There are 3072 books in the school library if 96 students reads the same number of books how many books would each student need to read?

Answer:

A) 4

Step-by-step explanation:

First note that m cannot exceed 10 otherwise 100-m² will be negative and √(100-m²) will not be a real number much less an integer

Enumerate all values of m from 0 through 10, find the square, subtract from 100 and see if the result is a perfect square.- we take the square root and see if it is an integer value. The table below details everything. m and n are integers on in 4 cases m = 0, 6, 8 or 10.

Hence the answer is 4 solutions

m   m²    100-m²    √(100-m²)        

0 0 100        10

1 1 99

2 4 96         9.797958971

3 9 91         9.539392014

4 16 84         9.16515139

5 25 75         8.660254038

6 36 64         8

7 49 51         7.141428429

8 64 36         6

9 81 19        4.358898944

10 100 0        0

The solution of the linear equation:

-x/3 + 4 = 20

Is x = -48

Here we have the linear equation:

-x/3 + 4 = 20

And we want to solve it for x. Which means that we need to isolate x in one of the sides of the linear equation.

Remember that we can perform the same operation in both sides of the equation, so we start by subtracting 4 in both sides, then we get:

-x/3 + 4 - 4 = 20 - 4

-x/3 = 16

Now we can multiply both sides of the equation by -3, then we get:

-3*(-x/3)=  -3*16

x = -48

The solution of the linear equation is x = -48

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This shows that she covered 0.4 miles in 10mins

Speed is defined as the rate of change of distance.

If it takes 24 minutes for jana to walk one mile, the rate of Jana is expressed as;

Rate= 24/1 mile

Rate = 24min/mile

In order to determine the distance she walk in 10 minutes, we will have;

Distance in 10min = 10/24

Distance in 10 min = 0.4 miles

This shows that she covered 0.4 miles in 10mins

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The absolute value equation for the values of x = -10 and x =-5 will be |( x + 10 )( x + 5 )| =0.

According to the question.

We have solutions of a absolute value equation.

As we knoaw that, the non-negative value of a real number x without regard to its sign is known as its absolute value or modulus equation  in mathematics and is indicated by the symbol |x|.

To find the absolute value equation whose solution are x = -10 and x = -5 we need to add some previous steps, which make the equation an absolute value equation.

|(x+10)(x+5)|=0,

x=-10 and x=-5

Hence, the absolute value equation for the values of x = -10 and x =-5 will be |( x + 10 )( x + 5 )| =0.

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Answer:

x = 5

Step-by-step explanation:

Mode: The most frequently occurring data value.

Median: The middle value when all data values are placed in order of size.

Mean: The sum of all data values divided by the total number of data values.

As the mode is the most frequently occurring data value, x must be 3, 4, 5 or 8.

If the mode is 3 or 4, then the data set will be {3, 3, 4, 5, 8} or {3, 4, 4, 5, 8}.  Therefore, the median would be 4.

If the mode is 5 or 8, then the data set will be {3, 4, 5, 5, 8} or {3, 4, 5, 8, 8}.  Therefore, the median would be 5.

Therefore, the median is 4 or 5.

[tex]\boxed{\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}[/tex]

If x = 4, the mean would be:

[tex]\sf \implies mean=\dfrac{3+4+5+8+4}{5}=\dfrac{24}{5}=4.8[/tex]

If x = 5, the mean would be:

[tex]\sf \implies =\dfrac{3+4+5+8+5}{5}=\dfrac{25}{5}=5[/tex]

Therefore, the only value of x that allows the mean, median and mode to all have the same value is x = 5.

After simplifying the expression √80y³, we get the answer as 4 y √5 y.

We are given that:

√80y³

We have to simplify it.

We will first make the factors of it.

Factors of 80:

80 = 2 × 2 × 2 × 2 × 5

Factors of y³:

y³ = y × y × y.

Now the expression can be re- written as:

√2 × 2 × 2 × 2 × 5 × y × y × y.

Simplifying it:

2 × 2 × y √5 y

4 y √5 y

Therefore, after simplifying the expression √80y³, we get the answer as 4 y √5 y.

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If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

[tex]P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188[/tex]

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

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Answer:

Step-by-step explanation:

Answer:x=−19

Step-by-step explanation: work in your head ppl

Answer: -3

Step-by-step explanation:

trust me

Answer:

Step-by-step explanation:

The statement ''The average age of the students in a statistics class is 20 years'' describes descriptive statistics.

