Tank B is 60% full of water. It requires an additional 2800 litres of water to be full. How many litres of water fills tank B?​

Answer:

$21.25

Step-by-step explanation:

Multiplying 0.85 by 25 gives 21.25

Answer:

$ 100 + $ 60 y

Step-by-step explanation:

The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.

Let the total number of fillings is y.

The total cost of fillings = $ 60 x y =  $ 60 y

The total cost of the treatment = $ 100 + $ 60 y

Wanda Littlemore's utility function is U(x, y) = x + 46y− 2y2, the number of units of good x will Wanda demand is 9.

Demand is just a consumer's desire to purchase products and services without hesitation and pay the price for them. Simply said, demand is the amount of things that buyers are ready and willing to purchase at various prices over a certain time period.

The quantity of items selected by consumers is modestly determined by the cost of the commodity, the cost of other commodities, the customer's money, and his or her likes and predilection. Demand for a commodity is the quantity of a commodity that a customer is willing to buy, is able to manage and afford at the given pricing of products, and the customer's likes and preferences.

Unit(x, y) = x + 46y − 2y2

Utility is maximized when MUx/MUy = \(\partial\)x/\(\partial\)y = $1/$18 = 1/18

MUx = \(\partial\) U/\(\partial\)x = 1

MUy =  \(\partial\)U/\(\partial\)y = 46 - 4y

MUx/MUy = 1 / (46 - 4y) = 1/18

46 - 4y = 18

4y = 28

y = 7

Substituting in budget line: 135 = x + 18y,

135 = x + (18 x 7)

135 = x + 126

x = 9

Therefore, the number of units of good x will Wanda demand is 9.

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Answer:

3

Step-by-step explanation:

I hope this answer helpful

Answer:

7.03 if your rounding to the nearest tenth then its 7

Step-by-step explanation:

Answer:

7.036082474

Step-by-step explanation:

round it I guess to the place your supposed too

The equation will be written as (42/2) = 21.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the quotient of a number, 2, and 21 is 42. The equation of the quotient will be written as,

42 / 2 = 21

Here the value 42 when divided by 2 will give 21.

Therefore, the equation will be written as (42/2) = 21.

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The mass of the porcelain table top is approximately 4,608 grams. To calculate the mass of the porcelain table top, we need to find its volume and then multiply it by the density of porcelain.

The table top is in the shape of a rectangular prism with dimensions given as length = 12 inches, width = 12 inches, and height = 1.5 inches.

The volume of a rectangular prism is given by the formula: volume = length × width × height. Substituting the given values, we have volume = 12 inches × 12 inches × 1.5 inches.

To convert the volume from cubic inches to cubic centimeters, we use the conversion factor: 1 cubic inch = 16.3871 cubic centimeters.

So, the volume of the table top in cubic centimeters is calculated as follows:

volume = 12 inches × 12 inches × 1.5 inches × 16.3871 cubic centimeters/cubic inch.

Next, we multiply the volume by the density of porcelain, which is given as 2.4 grams per cubic centimeter.

mass = volume × density = (12 inches × 12 inches × 1.5 inches × 16.3871 cubic centimeters/cubic inch) × 2.4 grams/cubic centimeter.

Calculating this expression gives the mass of the table top as approximately 4,608 grams when rounded to the nearest gram.

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One example is that you're given blueprints and you want to find out how large the object is in real life, rather than just on paper. The scale factor will help find those real life measurements. Let's say a house on paper is 2 inches long, and also let's say the scale factor is labeled "1 inch = 20 feet". This means the real life house is 2*20 = 40 feet long.

You could think of it as 1 inch = 20 feet, so 2 inches = 40 feet (multiply both sides by 2).

Scale factors are also used in maps. Look at the bottom corner of any map and it will show you how each distance on paper corresponds to a real life distance (in miles or kilometers maybe). Usually it shows a checkered "ruler" of sorts.

Answer:

  everyday living

Step-by-step explanation:

Scale factors are involved in virtually every aspect of the logistics of everyday life. Scale factors of number of units, price per unit, and tax rate are applied to every shopping experience. Scale factors of miles per gallon, or daily rate, or number of travelers are applied to most travel experiences. Scale factors of number of people and/or serving size are applied to food planning--even when ordering pizza.

Scale factors are involved in virtually every aspect of engineering, from specifying or estimating a job, to scheduling, material choice, purchase, and application. Sometimes, these are "rules of thumb", and sometimes they are based on careful calculation.

Much of modern technology is based on the observation that computing power doubles every 2 years or so--a scale factor consistently seen for more than 50 years. This has informed systems planning in many different industries.

Answer:

I'm not sure sorry I hope you get help

Answer:

c

Step-by-step explanation:

Answer:

20.61952

Step-by-step explanation:

hope it helps

The solution is : cost of driving per mile is $0.42.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Given:

Luisa Díaz drove her vehicle about 7,200 miles last year.

Total fixed cost = $1,058.40

Total variable cost = $1965.60

Question asked:

How much did it cost per mile ?

Solution:

Total cost of driving 7200 miles = Total fixed cost + Total variable cost

                                                    = $1,058.40 + $1965.60

                                                    = $3024

By unitary method:

Cost of driving 7200 miles = $3024

Cost of driving 1 mile = $3024  7200

                                  = $0.42

Thus, cost of driving per mile is $0.42

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complete question:

Luisa Díaz drove her vehicle about 7,200 miles last year. Her fixed costs totaled $1,058.40 and her variable costs were $1965.60 how much did it cost per mile

To find which fractions are equal to each other, we must simplify or multiply to both denominator and numerator:

          \(\frac{2}{6} =\frac{1*2}{3*2} =\frac{1}{3}*\frac{2}{2}=\frac{1}{3}*1= \frac{1}{3} \\\\\frac{8}{1}=8\\ \\\frac{2}{4} =\frac{1*2}{2*2} =\frac{1}{2}*\frac{2}{2} =\frac{1}{2} *1= \frac{1}{2} =\frac{1}{2}*1 =\frac{1}{2}*\frac{4}{4} =\frac{1*4}{2*4}=\frac{4}{8} \\\\\frac{2}{8} =\frac{1*2}{4*2}=\frac{1}{4}*\frac{2}{2} =\frac{1}{4} *1 =\frac{1}{4} \\\\\frac{4}{4} =1\)

Hope that helps!

Answer:

2/6 = 1/3

8/1 = 8

2/4 = 4/8

2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

and 2/8 is 1/4

and 4/4 is just 1  

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Answer:

3q

Step-by-step explanation:

i think

Answer:

6< 3x

[where 3x = a number tripled]

The correct option is (i) is a correct statement but not (ii) or (iii).

The statement "The uniform probability distribution's standard deviation is proportional to the distribution's range" is false.

On the other hand, the statement "The uniform probability distribution is symmetric about the mode" and

"For a uniform probability distribution, the probability of any event is equal to 1/(b - a)" is true.

Therefore, the correct answer is (ii) and (iii) are correct statements but not (i).

Uniform distribution, also known as rectangular distribution, is a probability distribution that has equal probability of occurrence within a specified range.

The probability density function (PDF) of a uniform distribution is equal to the reciprocal of the range.

The range of the uniform distribution is (b - a).

The mean, mode, and median of a uniform distribution are all equal. The mode is defined as the mid-point of the range.

The uniform distribution is symmetric about its mode.

This indicates that the probability of an event on one side of the mode is the same as the probability of an event on the other side of the mode.

The variance of the uniform distribution is equal to (b - a)²/12, not proportional to the range.

The standard deviation is the square root of the variance.

Therefore, the standard deviation of the uniform distribution is proportional to the square root of the range.

This indicates that the standard deviation is proportional to the square root of (b - a), not the range itself.

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Answer:

yes it's rotated 180 degree angle

The maximum area of the rectangle inside the ellipse is 2ab.

Given that,

Ellipse = x2 / a2 + y2 / b2 = 1

we know the general coordinates of any point in an ellipse of the equation

x2 / a2 + y2 / b2 = 1 is (acosθ,bsinθ)

So, we take general vertices of rectangles as

(acosθ,bsinθ), (acosθ,-bsinθ), (-acosθ,bsinθ), and (-acosθ,-bsinθ)

So, we can see that length and breadth of the rectangle is 2acosθ and 2bsinθ

So, its area will be ab4sinθcosθ (Length x Breadth)

Applying trigonometric formula 2sinθcosθ=sin2θ, let area equals to A

Now A=2absin2θ

Now as the area is the maximum given in the question, we have to differentiate it with respect to θ

dA/dθ=2abcos2θ×2 (using dsin2θ / dθ=2cos2θ)

Equating dA / dθ=2abcos2θ×2=0, it means cos2θ=0 , which means 2θ =  π / 2 and θ=π / 4

So now we to put θ=π / 4 in the equation of area which is A=2absin2θ

We get as A=2absin2π / 4=2absinπ / 2=2ab

Hence the max area of the rectangle inside the ellipse is 2ab.

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Client will have improved oral hygiene practices, including regular brushing, flossing, and using mouthwash, resulting in healthier oral mucous membranes.

L. Directions: Choose the outcomes that are written correctly below. Identify what's wrong with the statements that are written incorrectly.

1. John will know the four basic food groups by I/14.

  - Incorrect: The date format is incorrect; it should be written as 1/14 instead of I/14.

2. Mry. Eipert will demoastrate how to use her walker unassisted by Saturday.

  - Incorrect: There is a spelling error in "Mry. Eipert"; it should be "Mrs. Eipert." Additionally, "demoastrate" should be "demonstrate."

3. Mr. McKillop will improve his appetite by 11/5.

  - Incorrect: The date format is incorrect; it should be written as 11/5 instead of 11/5.

4. Erica will list the equipment needed to change sterile dressings by 9/5.

  - Incorrect: The date format is incorrect; it should be written as 9/5 instead of 9/5.

5. Mrs. Baylis will understand the importance of maintaining a salt-free diet.

  - Correct: No issues found. The statement is written correctly.

6. Nurse will bathe client every day during hospitalization.

  - Correct: No issues found. The statement is written correctly.

IL. Directions: For each diagnosis or problem below, write an appropriate client goal and outcome.

1. Constipation related to insufficient roughage intake in the diet

  - Client Goal: Increase regular bowel movements and relieve constipation.

  - Outcome: Client will have a bowel movement at least once daily by incorporating high-fiber foods into the diet.

2. Altered oral mucous membranes related to poor oral hygiene

  - Client Goal: Improve oral health and maintain healthy mucous membranes.

  - Outcome: Client will have improved oral hygiene practices, including regular brushing, flossing, and using mouthwash, resulting in healthier oral mucous membranes.

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Answer:

\(k=-8\)

Step-by-step explanation:

We have the two points: (2, -3) and (k, 7).

And we want to find the value of k such that the slope between these two points is -1.

So, we can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let (2, -3) be (x₁, y₁) and let (k, 7) be (x₂, y₂). Let's also substitute the slope m for -1. This gives us:

\(-1=\frac{7-(-3)}{k-2}\)

So, let's solve for k. Add in the numerator:

\(-1=\frac{10}{k-2}\)

Notice that we can rewrite the left side as:

\(\frac{-1}{1}=\frac{10}{k-2}\)

Now, we can cross-multiply:

\(-(k-2)=10\)

Divide both sides by -1. This removes the negative on the left:

\(k-2=-10\)

Finally, add 2 to both sides. So, the value of k is:

\(k=-8\)

And we're done!

Answer:

£10, £30, £40

Step-by-step explanation:

Divide the share by the sum of the numbers in the ratio.

1 + 3 + 4 = 8

80 / 8 = 10

Multiply each number in the ratio by 10 to find the value of each share.

1 × 10 = 10

3 × 10 = 30

4 × 10 = 40

Answer:

Step-by-step explanation:

total ratio=1+3+4

=8

first part

1/8x 80euros=10euros

second part

3/8 x 80euros=3x10euros

=30euros

third part

4/8x80euros=4x 10 euros

=40euros

Answer:

x = 0

Step-by-step explanation:

3(x - 1) = 2x - 3 + 3x

3x - 3 = 2x - 3 + 3x

0 - 3 = 2x - 3

0 = 2x

2x = 0

x = 0 ÷ 2

x = 0

according to question The correct answer is (c) x1 = x + dx, y1 = y + dy, z1 = z + dz.

