Among the 7th graders in a middle school, three quarters of them play at least one sport. Among the 7th graders who play sports, half of them play more than one sport. Among the 7th graders who play more than one sport, one third of them play more than two sports. Among the 7th graders who play more than two sports, one quarter of them play more than three sports. Sixteen 7th graders play more than three sports at the school. How many 7th graders are in the school

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Hope this helps

Answer:

third option

Step-by-step explanation:

4(x - 4) + 2(3x² + 3x - 20) = 4x - 16 + 6x² + 6x - 40 =

= 6x² + 10x - 56

correct.

Answer:

One ticket is $153

Step-by-step explanation:

x = The price of a ticket

855=5x+18(5)

855=5x+90

765=5x

153=x

Answer:

x = $159

Step-by-step explanation:

5 tickets are bought, the price of them is unknown?

1 ticket per $18 travel insurance

5 tickets = 18 × 5

insurance per 5 tickets = $90

the equation:

let X represent the number of tickets.

5x + 90 = 885. the total cost of insurance and tickets = 885

we solve the equation.

5x=885 - 90

5x= 795. divide by 5 into both sides.

x= $159. which is the price of one ticket.

The minimum surface area of the container is: 96.00 cm² in the given case.

Let's call the length and width of the square base "x", and the height of the container "h". Since the container has a volume of 256 cm^3, we can write:

V = \(x^2 * h = 256\)

We want to minimize the surface area of the container, which consists of the area of the base plus the area of the four sides. The area of the base , and the area of each side is xh. Therefore, the total surface area of the container is:

A = \(x^2 + 4xh\)

We can solve for h in terms of x using the volume equation:

h = \(256 / (x^2)\)

Substituting this expression for h into the surface area equation, we get:

A(x) =

To find the minimum surface area, we need to find the critical points of the function A(x).

We can do this by taking the derivative of A(x) with respect to x, setting it equal to zero, and solving for x:

\(dA/dx = 2x - 1024 / x^2 = 0\\2x = 1024 / x^2\\x^3 = 512\\x = ∛512\\x ≈ 8.00 cm\)

To confirm that this is a minimum, we can check the second derivative:

\(d^2A/dx^2 = 2 + 2048 / x^3\)

This is positive, so A(x) has a minimum at x =\(∛512\). Therefore, the minimum surface area of the container is:   96.00 cm²

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There are 144 meal options available if one item from every category makes up a meal.

To determine the number of meal options available, we multiply the number of options in each category:

Number of appetizer options = 6

Number of salad options = 3

Number of entree options = 4

Number of dessert options = 2

To find the total number of meal options, we multiply these numbers together:

Total meal options = Number of appetizer options * Number of salad options * Number of entree options * Number of dessert options

= 6 * 3 * 4 * 2

= 144

Therefore, there are 144 meal options available if one item from every category makes up a meal.

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The answer is B= 2a/h - a

The factored expression will be 8(a+5).

Given is an expression 8a+40, we need to find the factor the expression using the distributive property.

So,

8a+40

= 8 × a + 8 × 5

= 8(a+5)

Hence the factored expression will be 8(a+5).

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When the water level is 2 in, the volume of the water-filled into the conical paper cup is at a rate of 37.7 in³/sec.

The volume of the cone is the product of one-third of the height, pie, and square of the radius.

The volume of the cone =  1/3. πr².h

Consider that r = radius of water at an instant and h = height of the water at an instant

The two triangles are similar:

r / h = 10/10

or,

r = h

The volume of the water is

V = 1/3. πr².h

Substitute r = h

V = 1/3. πh².h = 1/3. πh³

dV/dt = πh² . dh/dt

In an instant, the parameters are

h = 2 in.

dh/dt = 3 in/sec

Hence,

dV/dt =  π2² x3

dV/dt= 37.7 in³/sec.

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The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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Hey there!

The answer to your question is \(-6+4p\)

Given:

\(-(6-4p)\)

First, we distribute the negative sign to both terms (\(6\) \(and\) \(-4p\)) This would make the \(6\) negative and the \(-4p\) positive, so we have:

\(-6\) \(and\) \(4p\)

Add them together and we get:

\(-6+4p\)

Have a nice day!

Twice a certain number,minus three,is equal to seven. The number is 5.

Let's assume the number is represented by x.

The given statement "Twice a certain number, minus three, is equal to seven" can be written as an equation:

2x - 3 = 7

To find the value of x, we can solve this equation for x.

Adding 3 to both sides of the equation:

2x - 3 + 3 = 7 + 3

Simplifying:

2x = 10

Dividing both sides of the equation by 2:

(2x)/2 = 10/2

Simplifying further:

x = 5

Therefore, the number is 5.

