A rectangular pool measures 5 yd by 6 yd. A concrete deck of uniform width is constructed around the pool. The deck and pool together cover an area of 72. How wide is the deck?

Answer:Find out the expressions for the number of sweets sue and tony have now .

To proof

As given

Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets

thus

sue sweets = 18 - x

Tony sweets = 18 + x

As given

Sue then eats 5 sweets. Tony then eats half of his sweets

sue sweets becomes = 18 -5 -x

                                   = 13 - x

Hence proved

Step-by-step explanation:

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

[tex]V_A = Length * Base * Height[/tex]

Where

[tex]Length \to a[/tex]

[tex]Base \to b[/tex]

[tex]Height \to h[/tex]

So:

[tex]V_A = abh[/tex]

For Prism B, we have:

[tex]Volume = Base\ Area * Height[/tex]

Where

[tex]Base\ Area = Length * Base[/tex]

and

[tex]Length = a[/tex]

[tex]Base = b[/tex]

So:

[tex]Base\ Area = a * b[/tex]

[tex]Base\ Area = a b[/tex]

The volume is then calculated as:

[tex]Volume = Base\ Area * Height[/tex]

[tex]V_B = ab * Height[/tex]

Where

[tex]Height \to h[/tex]

So:

[tex]V_B = ab * h[/tex]

[tex]V_B = abh[/tex]

By comparison:

[tex]V_A = V_B = abh[/tex]

Step-by-step explanation:

it's a 1/4 sjjsjsjsjsjsj

Answer:

C

Step-by-step explanation:

Answer:

It is weak

Step-by-step explanation:

It is weak, so that means the answer is C. It is weak because it is

Answer:

Vertical

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

(6, 0 )

Step-by-step explanation:

A translation to the left means subtract 2 from the x- coordinate

A translation down means subtract 4 from the y- coordinate

Then

(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )

Answer:

<RSQ and <WVX

Step-by-step explanation:

suplementary angles are 2 angles who's measures add to 180

Answer: 16

Step-by-step explanation:

Answer:

It should be 16

Step-by-step explanation:at the you would take the 8 because that tells you half the length of the side then at the bottom there is also the other half of the line

Answer:

Step-by-step explanation:

3). Adjacent

B). Cosine

Respuesta:

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 10.062 pesos

Explicación paso a paso:

Costo inicial de televisión = 15,480 pesos

Porcentaje de descuento = 35%

Cantidad descontada = 35% de 15,480

Cantidad descontada = 0.35 * 15,480

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 15.480 - 5.418

Nuevo precio de la televisión = 10.062 pesos

Step-by-step explanation:

Given :-

And we need to solve the equation using Substituting method . So on taking the first equation ,

[tex]\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y [/tex]

Put this value in (ii) :-

[tex]\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6 [/tex]

Put this Value in (I) :-

[tex]\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21 [/tex]

Hence the Value of x is 21 and y is (-6) .

Answer:

x = -3

y = 2

Step-by-step explanation:

Ok this is a long one but bear with me lol, i promise i will make it easy to understand, performing one step at a time.

So we are given 2 equations right? We can take any of these one equation and isolate any one variable, either x or y, I will take the first equation and isolate x from it cuz it's the easiest way;

=> x + 3y = 3

=> x = -3y + 3 (Let's pretend this is not an equation for x but a "value")

Now that we have the x isolated from first equation, we can substitute x "value" in for the x in second equation. To solve for y;

=> 3y - 2 (-3y + 3) = 12

=> 3y + 6y - 6 = 12

=> 9y - 6 = 12

=> 9y = 12 + 6

=> 9y = 18

=> y = 18/9

=> y = 2

At this point we are almost done with the question! So since we got a real value for one of our variable (which in this case is y-value), we can substitute that in any of the given equation, We can also use the equation where in we isolated "x", so I'll use that cuz it's gonna require less steps, to find the real x-value:

=> The equation we found out up there is: x = -3y + 3

=> Now just simply substitute the y-value we figured in the equation above:

=> x = -3y + 3

=> x = -3(2) + 3

=> x = -6 + 3

=> x = -3

Ayee we did it lol so the final answer would be:

x = -3

y = 2

I really hope this made sense, and that it helps!

