The length of a rectangular pool is 4 meters less than twice the width. If the pool's perimeter is 64 meters, what is the width?​

Answers

Answer 1

this is best solved using algebra

let the width be 4x (since it is 4 times more the length)

let the length be x

the formula for perimeter is (l+b)2 let us sub these variables in our formula

(x + 4x)2 = 64

expand brackets

2x + 8x = 64

combine like terms

10x = 64

make x the subject

x = 64/10 = 6.4

the length is 6.4 m

now let's find the width, the width is 4 times more the length so we simply substitute our value we found for x in 4x

we get:

4(6.4) = 25.6

the length is 25.6m

let's check our answers to see if its correct

25.6 + 6.4 = 32

32 × 2 = 64

the answer is correct


Related Questions

Find x intercept
(0, 24) (4,0)

Answers

Answer:

bt.ly/d97sjdu8 there is your answer!

Step-by-step explanation:

Answer:

x-intercept is 0

Step-by-step explanation:

(0, 24) (4,0)

(x, y)

0/4=0

A. 48 inches
B. 4 feet

Explain why length A is equivalent to length B. Use your knowledge of converting inches to feet in your answer.

Answers

Answer:

As 1 feet = 12 inches

Therefore, 4 feet = 48/12

= 4

Answer = 4 feet

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

1. “Zoe and Toria are going into business. They need 80,000 to start the business. Their investment is 3:5, respectively.

a. What's Zoe & Ares individual investment amounts?

b. What percent did each person invest?

Answers

9514 1404 393

Answer:

  a. Z: 30,000; T: 50,000

  b. Z: 37.5%; T: 62.5%

Step-by-step explanation:

a. The "ratio units" add up to 3+5 = 8, so we can find the investment amounts by multiplying the ratio by 10,000

  Z : T = 3 : 5 = 30,000 : 50,000

Zoe invested 30,000Toria invested 50,000

__

b. Zoe's investment amount is 3/8 of the total, or ...

  3/8 × 100% = 37.5%

Toria's percentage is the rest of it:

  100% -37.5% = 62.5%

  Zoe invested 37.5% of the total; Toria invested 62.5% of the total.

x^2+12x-20/3x-5 = x^2+8x+12/2x+3
[tex] \frac{ {x}^{2} + 12x - 20}{3x - 5} = \frac{ {x}^{2} + 8x + 12}{2x + 3} [/tex]
Solution give;;;​

Answers

Answer:

In attachment I have answered this problem.

Multiplying polynomials

Answers

Steps are in the attachment.

________

Hope it helps :)) ⚜

consider the sequences 31,35,39,43 ,then which of the following is the first terms of the sequences greater than 312​

Answers

Answer:

316 ls the next term greater than 312. in the sequence you are adding 4 to the preceding term

The distance between Kathmandu to Hetauda is 86 km. convert the distance from km into meter (m).​

Answers

1km is equivalent to 1000m,Accordingly,86 km is equivalent to 86000m

Answer:

86000 meters

remeber:   1km = 1000m

so.....

86 x 1000 = 86000 right?? ;-;

Evaluate - 2c + d for c = -9 and d = 4.

Please help.​

Answers

Answer:

-14

Step-by-step explanation:

2c + d

We are given the values of c and d:

c = -9

d = 4

We substitute in these values

2(-9) + 4 = ?

2 times -9 is -18

-18 + 4 = -14

2c + d = -14

How do you apply the distrubtive property to simplify the expression. -3(6+2

Answers

Answer:

-24

Step-by-step explanation:

multiply the 6 by the -3 and the 2 by -3

you get -18+-6

if you add them together u get -24

Hey there!

-3(6 + 2)

= -3(8)

= -24

Therefore, your answer is: -24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What is 919,827 rounded to the nearest hundred

Answers

Answer:

919,800

Step-by-step explanation:

To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.

