15:10 equals 12: how do i figure this out

The complete line ratio AB : BC : CD is 6 : 2 : 5

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

AB : BD = 2 : 3

AC : CD = 2 : 1

Rewrite them as

x ⇒ AB : BD = 2 : 3

y ⇒ AC : CD = 2 : 1

These ratios can be represented using the following equation

2x + 3x = 2y + y

Evaluate the sum

5x = 3y

Simplify

x = 3/5y

So, we have

AB : BC : CD

This gives

AB : CD - BD : CD

So, we have

2x : y - x : y

Solving further, we have

2 * 3/5y : y - 3/5y : y

Evaluate

6/5y : 2/5y : y

Multiply through by 5

6y : 2y : 5y

Divide through by y

6 : 2 : 5

Hence, the ratio is 6 : 2 : 5

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The correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.

Explanation:

Given that, a set of n=15 pairs X and Y values has a Pearson correlation of r=0.10. And, in each of the X values were multiplied by 2, then we need to calculate the correlation for the resulting data.

When each of the X values is multiplied by 2, then the resulting correlation does not change. It is because the correlation coefficient of Pearson, r, only measures the linear relationship between two variables and not the scale of the variables.

Thus, the correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.

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Answerdollars and kids at :

250 adult tickets were sold. 225 kid tickets were sold.

Step-by-step explanation:

set it up like a table.  you already know how many tickets were sold. 475. you know the adult tickets are valued at 3 dollars and kids at 2. and you know they collected 1200.00

x( represents adults) + y (represents kids) = 475 in tickets

3x + 2y=1200 collected

x= 475 - y

3(475-y) + 2y = 1200

1425- 3y + 2y=1200

3y + 2y= 1425-1200

y=225 which is  number of kid tickets sold

take the 475 total ticket minus the number of kid tickets 225 to get the adult tickets sold. 250

hopes this helps. I could not figure out how to set it up in a table format.

Answer:

Result for Inequality expression 1:

\(x < 5\)

Result for Inequality expression 2:

\(x \geq -3\)

Step-by-step explanation:

-Inequality expression 1:

\(2x - 3 < 7\)

-Inequality expression 2:

\(5 - x \leq 8\)

-Solve inequality expression 1:

\(2x - 3 < 7\)

\(2x - 3 + 3 < 7 + 3\)

\(2x < 10\)

\(\frac{2x}{2} < \frac{10}{2}\)

\(\boxed {x < 5}\)

-Solve inequality expression 2:

\(5 - x \leq 8\)

\(5 - 5 - x \leq 8 - 5\)

\(- x \leq 3\)

\(\frac{-x}{-1} \leq \frac{3}{-1}\)

\(\boxed {x \geq -3}\) (inequality sin changed by divide by a negative integer or variable)

The following inequality represents the solution set -

-3 ≤ x < 5.

We have the following compound inequality -

2x – 3 < 7

5 – x ≤ 8

We have to solve for x.

A compound inequality (or combined inequality ) is two or more inequalities joined together with OR or AND. There are two types of compound inequalities in the form of conjunction problems and disjunction problems.

According to the question, we have -

2x – 3 < 7

Add 3 on both sides -

2x - 3 + 3 < 7 + 3

2x < 10

Divide both sides by 2, we get -

x < 5

5 – x ≤ 8

Subtract 5 on both sides -

5 - x - 5 ≤ 8 - 5

- x ≤ 3

Multiply both sides by '-1' -

x ≥ -3

Combining both solutions, we can write it as -

-3 ≤ x < 5

Hence, the following inequality represents the solution set -

-3 ≤ x < 5

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Answer:

1/8

Step-by-step explanation:

one yellow will be selected from 8 others is the probability

The corresponding point in cylindrical coordinates is (1.54, -2.57, 9).

Cylindrical coordinates are given by (ρ, φ, z), where ρ is the distance from the origin to the point in the xy-plane, φ is the angle between the positive x-axis and the line from the origin to the point, and z is the height above the xy-plane. The conversion from cylindrical to rectangular coordinates is given by:
x = ρcos(φ)
y = ρsin(φ)
z = z

Conversely, the conversion from rectangular to cylindrical coordinates is given by:
ρ = sqrt(x^2 + y^2)
φ = arctan2(y, x)
z = z

For example, given the cylindrical coordinates (2, − 3 2, 9), the corresponding rectangular coordinates are:

x = 2cos(- 3 2) = 1.54
y = 2sin(- 3 2) = -2.57
z = 9

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The value of t increases, the volume of water (V) also increases proportionally. Similarly, if the value of t decreases, the volume of water (V) also decreases proportionally

In a mathematical relationship, there are two types of variables, namely independent and dependent variables. An independent variable is a variable whose value can be changed freely without depending on any other variable, whereas a dependent variable is a variable whose value is dependent on the value of another variable.