Answer:

[tex]a) 3.6011*10^4 \ \\ b) 8.289786223^-11[/tex]

Step-by-step explanation:

Well, I hope it helps you heh

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

Add my discord if you need more help Snapple#0141

A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

A boat traveled 448 miles downstream and back.

The trip downstream took 14 hours. The trip back took 16 hours.

[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Speed of downstream

448/ 14= 32

Speed of back stream

448 / 16= 28

B = Speed of boat in the water

Y = Speed of current

The system of equation

B + y = 32

B - y = 28

32 + 28 =60

60 / 2 = 30

So,

32 - 30 =2

B = 30  

Y = 2

Learn more about motion in stream here:

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#SPJ2

Answer: 158.26cm³

Step-by-step explanation:

First, we.need to calculate the volume of the cylinder and this will be:

Volume = πr²h

Volume = 3.14 × 3² × 8

Volume = 3.14 × 9 × 8

Volume = 226.08cm³

Since the jar is 70% full, the volume will be:

= 70% × 226.08cm³

= 0.7 × 226.08cm³

= 158.26cm³

Note:

Radius = Diameter/2 = 6cm/2 = 3cm

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

Answer:

7/8.

Step-by-step explanation:

What you need to do, is that you need to add 2/4 to 3/8. And then you get, 7/8!

Answer: 7/8

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

What you know

This is an equilateral triangle

the x's are all the same

you could write x + x + x = 3x = 16

Multiplying is just adding repeatedly

Answer:16 = 3x

Step-by-step explanation:

Perimeter = Sides surrounding a figure

The triangle has 3 sides, each named "x".

Thus, because the perimeter is equivalent to 16 inches, 3x = 16.

The perimeter of the square of side 5 cm  is 20 cm

The perimeter of a square is calculated with the formula:

Perimeter = 4 * length of side

length of the side = 5 cm

Perimeter = 4 * 5 cm

Perimeter = 20 cm

Therefore, the perimeter of the square is 20 cm

Learn more about perimeter of a square at: https://brainly.com/question/1385742

By definition of perimeter, the correct answer is option C. the perimeter of the square is 20 cm.

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

So, the perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure. So to calculate the perimeter of a figure it is necessary to know two basic variables:

A square is a flat geometric figure that has four equal sides, so the expression to calculate the perimeter of a square is:

Perimeter= 4× length of the sides

In this case, a square has a side length of 5 cm. So, the perimeter of the square is calculated as:

Perimeter= 4× 5 cm

Solving:

Perimeter= 20 cm

Finally, the correct answer is option C. the perimeter of the square is 20 cm.

Learn more about the perimeter:

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Answer:

Area is 40

perimeter is 26

Step-by-step explanation:

area = l×w

[tex]8 \times 5 = 40[/tex]

Perimeter = 2L +2W

[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]

Answer:

14x - 9x = 5x

Step-by-step explanation:

8x + 6 = 14x

6x + 3 = 9x

Answer:

L = a √( 4 + 2√2)

Step-by-step explanation:

L = a √( 4 + 2√2) is the equation which can be used to calculate the length of each side of the octagon. In the equation i.e. L = a √( 4 + 2√2), in which ''a'' is the length of each side of the octagon. So by putting of ''a'' we get the length of each side of the octagon. The octagon is regular means all of its sides and angles are congruent or similar to each other. Each angle in the octagon has a measure of 135 degrees.

well we know the line will be equal to 180 degrees so we will have an equation like this

x+100+3x=120

we subtract 100 from 180 to get 80.

180-100=80

however x cannot be 80 bc we still have the 3x.

when you do the math, you will see that 20 times 3 is 60.

20×3=60

going even further we see that 60 plus 20 is 80

60+20=80

so to check our work, lets solve this equation

20+100+3×20=180

20+100=120

3×20=60

120+60=180

so your answer is x=20

Answer:

33 is the answer

Answer:

w= 8

Step-by-step explanation:

180-90= 90

(5w + 1) + (7w- 7) = 90

solve

w= 8

Answer:He works 40 hours each week at a rate of $16 per hour.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

[tex]A. \ \ 1.3527 \times10^6[/tex]

Step-by-step explanation: