Blaine has 16 video games. The types of video games he has are sports games, treasure hunts, and puzzles. He has 4 more sports games than treasure hunts. He has 3 fewer puzzles than treasure hunts. Use the guess, check, and revise strategy to determine how many of each type of video game Blaine has..

Answer:

2 /3

Step-by-step explanation:

rise = 2

run = 3

slope = rise/run

Answer:

2/3

Step-by-step explanation:

rise over run

The number of homes in a community of 12, 000 which would be heated by electricity, given the rate of houses heated, is c. 3,360 homes

To find the number of homes in the community which would be heated by electricity, first find the percentage of homes that are heated according to the U.S. Census :

= Number of houses heated / Total number

= 7 / 25

= 28 %

When given a community of 12, 000 homes therefore, the number of homes which would be heated are:

= Percentage of houses heated x Community size

= 28 % x 12, 000

= 3,360 homes

Find out more on homes heated at https://brainly.com/question/26441119

#SPJ1

Answer:

c. 3,360 homes

Step-by-step explanation:

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

About cups here:

https://brainly.com/question/29129490

#SPJ11

Answer:

1.11 and the tip is 2.78

Step-by-step explanation:

imagine having the whole like 19 the half is 9.5 and 1/4 is 4.75 you work your way down until you reach the 6 percent and get 1.11.

Answer:

2

Step-by-step explanation:

The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2

The rounded potential volume of the tank is approximately 348,700.9 cubic feet, making the approximate volume of the tank 348,700.9 cubic feet.

To calculate the potential volume of the tank (cylinder), we need to know the radius of the base. However, the given information only provides the circumference of the tank and the height. We can use the circumference to find the radius, and then use the radius and height to calculate the volume of the cylinder.

Let's proceed with the calculations step by step:

Step 1: Find the radius of the tank's base

The formula for the circumference of a cylinder is given by:

C = 2πr, where C is the circumference and r is the radius.

Given that the circumference is approximately 295.3 feet, we can solve for the radius:

295.3 = 2πr

Divide both sides by 2π:

r = 295.3 / (2π)

Calculate the value of r using a calculator:

r ≈ 46.9 feet

Step 2: Calculate the volume of the cylinder

The formula for the volume of a cylinder is given by:

V = π\(r^2h\), where V is the volume, r is the radius, and h is the height.

Substitute the values we have:

V = π(\(46.9^2)(40)\)

V = π(2202.61)(40)

Calculate the value using a calculator:

V ≈ 348,700.96 cubic feet

Step 3: Round the volume to the nearest tenth

The potential volume of the tank, rounded to the nearest tenth, is approximately 348,700.9 cubic feet.

Therefore, the potential volume of the tank is approximately 348,700.9 cubic feet.

For more such information on: volume

https://brainly.com/question/31439709

#SPJ8

Answer:

(x-6)(x+6) pairs with x^2-36

9x^2-1 pairs with (3x-1)(3x+1)

4(x+2)(x-2) pairs with 4x^2-16

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

Considering the direction of the wind, it is found that the jet travels faster than the sound during it's journey.

The jet's speed, considering that there is a tailwind, is given by:

J = Plane speed + Wind speed.

In this problem, we have that the speeds are given as follows:

Hence the jet's speed is given by:

J = 550 + 120 = 670 knots.

670 knots > 661 knots, hence the jet travels faster than the sound during it's journey.

A similar problem, involving plane and wind's speed, is given at brainly.com/question/25547425

#SPJ1

Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

To learn more about the mean and standard deviation visit:

brainly.com/question/475676

#SPJ4

Answer:

15/56

Step-by-step explanation:

5/8 x 3/7 = (5x3)/(8x7) = 15/56

Hope it helps!

Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

To know more about distance, visit:

https://brainly.com/question/31713805

#SPJ11

Answer:

A

Step-by-step explanation:

Third line SHOULD be

 -2(x^2-6x+9)   + 18 - 15

Then   -2(x-3)^2 +3    = 0

            -2(x-3)^2 = -3

               (x-3)^2 = 3/2

                   x-3 =  +- sqrt (3/2)

                    x = 3  +- sqrt (3/2)

Answer:

B)3

Step-by-step explanation:

I had this question on a test

To solve this question we will use the following diagram as reference:

To answer the question we have to find the missing side of the right triangle, using the Pythagorean theorem we get:

Where a, and b are the legs of the triangle, and c the hypothenuse.

Substituting a=84, and c=91 we get:

Answer: 35 ft.

The fraction form of 8 1/6 is 49/8 as the definition of fraction says, "An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided".

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction merely informs us of the number of parts that make up the whole. The slash that is written between the two numbers identifies a fraction. The numerator is the highest number, and the denominator is the lowest number. 1/2, for instance, is a fraction.

Here,

8 1/6=(6*8+1)/8

=49/8

According to the definition of a fraction, which states that it is "a number represented mathematically as a quotient, where the numerator and denominator are divided," the fraction form of 8 1/6 is 49/8.

To know more about fractions,

https://brainly.com/question/10354322?referrer=searchResults

#SPJ1

Identify the coordinates of the points A and B on the graph:

The attached graph will be used to identify the cordinates

Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate)

points A = (x,y)

points B = (x,y)

Therefore the coordinates of point A and B are

(a) The equation 5x^2 - 6xy^2z^2 = 7 in cylindrical coordinates can be expressed as:

ρ^2 cos^2(θ) - 6ρ^2 sin^2(θ)z^2 = 7,

where ρ represents the radial distance from the origin, θ denotes the azimuthal angle, and z represents the height coordinate.

(b) The equation z = 2x^2 - 2y^2 in cylindrical coordinates can be written as:

z = 2(ρ cos(θ))^2 - 2(ρ sin(θ))^2,

where ρ represents the radial distance from the origin, θ denotes the azimuthal angle, and z represents the height coordinate.

Cylindrical coordinates provide an alternative way to express points in three-dimensional space. In this system, a point is specified by its radial distance (ρ), azimuthal angle (θ), and height coordinate (z). These coordinates are related to the familiar Cartesian coordinates (x, y, z) through the following equations:

x = ρ cos(θ),

y = ρ sin(θ),

z = z.

The first equation relates the radial distance ρ and the azimuthal angle θ to the x-coordinate. The second equation relates them to the y-coordinate, and the third equation simply states that the z-coordinate remains the same. By substituting these equations into a given Cartesian equation, we can express it in cylindrical coordinates.

The transformation between Cartesian and cylindrical coordinates is widely used in various fields of science and engineering, particularly in problems involving rotational symmetry or cylindrical symmetry. Understanding these coordinate systems allows for more intuitive interpretations and simplifications of equations in different contexts.

Learn more about Equation

brainly.com/question/13763238

#SPJ11

Answer:

The answer is C

Step-by-step explanation:

The locations of the remaining vertices are at (−2, 2) and (−1, −1). The most specific classification of this parallelogram is a rectangle.

The correct option is (D).

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

Given:

Diagonal vertex = (0,1 )

One vertex of the parallelogram is located at (1, 3)

and, second vertex is located at (2, 0).

Now, Going from (0,1) to (2,4) is 2 units in x- axis, 3 units in y- axis.

So, the vertex opposite (2,4) would be -2 units in x- axis, -3 units in y- axis.

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

=(0-2, 1-3)

= (-2,-2)

and, Going from (0,1) to (3,1) is 3 units in x- axis, 0 units in  y- axis.

So the vertex opposite (3,1) would be -3 units in x- axis, 0 units in  y- axis.

= (0,1) + (-3,0)

= (-3,1)

Hence, The locations of the remaining vertices are at (−2, 2) and (-3, 1). The most specific classification of this parallelogram is a rectangle.

Learn more about Coordinates here:

https://brainly.com/question/15300200

#SPJ2

To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.

From the problem statement, we have the following information:

Equation 1: x + y = 14 (sum of the two numbers is 14)

Equation 2: xy = 38 (product of the two numbers is 38)

To solve this system of equations, we can use substitution or elimination method. Let's solve it using substitution:

From Equation 1, we can express y in terms of x by subtracting x from both sides:

y = 14 - x

Now we substitute this value of y into Equation 2:

x(14 - x) = 38

Expanding the equation, we have:

14x - x^2 = 38

Rearranging the equation to bring it to quadratic form:

x^2 - 14x + 38 = 0

Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our quadratic equation, the coefficients are:

a = 1, b = -14, c = 38

Substituting these values into the quadratic formula, we have:

x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))

x = (14 ± √(196 - 152)) / 2

x = (14 ± √44) / 2

x = (14 ± 2√11) / 2

Simplifying further, we have:

x = 7 ± √11

So we have two possible values for x: 7 + √11 and 7 - √11.

To find the corresponding values of y, we can substitute these values of x back into Equation 1:

For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11

For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11

Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).

To know more about Possible visit-

brainly.com/question/32730510

#SPJ11

From the data, i and iii can be determined. The solution has been obtained by using statistics.

What is statistics?

Statistics is defined as "classified facts indicating the situations of a population in a state, notably the facts that can be stated in numbers or any other tabular or classed arrangement".

We are given that a teacher has data representing the scores of thousands of students.

From this data, we can determine the average total points earned per student as we are given the total points calculation.

Also, we can determine the proportion of students who improved their total points as a result of the score replacement policy from the given data.

Hence, option C is the correct answer.

Learn more about statistics from the given link

https://brainly.com/question/15525560

#SPJ1

Answer:

Below in bold.

Step-by-step explanation:

Vertex form.

y = a(x - h)^2 + k

The point (h, k) is the vertex so from the graph:

y = a(x - 1)^2 - 8

From the x -interesect we see that x = 6 when y = 0 so

0 = a(6 - 1)^2 - 8

25a - 8 = 0

a = 8/25

So the vertex form is

y = (8/25)(x - 1)^2 - 8.

Factored form:

y = (8/25)(x + 4)(x - 6)  

- as -4 and 6 are the zeros of the equation.

Standard form:

From the factored form we have

y = (8/25)(x^2 - 2x - 24)

y = 8/25 x^2 - 16/25 x - 192/25

or (in decimal form):

y = 0.32x^2 - 0.64x - 7.68.

The area of the Heptagon is 32.6

What is Heptagon?

A polygon having 7 sides and 7 angles are called a heptagon. The term "septagon" may also be used to refer to the heptagon. A heptagon is formed when all of its sides come together end to end. Therefore,

The heptagon's sides total seven.

What Is Meant by Apothem?

Apothem is a line traced from any polygon's center to one of its sides' midpoints.

The apothem formula, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

Where,

a = apothem length

s = side length

n = number of sides of a polygon.

In the given question,

we have;

s = 7 inches;

a = 3 inches;

n = 7;

So,

The apothem, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

\(a=\frac{3}{2 \tan \left(\frac{180}{7}\right)}\)

so, The area of Heptagon is 7.\(\frac{3.7}{2}\)

The area of the Heptagon is 32.6

To learn more about heptagon, visit:

https://brainly.com/question/5361966

#SPJ4

Answer:a

Step-by-step explanation:

a

A rhombus is both a rectangle and a rhombus. All the sides are equal and each angle measure 90 degrees.

A quadrilateral is a polygon with four sides and and four angles. A rectangle has opposite sides parallel and equal. The angles of a rectangle all measure 90 degrees.

A rhombus has opposite sides parallel and equal. All sides of a rhombus are equal and opposite angles are equal.

A rhombus is both a rectangle and a rhombus. All the sides are equal and each angle measure 90 degrees.

Find out more on Quadrilateral at: https://brainly.com/question/23935806

Answer:

y=x-4

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

\(2x_1+6x_2\leq 30\\2(4)+6(5)\stackrel{?}{\leq}30\\8+30\stackrel{?}{\leq}30\\38\nleq30\)

Therefore, (4,5) is not a feasible point for the constraint