In the given situation, the time (t) and the volume of water (V) are the two variables. Time (t) is the independent variable as its value can be changed freely without depending on the volume of water (V). On the other hand, the volume of water (V) is the dependent variable as its value is dependent on the time (t) it takes to fill the water tank. In simpler terms, the volume of water (V) depends on how long it takes to fill the tank (t).

Therefore, both V and t are independent variables.In this situation, the mathematical formula that shows the relationship between the two variables is given by;V = k/twhere k is a constant value representing the volume of water that flows into the tank per unit time. In this situation, the value of k is obtained by dividing the volume of water (V) by the time (t) it takes to fill the tank. Therefore, the value of k is given by;k = V/tSubstituting the value of k in the equation V = k/t gives;V = (V/t)tV = VThis shows that the relationship between V and t is direct and proportional.

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Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

Answer:

209

Step-by-step explanation:

march = 19 miles

april = 19 times 2 = 38

may = 38 times 4 = 152

so that'd be 19 + 38 + 152 = 209 miles in total.

209 miles Mateo ran in the three months.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

Mateo ran in March = 19 miles,

Also,

Mateo ran in April = 2 times of ran in March = 2 x 19 = 38 miles

Mateo ran in May = 4 times of ran in April = 4 x 38 = 152 miles.

Total distance ran by Mateo in all three months

= ran in March + ran in April + ran in May

= 19 + 38 + 152

= 209 miles.

Mateo ran 209 miles in all three months.

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Answer:

Step-by-step explanation: h = -2t + 25

2t = the distance the glider will pass descending with constant speed of 2 m/s (distance = speed*time)

25 = the initial height that will decrease by the distance that the glider will pass while descending during time t

The equation that could be used to find x, the number of bikes the store had originally, is (x-94) = 0.

According to the question,

We have the following details:

Bill has sold 36 bikes and is left with 58 bikes more.

Now, the number of bikes the store had originally is given to be x.

So, we have:

x = Number of bikes sold + Number of bikes left

x = 36+58

x = 94

x-94 = 0 (94 was positive on the right hand side. So, it is negative on the left hand side.)

Hence, the equation that could be used to find number of original bikes in Bill's store is x-94 = 0.

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the area of the transformed ellipse is 3π.

To find the area of , we need to first transform the ellipse using the matrix
To do this, we will apply the matrix to each point on the ellipse. Let (x, y) be a point on the ellipse. Then, applying the matrix gives us:

Simplifying this expression, we get:

This is the equation of an ellipse centered at the origin, with semi-major axis a = 3 and semi-minor axis b = 1. To find the area of this transformed ellipse, we can use the formula for the area of an ellipse:

Area = πab

Plugging in the values of a and b, we get:

Area = π(3)(1) = 3π

Therefore, the area of the transformed ellipse is 3π.
It seems that the question is incomplete, as there are missing terms and no specific matrix mentioned. Please provide the complete question, including the terms and matrix, so I can provide an accurate and concise answer.

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Answer:

the answer should be 126

Step-by-step explanation:

when you are looking for the area you multiple all of them so i should be right

Answer:

76.5

Step-by-step explanation:

6+3=9

1/2b*h

1/2*9*3=13.5

7*9=63

13.5+63=76.5

=76.5

Every line on the graph is 1/2 unit.

When y = 0, x would be -0.25 and 1.25

When y = 2, x would be -0.5 and 1.5

This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.

To devise an algorithm that finds all terms of a finite sequence of integers that are greater than the sum of all previous terms of the sequence, follow these steps:

Start by defining the input sequence as a list or an array of integers. Let's call it `sequence`.

Initialize an empty list or array called `results` to store the terms that meet the condition.

Initialize a variable called `sum_of_previous_terms` and set its value to 0. This variable will be used to store the sum of all previous terms in the sequence as we iterate through it.

Loop through the sequence using a for loop, comparing each term with the sum of all previous terms.
  a. For each term in the sequence, compare it with the value of `sum_of_previous_terms`.
  b. If the term is greater than `sum_of_previous_terms`, add it to the `results` list or array.
  c. Update the value of `sum_of_previous_terms` by adding the current term to it.

Continue the loop until all terms in the sequence have been checked.

After the loop is completed, return the `results` list or array, which contains all the terms that meet the condition.

Here is the algorithm in a more concise form:

Input: `sequence` (a list or array of integers)

Initialize: `results` (an empty list or array), `sum_of_previous_terms` (0)

For each term in `sequence`:
  a. Compare the term with `sum_of_previous_terms`
  b. If term > sum_of_previous_terms, add term to `results`
  c. Update `sum_of_previous_terms` with the current term

Return `results`

This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.

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The difference of the numbers of cookies produced by production lines A and B in a day is 280 cookies.

When two algebraic expressions are equated, a mathematical statement is called an algebraic equation. P = 0 or P = Q, where P and Q are polynomials, are the generic forms of algebraic equations. One variable only algebraic equations are referred to as univariate equations, while multiple variable algebraic equations are referred to as multivariate equations. A balanced equation in algebra is a given. Because of this, the right side of the equation will equal the left side.

Let the cookies produced by production line A = x.

Let the cookies produced by production line B = y.

Given that, the two production lines produce 7280 cookies in total each day.

x + y = 7280

Also, production line A produces 8% more cookies than production line B.

x = y + y(8/100)

x = y + 0.08y

x = 1.08y

The system of equations thus are:

x = 1.08y

x + y = 7280

Substitute the value of x in equation 2:

x + y = 7280

1.08y + y = 7280

2.08y = 7280

y = 3500

Substitute the value of y in equation 2:

x + y = 7280

x + 3500 = 7280

x = 3780

The difference between the cookies produced is:

D = x - y

D = 3780 - 3500

D = 280

Hence, the difference of the numbers of cookies produced by production lines A and B in a day is 280 cookies.

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Answer:

k = -18

Step-by-step explanation:

If x-3 is a factor, what this means is that if we substitute;

x = 3 into the equation, we should get 0

This is from the factor theorem

Thus ;

P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k

0 = 54 - 45 + 9 + k

k + 18 = 0

k = -18

Answer:

The range is 13.

Step-by-step explanation:

The definition of the range is to subtract the largest number from the smallest number. Looking at this set of numbers, the largest number is 30, and the smallest number is 17. When you subtract 30 - 17 you end up with 13.

Hope This helped :)

Answer:

13

Step-by-step explanation:

For a mass m=2, spring constant k=3, and damping constant c=1, the system is underdamped. To make it critically damped, c should be √(4mk) = √(4*2*3) = 4.


a) To find the general solution, we use the second-order differential equation: mx'' + cx' + kx = 0, where x'' is acceleration, x' is velocity, and x is displacement.

With given values, the equation becomes: 2x'' + 1x' + 3x = 0.

b) To determine the damping condition, we calculate the discriminant Δ: Δ = (c²) - 4mk = (1²) - 4(2)(3) = 1 - 24 = -23. Since Δ < 0, the system is underdamped.

c) To find c for a critically damped system, we use the equation: c = √(4mk). Plugging in m=2 and k=3, we get c = √(4*2*3) = 4.

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Answer:

It is the 3rd option

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

You add the # of students that picked the museum and factory together. You then want to remember this formula when finding percentages.

# Of students choosing choice /Total # of students/items together

if this was set up this is what it would look like

21/50 = 42%

Answer:

\(2 {x}^{2} - 8\)

hope it's helpful ❤❤❤

THANK YOU.

Answer:

2x² - 8

Step-by-step explanation:

Given

(x - 2)(2x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 4) - 2(2x + 4) ← distribute both parenthesis

= 2x² + 4x - 4x - 8 ← collect like terms

= 2x² - 8

The value for p is 30.

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Step-by-step explanation:

m < CAD = 180 - ( 40 + 57 ) = 83

The center of the circle coincides with the center of hexagon. Distance from center of circle to any of its vertices is equal to radius of the circle. The hexagon is formed by connecting the adjacent vertices of the circle.

A regular hexagon has six equal sides and six equal angles. To circumscribe a regular hexagon about a circle, we place the center of the hexagon at the center of the circle. This means that the distance from the center of the circle to any of its vertices is equal to the radius of the circle. Each vertex of the hexagon will be located on the circumference of the circle.

To construct the hexagon, we connect the adjacent vertices of the circle using straight lines. This creates six equal sides and six equal angles, resulting in a regular hexagon that is circumscribed about the circle.The circumscribed hexagon is tangential to the circle, meaning that each side of the hexagon is tangent to the circle at a single point.By circumscribing a regular hexagon about a circle, we can establish a geometric relationship between the hexagon and the circle, utilizing the properties of both shapes.

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The commission amount is $60 with the rate at 8% of earned sales amount $750.

Percentage means one part of every cent or hundred. And it is represented by symbol '%'.

Given that sales = $750 ,

and the commission rate is 8% .

Now to find the commission , we find 8% of $790

    = 750 x 8 / 100

    = 6000 / 100

    = $60

Therefore, the commission amount is $60 with the rate at 8% of earned sales amount $750.

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Answer:

-x2 + 50 = 25

5x<0

2x <10

Step-by-step explanation:

I hope the answer satisfies you

Answer:

D: 11

Step-by-step explanation:

When I evaluated the expression, I got 11.

Hope it helps! :D

Answer:

r = 9.5ft

Step-by-step explanation: