs is equal to $6.75/lb. That can be written as:

(6.95x + 5.95*4)/(x+4) = 6.75 [Total value of cookies divided by total weight equals $6.75]

(6.95x + 23.8)/(x+4) = 6.75

6.95x + 23.8 =6.75x + 27

0.2x = 3.2

x = 16 lbs

We need 16 lbs of CCC added to the 4 lbs of WCC for a total weight of 20 lbs and a price of $6.75/lb.

The sum of two numbers is -12.6 identify the two negative addends that make the statement true

Answers

The sum of the two numbers = -12.6

The two negative addends that make the statement "The sum of two numbers is -12.6" true are -8.6 and -4

Let x represent the first negative number

Let y represent the second negative number

x   +  y   =   -12.6

To make the above equation to be true, assume a value f x that is negative but greater than -12.6

Let x = -8.6

Substitute x = -8.6 into the equation x + y = -12.6

-8.6  +  y   =  -12.6

Add 8.6 to both sides of the equation

-8.6  +  8.6  +  y   =  -12.6  +  8.6

y   =  -4

As a proof:

-8.6  -  4   =   -12.6

The two negative addends that make the statement "The sum of two numbers is -12.6" true are -8.6 and -4

Learn more here: https://brainly.com/question/2326415

5X-50+2X+80-X=180..............

Answers

Hey there!

5x - 50 + 2x + 80 - x = 180

COMBINE the LIKE TERMS

= 6x + 30 = 180

SUBTRACT 30 to BOTH SIDES

6x + 30 - 30 = 180 - 30

CANCEL out: -30 - 30 because that gives you 0

KEEP: 180 - 30 because it helps solve for the x-value

6x = 180 - 30

180 - 30 = 150

NEW EQUATION: 6x = 150

DIVIDE 6 to BOTH SIDES

6x/6 P 150/6

CANCEL out: 150/6 because that gives you the result of the x-value

x = 150/6

SIMPLIFY IT!

x = 25

Therefore, your answer is: x = 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

If you are solving for X, the answer will be 25. To solve this, isolate the variable by dividing each side by factors that don’t contain the same variable
Hope this helps :)

plsss someone help mee asap. Giving brainliest!!

Answers

12.2 cause sqrt150 = 12.247 which is 12.3 which would be the closest

Answer:

12.2

the answer is 12.2

using the check method

you will know I am correct

2+2x3+6=

Also what is this?

Answers

2+2x3+6=18

That happens nobody answers your question for a period of time, and so it is taken down and you get the points back

Answer:

The answer is 14

Step-by-step explanation:

Also it shows that when no one answers a question of yours.


What is the slope of the line that passes through (-8, 12) and (4, 3)?

Answers

You would use (y2-y1)/(x2-x1)
(3-12)/(4+8)
Answer -3/4

What does angle A equal

Answers

The sinA = opposite/hypotenuse

SinA = 4/6

Take the inverse sin (sin^-1) on the calculator with 4/6. 41.8 degrees should be correct.

How do you graph 2x+5

Answers

Answer:

Read explanation

Step-by-step explanation:

First you put a point on (0,5).  Then you perform rise/run which is the slope.  The slope is 2.  So from (0,5) you go up 2 and to the right one and make another point.  You then use a ruler and draw a line connecting them and put arrows at the end.  

I agree with them ^^^

(3n-4n+1)-(8n-4n+17)

Answers

Answer:

-5n - 16

Step-by-step explanation:

Step 1: Distribute the negative sign.

[tex]3n - 4n + 1 + (-1)(8n) + (-1)(-4n) + (-1)(17)[/tex] [tex]3n - 4n + 1 - 8n +4n - 17[/tex]

Step 2: Combine like terms.

[tex](3n-4n-8n+4n)+(1-17)[/tex] [tex]-5n - 16[/tex]

Therefore, the answer is -5n - 16.

Find the measure of each marked angle.

Answers

Answer:

X= 15, m∠78°

Step-by-step explanation:

Since the angles are vertically opposite

Therefore their measurements are equal

Therefore (2x + 48 ) = (5x + 3 )

So,

[tex](2x + 48) = (5x + 3)\\(2x-5x)= (3-48)\\-3x = -45\\x = -45/-3\\x = 15[/tex]

[tex](2x + 48)\\=( 2* 15 + 48)\\= 30 + 48\\=78\\\\(5x + 3)\\=(5*15 + 3)\\=75+3\\=78[/tex]

They both equal 78°

If f(x) is an exponential function where f(-2) = 1 and f(7) = 63, then find the
value of f(1), to the nearest hundredth.

Answers

An exponential function is represented as: [tex]\mathbf{f(x) = ab^x}[/tex]

The value of f(1) is 3.95

f(-2) = 1 means that:

[tex]\mathbf{ab^{-2} = 1}[/tex]

f(7) = 63 means that:

[tex]\mathbf{ab^{7} = 63}[/tex]

Divide both equations

[tex]\mathbf{\frac{ab^7}{ab^{-2}} = \frac{63}{1}}[/tex]

Apply law of indices

[tex]\mathbf{b^9 = 63}[/tex]

Take 9th root of both sides

[tex]\mathbf{b =1.58}[/tex]

Make a, the subject in [tex]\mathbf{ab^{-2} = 1}[/tex]

[tex]\mathbf{a = \frac{1}{b^{-2}}}[/tex]

[tex]\mathbf{a = b^2}[/tex]

Substitute [tex]\mathbf{b =1.58}[/tex]

[tex]\mathbf{a = 1.58^2}[/tex]

[tex]\mathbf{a = 2.50}[/tex]

So, we have:

[tex]\mathbf{f(x) = ab^x}[/tex]

[tex]\mathbf{f(x) = 2.50 \times 1.58^x}[/tex]

Substitute 1 for x

[tex]\mathbf{f(1) = 2.50 \times 1.58^1}[/tex]

[tex]\mathbf{f(1) = 3.95}[/tex]

Hence, the value of f(1) is 3.95

Read more about exponential functions at:

https://brainly.com/question/3127939

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