What is the value of 5 over 10

Given:

Cost of a game = $39.99

Shipping charge = $4.85

Let,

number of video games be "n"

Now,

total cost = (cost of each game * total no. of games) + shipping charge

              = $39.99n + $4.85

So, you use the above equation to find the total cost of video games.

Algebra has to do with the use of letters to represent variables in an equation.

Algebra has to do with the use of letters to represent variables in an equation. These variables are the unknown that we are supposed to find in the equation. The equation must be tailored in such a way that is possible to obtain the variables from the information provided in the question via a series of mathematical manipulations.

The following are the tiles showing the correct placement of the numbers;

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To find the value of a₅ in the power series solution, we can substitute the power series into the differential equation and equate the coefficients of like powers of x to zero.

Let's equate the coefficients of like powers of x to zero. For a₅, the coefficient of x⁵ should be zero:

5(5-1)a₅ - a₄ - 4a₅ = 0

Simplifying this equation:

20a₅ - a₄ = 0

Since we don't have the value of a₄, we cannot determine the exact value of a₅ from this equation alone.

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Answer:

7:4

Step-by-step explanation:

70 / 2 : 40 / 2

35:20

35 / 5 : 20 / 5

7:4

Answer:

X= 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two shapes are similar

As per similarity, the corresponding sides have same ratio. Knowing the ratio we can find the value of the side x:

The solutions to the triangle are given as follows:

We consider a triangle with side lengths and angles related as follows:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle A is given as follows:

m < A + 98 + 37 = 180

m < A = 180 - 135

m < A = 45º.

Hence the relations from the law of sines are given as follows:

sin(45º)/18 = sin(98º)/b = sin(37º)/c.

Hence the length b is given as follows:

sin(45º)/18 = sin(98º)/b

b = 18 x sine of 98 degrees/sine of 45 degrees

b = 25.2.

The length c is given as follows:

sin(45º)/18 = sin(37º)/c.

c = 18 x sine of 37 degrees/sine of 45 degrees

c = 15.3.

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Answer:

The slope of the line is 6/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 unit left and seven units up. I got the answer right on Kahn

Answer:

56

Step-by-step explanation:

Twenty Six, perhaps?

There are 420 ways to select a committee of 4 people with at least 2 women.

To solve these problems, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

To select a committee of 4 people from a pool of 12 people, we can use the formula:

C(12, 4) = 12! / (4! * 8!) = 495

So there are 495 ways to select a committee of 4 people without any additional criteria.

To select a committee of 4 people with 2 men and 2 women, we can first count the number of ways to choose 2 men from the 5 men and 2 women from the 7 women. This gives us:

C(5, 2) * C(7, 2) = (5! / (2! * 3!)) * (7! / (2! * 5!)) = 10 * 21 = 210

So there are 210 ways to select a committee of 4 people with 2 men and 2 women.

To select a committee of 4 people with at least 2 women, we can count the number of committees with exactly 2 women, 3 women, or 4 women, and add them together.

The number of committees with exactly 2 women is:

C(7, 2) * C(5, 2) = 21 * 10 = 210

The number of committees with exactly 3 women is:

C(7, 3) * C(5, 1) = 35 * 5 = 175

The number of committees with all 4 women is:

C(7, 4) = 35

So the total number of committees with at least 2 women is:

210 + 175 + 35 = 420

Therefore, there are 420 ways to select a committee of 4 people with at least 2 women.

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it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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a) The equation of the plane containing the points (1, 0, -1), (2, -1, 0), and (1, 2, 3) is x - 2y + z = 3.

b) Parametric equations for the line through (5, 8, 0) and parallel to the line through (4, 1, -3) and (2, 0, 2) are x = 5 + 2t, y = 8 + t, and z = -3t.

a) To find the equation of the plane containing the points (1, 0, -1), (2, -1, 0), and (1, 2, 3), we first need to find two vectors that lie on the plane. We can take the vectors from one point to the other two points, such as vector v = (2-1, -1-0, 0-(-1)) = (1, -1, 1) and vector w = (1-1, 2-0, 3-(-1)) = (0, 2, 4). The equation of the plane can then be written as a linear combination of these vectors: r = (1, 0, -1) + s(1, -1, 1) + t(0, 2, 4). Simplifying this equation gives x - 2y + z = 3, which is the equation of the plane containing the given points.

b) To find parametric equations for the line through (5, 8, 0) and parallel to the line through (4, 1, -3) and (2, 0, 2), we can take the direction vector of the parallel line, which is v = (2-4, 0-1, 2-(-3)) = (-2, -1, 5). Starting from the point (5, 8, 0), we can write the parametric equations as follows: x = 5 - 2t, y = 8 - t, and z = 0 + 5t. These equations represent a line that passes through (5, 8, 0) and has the same direction as the line passing through (4, 1, -3) and (2, 0, 2).

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Correct question:

(a) Find an equation of the plane containing the points (1,0,-1), (2, -1,0) and (1,2,3). (b) Find parametric equations for the line through (5,8,0) and parallel to the line through (4,1, -3) and (2,0,2).

