Aless and Louis are going to put a rectangular pool in their backyard. The cost of installation is $6,000. If the dimensions of the pool are 30 meters by 20 meters by 2 meters, what is the cost of the installation of their pool per cubic meter?

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x  = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

Answer:

x ≈ 4.3

Step-by-step explanation:

Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:

4(8x - 3) - 30x = 5(x - 5)

32x - 12 - 30x = 5x - 25

Add like terms (32x and -30x), like so:

32x - 30x = 2x

2x - 12 = 5x - 25

Subtract 2x from both sides:

2x - 12 = 5x - 25

-2x         -2x

____________

-12 = 3x - 25

Add 25 to both sides:

-12 = 3x - 25

+ 25       + 25

____________

13 = 3x

Divide both sides by 3:

4.3 ≈ x

Answer:

$1306.50

Step-by-step explanation:

1200(1 + tax) = total price -->

1200(1.08875) = total price -->

1306.5 = total price

Answer:

9

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

x^2=5^2+12^2

x^2=25+144

x^2=169

x=13

Answer:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Step-by-step explanation:

For this case the partial presure of carbon dioxide is given by:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Answer:

[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]

Step-by-step explanation

The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]

Answer:

-5  ± sqrt(73))  

 ----------------------------

       4

Step-by-step explanation:

2x^2 +5x =6

Subtract 6 from each side

2x^2 +5x -6 =0

This is in the form

ax^2 +bx+c  where a=2  b=5 and c=-6

The quadratic is -b ± sqrt(b^2 -4ac)  

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

                                         2a

-5  ± sqrt(5^2 -4(2)(-6))  

 ----------------------------

       2(2)

-5  ±sqrt(25 +48))  

 ----------------------------

       4

-5  ± sqrt(73))  

 ----------------------------

       4

Answer:

the = symbol

Step-by-step explanation:

there are 16 oz in a pound

Answer:

This symbol:    :

Step-by-step explanation:

The ratio symbol or a colon, :

pound : ounces

    1      :     16

Answer:

The 9th term is 17179869184

Step-by-step explanation:

Here we have that;

The divisors of 1 = 1 which is 1 less than 1*2

The sum of the divisors of 2 = 1 + 2  = 3 which is 1 less than 2*2

The sum of the divisors of 4 = 1 + 2 + 4 which is 1 less than 4*2

The sum of the divisors of 8 = 1 + 2 + 4 + 8 which is 1 less than 8*2

The sum of the divisors of 32 = 1 + 2 + 4 + 8 + 16 + 32 which is 1 less than 32*2

The sum of the divisors of 256 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 which is 1 less than

The next numbers are therefore,

32 × 256 = 8192

256 × 8192 = 2097152 and the 9th term is therefore;

8192 × 2097152 = 17179869184.

Answer:

what chart

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Firstly, to answer this question, we need to calculate the change in elevation.

Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.

To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.

Mathematically that would be 4,418 - 2,550 = 1,868 meters

Now our answer need be in foot. we have a conversion system given in the question already.

1 foot = 0.3048 meters

x foot = 1,868 meters

x = 1,868/0.3048

x = 6,128.6 feet which is approximately 6,129 feet

Answer:

x = 29

Step-by-step explanation:

Answer:

y=5/3x

Step-by-step explanation:

The equation can be used to represent y = (5/3)x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.

Since the water continues to flow at the same rate.

Using represent the number of gallons, y, that flow through the faucet in x

In 3 minutes, 5 gallons of water come out of a faucet.

So the equation can be used to represent y = (5/3)x

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Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Answer:

18.75 cubic yards

Step-by-step explanation:

Multiply the length width and height by each other.

50 x 1.5 x 0.25 = 18.75

Answer:

18.75 yards³

Step-by-step explanation:

To solve this, we can solve for the volume of the rectangular prism by using the formula: [tex]V= l*w*h[/tex]

We can plug in the values, giving us:

V= 50×1.5×0.25= 18.75 yards³

Answer:

x=6,1

I hope it helps :)

Answer:

A box of 144 chocolate bars for 72 dollar.

Then each chocolate bar costs: 144/72 = 2 dollar

=> Price up to 50%: P = 2 x (1 + 50/100) = 2 x 3/2 = 3 dollar

Hope this helps!

:)

Answer:

Step-by-step explanation:

We solve this using a proportion.

[tex]\frac{10.5}{5} = \frac{x}{7}[/tex]

10.5 x 7 = 73.5

5x = 73.5

x = 14.7

Now let's check the proportion.

[tex]\frac{10.5}{5} = \frac{14.7}{7}[/tex]

10.5 x 7 = 73.5

14.7 x 5 = 73.5

73.5 = 73.5 ✅

I'm always happy to help :)

Answer:

Step-by-step explanation:

2600(1+0.043/12)^6(1+0.137/12)^7

Answer:

The slope is again 1

Step-by-step explanation:

Because x1 and x2 is 5 and 8, and y1 and y2 are 5 and 8, the slope equation becomes 5-8 / 5-8, which would turn into -3 /-3, or 1.

:)

Answer: 1

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise over run between any two points that are on that line.

So for the line you see here, we will use the two points that are given.

Starting at the point (5,5), we will rise 3 units and run 3 units

in order to get to our second point, (8, 8).

This means that the slope or rise over run is 3/3.

However, 3/3 can be reduced to 1.

So the slope of this line is 1.

Answer:

3.5 cm

Step-by-step explanation:

Perimeter of rectangle = 2 × (w + h)

w = width

h = height

We have: 2 x (w + 6) = 19

w + 6 = 19 : 2 = 9.5

w = 9.5 - 6 = 3.5 (cm)

Answer:

x=3

Step-by-step explanation:

7x-18=x

Subtract 7x from each side

7x -18-7x = x-7x

-18 = -6x

divide each side by -6

-18/-6 = -6x/-6

3 =x

Answer: 0.182

Step-by-step explanation:

For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:

p1 = 5/(6 + 5) = 5/11

In the second selection we have the same equation, but now we have  4 milk chocolate bars (because one is alredy taken)

p2 = 4/(4 + 6) = 4/10

the joint probability is:

P = p1*p2 = (5/11)*(4/10) = 0.182

Answer:

x is 31.5°

Step-by-step explanation:

Here, we have each interior angle of a regular octagon = 135°

Each interior angle of a regular pentagon = 108°

Therefore, 135° + 108° + ∡B = 360°

Hence, ∡B = 360° - (135° + 108°) = 117°

Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))

Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB  from which we have;

∡x + ∡CFB + 117° = 180°

∴  ∡x + ∡CFB = 180° - 117° = 63°

Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives

2·∡x = 63°

Hence, ∡x = 63°/2 = 31.5°

∡x = 31.5°.

Answer:

1725 ft²

Step-by-step explanation:

[tex]\frac{50+65}{2} *30[/tex] = [tex]\frac{115}{2} *30= 57.5*30 = 1725[/tex]

Answer:

1,950 ft

Step-by-step explanation:

it is a compound shape, thus it is made up of a square and a triangle

you can find the area of the square by 30 x 50 and the area of the triangle by 30 as the height and 65 - 50 as the base, and when you add it together you get 1,950

Answer:

920 ft^2

Step-by-step explanation:

area of triangles: base x height / 2 (2)

8 x 15 / 2

= 60 x 2

= 120

area of rectangular base: length x width

15 x 20 = 300

area of sloped rectangle: length x width

17 x 20 = 340

area of rectangle: length x width

8 x 20 = 160

Total: 120 + 300 + 340 + 160

=920 ft^2

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920

Answer:

x2+10x+24

Step-by-step explanation:

The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]

To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:

(x - 4)(x - 6)

Step 1: Multiply x from the first parentheses by both terms in the second parentheses:

[tex]x * x = x^2\\x * -6 = -6x[/tex]

Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:

-4 * x = -4x

-4 * -6 = 24

Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]

Combine like terms: [tex]x^2 - 10x + 24[/tex]

So, the expanded expression in standard form is:

[tex]x^2 - 10x + 24[/tex]

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Answer:

(6x^4+7)(6x^4-7)

Step-by-step explan  

Answer:

The common factor is 1

(6x^4+7) (6x^4-7)

Step-by-step explanation:

Answer: R = 37.5 miles per gallon.

Step-by-step explanation:

Sandras truck need one gallon to drive 25 miles, then the rate of Sandra's truck is 25 miles per gallon.

Her sister's car can travel 12.5 more miles with one gallon, so the car travels

25mi + 12.5mi = 37.5 miles with one gallon, the rate is

R = 37.5 miles per gallon.

Now, with that number you can multiply the amount of gallons that you have and you will obtain the total amount of miles that you can travel with that amount of gallons.

Answer:

a:) combination

b:) permutation

c:) combination

Step-by-step explanation:

There are 330 ways the coach can select a batting order of seven players from an 11 person team. Therefore, option B is the correct answer.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:

nCr = n! / r!(n-r)!

where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.

So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:

11C₇ = 11! / (7!(11-7)!)

= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)

= 330

Therefore, option B is the correct answer.

To learn more about combination here:

brainly.com/question/17196495.

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