A rectangular pool is twice as
long as it is wide. What are the
dimensions of the pool if the
perimeter is 48 yd?

Answers

Answer 1

Step-by-step explanation:

L=2B

P=2(L+B)

48=2(2B+B)

48=2(3B)

48=6B

B=8yd

L=2*8

=16yd

Answer 2

Answer:

length * width = 16 yd * 8 yd

or

length = 16 yd

width = 8 yd

Step-by-step explanation:

take the rectangular pool to have sides a (length) and 2a (width).

we are told that the length is as twice as its width, therefore,

Perimeter is given by (a + 2a) × 2 = 48 yd

Divide both sides by 2 ⇒ [tex]\frac{((a + 2a) * 2)}{2} = \frac{48 yd}{2}[/tex] ⇒ a + 2a = 24 yd

⇒3a = 24 yd

Divide both sides by 3 ⇒ [tex]\frac{3a}{3} = \frac{24 yd}{3}[/tex] ⇒ a = 8 yd

therefore, the width of the pool is 8 yd and its length is 16 yd (Twice as long as it is wide)


Related Questions

classify the following numbers as rational or irrational. √23​

Answers

Answer:

Irrational

Step-by-step explanation:

Unless a radical solves out to be a whole number, rads are irrational.

Answer:

√23 is an Irrational Number

Step-by-step explanation:

√23 = 4.79 is not a pefect square so its an irrational number

Name two lines in the diagram.
B.
S
A
D
E
line A
line B
BC
point a

Answers

Answer:

Options (3) and (6)

Step-by-step explanation:

"A straight line is a set of all points between two points and extending beyond these points."

Therefore, from the given diagram,

Arrows connecting set of two points B and C and D and E will be straight lines.

Geometrically we denote them with an arrow over the line.

[tex]\overleftrightarrow {BC}[/tex] and [tex]\overleftrightarrow {DE}[/tex]

Therefore, Options (3) and (6) will be the answer.

Fund x+y+z+ shown in the following figure​

Answers

Answer:

60°, 100° and 120°

Step-by-step explanation:

The angles x, y and z all lie on straight lines adjacent to other angles, thus

x = 180° - 120° = 60°

y = 180° - 80° = 100°

z = 180° - 60° = 120°

Given the graph of the function f below, estimate the intervals in which fis
increasing.

Answers

Answer:

  (-∞, -5/2) ∪ (1, ∞)

Step-by-step explanation:

"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.

It is increasing again from the local minimum on the right to the right side of the graph.

The two sections where the graph is increasing are ...

  (-∞, -5/2) ∪ (1, ∞)

__

The graph is decreasing between the maximum on the left and the minimum on the right.

solve for x 9 ( x + 1 ) = 25 + x

Answers

Answer: x=2

Step-by-step explanation:

Given

9(x+1)=25+x

Distributive property

9x+9=25+x

Subtract x on both sides

9x+9-x=25+x-x

8x+9=25

Subtract 9 on both sides

8x+9-9=25-9

8x=16

Divide 8 on both sides

8/8 x=16/8

x=2

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = 2

Step-by-step explanation:

big brain/took test

The parabola y=x^2 is shifted down 2 units and is reflected. What is the new parabola?

Answers

Answer:

y = x² - 2

Step-by-step explanation:

Quadratic Parent Function: y = a(bx + h)² + k

k = vertical movement up/down

Since we are only dealing with a vertical shift down, we are only modifying variable k

k = -2

y = x²

y = x² - 2

What is the value of x: -7x = -2x + 15​

Answers

Answer:

-3

Step-by-step explanation:

-7x=-2x+15

collect like terms

-7x+2x=15

-5x=15

divide both sides by -5

x=15/-5

x=-3

X= -3
Explanation: add 2x to both sides of equation. -7x+2x = -2x+15+2x which ends up equaling -5x=15 then divide both sides by -5. -5x=15 |
-5 -5 | which gets you -3 after dividing

What is the mean medium and mode of $0.99,$0.99,$1.49,$1.49,$1.49,$1.99,$1.99,and$2.49

Answers

Mean: $1.615

Median: $1.49

Mode: $1.49

What is the solution to 7x + 6y if y = 10 and x = 2?