Vector equation of the line L: r = P₀ + td, where r is a position vector on the line, t is a scalar parameter, and d is the direction vector.

a) To determine the vector equation and scalar parametric form of the line L, we can use the point-direction form of a line. Given: Point on the line: P₀ = (2, -5, 3), Direction vector: d = 2i + 2j + k. Vector equation of the line L: r = P₀ + td, where r is a position vector on the line, t is a scalar parameter, and d is the direction vector. Substituting the values: r = (2, -5, 3) + t(2i + 2j + k). Scalar parametric form of the line L: x = 2 + 2t, y = -5 + 2t

z = 3 + t

b) To find the point of intersection between the line L and the plane A, we need to substitute the values of x, y, and z from the scalar parametric form of the line into the equation of the plane. Given: Equation of plane A: x - 3y + 2z = -1. Substituting the scalar parametric form of the line into the equation of the plane: (2 + 2t) - 3(-5 + 2t) + 2(3 + t) = -1. Simplifying the equation: 2 + 2t + 15 - 6t + 6 + 2t = -1, 10t = -24, t = -2.4, Substituting the value of t back into the scalar parametric form of the line, we can find the point of intersection: x = 2 + 2(-2.4) = -0.8, y = -5 + 2(-2.4) = -10.8, z = 3 + (-2.4) = 0.6

Therefore, the point of intersection between the line L and the plane A is (-0.8, -10.8, 0.6). c) To find the distance between plane A and plane B, we can use the formula for the distance between two parallel planes. The formula states that the distance between two parallel planes Ax + By + Cz + D₁ = 0 and Ax + By + Cz + D₂ = 0 is given by: Distance = |D₂ - D₁| / √(A² + B² + C²). Given: Equation of plane A: x - 3y + 2z = -1, Equation of plane B: -x + 3y - 2z = -13.

Comparing the equations, we have: A = 1, B = -3, C = 2, D₁ = -1, D₂ = -13. Plugging these values into the distance formula: Distance = |-13 - (-1)| / √(1² + (-3)² + 2²), Distance = |-12| / √(1 + 9 + 4), Distance = 12 / √14. Therefore, the distance between plane A and plane B is 12 / √14.

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Answer:

The Giraffe has a weight which is 3 times that of the Gorilla

Step-by-step explanation:

Here, we are interested in calculating the number of ways in which the giraffe’s weight is greater than the gorillas

From the question, the weight of the giraffe is 4.5 * 10^3 pounds

The weight of the Gorilla is 150 pounds

So, the number of ways it will be greater will be;

(4.5 * 10^3)/150 = 4500/150 = 30 times

The Giraffe is 3 times the weight of the Gorilla

Answer:

200

Step-by-step explanation:

15% is 0.15

0.15x = 30

x = 30/0.15 = 200

Answer:

b, 24

Step-by-step explanation:

Answer:

Infinite solutions

Step-by-step explanation:

you add 2x to both sides of the bottom equation and then BAM they are coinciding

Answer:

-4

Step-by-step explanation:

No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

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n(p(a)) = 256

256 = 2^8

n(a) = 8

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The correct answer is B, Guadalupe has 4 notebooks.

Let n = the number of notebooks Guadalupe has. Then, we can write an equation based on the given information: 6n - 3 = 21

Solving for n, we add 3 to both sides and then divide by 6:

6n = 24

n = 4

Therefore, Guadalupe has 4 notebooks.

To check our answer, we can plug in n = 4 into the original equation and see if it matches the given information:

6n - 3 = 21

6(4) - 3 = 21

24 - 3 = 21

21 = 21

Since both sides are equal, we can be confident that our answer of n = 4 is correct.

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Answer:

63 cm^2.

Step-by-step explanation:

Total Area = area rectangle + area of triangle on right + area of triangle at the top.

= 6 * 8 + 1/2 * 1 * 6 + 1/2 * 8 * 3

= 48 + 3 + 12

= 63 cm^2.

Answer:

890 if it’s 178 bags per garden bed

Step-by-step explanation:

since 1 raised garden bed is supposedly 178 bags, 5 would be 890 since it’s just 5x178. if it’s not 178 bags (which would make sense since 178 is a big number), just multiply 5 by that number and if it’s a decimal round up to the next whole number if it’s about how many bags Bismah needs to buy, since you can’t by 1/2 of a bag

Bismah will need a total of 890 bags of soil for all the 5 raised garden. beds.

Multiplication is one of the basic operations in mathematics where a number is added repeatedly to itself up to the times as the value of the other number.

That is, if a number p is multiplied to another number q, p × q, implies that p is added repeatedly to itself q times or q is added repeatedly to itself up to p times.

Number of garden beds Bismah has raised = 5

Number of bags of soil needed for a garden bed = 178 bags

Number of  bags of soil needed for 5 garden bed = 178 × 5 bags

                                                                                   = 890 bags

Hence Bismah would need 890 bags of soil for the 5 raised garden beds in the community garden.

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The number of cars needed for both repairs and needed new brakes, but not a new exhaust system will be 13 and 10, respectively.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

At Auto Shop, 50 vehicles were investigated. 23 of the vehicles required new brakes (A), 34 required new fumes frameworks (B), and 6 vehicles required neither fix.

The number of cars that needs new brakes and new exhaust systems will be calculated as,

AUB = 50 - 6

AUB = 44

The number of cars needed for both repairs will be given as,

A∩B = A + B - AUB

A∩B = 23 + 34 - 44

A∩B = 13

The number of cars that needed new brakes, but not a new exhaust system will be given as,

⇒ 23 - 13

⇒ 10

The number of vehicles required for the two fixes and required new brakes, however not another exhaust framework will be 13 and 10, individually.

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Answer:

first ma 8x+4y and bic ma 6x +5y last ma -2x+y

The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

Given,

In the question:

Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.

Now, According to the question:

Your grandmother is 87 years old and she told you that all of her friends are women. There is no single man in her circle of friends. She also told that it is rare to see a man over the age of 85. It is because of the fact that women are more in number than man above the age of 85 and this ratio is like 100 men per 200 women, which means the chances of getting a male friend is almost half after the age of 85. So women are more in number than men.

Hence, The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

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