Teacher's name Height with the heels Height without the heels
Ms. Mathey 190 cm 182.4 cm
Mrs. Meansy 162.5 cm 156 cm
Ms. Cool 140 cm 134.4 cm
Miss Petite cm 155.1 cm
Ms. Lora cm
159.8 cm

Answer: We need to add 40 ounces of water to the 100 oz of concentrated juice and water to obtain a new mixture that is 20% concentrated juice.

Step-by-step explanation:

We can begin by setting up an equation based on the given information.

Let's say we need to add x ounces of water to the 100 oz of concentrated juice and water to obtain the new 20% mixture.

The amount of pure juice in the original 100 oz mixture is 28% of 100 oz, which is 0.28(100) = 28 oz.

After x ounces of water are added, the total volume of the mixture becomes 100 + x oz. The amount of pure juice remains the same at 28 oz. We want to find the amount of water that needs to be added to reach a concentration of 20%.

Setting up the equation:

0.20(100 + x) = 28

Expanding and simplifying:

20 + 0.20x = 28

0.20x = 8

x = 40

Answer:

143

Step-by-step explanation:

100 oz is 28 % of the drink

So total volume of the drink = 357 oz.

A drink that of 100 oz juice and is 20% juice has a volume of 500 oz.

So, we need to add 500 - 357

= 143 oz water.

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of one angle of right-angle is 45°. Then the right triangle is an isosceles right-angle triangle.

Then the hypotenuse is given by the sine of angle 45°. Then the equation is given as,

sin 45° = 3√2 / H

1/√2 = 3√2 / H

H = 3√2 x (1 / √2)

H = 3 units

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

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Answer:

The sum of two numbers = 12

x+y=12

product of two numbers = 35

xy=35

The sum of reciprocals =  x

1

​

+

y

1

​

=

xy

x+y

​

=

35

12

​

Step-by-step explanation:

Answer: 10 and 14.

Step-by-step explanation:

Let the numbers be x and y.

Make and solve a system of equations:

[tex]\displaystyle\\\left \{ {{\frac{x+y}{2}=12\ \ \ \ (1) } \atop {\frac{1}{4}xy=35\ \ \ \ (2) }} \right. \\\\\\[/tex]

Multiply equation (1) by 2 and equation (2) by 4:

[tex]\displaystyle\\\left \{ {{x+y=24} \atop {xy=140}} \right. \\\\\\\left \{ {{x=24-y} \atop {(24-y)*y=140\right.\\\\\\\left \{ {{x=24-y} \atop {24y-y^2=140}} \right. \\\\\\\left \{ {{x=24-y} \atop {-y^2+24y-140=0\ \ \ \ (3)}} \right.[/tex]

Multiply equation (1) by (-1):

[tex]y^2-24x+140=0\\\\y^2-10x-14x+140=0\\\\y(y-10)-14(y-10)=0\\\\(y-10)(y-14)=0\\\\y-10=0\\\\y=10.\ \ \ \ \Rightarrow\\\\x=24-10\\\\x=14\\\\y-14=0\\\\y=14.\ \ \ \ \Rightarrow\\\\x=24-14\\\\x=10.[/tex]

Answer:

Step-by-step explanation:

$220.00x .15 = $187.00

Answer:

to find x;

cross multiply

x=5tan47°

x=5×(1.07236871002)

x=(5.36184355012)

to the nearest tenth

x=5.4

For the given figure, the surface area of box is 436.95m².

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighbouring sides.

The measurement of three-dimensional solids' surfaces the surfaces of three-dimensional solids, such as cubes, spheres, prisms, and pyramids, in

square or meter units, is known as Surface area.

Surface area of Square = side²

Surface area of Rectangle = Length x Breadth

Surface area of triangle = 1/2 × Base x Height

So,

Surface area of Square=

= 10² = 100m²

Surface area of Rectangle 1 =

= 11 x 9 = 99m²

Surface area of Rectangle 2 =

11 x 13.45 = 147.95m²

Surface area of Triangle =

= 1/2 x 10 x 9 = 45m²

So, Surface area of box = Surface area of Square + Surface area of

Rectangle 1+ Surface area of Rectangle 2 + Surface area of Triangle + Surface area of Triangle

= 100 + 99 + 147.95 + 45+  45

= 436.95m²

Therefore, Surface area of the box is 436.95m².

