a pool in the sape of a rectangle has a perimeter of 80 feet. the pool is 8 feet less wide than it is long. find the length and width of the pool

A geometric ray has one endpoint and extends from the endpoint to infinity in one direction on a line. Rays are written with a right-facing arrow over two capital letters. The first letter represents the endpoint, and the second letter represents another point on the ray.

hope this helps :)

Answer:

Step-by-step explanation:

Point r

Hello - let's do this step by step. Show your work.

You're asking: 9(8−x)=3x.

Now, simplify both sides of the equation.

9(8−x)=3x

(9)(8)+(9)(−x)=3x (To do that, distribute)

72+−9x=3x

−9x+72=3x

Now,  subtract 3x from both sides.

−9x+72−3x=3x−3x

Simplify,

−12x+72=0

After, subtract 72 from both sides.

−12x+72−72=0−72

−12x=−72

Last thing, divide both sides by -12.

-12x/12 = -72/-12

Divide.

Therefore, you have x = 6 as your final answer.

Hello there!

9(8-x)=3x

Use the Distributive Property to distribute 9:

72-9x=3x

Move all the variables to the left side. Be sure to use the opposite operation!

-9x-3x=-72

-12x=-72

Divide both sides by 12 in order to isolate x:

         x=6

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer: I believe the correct answer is A. Because 2/3 is negative so it belongs on the negative side of the number line. And 5/3 is positive so it belongs on the positive of the number line.

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Meagan pay 4.60

Step-by-step explanation:

1kg------5.80

700g----X

700x5.80=4.60/1=4.60

Final answer:

To find the cost of 700 grams of grapes, divide the cost of 1 kilogram by 1000 to get the price per gram, then multiply by 700. Meagan pays $4.06 for 700 grams of grapes.

Explanation:

To calculate how much Meagan pays for 700 grams of grapes when 1 kilogram (1000 grams) of grapes costs $5.80, we first find out the cost per gram. Then we multiply the cost per gram by the amount of grams Meagan is buying.

The cost per gram is: $5.80 / 1000 grams = $0.0058 per gram.

So for 700 grams, Meagan pays: $0.0058 per gram × 700 grams = $4.06.

Therefore, the cost of 700 grams of grapes is $4.06.

Answer:

Step-by-step explanation:

Lateral Area:

We have four congruent triangles with base b = 16cm and height h = 12cm.

The formula of an area of a traingle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_\triangle=\dfrac{(16)(12)}{2}=(8)(12)=96\ cm^2[/tex]

[tex]L.A.=4A_\triangle=4(96)=384\ cm^2[/tex]

Surface Area:

[tex]S.A.=B+L.A.[/tex]

In the base we have the square with side s = 16cm. The formula of an area of a square:

[tex]A_\square=s^2[/tex]

Substitute:

[tex]B=16^2=256\ cm^2[/tex]

[tex]S.A.=256\ cm^2+384\ cm^2=640\ cm^2[/tex]

Answer:

Week 1:  15

Week 2: 21

Step-by-step explanation:

5 x 3 = 15

7 x 3= 21

Answer: 14/4

Step-by-step explanation:

since 4/4 is one three would be 12/4. Adding 2/4 to 12/4 is 14/4. So the answer is 14/4

3 2/4 as a mixed number is 14/4

3 multiplied by 4 is 12 and you just add 2 to that and it'll be 14/4

The answer would be 186.2.

Answer:

The correct answer is  133% of 140  = 186.2

Step-by-step explanation:

Points to remember

X % of Y is given by

(X/100)*Y

To find 133 % of 140

We have to find 133 % of 140,

According to the formula we can write,

133% of 140 = (133/100) * 140

 = 1.33 * 140

 = 186.2

133% of 140 = 186.2

Therefore the correct answer is  133% of 140  = 186.2

Answer:

49.

Step-by-step explanation:

Answer:

24x^4- 12x^2  or 12x^2 (2x^2-1)

Step-by-step explanation:

We are given the length and width of the rectangle:

Length=l=4x^2

and

Width=w=6x^2-3

The formula for the area of rectangle is:

Area=length*width

Area=l*w

Putting the values of l and w into the formula:

area=(4x^2 )(6x^2-3)

=24x^(2+2)-12x^2

=24x^4- 12x^2

It can also be written as: taking 12x^2 as common:

=12x^2 (2x^2-1)

[tex]\(i^{223}\)[/tex] is equal to -i.