To translate a point (x, y, z) by an amount dx, dy, and dz, we need to add these amounts to the corresponding coordinates of the point. Therefore, the new translated point will have coordinates (x+dx, y+dy, z+dz), which is option (c).

Option (a) is incorrect because it is the original point without any translation.

Option (b) is incorrect because it specifies that the new point will have coordinates (dx, dy, dz), which is not correct.

Option (d) is incorrect because it specifies that we need to subtract the translation amounts from the original coordinates, which would actually give the opposite direction of the desired translation.

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Expectation = ($1 + $0.50 + $0.40) x $4.00 = $7.40

The expectation of winning amount if a person buys one ticket is $7.40. This can be calculated using the probability distribution below.

Lottery Prize:  | Probability: | Win Amount: | Probability x Win Amount:

$1000  |  1/1000  |  $1000  |  1/1000 x $1000 = $1

$500  |  1/1000  |  $500  |  1/1000 x $500 = $0.50

$50   |  2/1000  |  $50   |  2/1000 x $50 = $0.40

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\(-4x-4y = 24~~...(i)\\\\3x +10 = y~~....(ii)\\\\\text{Substitute}~ y = 3x +10~ \text{in eq (i):}\\\\-4x -4(3x+10) = 24\\\\\implies -4x -12x -40=24\\\\\implies -16x =24+40\\\\\implies -16x = 64\\\\\implies x =- \dfrac{64}{16}\\\\\implies x = -4\\\\\text{Substitute}~ x = -4 ~ \text{in equation (ii) to find y:} \\\\y=3(-4) +10 = -12 +10 = -2\\\\\text{Hence,}~(x,y) = (-4,-2)\)

Answer:

what are the letters and numbers by the trapezoid i need them to solve it

Step-by-step explanation:

Answer:

answer 21 m2

Step-by-step explanation:

Area of a trapezoid

side a

5

parallel a,b

side b

9

height h

3

22 digit

area S

21    

Answer:

Step-by-step explanation:

\(\frac{\sqrt[3]{7}\sqrt{7} }{\sqrt[6]{7^{5} } } \\\\=\frac{7^{\frac{1}{3}+\frac{1}{2}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\sqrt[6]{7^5}}\\\\=\frac{7^{\frac{5}{6}}}{\left(7^5\right)^{\frac{1}{6}}}\\\\=\sqrt[6]{\frac{7^5}{7^5}}\\\\=\sqrt[6]{1}\\\\=1\)

The slope of the line passing through (1, 4) and (3, 2) is -1. Therefore, the simplified slope of item number 1 is -1,so the correct option is (b).

The slope of a line, which measures how steep it is, is calculated by dividing the change in the y-axis (vertical direction) by the change in the x-axis (horizontal direction) between any two points on the line.

Now, we shall solve the question by  two-point formula method:-

1. (1, 4) and (3,2)

Slope = (y2 - y1) / (x2 - x1) = (2 - 4) / (3 - 1) = -2/2 = -1

2. (2,5) and (4,-7)

Slope = (y2 - y1) / (x2 - x1) = (-7 - 5) / (4 - 2) = -12/2 = -6

Therefore, the slope of the line passing through (2,5) and (4,-7) is -6.

3. (-5, 3) and (2,7)

Slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (2 - (-5)) = 4/7

Therefore, the slope of the line passing through (-5, 3) and (2,7) is 4/7.

4. (3,-4) and (-2, 8)

Slope = (y2 - y1) / (x2 - x1) = (8 - (-4)) / (-2 - 3) = 12/(-5) = -2.4

Therefore, the slope of the line passing through (3,-4) and (-2, 8) is -2.4.

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Answer:

do it yourself kid.

Step-by-step explanation:

Answer:_18

replace _4 instead of x

-5*-4=_20

_20+2=_18

Step-by-step explanation: