The bookstore had 56 copies of magazine yesterday and sold 1/4 of them today sold 4/7 of what remain how many copies does the book store have 

Using percentages, we can deduce that 160 of the 800 attendees at the football and math conference were teenagers or 20% of the total.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Therefore, the proportion refers to a component per 100.

The word percent denotes a percentage of 100.

A percentage (%) is a number that represents how many out of 100 it is and can also be written as a decimal or fraction.

To convert a percentage to a fraction, place the percentage's value in the numerator and 100 in the denominator.

So, we are aware of:

The football game attracted 800 spectators.

20% of the population were teenagers.

The number of teens at that time was:

= 800/100*20

= 8*20

= 160

Therefore, using percentages, we can deduce that 160 of the 800 attendees at the football and math conference were teenagers, or 20% of the total.

Know more about percentages here:

brainly.com/question/24877689

#SPJ4

Answer:

Below

Step-by-step explanation:

Cross multiply the fractions to get

3 (x+4 ) = 4(x+3)

3x + 12  = 4x + 12     subtract 12 from both sides

3x = 4x      <======obviously , this can only happen when x = 0  

ONE SOLUTION

Answer:

0.85

Step-by-step explanation:

4a-2b+c/2abc

where a=5,b=2,c=1

4(5)-2(2)+1/2×5×2×1

20-4+1/20

17/20

0.86

Cosine of ∠U is 28/53 in proper fraction, 28/53 in improper fraction, 0.52609 in whole number.

The cosine of an angle in a right triangle can be found using the ratio of the adjacent side to the hypotenuse. In this triangle, the adjacent side to ∠U is 28 and the hypotenuse is 53.

cos(∠U) = adjacent side ÷ hypotenuse = 28 ÷ 53 = 28/53

So, the cosine of ∠U is 28/53, written as a proper fraction.

Now let's convert cosine of ∠U is 28/53 in improper fraction:

The cosine of ∠U, which is 28/53, can be expressed as an improper fraction by dividing both the numerator and denominator by their greatest common factor.

gcd(28, 53) = 1, so the fraction cannot be further simplified.

Therefore, the cosine of ∠U, expressed as an improper fraction, is 28/53.

Now let's convert cosine of ∠U is 28/53 in whole number:

The cosine of ∠U, which is 28/53, can be expressed as a whole number by dividing the numerator by the denominator.

28 ÷ 53 = 0.526087

So, the cosine of ∠U expressed as a whole number is approximately 0.52609

To know more about cosine here:

https://brainly.com/question/14505589

#SPJ4

_____ The given question is not correct, so correct Question is:

Find the cosine of ∠U in Triangle UTV with side:

UV=28

VT=45

TU=53

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

The expected number of 3's would be 5.

What is probability?

Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.

The probability of rolling a 3 on a single roll of a fair six-sided die is 1/6, since there is one favorable outcome (rolling a 3) out of a total of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

However, it's important to keep in mind that the actual number of 3's obtained in 30 rolls of a die can vary, as the outcome of each roll is inherently random.

The expected value provides us with a guide for what to expect on average, but in any given sequence of rolls, the actual number of 3's may be higher or lower.

So, if you roll the cube 30 times, the expected number of 3's would be 30 * 1/6 = 5.

To know more about probability visit,

https://brainly.com/question/13604758

#SPJ4

The value of x in the angle is 56 degrees

From the question, we have the following parameters that can be used in our computation:

The figure

On the figure, we have teh following equation

64 + x + 60 = 130

The above is by the sum of angle theorem

So, we have

124 + x = 130

Evaluate the like terms

x = 6

Hence, the value of x is 6

Read more about angle at

brainly.com/question/25716982

#SPJ1

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer: 14.64m^2

Step-by-step explanation:

Base area = volume/height

Substitute:

86.376/5.9 = 14.64cm^2

Hope that helps!

Answer:

7a) To show that r^2 = R^2 - h^2, one can use the Pythagorean theorem and the fact that the distance from the center of the sphere to the surface of the cylinder is h/2.

7b) To find the volume of the cylinder, one can use the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height.

7c) To find the maximum volume of the cylinder, one can differentiate the expression for the volume with respect to h, set the derivative equal to zero, and solve for h.

7d) The ratio of the volume of the sphere to the maximum volume of the cylinder can be found by dividing the volume of the sphere by the maximum volume of the cylinder.

To find the ratio of radius to height for the desired can, one can set up an expression for the surface area of the can and differentiate it with respect to the radius and height. Setting the partial derivatives equal to zero, one can find the critical points, and evaluate which one is the minimum.

10a) To find the area of the rectangle, one can use the formula for the area of a rectangle, A = xy, where x is the length and y is the width.

10b) To find the maximum area of the rectangle, one can differentiate the expression for the area with respect to x and y, set the partial derivatives equal to zero, and solve for x and y.

Step-by-step explanation:

Answer:$1.097

Step-by-step explanation:

3.29/3

then you will get 1.0967 (round up)

In this question, the length of the chord LN will be 15 inches long. It will be equal to PM.

Given,

At the circle's Centre, the Arc PL subtends an angle of 10 degrees.

At the circle's Centre, the Arc LM subtends an angle of 14 degrees.

At the circle's Centre, the Arc LN subtends a 24 degree angle.

The PM chord measures 15 inches in length.

What are the circle's chord theorems?

Considering the attached figure now,

The angle that the Arc PM creates at the Centre is equal to the sum of the angles that the Arc PL and Arc LM make there.

So,

At the middle, Arc PM will create the following angle: 10+14=24 degree.

We are aware that if the chords that make up the arc are equal, then the angle that it subtends in the Centre of the circle will likewise be equal.

Since, PM= 15 inches, therefore LN will also be 15 inches.

LN is therefore 15 inches as well.

Here is the more information about circle: brainly.com/question/732113

#SPJ4

12/5 yards is the length she should use to make the string.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Cassandra is hanging crystal stars from the gym ceiling using string for the homecoming dance

She wants the ends of the strings where the stars will be attached to be 7 feet from the floor.

BD is perpendicular to AC.

∠BDA+∠2+∠3=180

∠2+∠3=90 degrees.

∠1=∠3 (the equivalent substitution)

ΔABD=ΔBCD

AD/BD=BD/DC

(Similar triangles have sides that are proportional)

AD.DC=BD²

PC⊥AC

∠ACP=90 degrees.

∠ACM+∠MAC+∠∠CAM=180

∠ACM=∠APC

Therefore ΔAMC~ΔPCA

CM/CD=AC/AD

CM=12/5 yards

Hence, 12/5 yards is the length she should use to make the string.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer: 18

Step-by-step explanation:

First, find x for x-2. So you would use one of the Geometric Mean Theorems using 5 and a height of 10. For this problem, we will use "y" as a placeholder for finding the whole total of that side.

[tex]\frac{5}{10} =\frac{10}{y} \\[/tex]    Solve. --> [tex]5y = 100\\[/tex] --> [tex]\frac{5y}{5} =\frac{100}{5} \\[/tex] --> y = 20

Then subtract 20 from 2 to find x. You get 18 as an answer.

As a result, the extreme stem values may contain fewer rows than the other stem values. In our graph, the extreme stem values are 1 and 4, and they both have fewer rows than the middle values (2 and 3).

The shape and spread of a continuous data distribution are depicted by stem and leaf plots. These graphs are similar to histograms, but instead of bars, they display numbers.

Statistical software packages use an algorithm to improve our ability to read stem and leaf plots by displaying multiple rows of each stem value based on the properties of the data, as shown in the body fat percentage graph. There are two ones, five twos, five threes, and four fours.

The graph divides stem values into five rows for the body fat percentage data. Each row only has two leaf values (e.g., 0 and 1, 2 and 3, etc.) The leaf values terminate at the dataset's minimum and maximum values.

To learn more about stem and leaf plots link is here

brainly.com/question/12857419

#SPJ4

The answer is  cov(x,y) = 0.059, if we choose a random point (X, Y ) uniformly from the union of the line segments AB and AC.

As given, A = (0, 0) ,B = (1, 0) and C = (0, 1)

and we have the select x and y from line segment AB and AC respectively.

So, x can be 1.0, 0.8, 0.6, 0.4, 0.2

and y  can be 1.0, 0.8, 0.6, 0.4, 0.2

Now we have to find,

                     cov(x,y) = ∑(Xi - μ) (Yj - v) / n

where,

Now µ = 1.0 + 0.8 + 0.6 + 0.4 + 0.2 + 0.0 ÷ 6

        µ = 3 ÷ 6

        µ = 1/2 = 0.5

Now v = 1.0 + 0.8 + 0.6 + 0.4 + 0.2 + 0.0 ÷ 6

        v = 3 ÷ 6

        v = 1/2 = 0.5

Now, we have to find

       (Xi - µ) = (1.0 - 0.5), (0. 8- 0.5), (0.6 - 0.5), (0.4 - 0.5), (0.2 - 0.5),                            

                           (0.0 - 0.5)

        (Xi - µ) = 0.5, 0.3, 0.1, (-0.1), (-0.3), (-0.5)