To find the value of [tex]\(i^{223}\)[/tex], we can use the cycle of powers of i:

[tex]\(i^1 = i\), \(i^2 = -1\), \(i^3 = -i\)[/tex], and [tex]\(i^4 = 1\)[/tex]

The powers of i repeat every four steps.

Therefore, we can express [tex]\(i^{223}\)[/tex] in terms of [tex]\(i^4\)[/tex]:

[tex]\[i^{223} = (i^4)^{55} \cdot i^3\][/tex]

Since [tex]\(i^4 = 1\)[/tex] and [tex]\(i^3 = -i\)[/tex], we have:

[tex]\[i^{223} = 1^{55} \cdot (-i) = -i\][/tex]

Answer:

A) C = 29*d + 0.15*m

B) C = $88.75

Step-by-step explanation:

Givens

Let the cost of the rental = C

Let the most of the daily rental = d

Let the cost of the mileage driven = m

Equation

Cost = 29*d + 0.15*m

C = 29*d + 0.15m

Part B

d = 2

m = 205

C = ?

C = 29*2 + 205*0.15

C = 58 + 30.75

C = $88.75

Answer:

5

Step-by-step explanation:

Put the numbers in order then find the middle number. 334677

Here there are two middle numbers, 4, and 6. Add 4 and 6 together, 10 then divide by 2, 5. So the median is 5! Hope this was helpful have a Great day!!!

Answer:

(-4, -12) (1, -2) (2, -18)

Step-by-step explanation:

We have a grade 3 polymial function.

We know that the function has a minimum at the point

(-3, -18).

If this is the minimum of the function then this means that when  [tex]x <-3[/tex]  the function is decreasing and when  [tex]x> -3[/tex]  the function is growing.

Look in the table for ordered pairs with values of x less than -3.

The only point is (-4, -12).

Then the function has a maximum in  ([tex]\frac{1}{3}[/tex], [tex]\frac{14}{27}[/tex])

This means that when  [tex]x> \frac{1}{3}[/tex]  the function is decreasing and when  [tex]x< \frac{1}{3}[/tex]  the function is growing.

Search the table for ordered pairs with values of x greater than [tex]\frac{1}{3}[/tex]

We have

(1, -2) (2, -18)

Finally the ordered pairs in which the function decreases are:

(-4, -12) (1, -2) (2, -18)

Observe the attached image.

Answer:

4 quarters and 20 nickels

Step-by-step explanation:

4 quarters= 1.00

4x5=20 nickels =1

1+1=2.00

Margie has 4 quarters and 20 nickels, which amounts to $2.00. The solution was found by setting up and solving a system of equations.

The question involves solving a system of equations to find out how many nickels and quarters Margie has if she has 5 times as many nickels as quarters and the total value is $2.00. Let's define two variables: n for the number of nickels and q for the number of quarters. Now, we have two equations based on the information provided:

Substitute the first equation into the second: 0.05(5q) + 0.25q = 2.00, which simplifies to 0.25q + 0.25q = 2.00, meaning that 0.50q = 2.00. Divide both sides by 0.50 to find that q = 4. Since q = 4, we substitute it back into the first equation to find that 5n = q gives us n = 4/5, which results in n = 20. Therefore, Margie has 4 quarters and 20 nickels.

Answer:

CD = 3

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

CB × CA = CD × CE , that is

4 × (4 + 6.5) = CD × 14

4 × 10.5 = 14CD

42 = 14CD ( divide both sides by 14 )

CD = 3

Answer:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

Step-by-step explanation:

Let's perform the indicated synthetic division:

3  )   -2   15   -22   -15

                6    63   123

   -----------------------------

        -2    21    41     108

We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

ANSWER

D. [tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

EXPLANATION

We perform the synthetic division to get:

-2 15 -22 -15

3| -6 27 15

-2 9 5 0

From the synthetic division problem;

The coefficient of the quotient are the first three numbers.

-2, 9, 5

The last number 0 is the remainder

Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.

Therefore the quotient is:

[tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

Answer:

c.

Step-by-step explanation:

The answer to your question is C

Answer:

The volume of each cube  = (side)^3  = (1/3)^3  = 1/27 cubic units

The number of cubes  that will fill the prism  =

Vol of prism            4

__________  =    _____  =    4 * 27   =   108 cubes

Vol of cube            (1/27)

Step-by-step explanation:

Approximately 108 cubes, each with side lengths of 1/3 unit, can fit into a rectangular prism that has a volume of 4 cubic units.