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The perimeter is 4x + 14

1.) 3x - 5 + 2x + 19 - x

2.) look for like terms: 3x - 5 + 2x + 19 - x

3.) simplify 3x + 2x - x = 4x -5 + 19 = 14

so the answer is 4x + 14

Answer:

14.5

Step-by-step explanation:

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Step-by-step explanation:

The answer is -0.216m^9n^6

The 9 N and the 6 are exponents

The given monomial in standard from as \(-0.216m^927n^6\).

The given monomial is (-0.6m³3n²)³.

Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial.

The given monomial can be solved as follows:

Using power law of exponent \((a^m)^n=a^{mn}\), we get

(-0.6m³3n²)³

= \(-0.216m^927n^6\)

Therefore, the given monomial in standard from as \(-0.216m^927n^6\).

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Answer:

None

Step-by-step explanation:

The reason is because none of them add up to at least 91°

62° would be your best bet but, even when you do the math 62*2= 124

124/6= 20 2/3°

62+20.66...= 82.666...

82.6666...<91°

According to the uniform distribution, there is a 0.625 = 62.5% chance that a randomly chosen passenger will have to wait longer than 2.25 minutes.

The boundaries of a uniform distribution are a and b.

The likelihood of discovering a value greater than x is:

P(X > x)=b-x/b-a

In this issue, the distribution of time is evenly spaced between 0 and 6 minutes, therefore

a=0 b=6

P(X > x)= 6-2.25/6-0

=0.625

0.625 = 62.5% probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

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Answer:

C

4296 - 80% = 859.2 + 4297 = 5155.2

Rounded up to the nearest answer

Answer:

1 is correct answer

Step-by-step explanation:

\(21 = 3(x + 6) \\ 21 = 3x + 18 \\ 21 - 18 = 3x \\ 3 = 3x \\ x = \frac{3}{3} \\ x = 1\)

hope it helped you:)

The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the premium skins be p.

Let the number of tools be t.

This will be illustrated as:

(2.99 × p) + (4.99 × t) = 25

2.99p + 4.99t = 25

This illustrates the equation.

The complete question is given below.

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Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99. What is the equation to depict this?

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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To find the nonpermissible replacement for y in the expression;

The nonpermissible replacement for y is the replacement for y at which the denominator of the expression is zero. (when the denomenator is zero, the final value can not be determined).

For the given expression, the denomenator is;

For y to be nonpermissible, the denometor must be equal to zero.

To get y, add 1 to both sides.

At y =1, the expression becomes;

Therefore, the nonpermissible replacement for y in the given expression is;

Answer:

Auto repair labor rates vary widely across the country, and even within the same city. As of January 17, 2017, auto repair shops in the AAA Approved Auto Repair network charged between $47 and $215 per hour, based primarily on the shop's cost of doing business.

Answer:

\(8x\sqrt{5x}\)yz

Step-by-step explanation:

before you plug in this answer, is your correct equation \(\sqrt{320x^3} yz\) or \(\sqrt{320x^3yz}\)

Answer:

First choice

-∞ < y< ∞

Step-by-step explanation:

In this function,we need to use graph in order to find out the range.

Graph is attached.

Taking into account the definition of a system of linear equations, the number of adult tickets sold was 50.

A system of linear equations is a set of linear equations in which two or more variables are related.

In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in the  equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

3c + 5a= 340

c + a= 80

From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "c" from the second equation:

c= 80- a

Replacing this expression in the first equation:

3×(80- a) + 5a= 340

Solving:

3×80- 3a + 5a= 340

3×80- 3a + 5a= 340

240- 3a + 5a= 340

- 3a + 5a= 340- 240

2a= 100

a=100÷ 2

a= 50

Finally, 50 adult tickets were sold.

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Answer: 1/4 times 5

Step-by-step explanation: gtg sorry don’t have time

An

i get scared to take screenshotes i feel like i wouldm get hacked

Step-by-step explanation:

Linear equations involve equalities (i.e., "=") and are used to represent lines in a coordinate plane. Linear inequalities, on the other hand, involve inequalities (i.e., "<", ">", "<=", ">=") and are used to represent regions or areas of a coordinate plane that satisfy certain conditions.

A linear equation can be expressed in the form "y = mx + b," where "m" represents the slope of the line and "b" represents the y-intercept. Given the values of "m" and "b," you can calculate the y-coordinate for any given x-coordinate, and vice versa. The graph of a linear equation is a straight line.

A linear inequality is expressed in the form "y < mx + b," "y > mx + b," "y <= mx + b," or "y >= mx + b." Instead of representing a single line, a linear inequality represents a shaded region on the coordinate plane that satisfies the given condition. To graph a linear inequality, you can choose a test point not on the line and check whether it satisfies the inequality. If it does, shade the region containing the test point; otherwise, shade the other region.

In summary, the main difference between linear equations and linear inequalities is the use of equalities versus inequalities. Linear equations represent lines, while linear inequalities represent shaded regions on the coordinate plane. Equations deal with exact solutions, whereas inequalities deal with a range of possible solutions. Understanding the distinctions between these concepts is important in various areas of mathematics, such as algebra and geometry.

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