PLZ HURRY IT'S URGENT!!!!
Find the area of the circle to the nearest hundredth. (Use 3.14 for π)



options:

452.16 cm2


37.68 cm2


113.04 cm2


18.84 cm2

Answers

Answer:

113.04 cm^2

Step-by-step explanation:

To find the area, you do radius squared, multiplied by [tex]\pi[/tex]

Radius is half of the diameter. 12/2 is 6

6^2×3.14=113.1

Mary is doing research on bird migration. Last week she counted 12 migration birds in her yard. This week she counted 10. What was the percent decrease in birds this week?​

Answers

16.67% decrease in birds per weeks

Which expression is equivalent to this polynomial expression?
(5ry2 + 3x2 – 7) + (3.272 – 142 + 3y2 + 4)

Answers

Answer:

Step-by-step explanation:

the answer  is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps

Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.

6x + y = 2
1 x - 4y = 2

The estimated solution is (__,__)

Answers

Answer:

using substitution method you'll be able to get the value of x then after finding x

Simplify the linear expression.

−23a+18−16a−34

Answers

Answer:

-39a - 16 is not the answer, it's -5/6a - 5/8

Step-by-step explanation:

Took the test and got it incorrect.

Answer:

-5/6a - 5/8

Step-by-step explanation:

There is a massive difference between -2/3a & -23a.

Same goes for 1/8 & 18, -1/6a & -16a, and -3/4 & -34.

My earlier answer, -39a - 16, IS correct for the question you wrote. What was incorrect was the question.

It is important to write the question properly because

−23a+18−16a−34

and

−2/3a+1/8−1/6a−3/4

will have very different answers.

In conclusion, make sure you write your question correctly. It's unfair to others genuinely trying to help who then are blamed for supplying the "wrong answer" by others who also copied and pasted from their school work.

If you had written, −2/3a+1/8−1/6a−3/4, then the answer would be -5/6a - 5/8.

The number of fish in a lake decreased by 15% between last year and this year. This year, there were 51 fish in the lake. What was the population last year? Consider creating a tape diagram, to help you make sense of the situation.​

Answers

Answer:

234

Step-by-step explanation:

the d of c e rt rt egr yr oigj rethoy ejtheruot  utheoig  eoigh eoijg oeijrg ioetjg eroitj e eiotj  ertioj wet df fv 1q3r  2396 e059i58 the end oej etejg rtyehr

The answer to your question is 7.65.

In physics, the equation PV = nRT is called the ideal gas law. It is used to approximate the behavior of many gases under different conditions.

P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas. Which equation is solved for T?

A: PV/R = nT

B: PV/nR = T

C: T= PV - nR

D: PVnR = T​

Answers

Answer:

Option B

Step-by-step explanation:

[tex]PV = nRT\\\rule{150}{0.5}\\\rightarrow \frac{PV = nRT}{nR}\\\\\rightarrow \boxed{\frac{PV}{nR} = T}[/tex]

Hope this helps.

The equation for T will be;

⇒ T = PV/nR

Where, P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.

Option B is true.

What is Linear equation?

When in an equation the highest power of variable is one then its called Linear equation.

Given that;

The equation for the ideal gas law is,

PV = nRT

Where, P, V, and T represent pressure, volume, and temperature,

n represents the number of moles of gas, and R is a constant for the ideal gas.

Now,

Solve the equation for T as;

PV = nRT

Divide both side by 'nR' we fet;

PV/nR = nRT/nR

PV/nR = T

T = PV/nR

Thus, The equation for T will be;

⇒ T = PV/nR

Learn more about the linear equation visit:

https://brainly.com/question/85774

#SPJ5

A waiter carried 6 baskets with 5 dinner rolls in each
basket. How many dinner rolls did he carry? Show
your work.


Answers

Answer:

30 dinner rolls

Step-by-step explanation:

There are 5 dinner rolls per basket and there are 6 baskets

So there are 6 groups of 5:

5 + 5 + 5 + 5 + 5 + 5

In other words, multiply 5 and 6

5 dinner rolls x 6 = 30 dinner rolls

5x6=30

Each basket has five rolls so you have to do 5+5+5+5+5+5 which equals 30

A line has a slope of –8 and includes the points (5,–3) and (4,z). What is the value of z?

