The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

Any value that may be expressed as a fraction of 100 is referred to as a percentage in mathematics. The acronyms "pct.," "pct," or "pc" are also occasionally used. However, the "%" symbol is usually used to signify it. The proportional amount has no dimensions and is flat. Percentages can be viewed as fractions because their numerator is 100. To indicate that a number is a percentage, the percent symbol (%) must be used after the number.

Here,

Every day, Leilani consumes a total of 70 ounces of water. This implies that she consumes a total of 70 ounces of liquid every day before and after the ride.

She downs 14 ounces of water before her morning ride to be hydrated.

We would divide the quantity she drinks prior to the bike by the entire amount of water she consumes each day, then multiply the result by 100 to get the percentage of her daily water intake that she has before the ride. It develops

=> 14/70 × 100 = 20%\s=> 20

Thus, 20 equals 100 ounces of water in total.

As a result, the answer to the given 20-ounce problem is that there are 100 ounces of water in all.

Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

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Answer:

total distance = 654.5

Total gas used = 27.5

Distance per gallon = 654.5 ÷ 27.5 = 23.8

We drove 23.8 miles for each gallon of gas

The value of x is 26.5, found using the property of intersecting chords in a circle and the Pythagorean theorem.

To find the value of x, we can use the property that states that if two chords intersect in a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.

In this case, we can draw radii from O to points P and S, and label their lengths as 19. Then, we can label the segments of chords FG and RS as follows:

                     Let a = FG and b = GP

                      Let c = RS and d = SP

Since OP is a radius of the circle, we know that a + b = 19. Similarly, since OS is a radius of the circle, we know that c + d = 19.

Using the property mentioned above, we can write:

                      a * b = c * d

Substituting the given values, we get:

                   25 * (19 - b) = 28 * (19 - d)

Expanding and simplifying, we get:

                      475 - 25b = 532 - 28d

Substituting a + b = 19 and c + d = 19, we get:

                 b = 19 - a and d = 19 - c

Substituting these values, we get:

                 25a - 25(19 - a) = 28c - 28(19 - c)

Simplifying, we get:

                    53a - 475 = 28c - 532

Rearranging, we get:

                       53a - 28c = -57

We also know that a + c = 25 + 28 = 53.

We can solve these two equations simultaneously to find the values of a and c:

                        a = 13.8

                        c = 39.2

Therefore, the length of the segment RS is 39.2, and the length of the segment RP19S is 58.2.

Using the Pythagorean theorem, we can find the length of the segment OP:

                  (OP)²= (RP19S)² - (19)²

                  (OP)² = (58.2)² - (19)²

                  (OP)² = 3136.24

                        OP = 56

Finally, we can find x using the fact that the chords FG and RS are parallel:

                           x = (1/2) * (FG + RS)

                           x = (1/2) * (25 + 28)

                           x = 26.5 (rounded to the nearest tenth)

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This problem is related to the concept of continuous compounding, which is a method of calculating the interest earned on an account over a certain period of time. The formula for calculating the principal amount for a continuously compounded account earning 3.9% for 15 years is as follows:

P = A/ (1 + r)^t

Where P is the principal, A is the balance after 15 years, r is the rate of interest and t is the number of years.

In this problem, P = $4,768,549.11, A = $2,656,586.66, r = 3.9% and t = 15.

Therefore, the principal for the continuously compounded account earning 3.9% for 15 years is $4,768,549.11

The gambler wins 1 with probability 18/38 or loses 1 with probability 20/38 on each bet. Let X be the amount of the gambler's profit and losses after playing the game 15 times. For the gambler to win a total of 5 before he or she quits, the gambler must win 10 times and lose 5 times.

Thus the probability that the gambler wins exactly 10 times out of 15 is given by the binomial distribution as follows: $$P(X = 10) = \binom \({15}{10}(18/38)^{10}(20/38)^{5}$$\) .