The subject of this question covers volume and dimension within 3D Geometry, particularly recognizing cubic units as a measure of volume. Given a rectangular prism with a volume of 4 cubic units, which is filled with cubes, each with side lengths of 1/3 unit, the idea is to understand how many smaller cubes would fit into the larger prism.

When calculating, we first need to figure out the volume of one small cube: (1/3)^3 = 1/27 cubic units. Then, you would divide the total volume of the rectangular prism by the volume of one of the small cubes: 4 divided by 1/27. This gives approximately 108, meaning around 108 cubes with a side length of 1/3 can fit into a rectangular prism with a volume of 4 cubic units.

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Answer:    6x-4

Step-by-step explanation:  The number 6 is multiplied by another variable so it would be written as 6x and then 4 is less than whatever 6x is so it would be 6x-4.

Answer:

B. 25

Step-by-step explanation:

10+6=16

if it is proportional, then it would be 25 to get 15.

Answer:

25

Step-by-step explanation:

y = kx

10 = 6k

5

3

= k

y =

5

3

(15)

y = 25

Step-by-step explanation:

[tex]\dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\\\\\dfrac{6}{8}=\dfrac{6\cdot2}{8\cdot2}=\dfrac{12}{16}\\\\\dfrac{6}{8}=\dfrac{6\cdot3}{8\cdot3}=\dfrac{18}{24}\\\\\dfrac{6}{8}=\dfrac{6\cdot4}{8\cdot4}=\dfrac{24}{32}\\\\\dfrac{6}{8}=\dfrac{6\cdot5}{8\cdot5}=\dfrac{30}{40}\\\vdots[/tex]

Answer:

[tex]4x^{3} y^{2} (\sqrt[3]{4 x y})[/tex]

Step-by-step explanation:

Another complex expression, let's simplify it step by step...

We'll start by re-writing 256 as 4^4

[tex]\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }[/tex]

Then we'll extract the 4 from the cubic root.  We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.

[tex]\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }[/tex]

Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.

[tex]4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }[/tex]

For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.

[tex]4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}[/tex]

The answer is then:

[tex]4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})[/tex]

It is:

Any number that is less than 3.5 is a solution

There are infinite number of solutions.

The  graph with a white colored dot

I hope I get brainly on both questions :)

Answer:

There is 1 way to vote for 0 people. There are 8 ways to vote for 1 person. There are 8⋅7/ 2 ways to vote for 2 people. There are 8⋅7⋅6 /2⋅3 ways to vote for 3 people. There are 8⋅7⋅6⋅5/ 2⋅3⋅4 ways to vote for 4 people. This is all because you can choose people but there are ways you can order the people.  

Does this help

Answer:

A = 15π in²

Step-by-step explanation:

If two of the central angles are 80° and 130°, totalling 210°, then the third central angle must be (360° - 210°), or 150°.

Let's calculate the area of the entire pizza, whose diameter is 12 in and whose radius is therefore 6 in:

A = πr²  →  A = π(6 in)²  =  36π in².

The area of the largest slice, the one with central angle 150°, is

(150/360) times the total area of the pizza:

A = (150/360)(36π) in², or 15π in²

Answer:

Negative infinity,12

Hope this helps you out!

Yes is going to be negative

Answer:

[tex]x=38.56[/tex]

Step-by-step explanation:

First, we'll solve for the missing angle.

The interior angles of a triangle add up to 180, so let's make an equation.

[tex]35+90+x=180 \\ \\ 125+x=180 \\ \\ x=55[/tex]

Now we can use the law of sines.

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]

Where the lowercases are the side lengths and the uppercases are the angle measures.

Plug in the values we know.

[tex]\frac{27}{sin(35)}=\frac{x}{sin(55)}[/tex]

Solve using a calculator.

[tex]x=38.55999618 \\ \\ x=38.56[/tex]

Answer:

see explanation

Step-by-step explanation:

The perimeter of a rectangle = 2l + 2w ( l is length and w is width )

given w = 63, then

2l + (2 × 63) = 324

2l + 126 = 324 ( subtract 126 from both sides )

2l = 198 ( divide both sides by 2 )

l = 99 m ← length of garden

-----------------------------------------------------------------

The area of a rectangle = lw ( l is length and w is width )

given l = 94, then

94w = 5828 ( divide both sides by 94 )

w = 62 cm ← width of window

A is the most common

are they supposed to look like 1x10^-20 lb?? that would make it easier for you to determine the answer

i hope this helps