Answers

It’s or should be 6z

consider the following equation:

2x−6y=9
Determine if the given ordered pair, (2,1/2), satisfies the given equation
yes or no

Answers

Answer:

The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all equations in the system.  The solution is the ordered pair(s) common to all lines in the system when the lines are graphed.

Lines that cross at a point (or points) are defined as a consistent system of equations. The place(s) where they cross are the solution(s) to the system.

Parallel lines do not cross. They have the same slope and different y-intercepts. They are an example of an inconsistent system of equations. An inconsistent system of equations has no solution.

Two equations that actually are the same line have an infinite number of solutions. This is an example of a dependent system of equations.

Step-by-step explanation:

Solve the system of equations graphically.

3x + 2y = 4

−x + 3y = −5

Solution

Graph each line and determine where they cross.

The lines intersect once at (2, −1).

A graphic solution to a system of equations is only as accurate as the scale of the paper or precision of the lines. At times the point of intersection will need to be estimated on the graph. When an exact solution is necessary, the system should be solved algebraically, either by substitution or by elimination.

Substitution Method

To solve a system of equations by substitution, solve one of the equations for a variable, for example x. Then replace that variable in the other equation with the terms you deemed equal and solve for the other variable, y. The solution to the system of equations is always an ordered pair.

Example

Solve the following system of equations by substitution.

x + 3y = 18

2x + y = 11

Solution

Solve for a variable in either equation. (If possible, choose a variable that does not have a coefficient to avoid working with fractions.)

In this case, it's easiest to rewrite the first equation by solving for x.

x + 3y = 18

x = −3y + 18

Next, substitute (−3y + 18) in for x into the other equation. Solve for y.

2(  3y + 12x + y = 11

2(−3y + 18) + y = 11-------Substitute -3y + 18 in for

   −6y + 36 + y = 11-------Distribute.

2(3y −5y + 36 = 11-------Combine like terms.

2(3y +  18−5y = −25-----Subtract 36 from both sides

2(3y + 18) +  y = 5----   -Divide both sides by -5.

Then, substitute y = 5 into your rewritten equation to find x.

x = −3y + 18

x = −3(5) + 18

x = −15 + 18

x = 3

Identify the solution.   A check using x = 3 and y = 5 in both equations will show that the solution is the ordered pair (3, 5).

Elimination Method

Another way to solve a system of equations is by using the elimination method.  The aim of using the elimination method is to have one variable cancel out. The resulting sum will contain a single variable that can then be identified. Once one variable is found, it can be substituted into either of the original equations to find the other variable.

Example

Find the solution to the system of equations by using the elimination method.

x − 2y = 9

3x + 2y = 11

Solution

Add the equations.

 x −  2y = 9

3x +  2y = 11

4x +  2y = 20

Isolate the variable in the new equation

4x = 20

 x = 5

Substitute x = 5 into either of the original equations to find y.

 x − 2y = 9

(5) − 2y = 9

     −2y = 4

        y = −2

Identify the ordered pair that is the solution.   A check in both equations will show that (5, −2) is a solution.

It may be necessary to multiply one or both of the equations in the system by a constant in order to obtain a variable that can be eliminated by addition. For example, consider the system of equations below:

3x + 2y = 6

 x − 5y = 8

Both sides of the second equation above could be multiplied by −3. Multiplying the equation by the same number on both sides does not change the value of the equation. It will result in an equation whereby the x values can be eliminated through addition.

Special Cases

In some circumstances, both variables will drop out when adding the equations. If the resulting expression is not true, then the system is inconsistent and has no solution.

4x + 6y = 13

6x + 9y = 17

3(4x + 6y = 13)

2(6x + 9y = 17)

12x + 18y = 39

12x + 18y = 34

             0 = 5

The equation is false.  The system has no solution.

If both variables drop out and the resulting expression is true, then the system is dependent and has infinite solutions.

