A rectangular swimming pool has a length of 11 feet, a width of 18 feet and a depth of 5 feet. Round your answers to the nearest hundredth as needed.

(a) How many cubic feet of water can the pool hold?
cubic feet

(b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this?
cubic feet

(c) One cubic foot of water is approximately 7.48 gallons. How many gallons of water should you put in the pool at 95% capacity?
gallons

(d) A gallon of water weighs approximately 8.35 pounds. How many pounds of water are in the pool at 95% capacity?
pounds

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

From the given:

$18 ——→ 1 home

$90 ——→ x home

Cross multiply the above and make x the subject of formula.

[tex]18x = 90[/tex]

Now, divide both sides by 18 to find the value of x.

[tex] \frac{18x}{18} = \frac{90}{18} [/tex]

Therefore:

Tim made $90 from cleaning 5 homes.

Answer:

y=54

Step-by-step explanation:

The coordinates of the vertices after a reflection over the line x = -1 are

A’ = (-12, 3).

B' = (-1, -7)

C' = (-12, -6)

Given that the coordinates of the vertices after a reflection over the line

x = -1.

For reflection about a vertical axis (x = -1), we need only be concerned with the x-components of the vertices.

Given any point (x, y), the new x’ value would be the distance ‘d’ from the reflection axis (x -(-1)), then inverted for reflection about the axis of reflection x = -1… x’ = -1 -d… where d = (x - (-1)) = (x + 1)

x’ = -1 -(x + 1) = -x -2

Given a point  from the graph as

A = (-10, -7), A’ = (-10-2 , -7) = (-12, 3).

B = (-1, -7), B’ = (-1, -7) = (-1, -7). (since on the same line.)

C = (-10, -6), C’ = (-10-2, -6) = (-12, -6).

This reflection works for vertices on either side of the reflection axis, such as if you have a triangle with some vertices on one side, and some on the other, straddling the axis.

The coordinates of the vertices after a reflection over the line x = -1 are

A’ = (-12, 3).

B' = (-1, -7)

C' = (-12, -6)

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Answer: 6

Step-by-step explanation: 6 goes into 12 twice with none left over, and 6 goes into 18 3 times with none left over.

Answer:

Step-by-step explanation:

If the cost of 40 books is ₹ 360, how much will 30 books cost?

we can solve with an equation

40 : 360 = 30 : x

x = 360 * 30 : 40

x = 270 £

or

we find the price of a book and multiply it by 30

360 : 40 * 30 =

9 * 30 =

270 £

The probability that none of the 5 were rated mature is 0.4308.

The probability that at least 1 of the 5 was rated mature is 0.5692.

Based on the information given, it should be noted that this is a binomial distribution.

n = 5

p = 0.155

q = 1 - p = 0.845

The probability that none of the 5 were rated mature will be:

= 5C0 (0.845)^5(0.155)^0

= 0.4308

The probability that at least 1 of the 5 was rated mature will be:

= 1 - 0.4308

= 0.5692.

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For the given median 27.5, the missing value of the sequence is 32.

The middle value in a collection of numbers is known as the median. The numbers must first be sorted, or ordered, in value order from lowest to highest or highest to lowest in order to find the median value in a series of integers.

Given the values are -

Let the given value = x

5, 12, 23, 41, 51, x

The median of number is sum of 2 middles numbers divided by 2

median = (3 term + 4 term) / 2

27.5 = (23 + x) / 2

55 - 23 = x

x = 32

The missing value for the given sequence is 32.

The complete sequence is -

5, 12, 23, 32, 41, 51

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The 8th term of the given geometric sequence is -163840;

Given sequence 10, -40, 160,..... is a geometric progression;

Here, a = 10; r = -4;

The nth term of a geometric progression is given by aₙ = a(rⁿ⁻¹);

Therefore;

a₈ = 10(-4)⁸⁻¹ = 10(-4)⁷ = -163840;

A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying each preceding term by a fixed number, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

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55580.5 to 2 significant figures is 56,000.

The given figure is  55,580.5 where:

To round to 2 significant figures, we would round off to the nearest thousand. This is because ten thousand is the second digit in the figure.

To round off to 2  significant figures, if the hundred digit is equal or greater than 5, add one to the thousand digit and all the other digits after the thousand digit would become zero. If the hundred digit is less than 5, no number is added to the thousand digit and all the other digits after the thousand digit would become zero.

55580.5 becomes 56,000

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Answer:

I don't understand what you're trying to ask?

Step-by-step explanation:

Answer:

B. x=5±√3

Step-by-step explanation:

Let's solve your equation step-by-step.

(x−5)²=3

Step 1: Simplify both sides of the equation.

x²−10x+25=3

Step 2: Subtract 3 from both sides.

x²−10x+25−3=3−3

x²−10x+22=0

For this equation: a=1, b=-10, c=22

1x²+−10x+22=0

Step 3: Use quadratic formula with a=1, b=-10, c=22.

x=−b±√b²−4ac/2a

x=−(−10)±√(−10)²−4(1)(22)/2(1)

x=10±√12/2

x=5+√3 or x=5−√3

We have been provided with this exponential equation y=   13√x + 13√[tex]x^{7}[/tex]

The product rule for solving the exponential powers is [tex]x^{n}[/tex] × [tex]x^{m}[/tex]= [tex]x^{n+m}[/tex]

, which means if the base is same and the variables are multiplied then the powers of the bases get added.

By using the product rule in the given exponential problem, it can be written as:

y = 13 √x ×√[tex]x^{7}[/tex]

y =13 √[tex]x^{1+7}[/tex]

y =13 √[tex]x^{8}[/tex]

Roots means the power of the base is half

y =13 [tex]x^{4}[/tex]  

Correct question is Use the product rule to simplify the following expression

y= 13√x + 13√[tex]x^{7}[/tex]

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The equation y = 3/5x + 3 can be plotted to represent the graph of -3x + 5y = 15

The equation of the plot is given as

-3x + 5y = 15

Divide through the equation of the plot by 5

So, we have

-3/5x + y = 3

Add 3/5x to both sides of the equation

So, we have

y = 3/5x + 3

The above means that the equation y = 3/5x + 3 can be plotted to represent the graph of -3x + 5y = 15

Hence, the equation y = 3/5x + 3 can be plotted to represent the graph of -3x + 5y = 15

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Answer:

4 cm

Step-by-step explanation:

14 - 10 = 4

4cm

Step-by-step explanation:

10-14=4 hope it helps

Answer:

3x = 54 !

Step-by-step explanation:

3x = (72 - x)

Solve for x.

x = 18

Plug it in.

3(18) = 54 degrees

Hope this helps! Xx

Answer:

Step-by-step explanation:

[tex]6\leq n+3\frac{1}{4}[/tex]

Solution:

[tex]n+\frac{13}{4} \geq 6[/tex]
[tex]n\geq 6-\frac{13}{4}[/tex]

[tex]n\geq \frac{24}{4} -\frac{13}{4}[/tex]

[tex]n\geq \frac{11}{4}[/tex]

Hope this helps

The inequality mentioned in the sentence is [tex]6\leq n +3\frac{1}{4}[/tex].

In mathematics, an inequality depicts the connection between two non-equal values in an algebraic expression. Inequality signs can indicate that one of the two variables is larger than, greater than or equal to, less than, or smaller than or equal to another value.

According to the given, question, Six is less than or equal to the total of n + 3 1/4. So, inequality is solved as follows:-

[tex]6\leq n +3\frac{1}{4}\\n +13/4\geq 6\\n\geq 6-13/4\\n\geq 24/4-13/4\\n\geq 11/4[/tex]

Therefore, the sentence's mentioned inequality is [tex]6\leq n +3\frac{1}{4}[/tex] and solution to the equation is [tex]n\geq 11/4[/tex].

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Answer:

D. 2,500 square feet

Step-by-step explanation:

That means 8 has been subtracted from the original amount to get at the new one

Answer:

1.32

Step-by-step explanation:

 4.53

- 3.21

= 1.32

Answer:

4.53 - 3.21 = 1.32

Hope this helps :)

Step-by-step explanation:

1.32 + 3.21 = 4.53 ✓

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.

On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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Answer:

just plot it nicely

Step-by-step explanation:

hope this help

The amount of money in dollars I can save by using the lower-price vendor is 6750 dollars.

A percentage is a value per hundredth.

Brand A offers a list price of $400 per dozen for microwavable serving bowls and I want to order 500 dozen.

∴ The listed price I have to pay is (500×400) = 200000 dollars.

Given brand A offers a 35% of trade discount, So the actual price I have to pay is 65% of the listed price which is,

= (65/100)×200000 dollars.

= 130000 dollars for 500 dozens.

Similarly, brand B has a list price of $425 for a dozen and offers a 42% trade discount, So the price of 500 dozen microwavable serving bowels for the trade will be,

= (58/100)(425×500) dollars.

= 123250 dollars.

∴ The amount of money I will save is the lower the 6750 dollars.price vendor is

= (130000 - 123250) dollars.

= 6750 dollars.

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The solution of the sum of one and two divided by twenty is 1.05.

It is required to find the solution.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

According to given question we have,

Add the first and the last number i.e. 1+20=21

Now, divide the number by 20 i.e.

=21/20=1.05

Therefore, the solution of the sum of one and two divided by twenty is 1.05.

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m is the average number of miles which is 4.3 miles

Total miles Genesis travel in a week is 42.8 miles.

Here we have to find m which is the average number of miles she would travel.

She ride for 6 more days and had already traveled 5 miles.

From the above question, we have an equation

5 + 6m = 42.8

6m = 37.8

m = 6.3

Therefore m is 6.3 which is the average number of miles Genesis will ride to meet her goal.

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1. The completion of the schedule of Harris Company's total costs and costs per unit is as follows:

                                               Units Produced and Sold

                                      60,000        80,000          100,000

Total costs:

Variable costs           $138,000     $184,000      $230,000

Fixed costs                 340,000      340,000        340,000

Total costs               $478,000    $524,000      $570,000

Cost per unit:

Variable cost                $2.30            $2.30            $2.30

Fixed cost                    $5.67             $4.25            $3.40

Total cost per unit       $7.97            $6.55             $5.70

2. The contribution-format income statement of Harris Company for the year is as follows:

Harris Company

For the year

Sales Revenue               $889,200

Cost of goods sold          207,000

Contribution margin      $682,200

Fixed costs                      340,000

Net income                   $342,200

                                               Units Produced and Sold

                                      60,000        80,000          100,000

Total costs:

Variable costs           $138,000     $184,000      $230,000

Fixed costs                 340,000      340,000        340,000

Total costs               $478,000    $524,000      $570,000

Cost per unit:

Variable cost                $2.30            $2.30            $2.30

Fixed cost                    $5.67             $4.25            $3.40

Total cost per unit       $7.97            $6.55             $5.70

Sales revenue = $899,200 ($9.88 x 90,000)

Cost of goods sold = $207,000 ($2.30 x 90,000)

Thus, based on a production and sales unit of 90,000 at $9.88 per unit, the net income for the year, using the contribution format, is $342,200.

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                                               Units Produced and Sold

                                      60,000        80,000          100,000

Total costs:

Variable costs           $138,000

Fixed costs                 340,000

Total costs               $478,000

Cost per unit:

Variable cost                $

Fixed cost                     $

Total cost per unit       $