Answers

Answer: First we will substitute the numbers in place of the variables in the equation, and then we will use order of operations to solve.

7x + 6y would be equal to:

7(2) + 6(10)

Now we will perform the multiplication:

7 * 2 = 14

6 * 10 = 60

The equation now looks like:

14 + 60

This is equal to 74. Your answer is therefore 74.

Hi there! Hopefully this helps!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer: 74

First we need to evaluate the variables into the expression.

7x + 6y = 7(2) + 6(10).

6 x 10 = 60

7 x 2 = 14.

60 + 14 = 74

89, 74, 100, 86, 74, 67, 86, 72, 60, 93, 83, 86 what is the median?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{84.5}}}}}[/tex]

Step-by-step explanation:

Given data :

89 , 74 , 100 , 86 , 74 , 67 , 86 , 72 , 60 , 93 , 83 , 86

Arranging the data in ascending order, we have,

60 , 67 , 72 , 74 , 74 ,83 , 86 , 86 , 86 , 89 , 93 , 100

Here, n ( total no.of observation ) = 12

Now, finding the position of media :

[tex] \boxed{ \sf{position \: of \: median = ( \frac{n + 1}{2} ) ^{th} \: item}}[/tex]

⇒[tex] \sf{ (\frac{12 + 1}{2} ) ^{th} item}[/tex]

⇒[tex] \sf{( \frac{13}{2} ) ^{th} item}[/tex]

⇒[tex] \sf{ {6.5}^{th} item}[/tex]

6.5 th item is the average of 6 th and 7 th items.

Again,

[tex] \sf{median = \frac{ {6}^{th \: item} + {7}^{th} item}{2} }[/tex]

⇒[tex] \sf{ \frac{83 + 86}{2} }[/tex]

⇒[tex] \sf{ \frac{169}{2} }[/tex]

⇒[tex] \sf{84.5}[/tex]

Hope I helped!

Best regards!!

(5x²-2)*(5x²+2)

Thank you​

Answers

25x4+10x2-10x2-4= 25x2-4

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{25 {x}^{4} - 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5 {x}^{2} - 2)(5 {x}^{2} + 2)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

[tex] \dashrightarrow{ \sf{5 {x}^{2} (5 {x}^{2} + 2) - 2(5 {x}^{2} + 2)}}[/tex]

[tex] \dashrightarrow{ \sf{25 {x}^{4} + 10 {x}^{2} - 10 {x}^{2} - 4}}[/tex]

Since two opposites add up to zero , remove them from the expression

[tex] \dashrightarrow{ \sf{25 {x}^{4} - 4}}[/tex]

Hope I helped!

Best regards! :D

Using the diagram at right, name the angle pair relationships of the
angle pairs listed below
1. D and e
2. E and h
3. A and e
D c and d

Answers

Answer/Step-by-step explanation:

Relationship of angle pairs considering the given diagram are as follows:

1. <d and <e are alternate interior angles. They are opposite inner sides of the transversal.

2. <e and <h are vertically opposite angles. They share the same vertex (corner) formed by the two line that crossed.

3. <a and <e are corresponding angles. They occupy the same position as a line crosses the other two lines together.

4. <c and <d are a linear pair. They are angles on a straight line and are supplementary.

The relationships between the angle pairs are:

1. Angle d and angle e are alternate interior angles.

2. Angle e and angle h are vertically opposite angles.

3. Angle a and angle e are corresponding angles.

4. Angle c and angle d form a linear pair.

The relationships between the angle pairs in the given diagram can be described as follows:

1. Angle d and angle e are alternate interior angles.

They are located on opposite sides of the transversal and inside the pair of lines.

2. Angle e and angle h are vertically opposite angles.

They are formed at the same vertex (corner) where the two intersecting lines meet.

3. Angle a and angle e are corresponding angles.

They are positioned in the same relative location as a line intersects the other two lines simultaneously.

4. Angle c and angle d form a linear pair.

They are adjacent angles on a straight line and add up to 180 degrees, making them supplementary.

Learn more about Parallel line here:

https://brainly.com/question/29762825

#SPJ6

Which graph shows the linear inequality y < 2x – 4?

Answers

Answer:

Graph the line  

y = 2 x − 4

After you have plotted the line, shade in the area to right of the line.

To help you to graph the line, two points are  

( 0 , − 4 )  and  ( 2, 0 )

Remember to make it a dashed line to indicate that it is not included.

Here is a how it should look:

is -55.505 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

Any number that can be written in p/q from is a rational number

20) Round each number to the nearest hundreds place.
a) 345.983
b) 1283.75
c) 9980.32
d) 1111.111
e) 689.4

Answers

Answer:

Step-by-step explanation:

X X X X . X X X

   ^ this is the hundreds place

X X X X . X X X

                   ^ this is the hundredths place

a) 300 Because the place behind it is less than 5.

b) 1300 The place in the tens is 5 or greater.

c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.

d) 1,100

e) 700

3. Is this relation a function? (-1,5) (-3, 6) (-2, 9) (5, 11) (-3, 6) (4, 11) (0, 10)​

Answers

Answer:

Yes, it is.

Step-by-step explanation:

A function is a relation between two sets of elements, where each valid input can be mapped to exactly one output.

Indeed, the relation in this question is between two sets of elements. Each of these pairs includes exactly two elements: the input and the output.

On the other hand, does this relation maps each valid input to exactly one output? Arrange these pairs by the input in increasing order:

Input: [tex]-3[/tex]; Output: [tex]6[/tex].Input: [tex]-3[/tex]; Output: [tex]6[/tex].Input: [tex]-2[/tex]; Output: [tex]9[/tex].Input: [tex]-1[/tex]; Output: [tex]5[/tex].Input: [tex]0[/tex]; Output: [tex]10[/tex].Input: [tex]4[/tex]; Output: [tex]11[/tex].Input: [tex]5[/tex]; Output: [tex]11[/tex].

Indeed, the input [tex]-3[/tex] appeared twice in the list. However, in both occurrence, this input mapped to the same output, [tex]6[/tex]. This relation is still a function.

Multiply (3x)(x2 + 4x - 15).

(3 x3 + 12 x2 - 45 )
3 x + 12 x - 45 x3)
(4 x3 + 3 x + 12 x2 - 15 )
(3 x4 + 12 x3 - 45 )

Answers

Answer:

3x^3 + 12x^2 - 45x

Step-by-step explanation:

Multiply 3x with x^2 then 4x and then -15 in order

3x × x^2 = 3x^3

3x × 4x = 12x^2

3x × (-15) = -45x now add the expressions

3x^3 + 12x^2 - 45x

10.36 less than the product of 42 and x
please i need help

Answers

Answer:

so the problem is saying 42x-10.36 so it's just saying take 10.36 away from 42 multiplied by X

Step-by-step explanation:

Solve the proportion. I will give brainliest.
2/7=r/4

Answers

Answer:

Cross multiply:

2 * 4 = 7 * r

Simplifying

2 * 4 = 7 * r

Multiply 2 * 4

8 = 7 * r

Solving

8 = 7r

Hope this helps.

|3x+1|=-5
How do I do this step by step

Answers

The answer is -2, the steps are in the picture.
The answer is -2 because |3x+|+-5=-2

A grocery clerk changes the display of oranges regularly. If the pattern indicated
below is continued, determine the number of oranges that will be displayed on
the 8th figure. Use a table to find the pattern.

Answers

Answer:

36

Step-by-step explanation:

F1 = 1

F2 = 1 + 2

F3 = 1 + 2 + 3

--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:

F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2

So, 8th figure has:

F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36

Jada wanted to construct a line perpendicular to line e
through point C. The diagram shows her construction.
What was her mistake?

Answers

Answer:

Here the mistake is that she drew a circle from the point A to intersect the line rather the drawing arcs from the point C

The next another circle was drawn from the point of the intersection of the first circle and the intersection of both circles was used to draw the perpendicular at the midpoint of the intersection of both circles.

Step-by-step explanation:

To construct a line perpendicular to another line through a point the following steps are required

1) From the point, with the compass, C draw  to intersect the line at points A and B

2) From A and B with the compass made wider, draw arcs above and below the line to intersect each other

3) With the straight edge Draw a line passing through the intersections of the arcs drawn from A and B and extend the line to pass through the point C

The line constructed above is the perpendicular to the line l passing through the point C.