Therefore, the probability that the gambler plays exactly 15 times before winning a total of 5 is equal to the probability that the gambler wins exactly 10 times,

i.e.,$$P(\text {play 15 times}) = P(X = 10)$$$$P(\text \(= P(X = 10)$$$$P(\text\) {play 15 times}) \(= \ binom{15}{10}(18/38)^{10}(20/38)^{5}$$$$P(\text{play 15 times}) \approx 0.174$$\)Thus, the probability that the gambler plays exactly 15 times is approximately 0.174.

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The answer is g(f(x)) =(x+6)(x+2)

From the question, we have

f(x) = x + 3 and g(x) = x² + 2x - 3

g(f(x)) = g(x + 3)

=(x + 3)² + 2(x + 3) - 3

=x² + 9+6x+2x+6-3

=x² + 8x+12

=x² + 6x+2x+12

=(x+6)(x+2)

The answer is g(f(x)) =(x+6)(x+2)

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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The statement is True. Multidimensional scaling positions objects in a perceptual space based on their similarities or dissimilarities.

The statement is True. Multidimensional scaling (MDS) does address the general problem of positioning objects in a perceptual space. MDS is a statistical technique used to analyze and visualize the similarities or dissimilarities between a set of objects.

It aims to represent the relationships between objects in a lower-dimensional space, often referred to as a perceptual or psychological space, based on their similarities or dissimilarities. This allows for the visualization and interpretation of complex data in a simplified manner.

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Answer:

6

Step-by-step explanation:

Answer:

There are 6 portions.

Step-by-step explanation:

Simply divide 3/4 / 1/8 which equals 6

We are given the values of sine and cosine for two angles, θ and φ, and we need to evaluate the expression sin(θ + φ). θ is in Quadrant I, and its sine is 8/17. Sin(θ + φ) evaluates to 22√5/85.

φ is in Quadrant II, and its cosine is -√5/5. To evaluate sin(θ + φ), we can use the trigonometric identity sin(θ + φ) = sin θ cos φ + cos θ sin φ. By substituting the given values, we can find the result.

Using the given values, we have sin(θ) = 8/17 and cos(φ) = -√5/5. To evaluate sin(θ + φ), we can use the trigonometric identity:

sin(θ + φ) = sin θ cos φ + cos θ sin φ.

Substituting the given values, we get:

sin(θ + φ) = (8/17) * (-√5/5) + (cos(θ) * sin(φ)).

Since θ is in Quadrant I, its cosine is positive, and sin(φ) is also positive because φ is in Quadrant II. We can calculate cos(θ) as follows:

cos(θ) = √(1 - sin²(θ)) = √(1 - (8/17)²) = √(1 - 64/289) = √(225/289) = 15/17.

Substituting the values, we have:

sin(θ + φ) = (8/17) * (-√5/5) + (15/17) * (sin(φ)).

Now we need to find sin(φ). Since cos(φ) = -√5/5, we can use the Pythagorean identity sin²(φ) = 1 - cos²(φ) to find sin(φ):

sin(φ) = √(1 - cos²(φ)) = √(1 - (-√5/5)²) = √(1 - 5/25) = √(20/25) = √(4/5) = 2/√5 = 2√5/5.

Substituting the value of sin(φ), we get:

sin(θ + φ) = (8/17) * (-√5/5) + (15/17) * (2√5/5).

Simplifying further:

sin(θ + φ) = (-8√5/85) + (30√5/85) = 22√5/85.

Therefore, sin(θ + φ) evaluates to 22√5/85.

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Answer: LMC= 36

Step-by-step

Lcm is were u find how much they can go into each other for example

4: 12 3 4 5 6 7 8 9 = 36

9: 1 2 3 4 = 36

3: 1 2 3 4 5 6 7 89 10 11 12 = 36

2: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 = 36

Answer:

28.26658805 (I included every digit in case your teacher needs you to round)

Step-by-step explanation:

In order to find x, we need to isolate x by subtracting 15^2 and taking the square root of both sides.

Thus, we have:

\(15^2+x^2=32^2\\x^2=32^2-15^2\\\sqrt{x^2} =\sqrt{(32^2-15^2)} \\\sqrt{x^2}=\sqrt{799} \\x=28.26658805\)

The coordinate of P is ( 14/5, 23/5, 28/5)

For the line AB, the direction vectors are

l= 2-1= 1, m=3-1= 2 and n= 4-2= 2

so, the equation of the line AB can be given by

\(  \text{$\frac{x-1}{1}$ = $\frac{y-1}{2}$ = $\frac{z-2}{2}$ } \)

let a point be P (x,y,z). lying on the line AB.

coordinate of the general point in AB can be given by

\(  \text{$\frac{x-1}{1}$ = $\frac{y-1}{2}$ = $\frac{z-2}{2}$ = t } \)

so, x= t+1, y= 2t+1, z= 2t+2

so, P (x,y,z) can be P (t+1, 2t+1, 2t+2). Another point is C ( 4, 2, 2 ).

the direction ratios of the line CP is

l1= t+1-4 = t-3

m1= 2t+1-2 = 2t-1

n1 = 2t+2-2 = 2t

Dot product of the direction ratios of two orthogonal lines are 0.

so, 1(t-3)+2(2t-1)+2(2t)=0

or, t=9/5

so, x= (9/5)+1 = 14/5

     y= (9/5)*2 + 1= 23/5

     z= (9/5)*2 + 2 = 28/5

so, the coordinate of P is ( 14/5, 23/5, 28/5).

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Answer:

x = 11

Step-by-step explanation:

Let's have  one of the numbers be represented by the variable, x,  and the other number be represented with the variable, y

Since the sum of the two numbers is 55, we can write the following equation:

x + y = 55

Then since one number is 4 times as large as the other, we can write:  y = 4x

We can now substitute this expression for y into the second equation and solve by

combining like terms and using inverse operations to solve for x:

x + y = 55

x + 4x  = 55

5x = 55

5x/5 = 55/5

x = 11

One of the numbers is 11.

Since the sum of the numbers is 55, the other number will be 44.

Answer:

11 and 44

Step-by-step explanation:

→ Write 2 equations

x + y = 55

y = 4x

→ Substitute bottom equation into top

x + 4x = 55

→ Solve

x = 11

→ Find y

4 × 11 = 44

Therefore, the cat food will feed Sally's 3 cats for 16 days.

A fraction is a way of representing a part of a whole or a ratio between two numbers. It is written as a numerical quantity represented as a numerator and a denominator separated by a horizontal line or slash. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts in the whole or in the group being considered.

Here,

Each cat eats 1/4 of a tin of cat food per day, so the total amount of cat food needed per day for all 3 cats is:

3 x 1/4 = 3/4

This means that Sally needs 3/4 of a tin of cat food per day to feed all 3 cats. If she buys 12 tins of cat food, this will last:

12 / (3/4) = 12 x 4/3

= 16 days

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Answer:

\( {x}^{2} + 12x - 28 = 0\)

\((x + 14)(x - 2) = 0\)

x = -14, 2

Step-by-step explanation:

x 2+12x−28=0

(�+14)(�−2)=0

(x+14)(x−2)=0

x = -14, 2

Answer:

Below

Step-by-step explanation:

= a (a^2- 9a + 14) = 0

= a (a-7)(a-2) = 0      shows 'a' can be 0 , 7 or 2

Answer:

The complete and simplified answer to the question what is 6/8 of 5 is:  

3 3/4

Step-by-step explanation:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

6 x 5/ 8 x 1  =  30 /8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

30/2 = 15

8/2 = 4

When we put that together, we can see that our complete answer is:  

15/ 4

If you now simplifiy the COMPLETE anwser is:

3 3/4

Answer:

Magnitude and Direction is 928 and 44

Step-by-step explanation:

For a Vector w = (x)i+(y)j

The Magnitude of w \(=\sqrt{x^{2} +y^{2} }\)

and the Direction of w \(=tan^{-1}(\frac{y}{x} )\)

So for our Question , w = - 168i - 160j

Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j

Then the Magnitude of -4w = \(\sqrt{672^{2} +640^{2} } =928\)

and the Direction of -4w = \(tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44\) ( to the nearest whole number)

Hope it Helps:)