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To minimize their royal costs to $200, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

Ratios are numerical relationships between variables that show how much each variable is contained in another.

Ratios are stated in fractions, percentages, or decimals.

Total songs to include in the song = 20

The ratio of Donovan and Beatles = 5:1.5

The number of Donovan songs to include = 15 (20/6.5 x 5)

The number of Beatles songs to include = 5 (20/6.5 x 1.5)

Royalty cost per Donovan song = $11

Royalty cost per Beatles song = $7

Total royalty costs for Donovan and Beatles song = $200 ($11 x 15 + $7 x 5)

Thus, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

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Aji and Sunshine want to make a CD of songs from the 1960s to donate to their school library to be broadcast during school picnics. Sunshine's parents were big fans of the 60s singer Donovan, and they named her after his song "Sunshine Superman." Aji's folks were devotees of the Beatles. Aji and Sunshine want their CD to consist entirely of songs by Donovan and the Beatles. Because Sunshine is named after a Donovan song, she wants to include at least as many Donovan songs as Beatles songs. Aji agrees. In return, Sunshine agrees to include at least five Beatles songs. 5 1.5 To provide enough variety to make the mix interesting, they decide to include at least 20 songs altogether.

Answer:

5

Step-by-step explanation:

rs + 14s

(6)(1/4) + 14(1/4)

[tex]\frac{6}{4}[/tex] + [tex]\frac{14}{4}[/tex] = [tex]\frac{20}{4}[/tex] = 5

Answer:

5

Step-by-step explanation:

rs + 14s

r = 6

s = 1/4

= 6*1/4 + 14*1/4

= 6/4 + 14/4

= (6+14) / 4

= 20/4

= 5

The length of the ladder to the nearest tenth of a foot as evaluated by trigonometric ratios is; 12.2ft.

Since the base of the ladder as indicated in the task content is 10 feet away from the bottom of a building's wall, it follows that the set-up in discuss is analogues to a right triangle whose adjacent is 10ft;

Therefore, the length of the ladder which is the hypothenuse can be evaluated as follows;

cos 35° = 10/L

L = 10/cos 35

L = 12.2ft.

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Answer:

22.2%

Step-by-step explanation:

Total number of people at the recreation center=81

Number of people swimming=18

=18/81 x 100

=22.22222

Round of to the nearest tenth

=22.2%

The given number is a real number.

A real number is a value of a continuous quantity that can be used to indicate a distance along a line in mathematics.

We are given the following in the question:

{natural​ numbers, whole​ numbers, integers, rational​ numbers, real numbers}

π / 108

We have to tell the type of number that describes the given fraction.

Evaluating the value, we have,

0.0290888208666...........

This is not a natural number or a whole number. This is not a rational number.

Since is an irrational number, thus quotient of an irrational number and a rational number is an irrational number.

Thus, it is a real number.

The complete question is given below:-

Choose the first set in the list of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers that describes the following number. StartFraction pi Over 108 EndFraction.

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Equation that best models the situation is where c = 11

Living plants are used in phytoremediation technologies to purify contaminated soil, air, and water. According to the definition, it involves "the use of green plants, associated microbes, suitable soil amendments, and agronomic techniques to either contain, remove, or render dangerous environmental toxins harmless." The word is a combination of the Greek words phyto (plant) and remedium (remedy) (restoring balance). Despite being appealing due to its low cost, phytoremediation hasn't been shown to significantly address any environmental issues, at least not to the point where contaminated space has been returned. A cost-effective plant-based method of environmental cleanup called phytoremediation is being proposed. It makes use of plants' capacity to concentrate elements and chemicals from the environment and to detoxify different contaminants. The ability of certain plants, known as hyperaccumulators, to bioaccumulate substances is what causes the concentrating effect. The impact of cleanup is very different. Organic contaminants, which can be destroyed, are typically the main targets for phytoremediation while toxic heavy metals cannot. Several field tests supported the viability of employing plants to clean up the environment.

Let the number of crops needed to remove pollution = c

Since one crop can remove 15 mg of pollution per square meter.

Then, "c" number of crops may remove "15 C" mg of pollutant per square meter.