Christina goes to the market with $25. She buys one papaya for $4 and has the rest of the money for bananas. Each banana costs $0.55. Write an inequality for the number of bananas she can purchase.

Answers

Answer:

0.55x+4<=25

Step-by-step explanation:

It would be 0.55x because x is the number of bananas and 0.55 is the cost and the 4 represents the $4 she spent for a papaya. The 25 is the amount of money she has so it says less than or equal to because she only has so much money.

A car rental agency charges a fee of $35 per day plus $.20 for each mile driven. How much will it cost to rent the car for 4 days and drive 730 miles? Your answer should include a $ and two decimal places, in the format $10.00

Answers

Answer:

$271.00. Remember to put it in the right format

Step-by-step explanation:

So since its 35 dollars per day, we can first do 35*4 to get 140. So just for having the car, it costs 125 dollars.

Now to find the amount of money for the miles, we can do 730*0.20=146

Now we add those two amounts so we do 125+146=271.

So $271.00

area & perimeter help!

Answers

Answer:

40ft

Step-by-step explanation:

√100=10

10*4=40ft

Answer:

The correct answer is 40 feet.

Step-by-step explanation:

We know that the area of the square is 100 square feet.  We also know that we can find the area of the square using the formula A = s^2, where s represents the side length of the square.

A = s^2

If we plug in the value for the area that we are given, we get:

100 = s^2

To find the side length, we take the square root of both sides.

10 = s

To find the perimeter of a square, we should add up four times the side length (since there are 4 equal sides to a square).

Thus, the perimeter of a square is given by:

P = 4s = 4(10) = 40 feet

Therefore, the correct answer is 40 feet.

Hope this helps!

11(n-1)+35=3n what is the answer ​

Answers

Answer:

n = -3

Step-by-step explanation:

Original Equation:

11 (n-1) + 35 = 3n

Distributive Property:

11n + 24 = 3n

Subtract 24 from both sides:

11n + 24 - 24 = 3n - 24

Simplify:

11n = 3n - 24

Subtract 3n from both sides:

11n - 3n = 3n - 24 - 3n

Simplify:

8n = -24

Divide both sides by 8:

[tex] \frac{8n}{8} = \frac{ - 24}{8} [/tex]

Simplify:

n = -3

Answer:

n=-3

Step-by-step explanation:

Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if
necessary.

X^2 = 5

Answers

Answer:

The answer is

[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]

Step-by-step explanation:

x² - 5 = 0

Using the quadratic formula

That's

[tex] x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Solve the equation

From the question

a = 1 , b = 0 , c = 5

So we have

[tex]x = \frac{ - - 0\pm \sqrt{ {0}^{2} - 4(1)( - 5)} }{2(1)} \\ x = \frac{\pm \sqrt{20} }{2} \\ x = \frac{\pm2 \sqrt{5} }{2} \\ x = \pm \sqrt{5} \: \: \: [/tex]

We have the final answer as

[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]

Hope this helps you

More help please I really appreciate the people that has been helping also !

Answers

Answer:

8- b=79

9- b=23

10- b=67

8.)

[tex]37 = n - 42[/tex]

Add 42 to both sides of the equal sign to isolate the variable (n).

[tex]79 = n[/tex]

9.)

[tex]b + 62 = 85[/tex]

Subtract 62 from both sides of the equal sign to isolate the variable (b).

[tex]b = 23[/tex]

10.)

[tex]92 = 25 + l[/tex]

Subtract 25 from both sides of the equal sign to isolate the variable (l).

[tex]67 = l[/tex]

1. 5 x 6 – 12 ÷ 3 order of operations

Answers

Answer:

26

Step-by-step explanation:

First, using PEMDAS, do Multiplication, and division. (30 - 4)

Next, suptract to get your answer.

Answer:

26

Step-by-step explanation:

No P(emdas)

No e(Pemdas)

Multiplication (5 x 6)

5x6=30

Division (12/3)

12/3=4

No addition

Subtraction (30)-(4)

30-4=26

What is the result if you divide 18r⁴s⁵t⁶/ ⁻3r²st³

Answers

The correct answer should be as follows:
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