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Answer:

2.2325 seconds

Step-by-step explanation:

We know

It takes 8.93 seconds for a train to travel 4 yards.

How far does it take the train to travel 1 yard?

We take

8.93 divided by 4 = 2.2325 seconds

So, it takes the train 2.2325 seconds to travel 1 yard.

The amount of time it would take for Mr. Smith's rocket to return to the ground is 8 seconds.

Based on the information provided, we can logically deduce that the height (h) in meters, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + 128t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 128t

16t² = 128t

16t = 128

Time, t = 128/16

Time, t = 8 seconds.

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a) For a single roll of a standard six-sided dice, there are 6 possible outcomes.

b) Sample points for rolling a dice twice are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

a) If we want to find the number of sample points for multiple rolls of a dice, we use the counting rule for multiple-step experiments, which states that if an experiment consists of k steps and there are n1 possible outcomes for the first step, n2 possible outcomes for the second step, and so on, then the total number of possible outcomes for the experiment is:

n1 x n2 x ... x nk

For example, if we roll a dice twice, then there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll. Therefore, the total number of possible outcomes for rolling a dice twice is:

6 x 6 = 36

b) Here are the sample points for a single roll of a standard six-sided dice:

1, 2, 3, 4, 5, 6

Here are the sample points for rolling a dice twice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Each sample point consists of two values, representing the outcomes of the first and second rolls, respectively. The sample points are written in parentheses and separated by commas.

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Answer:

Step-by-step explanation:

The coefficient of variation (CV) is a measure of the relative variability of a set of data. It is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. The formula for calculating the CV is as follows:

CV = (Standard Deviation / Mean) * 100%

Here's how to calculate the CV step by step:

Calculate the mean: To find the mean, add up all the data points and divide by the number of data points. This will give you the average value of the data set.

Calculate the standard deviation: The standard deviation is a measure of the variability of a set of data. To calculate it, subtract each data point from the mean and square the result. Then add up the squared deviations and divide by the number of data points minus one. Finally, take the square root of the result to obtain the standard deviation.

Calculate the CV: Finally, divide the standard deviation by the mean and multiply by 100% to obtain the CV.

The CV is a useful measure when comparing data sets with different units of measurement or when comparing the variability of data sets with different means. It gives an indication of the degree of variation in the data set relative to the mean, with higher CV values indicating a higher degree of variability.

It is important to note that the CV should not be used to compare data sets with very different means, as it can be misleading in such cases. In those cases, it is better to use the standard deviation or other measures of variability.

In Single spaced pages 3000 words will be in 6 pages and in Double Spaced pages 3000 words will be in 12 pages.

3,000 words equates to approximately 6 single-spaced A4 pages and 12 double-spaced A4 pages. This assumes normal 1 - inch margins and standard fonts such as Times New Roman or Arial at 12 pt.

Adjusting certain settings in a text editor or using other layout software can greatly affect the appearance of your final text. Many journal articles are around 3,000 words in length, as are student essays and lengthy blog posts. You may also be interested in the fact that adults can read about 3,000 words in 10 minutes.

3000 words in Single spaced Pages:

3000 words is 6 pages. A standard single-spaced page contains 500 words.

3000 words in Double Spaced page:

3000 double spaced words make up 12 pages. Teachers may ask you to double-space your essay to make it easier to read and add comments/reviews. A standard double-spaced page contains 250 words.

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After the third year, the amount in his account would be -

A{3} = $(125x/64).

Interest is calculated as a percent of the principal.

Given is that Ling's savings account increases by {1/4}% every month from interest. He deposits {x} dollars into his account.

After the first year, the amount in his account would be -

A{1} = x + x/4 = (5x/4)

A{1} = $(5x/4)                                                ... Eq { 1 }

After the second year, the amount in his account would be -

A{2} = (5x/4) + (1/4)% of (5x/4)

A{2} = 5x/4 + 5x/16

A{2} = (1/4)(5x + 5x/4)

A{2} = (1/4)(25x/4)

A{2} = $(25x/16)                                         ... Eq { 2 }

After the third year, the amount in his account would be -

A{3} = (25x/16) + (1/4) of (25x/16)

A{3} = (25x/16) + (25x/64)

A{3} = (1/16)(25x + 25x/4)

A{3} = (1/16)(125x/4)

A{3} = $(125x/64)                                 ... Eq { 3 }

Therefore, after the third year, the amount in his account would be -

A{3} = $(125x/64).

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Answer:

Step-by-step explanation:

I'm sorry, but I'm having trouble understanding your question. Could you please clarify what you mean by "the cost of stamps depends on the number of slaves purchase because the cost why"? It's important to provide clear and accurate information in order for me to provide a helpful response. Thank you!

The total amount of the bill is $102.59625.

Percentage is defined as the parts of a number per fraction of 100 or a part per 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Amount of bill for a restaurant = $81.75

Percentage of sales tax = 7.5%

Amount of sales tax = 7.5% of $81.75

                                 = 7.5% × 81.75

                                 = 0.075 × 81.75

                                 = $6.13125

Percentage of gratuity = 18%

Amount of gratuity = 18% of $81.75

                               = 18% × 81.75

                               = 0.18 × 81.75

                               = $14.715

Total amount in the bill = $81.75 + $6.13125 + $14.715

                                       = $102.59625

Hence the total bill from the restaurant is $102.59625.

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The measure of the angle ∠1 and ∠3 is 90°

The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.

Since g and h are parallel lines cut by the transversal i, we know that alternate interior angles are congruent. Therefore, the measurement of ∠1 is equal to the measurement of ∠3. We do not need to show any work to answer this question.

Since g and h are parallel lines cut by the transversal j, we can see that ∠3 and ∠5 are corresponding angles, and ∠5 and ∠6 are vertical angles. Therefore, ∠3 and ∠6 are congruent. Since ∠3 and ∠6 forms a linear pair, their sum is 180 degrees. Thus, we can set up an equation:

∠3 + ∠6 = 180

Substituting ∠6 for ∠3, we get:

∠3 + ∠3 = 180

Simplifying, we get:

2∠3 = 180

Dividing both sides by 2, we get:

∠3 = 90°

Therefore, the measurement of ∠3 is 90 degrees.

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1000000000000000000000000000

Step-by-step explanation:

are u also MS hitsman?

The value of w is given by the proportion w = 8.333

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

14 / w = 8.4 / 5

Multiply by w on both sides of the equation , we get

w ( 8.4 / 5 ) = 14

Multiply by 5 on both sides of the equation , we get

8.4w = 70

Divide by 8.4 on both sides of the equation , we get

w = 70 / 8.4

w = 8.333

Hence , the equation is w = 8.333

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Answer:

If 5 centimeters on the map represent 75 kilometers in the real world, then we can use proportion to find the actual distance between the two lakes.

Let x be the actual distance between the two lakes in kilometers. Then we can set up the following proportion:

5 cm / 75 km = 8.1 cm / x km

To solve for x, we can cross-multiply:

5 cm * x km = 75 km * 8.1 cm

Simplifying:

5x = 607.5

x = 121.5 km

Therefore, the actual distance between the two lakes is 121.5 kilometers.

none of them

c cc c c c c c c c c c c c c c c c c

The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

The diagram is given below.

Given,

Perimeter of a rectangle = 2 (l + w), where l is the length and width.

Length of the rectangle = 4 + 3x

Width of rectangle = x + 6

Perimeter = 32 meters

Substituting,

2 (l + w) = 32

2(4 + 3x + x + 6) = 32

2(4x + 10) = 32

4x + 10 = 16

4x = 6

x = 6 / 4 = 3/2 = 1.5

Length = 4 + 3x = 8.5 meters

Width = x + 6 = 7.5 meters

Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.

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The lateral surface area of the triangular prism shown below is C.170 cm².

The concept that will be used here is triangular prism breakdown and calculation.

We can break down the triangular prism  so as to make it simpler as :

We have (2 triangles) as well as ( 2 side rectangles) and (1 back rectangle)

We can calculate the area of triangle  as ( ¹/₂ * base * height)

= (¹/₂ * 5 * 4)

=10cm

We can calculate the area of rectangle as ( length * width)

=(10 * 5)

=50

Then the Area of trapezoid = 2(10) + 3(50)

=20 + 150

= 170 cm²

Therefore, option C is correct.

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As a result of answering the question, we may state that triangle  Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

Since a triangle has four or so more sections, it is a polygon. It has an easy rectangular form. Triangle ABC refers to a rectangle with edges A, B, and C. A single plane and cube are produced by Euclidean geometry when the sides are really not collinear. A triangle is a polygon if it has 3 components and three angles. Where a triangle's three edges come together are known as the corners. A triangle's sides add up to 180 degrees.

A+B plus D > A (1)

Applying this to triangle ADC, we get the following:

A + C > A (2)

AC equals 27, CD equals 9, and BD equals 3. Equation (2) may be used to determine AD:

[tex]A + C > A\\27 + 9 > AD\\36 > AD[/tex]

So, we are aware that AD is lower than 36. We may now find AB using equation (1):

[tex]A+B plus D > A\\AB + 3 > AD\\AB + 3 > 36\\AB > 33[/tex]

Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

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Answer:

150-200

Step-by-step explanation:

Answer:

36in

Step-by-step explanation:

1ft = 12in

8ft = 96in 3ft = 36in

96*2 + 36*2 = 192 + 72 =264in

300-264=36

Answer:

No, because for each input there is not exactly one output

Step-by-step explanation:

Each input, x-coordinate, must have one and only one output (y-coordinate) to be a function.

Since 3/4 is used as an x-coordinate twice, the input 3/4 has two different outputs, -2 and -1/2. That means this relation is not a function.

Answer: No, because for each input there is not exactly one output

Answer: is A

Step-by-step explanation:

The difference between percent error and percent difference is that percent error is used to measure the accuracy of a predicted value compared to the actual value, while percent difference is used to compare two values to determine how much they differ from each other.

Percent error is calculated using the formula:
Percent error = (|actual value - predicted value| / actual value) x 100

Percent difference is calculated using the formula:
Percent difference = (|value 1 - value 2| / ((value 1 + value 2)/2)) x 100

In summary, percent error is used to measure the accuracy of a prediction or measurement, while percent difference is used to compare two values and determine how much they differ from each other.

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The area covered by paper flowers is; 45 square feet.

The formula for area of a rectangle is;

Area = Length * width

Parameters of the parade float are;

Length = 9 + x + 12 = (x + 21) ft

Width = (x + 5) ft

Since entire area is 192 sq.ft, then;

(x + 5)(x + 21) = 192

x² + 5x + 21x + 105 = 192

x² + 26x - 87 = 0

Using online quadratic equation calculator gives;

x = 3

Thus;

Length of paper flower = x + 12 = 3 + 12 = 15 ft

Width of paper flower = 3 ft

Area of paper flowers = 15 * 3 = 45 square feet.

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Answer:

We can use the Pythagorean theorem to solve this problem. Let's call the length of the incline plane "L". We know that the height of the shelving unit is 7 ft and the base of the incline plane is 11 ft. The hypotenuse of the right triangle formed by the incline plane, the floor, and the shelving unit will be the length of the incline plane. Using the Pythagorean theorem:

L^2 = 11^2 + 7^2

L^2 = 121 + 49

L^2 = 170

L = sqrt(170)

So the length of the incline plane is approximately 13.04 feet.

The correct statement regarding the functions in this problem is given as follows:

4. the absolute value and square root function share an x-intercept

The x-intercept of a function is given by the value of x at which the graph of the function crosses the x-axis, that is, when x = 0.

Both the square root function (yellow) and the absolute value function (red) cross the x-axis, hence the correct option is given by option 4.

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