What rule can be used to find the next term of the arithmetic sequence

Final answer:

Points on the line 3x+5y=15 which are equidistant from the coordinate axes are (15/8, 15/8) and (-15/8, -15/8).

Explanation:

To find points on the line 3x+5y=15 that are equidistant from the coordinate axes, we need a point where the x and y coordinates are equal because the distances to the x-axis and y-axis from any point (x, y) are |x| and |y|, respectively. Since the line is equidistant from both axes, we require |x| = |y|.

Substituting y for x in the equation of the line, we get 3x + 5x = 15, which leads to 8x = 15, and therefore x = 15/8. Since we are looking for points equidistant from the axes, we have to check the signs of x and y to ensure they are at equal distances from both axes. Thus, the possible points are (15/8, 15/8) and (-15/8, -15/8).

Answer:

Seb should check if all is records are accurate and he should include all the transactions.

Step-by-step explanation:

When Seb reconciles his accounts, what is the first step he should take?

We can say that reconciling an account means proving that an account balance is correct.

For this, we need all the correct and accurate transactions and figures.

So, Seb should check if all is records are accurate and he should include all the transactions.

The factors of 40 are whole numbers that divide 40 without a remainder, including 1, 2, 4, 5, 8, 10, 20, and 40.

To find all the factors of 40, you need to identify all the whole numbers that can divide 40 without leaving a remainder. The factors of 40 are numbers that multiply together to give the product of 40. Here's how we can find them:

Therefore, the factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.

add 1 1/10  + 1 2/5

first get both fractions with the same bottom number: 2/5 = 4/10 ( multiply both numbers by 2)

so now you have  1 1/10 + 1 4/10 = 2 5/10

5/10 reduces to 1/2

 so answer is 2 1/2 inches, and since the level is going down it would be negative 2 1/2 inches

Answer:

-2 1/2 inches is your answer

Normally I am not one to make long answers

but if you want an explanation in case you have the same question with different numers, here is an explanation

Plug in the eequation and solve for x

Doing quick math the equation would be 8y-33 = 5y+9

I plugged this into m a t h w a y and got y=14

Then I subsituted y with 14

5 x 14 = 70 70 + 9 =79

Then I did a double check by making sure they were both equal

8 x 14 = 112   112 - 33 = 79

79 = 79

Therefore your answer is 79

Hope this helped, have a great day :)

To determine if two lines are perpendicular, we can calculate their slopes. The line through P(1,9) and Q(9,6) has a slope of -3/8, and the line through R(-6,0) and S(-9,8) has a slope of -8/3. The product of these slopes is -1, indicating that the lines are perpendicular.

To determine whether the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8), we can calculate the slope of each line. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: slope = (y2 - y1) / (x2 - x1).

For the line through P(1,9) and Q(9,6), the slope is (6 - 9) / (9 - 1) = -3/8.

For the line through R(-6,0) and S(-9,8), the slope is (8 - 0) / (-9 - (-6)) = 8/-3 = -8/3.

If the two lines are perpendicular, the product of their slopes should be -1. Let's check: (-3/8) * (-8/3) = 1. Therefore, the line through points P(1,9) and Q(9,6) is perpendicular to the line through points R(-6,0) and S(-9,8).

The reasonable solution is B) 1100 adults and 1400 students, as it satisfies both attendance and revenue criteria.

Consider a movie theater that sells student tickets for $5 and adult tickets for $10. On a Saturday night, 2,500 people attended the theater, and the total ticket sales amounted to $18,000. The goal is to determine the number of adults and students who attended, with multiple choices provided:

We can set up two equations to represent the information:

The total number of people who attended: S + A = 2500

The total ticket sales amount: 5S + 10A = 18000

Solving this system of equations gives the correct solution:

B) 1100 adults and 1400 students.

This solution satisfies both equations (S + A = 2500 and 5S + 10A = 18000). It is reasonable as it accounts for both students and adults attending, and the total revenue aligns with the given information. The number of students (1400) and adults (1100) adds up to the total attendance of 2500.

The given statement is true"If two angles share a vertex then they are adjacent".

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

If two angles in geometry share a side and a vertex, they are said to be adjacent. In other words, consecutive angles do not overlap and are placed side by side.

When an angle's vertex and side are shared by another angle, the two angles are said to be adjacent angles. The vertex of an angle is the point where the rays come to a stop and form the sides of the angle. When two adjacent angles share a vertex and a side, they can be either complementary or supplementary angles.

Thus, the given statement is true"If two angles share a vertex then they are adjacent".

Learn more about the angle here:

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Answer:

It would be an outlier

Step-by-step explanation:

The two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, two numbers whose difference is 168 and whose product is a minimum.

Suppose the two numbers are x and Q respectively.

If x - Q = 100, then Q = 100 + x

The function of their product is minimum,

F(x) = xQ

F(x) = x (100 + x)

F(x) = x² + 100x

Find the equation's lowest point on a graph. At x, the lowest point is -50,

f(x) = -2500

If,

Q = 100 + x

Q = 100 + (-50)

Q= 50

The product of the number is,

xQ = 50 × -50

xQ = -2500

Thus, the two numbers whose difference is 168 and whose product is a minimum will be -50 and 50.

Learn more about the equation here,

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Answer: [tex]\angle{J}=100^{\circ}[/tex]

Step-by-step explanation:

Given: △ABC≅△JKL,

m∠B=55°, and m∠L=25°

We know that if two triangles are congruent then their corresponding angles are equal.

∴ m∠A=m∠J

m∠B=m∠K=55°

m∠C=m∠L=25°

Now, by angle sum property in triangle JKL we have

[tex]\angle{J}+\angle{K}+\angle{L}=180^{\circ}\\\\\Rightarrow\angle{J}+55^{\circ}+25^{\circ}=180^{\circ}\\\\\Rightarrow\angle{J}=180^{\circ}-55^{\circ}-25^{\circ}\\\\\Rightarrow\angle{J}=100^{\circ}[/tex]

Answer:

the answer is d

Step-by-step explanation:

Answer: 8x8x8=512

Step-by-step explanation: