A rectangle garden has a length of 5 less than 2 times the width. the perimeter if 50 meters. what are the side lengths?

Answers

Answer 1

The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.

Perimeter of the rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.

The formula for perimeter of the rectangle is,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

A rectangle garden has a length of 5 less than 2 times the width.

The perimeter if 50 meters.

Here we need to find the side lengths of the rectangle garden.

Let w be the width of the garden.

According to the given details, the length is

l =2w - 5

Now apply the values on the perimeter formula,

Then

=> 2 ((2w - 5) + w) = 50

=> 2 (3w - 5) = 50

=> 3w - 5 = 25

=> 3w = 30

=> w = 10 meters.

Apply the value of width on the equation to find the length of the garden.

=> l = (2 x 10) -5

=> l = 20 - 5

=> l = 15 meters.

Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.

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Related Questions

1) 6х - 4 = 5х - 11 ; ??


2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??

Answers

Answer:

1 ans

Step-by-step explanation:

6x - 4 = 5x-11

6x- 5x = -11+ 4

x = -7

What is 166.44 dived by 4. PLEASE USE LONG DIVISION. The person who USES LONG DIVISION TO GET THE ANSWER GETS 10 points and brainiest.

Answers

Answer:

41.61

Step-by-step explanation:

Just divide.

[tex]\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}[/tex]


Answer: We have the equation:

166.44 ÷ 4 = 41.610

Calculated to 3 decimal places.

 0 4 1. 6 1 0

4 1 6 6. 4 4 0

− 0          

 1 6        

− 1 6        

   0 6      

 −   4      

     2 4    

   − 2 4    

       0 4  

     −   4  

         0 0

       −   0

           0

Step-by-step explanation: hope this helps

EASY NEED THE ANSWER FAST

Answers

b: 3 x 10 to the power of 7

can you please give brainliest

Error Analysis You and a friend are doing math homework together. You have to solve the equation 5x + 4x - 68 = 34 - 8x. Your friend arrives at the incorrect answer x = -2. Find the correct value of x. Then find the error your friend possibly made. X = What possible error could your friend have made to get x = -2? OA. Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side. OB. Your friend should have added 8x to each side of the equation, but instead subtracted 8x from the left side. OC. Your friend should have added 5x and 4x to get a sum of 9x, but instead got a sum of 8x. *


please help. my math teacher is happy with my grade so im trying mu best to get it up. please answer this. it will help alot </3​

Answers

Answer: x=6

Step-by-step explanation:

[tex]5x+4x-68=34-8x\\\\9x-68=34-8x\\\\9x-68+8x=34-8x+8x\\\\17x-68=34\\\\17x-68+68=34+68\\\\17x=102\\\\Divide \ both \ parts\ of\ the\ equation\ by\ 17:\\\\x=6\\[/tex]

Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side.

[tex]17x=34-68\\17x=-34[/tex]

Divide both parts of the equation by 17:

[tex]x=-2[/tex]

if 52-4x=28, then x=6

Answers

Okay so if I’m reading this right it should be 52-4x=28 than X=6 than
-4*6(x) = -24 so it’s correct but if that’s not the answer try, -24x=24 so it would equal X=-1

solve the question 3/8x-1/4=1/2


x=?

Answers

Answer:

Step-by-step explanation:

the answer is simply 2

Which number is greater,
23
×
10
3
or
11
×
10
4
? How do you know? Show your work and explain your steps.

Answers

Answer:

Answer: 11x10^4 is greater. Step-by-step explanation: 23x10^3 = 23x10x10x10 = 23000. 11x10^4 = 11x10x10x10x10 = 110000. 110000 is greater than 23000.

Step-by-step explanation:

cos

Someone please help me

Answers

Answer:

Please see the picture below.  You were on the right track.  You were just off in letter A.

Step-by-step explanation:

what is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (1 point) y − 5

Answers

y - 11 = -3 ( x + 2) is the equation in point-slope form of the line .

What is slope ?

The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").

Given points :  (0, 5) and (−2, 11)

Slope of the line passing through given points

[tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{11 - 5}{-2 - 0} = \frac{6}{-3} = -3[/tex]

Thus, slope of line passing through given points m=-3

We know that the equation of a line passing through points ( x₀ , y₀) with slope 'm' is ( y - y₀ ) = m(x - x₀)

Thus, equation of a line passing through (−2, 11) with slope m=-3 will be

( y - 11 ) = -3 ( x - (-2))

y - 11 = -3 ( x + 2)

Hence, the equation of line is y - 11 = -3 ( x + 2).

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Quinten has a secret. On the first day of school, he tells his closest friend. On the second day, they each tell the
secret to someone else. Each person that hears the secret shares the secret with a new person each day.
a. How many people will know the secret on the 4th day of school?

Answers

On the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.

What is Geometric progression?

A sequence in which the ratio of any term and its previous term is equal to a fixed constant called common ratio [r] is called geometric progression. For example -

3, 6, 12, 24, ... and so on.

Given that Quinten shares a secret with his friend and each person that hears the secret shares the secret with a new person each day.

On the first day only 2 people know the secret i.e. Quinten and his close friend. Now, they both will tell one new person on second day, which means that by the end of second day four persons will know the secret. Now, these four persons will share with new individual, this gives us a total of 8 persons, who knows the secret by the end of day three and so on.

Now, we get the following sequence -

2, 4, 8, ...... and on.

Now, we can clearly see that -

4/2 = 8/4 = 2

Therefore, this sequence is a geometric progression with common ratio

r = 2.

Assume the 4th term of GP is x. Therefore -

x/8 = 2

x = 16

Therefore, on the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.

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Solve for x. (2x+3) (x-6)

Answers

Answer: 2x^2 − 9x − 18

Step-by-step explanation:

(2x + 3)(x − 6)

= (2x + 3)(x + −6)

= (2x)(x) + (2x)(−6) + (3)(x) + (3)(−6)

= 2x^2 −12x + 3x − 18

= 2x^2 − 9x − 18

Ricky has some cookies. he ate 1/8 of his cookies and an additional 14 cookies on friday. he then ate 3/10 of the remaining cookies and an additional 24 cookies on saturday. he ate 40 cookies on sunday and had 34 cookies left. how many cookies did ricky have at first?

Answers

Ricky had 176 cookies initially

Let Ricky has x number of cookies

Cookies left after he ate 1/8 of his cookies and additional 14 cookies:

x - (1/8x + 14)

Cookies left after he ate 3/10 of the remaining cookies and an additional 24 cookies on Saturday:

x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24)

Cookies left after he ate 40 more cookies on Sunday

x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24) - 40 ------(1)

Cookies left with him at the end = 34

Therefore, equating equation (1) with 34

(7/10)((7x/8) - 14) - 64 = 34

x = 176

Thus Ricky had 176 cookies intially

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Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins .the value of his 10- cents coins was 30% of the total value of all his coins.the value of his 20-coins wad 28% of the total value of all his coins. what was the value of his 50-cents coins?

Answers

The value of 50-cents coins is $21, the value of 10-cents coins is $15 and the value of the 20-cents coins is $14.

Percentage of the number:

Percentage is defined as the a number or ratio that can be expressed as a fraction of 100.

If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given,

Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins.

The value of his 10- cents coins was 30% of the total value of all his coins.

The value of his 20-cents coins was 28% of the total value of all his coins.

Here we need to find the value of 50-cent coins.

We know that,

Total value = $50

So the value of 10-cent coins

=> 30% × $50 = $15

Then the value of 20-cent coins

=> 28% × $50 = $14

Through the known values of 10-cents and 20-cents we have calculate the value of 50-cents coins as,

=> $50 – $15 – $14 = $21

Therefore, the value of 50-cents coins is $21.

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Use cross products to solve the proportion.

StartFraction 4 over 3 EndFraction = StartFraction x over 12 EndFraction

1. Use cross products: (4)(12) = 3x

2. Multiply: 48 = 3x

3. Divide both sides by 3:
= x
drawing.

Answers

According to the cross product, The value of x in the expression becomes 16.

According to the statement

We have to find that the value of the expression.

So, For this purpose, we know that the

Cross product is a binary operation on two vectors in three-dimensional space.

From the given information:

The expression is a

StartFraction 4 over 3 EndFraction = StartFraction x over 12 EndFraction

IN simple words, it becomes:

4/3 = x/12

Then we have to find the value of the x then

4/3 = x/12

Now cross multiply each other then

4 =3x/12

3x = 48

Then

x = 48/3

x = 16.

So, According to the cross product, The value of x in the expression becomes 16.

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To complete bookshelves a customer at your store needs to purchase vertical brackets to attach to the wall the customer wants the shelving to be 9 ft high and 10 ft long the wall brackets come in 48 in and 60-in sections the 48-in sections cost $12.95 each the 60-in sections cost $16.95 each the brackets should be 1 ft from each end and no more than 24 inches apart what will be the total cost of the brackets before tax

Answers

The total cost of the brackets before tax = $89.70

Height = 9 feet

length = 10 feet

Wall brackets come in 48-in cost $12.95 and 60-in costing $16.95

Distance of brackets from ends = 1 foot

Maximum distance between brackets = 24 inches

The brackets are:

  48/12= 4feet, and 60/12 = 5feet

One of each must be used to cover the height of the shelf.

The length of the shelf is 60 inches

On subtracting 1 foot from each side of the allowance we get, 60-2 = 58-in

Then dividing by 24 we get

58/24 ≈3

The Total cost = (12.95 + 16.95)×3

                        = $89.70

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Hi I need help solving and graphing this. Both in interval and set builder notation as well 4<2y+6<10

Answers

Answer:

Step-by-step explanation:

Which equation is true when c = 3?

2c + 8 = 31

35 − 5c = 32

9 − 6c = 0

4c + 8 = 20

Answers

4c+8=20 is correct
4•3=12
12+8=20

Answer:

4c + 8 = 20

Step-by-step explanation:

To find which equation is true, we have to plug 3 into x in each equation.

2c + 8 = 31

Plug in 3 into c

2(3) + 8 = 31

6 + 8 = 31

14 = 31

Since 14 doesn't equal 31, this equation isn't true.

35 − 5c = 32

Plug in 3 into c

35 − 5(3) = 32

35 - 15 = 32

20 = 32

Since 20 doesn't equal 32, this equation isn't true.

9 − 6c = 0

Plug in 3 into c

9 − 6(3) = 0

9 − 18 = 0

-9 = 0

Since -9 doesn't equal 0, this equation isn't true.

4c + 8 = 20

Plug in 3 into c

4(3) + 8 = 20

12 + 8 = 20

20 = 20

Since 20 equals 20, this equation is true.

Have a lovely rest of your day! :)

637,982 + 2,819 i need it

Answers

Answer: 640801

Step-by-step explanation: Simply add both together, 637,982 plus 2819.

Answer:

637, 982 + 2,819 = 640,801

Please help due soon.

Answers

Answer should be l=p-w/2, or c.

1/4(x-2) +4=12
how do i solve thisssss plssss help it’s for tmr

Answers

Answer:

x = 34

Step-by-step explanation:

1/4(x - 2) + 4 = 12

Subtract 4 from both sides.

1/4(x - 2) = 8

Multiply both sides by 4.

x - 2 = 32

Add 2 to both sides.

x = 34

   [tex]\bf{\dfrac{1}{4}(x-2)+4=12 }[/tex]

Use the distributive property to multiply 1/4 times x−2.

     [tex]\bf{\dfrac{1}{4}x+\dfrac{1}{4}(-2)+4=12 }[/tex]

Multiply 1/4 and −2 to get -2/4.

             [tex]\bf{\dfrac{1}{4}x+\dfrac{-2}{4}+4=12 }[/tex]

Reduce the fraction -2/4 to its minimum expression extracting and canceling 2.

             [tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+4=12 }[/tex]

Convert 4 to the fraction 8/2.

               [tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+\dfrac{8}{2} =12 }[/tex]

Since -1/2 and 8/2 have the same denominator, add their numerators to add them together.

                 [tex]\bf{\dfrac{1}{4}x+\dfrac{-1+8}{2 }=12 \ \ \longmapsto \ \ [Sum \ -1 \ and \ 8] }[/tex]

                      [tex]\bf{\dfrac{1}{4}x+\dfrac{7}{2 }=12 }[/tex]

Subtract 7/2 from both sides.

                         [tex]\bf{\dfrac{1}{4}x=12-\dfrac{7}{2} }[/tex]

Convert 12 to the fraction 24/2.

                         [tex]\bf{\dfrac{1}{4}x=\dfrac{24}{2}-\dfrac{7}{2} }[/tex]

Since 24/2 and 7/2 have the same denominator, subtract their numerators to subtract them.

            [tex]\bf{\dfrac{1}{4}x=\dfrac{24-7}{2} \ \ \longmapsto \ \ [Subtract \ 7 \ from \ 24] }[/tex]

                   [tex]\bf{\dfrac{1}{4}x=\dfrac{17}{2 }[/tex]

Multiply both sides by 4, the reciprocal of 1/4.

              [tex]\bf{x=\dfrac{17}{2}\times4 \ \longmapsto \ \ x=\dfrac{17\times4}{2} \ \ \ [Multiply \ 17 \ and \ 4.] }[/tex]

                            [tex]\bf{x=\dfrac{68}{2} \ \ \longmapsto \ \ \ [Split] }[/tex]

                               [tex]\red{\boxed{\bf{\blue{Answer \ \ \longmapsto \ \ x=34}}}}[/tex]

Skandar

-x-12-3 or -62-x-1< need help with this please

Answers

Answer is x ≤ - 4

According to the question ,

- 3 ≥ x + 1

rearrange the equation

x + 1 ≤ - 3

x ≤ - 4  {solution of inequality}

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign

While graphing inequalities, we have to keep the following things in mind.

For graphing inequalities with two variables, you will have to plot the "equals" line and then, shade the appropriate area. There are three steps:

Write the equation such as "y" is on the left and everything else on the right.

Plot the "y=" line (draw a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade the region above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

If the endpoint is included (i.e., in case of ≤ or ≥) use a closed circle.

If the endpoint is NOT included (i.e., in case of < or >), use an open circle.

Use open circle at either ∞ or -∞.

Draw a line from the endpoint that extends to the right side if the variable is greater than the number.

Draw a line from the endpoint that extends to the left side if the variable is lesser than the number.

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please help me out with 2, 5, 8, 9, 7, and 10!

Answers

Considering the condition for a relation to be a function, we have that:

These items represent functions: 2, 5, 9, 10B.These items do not represent functions: 7, 8, 10A.

When does a relation represents a function?

A graph represents a function if each value of the input is mapped to only one value of the output.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

Hence:

The table in item 2 represents a function, as each value of x is mapped to only one value of y.The relation in item 5 represents a function, as each value of x is mapped to only one value of y.The table in item 7 does not represent a function, as the input -4 is mapped to two outputs, -2 and 2.The relation in item 8 does not represent a function, as the input 1 is mapped to two outputs, -1 and 1.The graph in item 9 represents a function, as it has no vertically aligned points.The table A in item 10 does not represent a function, as the input -9 is mapped to multiple(four) outputs.The table B in item 10 represents a function, as each value of x is mapped to only one value of y.

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HELPPP

Solve for x and graph the solution on the number line below.


-x - 8 ≤ -15 and -18 ≤ -x - 8

Answers

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

What is the solution to the compound inequality?

Given the data in the question;

-x - 8 ≤ -15 and -18 ≤ -x - 8

To solve, simplify the first part of the inequality by solving for x.

-x - 8 ≤ -15

Add 8 to both sides

-x - 8 + 8 ≤ -15 + 8

-x ≤ -7

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≥ -7/-1

x ≥ 7

Next, simplify the second part of the inequality by solving for x

-18 ≤ -x - 8

Rewrite as

-x - 8 ≥ -18

Add 8 to both side

-x - 8 + 8 ≥ -18 + 8

-x ≥ -10

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≤ -10/-1

x ≤ 10

Now, the intersection consist of the elements that are contained in both intervals.

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

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What is the output of the following command, given that value1 = 2.0 and value2 = 12

Answers

if value1 = 2.0 and value2 = 12, then the output of a following command = 24.0

The correct option is A.

Briefing:

The output of the given document is issued is 24.0 (2.0 * 12=24, i.e., it is simply the multiplication operation) if both values, i.e., value 1 and value 2, are taken into consideration as decimal data type values.

A simple data type is what, exactly?

There is only one value represented by simple data types. Integer: a basic data type used in the creation of policies. A positive or negative whole number is represented by the integer data type. 0, 1, 2, 3, and 4 are examples of integers.

Why do we employ data types?

An attribute of data that instructs a computer system how to interpret its value is called the data type. Knowing the different types of data makes it possible to collect information in the desired format and ensure that the values of each property are as expected.

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I understand that the question you are looking for is:

What is the output of the following command, given that value1 = 2.0 and value2 = 12? print (value+ value2)

A) 24.0

B) value + value2

C) 24

D) 2.0 + 12

A scale that allows us to rank individuals or objects, but not to say anything about the meaning of the differences between the ranks, is a(n)?

Answers

A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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(-1)X 12 times=(-1) to the 12th power. Will these products be negative or positive?

Answers

[tex](-1)x\times(-1)^{12}\implies -x\times(-1)^{2+2+2+2+2+2} \\\\\\ -x\times(-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 \implies -x\times 1\cdot 1\cdot 1\cdot 1\cdot 1\cdot 1\implies -x[/tex]

bear in mind that any value raised to an even power, will always positivize.

Write an expression for the area of a rectangle if the length is 2x^2-3x+1 and the width is x-2.

Answers

The expression for the area of a rectangle is [tex]2x^3-7x^2+6x-2[/tex].

It is given in the question that the length of the rectangle is [tex]2x^2-3x+1[/tex] and width is (x - 2).

We have to find a expression for the area of a rectangle.

We know that,

Area of a rectangle = l * b

Where,

l represents the length of the rectangle

b represents the breadth of the rectangle

Hence, using the data given in the question, we can write,

Area of a rectangle = [tex](2x^2-3x+1)*(x-2)[/tex]

Area of a rectangle = [tex](2x^3)+(-4x^2)+(-3x^2)+(6x)+(-2)[/tex]

Area of a rectangle = [tex]2x^3-7x^2+6x-2[/tex]

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A zebra runs 600ft per 10 seconds, how many miles per hour does it run?

Answers

Answer: 40.91 mph

Step-by-step explanation:

600 ft/10 seconds=

600*6 ft/(10*6) seconds=

3600 ft/60 seconds=

3600 ft/1 minute =

3600*60 ft/(1*60) minute=

216000 ft/60 minutes=

216000 ft/hour=

(216000/5280) miles/hour= 40.91 mph

Graph the equation. Plot at least five points on the graph and label them with their
coordinates.

Answers

3. (-1,-2), (0,-1), (1,0), (2,1), and (3,2)

3. (0,0), (-1,2), (1,2), (-2,4), and (2,4)

6/7 x 2 2/14 please answer my question and tell me how to get the answer

Answers

Answer:

90/49

Step-by-step explanation:

you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer

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