The apartments in Brian's apartment house are numbered consecutively on each floor. The sum of his number and his next-door neighbor's number is 1419. What are the two numbers?

The step that would not be necessary in solving 5x + 15 + 2x = 24 + 4x is D. Use the distributive property.

An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.

To solve the equation 5x + 15 + 2x = 24 + 4x, we need to simplify and manipulate the equation to isolate the variable on one side.

First, we can combine like terms:

5x + 2x - 4x = 24 - 15

3x = 9

Then, we can isolate x by dividing both sides by 3:

x = 3

Therefore, the correct steps to solve this equation are:

B. Collect variable terms on one side.

C. Collect like terms.

A. Isolate the variable.

We do not need to use the distributive property in this problem.

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Answer:

Step-by-step explanation:

y=3.14x

Answer:

[tex]10^5 * 10^6 = 10^{5+6} = 10^{11}[/tex]

Step-by-step explanation:

find the product of 100,000 and 1,000,000 using scientific notation

All whole numbers have a decimal point at the end

convert each number into scientific notation. To get scientific notation move the decimal point after 1

100000.  -----> 1.00000 ----> 1* 10^5 ----> 10^5

1000000.  -----> 1.000000 ----> 1* 10^6 ----> 10^6

a^m * a^n = a^m+n

[tex]10^5 * 10^6 = 10^{5+6} = 10^{11}[/tex]

Thank you so much T-T

Option C is correct. The required product of the functions is  -3x³ - 3x² + 7x + 2

Given the functions (x+2) and (-3x² + 3x + 1)

Taking the product of the functions:

= (x+2)(-3x² + 3x + 1)

Expand the bracket

= x(-3x²) + x(3x) + x(1) + 2(-3x²) + 2(3x) + 2(1)

= -3x³ + 3x² + x - 6x² + 6x + 2

Collect the like terms;

= -3x³ + 3x² - 6x²+ x + 6x + 2

= -3x³ - 3x² + 7x + 2

Hence the required product of the functions is  -3x³ - 3x² + 7x + 2

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The mathematics question asks to multiply the numbers 375 and 6. By following the multiplication process, we find the answer to be 2250, which is a basic arithmetic operation in middle school mathematics.

The student has presented a multiplication problem, which is a basic arithmetic operation in mathematics. The problem can be solved by multiplying the two numbers given, 375 and 6. The calculation goes as follows:

Multiply the digit in the one's place of the bottom number (6) by each digit of the top number (375), starting from the one's place of the top number.

Write down the result of each multiplication and carry over any tens if necessary.

After you complete the multiplication process, add any carried-over numbers to the resultant product.

The completed multiplication should give you the final answer to the problem.

Example Calculation:

375

x    6

------

  2250

Here, the answer to the multiplication problem is 2250.

Answer:

10 meters per second

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

The best representation would be 10 meters per second. Usain Bolt, The fastest person person alive runs at approximately 12.5 meters per second.

10 miles per minute would be insanely fast. That is equivalent to 600 miles per hour, no human can run at that speed. Cars do not even reach that speed. Same goes for 10 kilometers per second.

10 centimeters per hour is incredibly slow. Although 470 times faster than a snail it is incredibly slow for a human.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

9.3% of North Carolina is covered in water.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

To find the percent of North Carolina covered in water, we need to subtract the land area from the total area, and then express the result as a percentage.

The water area is:

53,800 - 48,800 = 5,000 square miles

To express this as a percentage, we need to divide the water area by the total area and then multiply by 100:

(5,000 / 53,800) x 100 = 9.3%

Therefore, 9.3% of North Carolina is covered in water.

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Given: the triangle is a right triangle, find a. 

(The side opposite angle A.)

Answer:

a = 8.8104 ≈ 8.8

Step-by-step explanation:

∠A = ?, ∠B = 51°, ∠C = 90°

∠A = 180° - ( ∠B + ∠C )

∠A = 180° - ( 51° + 90° ) = 180° - 39°

∠A = 39°

[tex]\frac{a}{sin A}=\frac{b}{sin B} =\frac{c}{sin C}\\\\\frac{a}{sin39degrees}=\frac{14}{sin90degrees}\\\\\frac{14}{sin90degrees}*sin39degrees\\\\= 14 * 0.629\\= 8.8104[/tex]

So side a or BC = 8.8

Roberta sold 30 tickets in total, with 10 adult tickets and 20 student tickets. The cost of a student ticket was $3. Ken collected $200 in total and sold 20 student tickets.

To solve this problem, we can set up two equations based on the given information. Let's use variables to represent the unknown quantities.

Let's say the cost of an adult ticket is A dollars. Then the cost of a student ticket would be 3/4 of A dollars, or (3/4)A dollars.

Based on the information given, we can set up the following equations:

Robera sold 10 more student tickets than adult tickets, so let's say she sold X adult tickets and X + 10 student tickets.

The total collected by Roberta was $212.50, so we have the equation:

(A * X) + ((3/4)A * (X + 10)) = $212.50

Ken sold 50 tickets in total, so he sold 50 - (X + 10) student tickets. The total collected by Ken was $200, so we have the equation:

((3/4)A * (50 - (X + 10))) + (A * X) = $200

Now we can solve these equations to find the values of X and A.

Plugging in A = 4, we get X = 10. Therefore, Roberta sold 10 adult tickets and 20 student tickets. The cost of a student ticket was (3/4) * 4 = $3.

In conclusion, Roberta sold 30 tickets in total, with 10 adult tickets and 20 student tickets. The cost of a student ticket was $3. Ken collected $200 in total and sold 20 student tickets.

Answer:

4mph

5mph

slower

Step-by-step explanation:

i did it

To calculate the average rate of change, divide the total change in distance by the total change in time. Without the specific distance covered in the given durations, it's impossible to provide absolute answers, but an example calculation has been given using an average speed of 9.5 mph.

In your question, the average rate of change refers to the change in distance with respect to time, also known as velocity or speed. Since there are no concrete values mentioned in your question for the distances covered by a runner between time 0.5 and 2 hours, and 1.5 to 2.5 hours, it would be impossible to provide an accurate answer without such data.

However, allow me to explain how you could calculate these values. If you assume that a runner has the marathon runner's average speed of 9.5 miles per hour, then the average rate of change, or average speed, over a certain time period is just the total change in distance divided by the total change in time. For instance, if the runner covered 9.5 miles between 0.5 and 2 hours, then the average rate of change would be 9.5 miles per 1.5 hours, or approximately 6.33 mph. This same method would apply to calculations between 1.5 and 2.5 hours.

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The sequence is given below:

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given:

The table showing the sequence of the first 15 terms is:

Sequence     Term                        Quotient

1                         2                                2

2                       1                               2 (2 / 1)

3                     3 (2 + 1)                  0.333 (1 / 3)

4                    4 (1 + 3)                  0.750 (3 / 4)

5                    7 (3 + 4)                  0.571 (4 / 7)

6                    11 (4 + 7)                0.633 (7 / 11)

7                    18 (7 + 11)               0.611 (11 / 18)

8                    29 (11 + 18)             0.621 (18 / 29)

9                    47 (18 + 29)             0.617 (29 / 47)

10                  76 (29 + 47)            0.618 (47 / 76)

11                  123 (47 + 76)            0.618 (76 / 123)

12                 199 (76 + 123)          0.618 (123 / 199)

13                 322 (123 + 199)         0.618 (199 / 322)

14                521 (199 + 322)         0.618 (322 / 521)

15                 843 (322 + 521)         0.618 (521 / 843)

The quotient converges around the value of 0.618, as shown in the above table.

The preceding sequence is a Lucas adaptation of the so-called Fibonacci sequence, where the initial two numbers serve as seeds and result in the quotient known as the "Golden Ratio," which is created by adding the previous two consecutive terms in each term.

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see the attached figure to better understand the problem

we know that

the area of the figure is the area of the square minus the areas marked with x

area of the square is equal to

[tex]A1=8*8=64\ ft^{2}[/tex]

the areas marked with x is equal to

[tex]A2=15\ ft^{2}[/tex]

so

the area of the figure is

[tex]A=A1-A2 \\ A=64-15=49\ ft^{2}[/tex]

therefore

the answer is

[tex]50\ ft^{2}[/tex]

Answer: here is the k12 test answer

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

its asking in "simplest terms" so you would divide the number of marbles Kyle has by the 50 red marbles. 125 divide by 50 is 2.5 which equals to 2/5.

So 2/5 will be your answer. Hope this helps <3

Answer:

Step-by-step explanation:

Given that the sophomore class sold a total of 700 adult and student tickets to the school play. adult tickets sold for $4.50 each, and student tickets cost $2.00 each.

Total = 1200

x, the number of student tickets sold, and y, the number of adult tickets sold

Then we have

[tex]x+y =700\\4.5x+2y = 1200[/tex]

These are the system to solve for x

The shorter base of the isosceles trapezoid is approximately 6 cm.

To find the shorter base of the isosceles trapezoid, we need to use the properties of the trapezoid. Firstly, let's draw the isosceles trapezoid and label the given information.

The longer base is 12 cm, the side is 5 cm, and the acute angle is 37º. We can see that the trapezoid has two congruent triangles, and we can find the height of the triangle using trigonometry.

Step 1: Find the height of the triangle using the sine of the acute angle.

sine(37º) = opposite / hypotenuse

sin(37º) = h / 5

h = 5 * sin(37º) ≈ 3 cm

Step 2: Use the height to find the shorter base of the trapezoid.

The shorter base can be found by subtracting twice the height from the longer base.

shorter base = longer base - 2 * height

shorter base = 12 cm - 2 * 3 cm

shorter base = 12 cm - 6 cm

shorter base ≈ 6 cm

Therefore, the shorter base of the isosceles trapezoid is approximately 6 cm.

We can actually solve this problem using the cosine law. We know that Gustavo ran 23° above the horizontal, while Aiden ran 33° below, hence the total angle between them is 56°. Therefore the distance between them is:

c^2 = a^2 + b^2 – 2 a b cos θ

c^2 = (300)^2 + (250)^2 – 2 (300) (250) cos 56

c^2 = 68,621.06

c = 262 m

They are 262 meters apart.

Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal. So, they are 262 meters apart.

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.

The total angle between them = 23 + 33 = 56°.

Let the distance between them be c. by using cosine law we have,

c² = a² + b² – 2ab cos θ

Where a and b are distances traveled by Gustavo and Aiden. θ is the angle between them.

Therefore,

[tex]c^2 = a^2 + b^2 - 2 a b cos \theta[/tex]

[tex]c^2 = (300)^2 + (250)^2 -2 (300) (250) cos 56[/tex]

[tex]c^2 = 68,621.06[/tex]

c = 262 m

Thus, the distance between them is 262 meters.

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