Answer:

\( \frac{x}{123.5}= \frac{5800}{100}\)

Where x represent the amount at the end of the year and if we solve we got:

\( x = 123.5 *\frac{5800}{100}= 7163\)

And the the increase would be:

\( Increase= 7163 -5800= 1363\)

Step-by-step explanation:

We know that the initial amount is 5800 and at the end of the year the amount increase by 23.5% so then we can use the following proportional rule:

\( \frac{x}{123.5}= \frac{5800}{100}\)

Where x represent the amount at the end of the year and if we solve we got:

\( x = 123.5 *\frac{5800}{100}= 7163\)

And the the increase would be:

\( Increase= 7163 -5800= 1363\)

Answer:

=1.3

Step-by-step explanation:

Combine multiplied terms into a single fraction

0

.

6

5

=

0

.

5

0.65=0.5c

0.65=0.5c

0

.

6

5

=

1

2

0.65=\frac{1c}{2}

0.65=21c​

2

Multiply by 1

3

Multiply all terms by the same value to eliminate fraction denominators

4

Cancel multiplied terms that are in the denominator

5

Multiply the numbers

6

Move the variable to the left

Solution

=1.3

Answer:

c = 1.3

Step-by-step explanation:

0.65 = 0.5c ( divide both sides by 0.5 )

\(\frac{0.65}{0.5}\) = c , that is

c = 1.3

Answer: The given value is right

Step-by-step explanation:

To know if the given value is the solution, we have to find the right solution first.

9m - 19 = 3m + 1

9m - 3m = 19 + 1

6m = 20

m = 20 ÷ 6

m = 3.33333333 (repeating)

3.3 (repeating) is the same as the fraction 10/3, therefore the given value is correct

The correct options regarding the fractions are given as follows:

13) The non-equivalent fraction is 3 and 3/4.

14) The product of the two fractions is given by: 2 and 2/3.

15) The fraction is closest to the number 14.

16) The number of eights needed is:

Fractions are called equivalent if the division of the numerator by the denominator is the same.

Hence, for item 13, we have that:

3 and 3/4 = 3 + 0.75 = 3.75, which is different of 4.25, hence it is the non-equivalent fraction.

To multiply two fractions, we multiply the numerators and the denominators, hence:

12/20 x 15/6 = 12 x 20/(15 x 6) = 2 x 4/3 = 8/3.

8/3 as mixed number is 2 and 2/3, as the division of 8 by 3 has quotient 2 and remainder 2.

A fraction is converted to decimal dividing the numerator by the denominator, hence:

96/7 = 13.7, hence closest to 14.

2 and 3/4 inches is equivalent to 2.75 inches, hence the number of eights needed is:

2.75/(1/8) = 2.75 x 8 = 22.

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Answer:

the tax will be 0.52 dollars.

Step-by-step explanation:

4.25+2.25= 6.5 x 0.08= 0.52

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

The value of x, if The lines GH and IJ are parallel lines and EF is a transverse line, and The interior angles = 8x - 7 and 67° is 15.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

Given:

The lines GH and IJ are parallel lines and EF is a transverse line,

The interior angles = 8x - 7 and 67°

As we know that the sum of the same side interior angle is 180°  between two parallel lines, then,

8x - 7 + 67 = 180

8x = 180 - 60

x = 120 / 8

x = 15

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The earthquake's magnitude, to the nearest tenth, is approximately 6.4 on the Richter scale.

To determine the magnitude of an earthquake that releases 10,500,000,000 kilowatt hours of energy, we can use the Richter scale equation: M = 0.67 log(0.37E) + 1.46, where E represents the energy released by the earthquake.

Substituting the given energy value into the equation, we have:

M = 0.67 log(0.37 * 10,500,000,000) + 1.46

First, calculate the value inside the logarithm:

0.37 * 10,500,000,000 = 3,885,000,000

Next, evaluate the logarithm of 3,885,000,000:

log(3,885,000,000) ≈ 9.59

Substituting this value back into the equation, we get:

M = 0.67 * 9.59 + 1.46

M ≈ 6.43

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