(Yj - v) =  (1.0 - 0.5), (0. 8- 0.5), (0.6 - 0.5), (0.4 - 0.5), (0.2 - 0.5),                            

                           (0.0 - 0.5)

(Yj - v) = 0.5, 0.3, 0.1, (-0.1), (-0.3), (-0.5)

Now calculate (Xi - μ) (Yj - v): multiply them with their respective one

(Xi - μ) (Yj - v) = (0.5×0.5), (0.3×0.3), (0.1×o.1), (-0.1)(-0.1), (-0.3)(-0.3),

                         (-0.5)(0.5)

therefore,

∑(Xi - μ) (Yj - v) = (0.25+ 0.09 + 0.01 + 0.01 + 0.09 + 0.25)

∑(Xi - μ) (Yj - v) =0.35

Now,  cov(x,y) = ∑(Xi - μ) (Yj - v) / n

          cov(x,y) = 0.35 / 6

          cov(x,y) = 0.059

To know more about Line segment:

brainly.com/question/280216

#SPJ4

Interest on amount after 4 years = $256

Simple interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest for a given time.

Given,

Principal = $3200

Rate = 2%  = 0.02

Time =  4 years

Simple Interest = Principal × rate × time

                         = 3200 × 0.02 × 4

                         = $256

Hence $256 is simple interest on Principal amount after 4 years.

Learn more about simple interest here:

https://brainly.com/question/25845758

#SPJ1

The term that best describes the analysis conducted by the researcher is; Observational Study

We are given the parameters as;

Number of all adult members of a tribe = 217

Average height of the adult members = 5.49 ft

Now, there are different methods of research analysis such as experiment

randomized trial

double blind study

observational study

Now, in this case we are only told what the researcher has observed from his analysis and an observational study is used to answer a research question based purely on what the researcher observes.

Read more about Research analysis at; https://brainly.com/question/968894

#SPJ1

Measurements are important for a safe and secure structure, as they must adhere to local building codes and regulations. Preliminary planning can be used to estimate the height, width, and length of the ramp and the amount of concrete and other materials needed.

A measurement is a measurable quantity that includes length, breadth, height, area, volume, weight, or time. Measurements are used to measure an object's or area's size, shape, or qualities.

A) Estimating measurements for a construction project such as this is not advisable, as accuracy is essential for ensuring the wall is stable and safe for use. Calculations must be precise in order to ensure the dimensions, material strength, and angles are correct, which is why it is important to use exact measurements in the plans.

B) In some cases, estimates may be acceptable. For example, the approximate number of blocks or pieces of material needed may be estimated based on the overall size and shape of the wall. Additionally, estimates of the time needed to complete the project may be made based on the experience of the construction team and the complexity of the project.

To know more about measurement, visit

brainly.com/question/2107310

#SPJ1

The equations that are solutions when c = 9 are B and C, and D and E.

When c = 9, the solutions for the equations are:

(A) 4 - c = 5: substituting 9 for c, we get 4 - 9 = -5, which is not true, so this equation is not a solution.

(B) 20 = 14 + c: substituting 9 for c, we get 20 = 14 + 9, which is true, so this equation is a solution.

(C) 15 = c - 6: substituting 9 for c, we get 15 = 9 - 6, which is true, so this equation is a solution.

(D) c/3 = 3: substituting 9 for c, we get 9/3 = 3, which is true, so this equation is a solution.

(E) 36 = 4c: substituting 9 for c, we get 36 = 4 * 9, which is true, so this equation is a solution.

So the equations that are solutions when c = 9 are B and C, and D and E.

To learn more about  equation:

https://brainly.com/question/15707224

#SPJ4

Answer:



Step-by-step explanation:

The time it would take him to walk to the school at 1.5 mph is given as follows:

2 hours.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The parameters for this problem are given as follows:

v = 6, t = 0.5 hours.

Hence the distance is of:

d = vt

d = 6 x 0.5

d = 3 miles.

At a velocity of 1.5 miles per hour, the time would be given as follows:

1.5 = 3/t

1.5t = 3

t = 2 hours.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Answer:

Step-by-step explanation:

4

The proof for the the lines p and q are parallel is given below.

Alternate exterior angles are the angles formed on the two opposite sides of the transversal which are on the outer side of the parallel lines.

Given that,

∠1 ≅ ∠2 or ∠2 ≅ ∠1.

Now ∠1 ≅ ∠3, by the vertical angles theorem.

(By the vertical angles theorem, vertical angles formed by two intersecting lines are congruent).

Then ∠2 ≅ ∠3, by the transitive property.

(Transitive property states that, if a = b and b = c, then a = c)

By the corresponding angles converse postulate, two lines p and q are parallel.

(If the corresponding angles of two lines cut by a transversal are equal, the lines are parallel).

Hence it is proved.

Learn more about Parallel Lines here :

https://brainly.com/question/16701300

#SPJ1

According to the information, the center line would be 3.5 cm from points X and Y.

To graph the instructions described we must perform the following procedure:

First of all we must carefully read the instructions and identify what the first step is. In this case we must draw a horizontal line 7 cm long.

Secondly, we must draw a line at the point equidistant from the points X and Z, that is, halfway between these two points. If we take into account that the first line measures 7 cm, this point will be 3.5 cm from each point.

Thirdly, we must give a length of 6 cm to this central line and it must also be equidistant. Therefore, we must give it 3 cm upwards and 3 cm downwards in length so that it is equidistant.

Learn more about equidistant lines in: https://brainly.com/question/29886213

#SPJ1

Answer:

  79

Step-by-step explanation:

You want the smallest of 6 consecutive odd integers that have a sum of 504.

The average of the integers will be the even integer between the middle two odd integers. The smallest odd integer is 5 less than this average.

The average is the sum divided by the number of integers:

  504/6 = 84

The smallest of the 6 integers is 84 -5 = 79.

__

Additional comment

The integers are 79, 81, 83, 85, 87, 89.

Consecutive integer problems are often easily worked by considering the average of the integers, as here.

If you feel like you need an equation, you can let x represent the smallest. Then the sum is ...

  x +(x+2) +(x+4) +(x+6) +(x+8) +(x+10) = 6x +30 = 504

  6x = 474   ⇒   x = 474/6 = 79

In general, the employees at Store 1 got more sleep, with an average of 8.5 hours of sleep per employee, compared to Store 2's average of 7.5 hours.

The dot plots for the two stores show that Store 1 had employees who got between 5 and 10 hours of sleep, whereas Store 2 had employees who got between 4 and 8 hours of sleep. The median for Store 1 was 8.5 hours of sleep, and the median for Store 2 was 7.5 hours of sleep. This indicates that, in general, the employees at Store 1 got more sleep than the employees at Store 2. The dot plots also show that there were more employees at Store 1 with 8 hours of sleep than Store 2, and fewer employees at Store 1 with 6 hours of sleep than Store 2. This suggests that Store 1 had more employees getting 8 hours of sleep, and fewer employees getting 6 hours of sleep, than Store 2. This can be further seen by the fact that the average amount of sleep for employees at Store 1 was 8.5 hours, while the average amount of sleep for employees at Store 2 was 7.5 hours. Therefore, in general, the employees at Store 1 got more sleep than the employees at Store 2, with an average of 8.5 hours of sleep per employee, compared to Store 2's average of 7.5 hours.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer: b y c a x b is the answer

:

Answer:

one of the zeros is x = 0 and not x = 1

Step-by-step explanation:

Zeros are found by setting each of the factors to 0 and solving for x

Factors are x, x -4, x + 2

Set each of them to 0:
x =0
x + 2 = 0 ==> x = -2
x -4 = 0 ==> x = 4

So one of the zeros is x = 0 and not x = 1

The geometric sequence is given as follows:

1, 2, 4, 6, 8, ...

The recursive formula is given as follows:

The explicit formula is given as follows:

[tex]f(n) = 2^{n - 1}[/tex]

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q, meaning that each term is obtained by the multiplication of the previous term by the common ratio q.

The explicit formula of a geometric sequence is given by:

[tex]f(n) = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For the recursive formula, we have that:

f(n) = q x f(n - 1).

More can be learned about geometric sequences at https://brainly.com/question/24643676

#SPJ1

Based on the given angles:

From the given lines and angles, we can identify:

Vertical angles are pair of angles with no adjacent line but share one meeting point and have congruent angles. Four pairs of vertical angles are:

Alternate interior angles are pair of angles within the parallel line (inside) that have congruent angles. Each pair cross the transversal line "t". Two pairs of alternate interior angles are:

Cogruent angles might come from several types of relationships, such as:

All angles congruent to angle ∠1 are:

All angels congruent to angle ∠2 are:

Supplementary angles are a pair of angles whose its sum is 180°. Supplementary angles might formed by several types of angles relationship, such as:

Pairs of supplementary angles are:

Consecutive interior angles:

Adjacent angles:

Corresponding angles are a pair of unadjacent angles but have congruent angles because they face the same direction. Pairs of corresponding angles:

Learn more about Angles here: brainly.com/question/28451077

#SPJ1