6x + 15y = 24

4x + 10y = 16

2(6x + 15y = 24)

3(4x + 10y = 16)

12x + 30y = 48

12x + 30y = 48

             0 = 0

The equation is true.  The system has an infinite number of solutions.  (Notice that both of the original equations reduce to 2x + 5y = 8.  All solutions to the system lie on this line.)

SIMPLIFIED POLYNOMIALS. Combine all the similar terms of each polynomial
1. 4x + 2x - 3x
2. 10xy + 4y - 8xy + 9y
3. 6x2 + y - 8x2 + 2 + 3y
4. 14a3 - a2 + 3a2 - 16a3 + a2
5. -5pq2 + 3pq2 - p2q + pq2 - 7p2q

Answers

Answer:

1. 3x

2. 2xy+13y

3. -2x^2+4y+2

4. -2a^3+3a^2

5. -2pq^2-7p^2q

Determine whether the relation represents a function.
{(-1, -1),(-2, -2), (-3, -3)}

Answers

Answer:

yes it determines a function

Step-by-step explanation:

has exactly 1 x value for every y value

Use an equation to find the value of k so that the line that passes through the given points has the given slope.

(−4,k), (6,−7); m=−15

Answers

Answer:

Step-by-step explanation:

(-7 - k)/(6 + 4) = -15

(-7 - k)/10 = -15

-7 -k = -150

-k = -143

k = 143

Solve the system, or show that it has no solution.
10x + 4y = 14
15x + 6y = 21

Answers

Answer:

Step-by-step explanation:

(6)10x + 4y = 14(6)

4(15x + 6y) = 21(4)

60x + 24y = 84

60x + 24y = 84

It has infinite, as if this were to be graphed the lines would overlap.

what is 20 as a decimal

Answers

Answer:

0.2

Step-by-step explanation:

20/100 as a decimal is 0.2.

Answer:

0.2

Step-by-step explanation:

can someone pls help me with dis ill give brainliest​

Answers

9514 1404 393

Answer:

  a) 9×10⁶ +1×10³ +1×10²

  b) 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰

Step-by-step explanation:

The place value of each digit is 10 to a power equal to the number of places the digit is to the left of the units (ones) place. That is, the exponent of 10 is the number of zeros in the multiplier for place value.

a)

9,001,100 = 9×1,000,000 +1×1,000 +1×100 = 9×10⁶ +1×10³ +1×10²

__

b)

87,096,142 = 80,000,000 +7,000,000 +90,000 +6,000 +100 +40 +2

  = 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰

_____

Additional comment

It is useful to learn to think of place value in this way, because it helps immensely when you convert numbers to or from scientific notation.

You may notice the powers of ten count up for places to the left of the decimal point. They count down for places to the right. That is, the tenths place has a place value that is the inverse of the tens place: 1/10 = 10⁻¹.

Please help me please please help me will give brainly to whoever actually answers this question

Answers

9514 1404 393

Answer:

car value: $4,953.84population: 446maybe not

Step-by-step explanation:

All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.

The general form of the value after t years is ...

  (initial value)×(1 +annual growth rate)^(years)

The growth rate is positive for an increase, negative for a decrease.

a) Initial value: 22385; growth rate: -0.14; years: 10

  value after 10 years: $22385×(1-0.14)^10 = $4953.84

__

b) initial value: 290; growth rate: 0.09; years: 5

  population after 5 years: 290(1+.09)^5 = 446

__

c) initial value: $4000; growth rate: -0.10; years: 8

  value after 8 years: $4000(1 -0.10)^8 = $1721.86

Selling the car for $1500 is selling it for less than its estimated value. That may not be a good decision.

_____

Additional comment

The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.

Precalc please help

Answers

The second one hope this helps

Jim swam 8 laps on Tuesday, 19 laps on Wednesday, 30 laps on Thursday, and 41 laps on Friday. What kind of sequence is this? both neither arithmetic geometric​

Answers

It may be the Harmonic Sequence but I am not sure.

Whats (c) ????????????? ????

Answers

Answer:

11

Step-by-step explanation:

yeah-ya............ right?

Check the picture below.

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