Now, the total amount of pollution per sq. meter Equals 170 mg

Additionally, it is necessary to reduce pollution to 5 mg per square meter.

Consequently, the equation for the scenario is given by,

Pollutants 'c' crops can remove from the total amount of pollution equal the amount of pollution required, or 170-15c=5.

Upon solving the equation, we get, c= 11.

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Answer:

0

Step-by-step explanation:

AT 25 SQUARE FEET OF FLOORING

CHOOSE WOODY'S HARDWOOD FLOORING

Typically, the price of engineered hardwood flooring is $6 to $10 per square foot, plus $1.75 to $2.20 per square foot for installation. High-quality hardwood flooring typically costs between $6 and $13 per square foot from customers. Your home renovation project could be very stressful. Expectations, timeframes, budgets, and the cost of flooring contractors all need to be harmonized.

There will always be a time when you want to give up on the renovation project. For some reason, finding someone to install your flooring is usually the first step.

1 - 8s + 150 = 6s + 200

      2s = 50

         s= 25 sq.feet

2 - 120 * 8 + 150 = 1110

      120 * 6 + 200 = 920

1110 > 920

so choose woody's hardwood flooring.

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Option C uses the multiplication equation to express the figure, 0.27 x 9 = 2.43, by basic algebra.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, firstly refer to the image attached.

Since each large square is one whole, we've been provided with two complete squares, where 4 filled rows and 3 empty rows make up the last entire square row.

According to the third square, the answer is 2.43, i.e., the answer is 2.43 after you multiply to find which of 0.27 and 9 truly equals it, by basic algebra.

The figure is therefore represented by the multiplication equation.

⇒ 0.27 × 9 = 2.43

Hence, Option C uses the multiplication equation to express the figure, 0.27 x 9 = 2.43, by basic algebra.

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Answer: 51.96m

Step-by-step explanation:

We can solve this using cosine, remember SOHCAHTOA, so cos is adjacent over hypotenuse.

hyp = 60

adj = ?

[tex]cos = \frac{adj}{hyp}\\cos 30 = \frac{x}{60} \\\\cos30 *60=x\\x=51.96m[/tex]

Answer:

What do I solve for with these functions?

Step-by-step explanation:

A positive association occurs when an increase in one variable is generally associated with the increase in the second variable and a negative association occurs when one variable tends to decrease as the other increases.

An association is any relationship between two factors that produces them subordinate, i.e. knowing the value of one variable gives us some data around the possible values of the moment variable.

The objective of this variable is to utilize clear measurements and visualisations to investigate affiliations among different kinds of factors.

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The midpoint of the line segment with the endpoints is (2.4, -1)

The endpoints are given as:

(3.2,2.5) and (1.6,-4.5)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (3.2 + 1.6, 2.5 - 4.5)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (4.8, -2)

Evaluate the products

So, we have:

Midpoint = (2.4, -1)

Hence, the midpoint of the line segment with the endpoints is (2.4, -1)

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Answer:

Choice 3

Step-by-step explanation:

The graph fails the vertical line test.

The possible denominators are {3, 9, 11, 33, 99}.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We have been given that a and b are digits, not both nine and not both zero, and the repeating decimal.

⇒ 100x = ab⋅abababab

⇒ x = 0.abababab

Subtract the above equation from 100x = ab⋅abababab,

So  99x = ab

The denominator of this fraction will always be a divisor of 99 when represented in the lowest term = 3⋅3⋅11    

According to this, we have the options in the set. {1, 3, 9, 11, 33, 99}.  

Since a and b both are not both 9 and not both zero the denominator 1 cannot be possible.

Hence, the possible denominators are {3, 9, 11, 33, 99}.

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Answer:

Hello,

Step-by-step explanation:

16)

Area of the square= 5²=25 (unit of square)

17)

Volume of the cube =3^3 =27 (unit of volume)

18)

side of the cube =5 (unit of lenght)

Volume of the cube = (5 (unit of lenght)) ^3

=125 * (unit of lenght)^3 =125 (unit of volume)

Answer:

-24r⁵ + 4r⁴ + 18r³ - 22r².

Step-by-step explanation:

-2r² (12r³ − 2r² − 9r + 11)

= -24r⁵ + 4r⁴ + 18r³ - 22r²

Answer:

Step-by-step explanation: Refer to attachment.