30x+50y=420
15x+35y=270
Use Elimination method

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer:

$7.75

Step-by-step explanation:

Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5

To find: How much the adult tickets are

Solution: Use the 5 tickets at $5 to get $25

Add the $15 for concessions to reach $40

                            25 + 15 = 40

Subtract $40 from the 71 spent to get $31

                            71 - 40 =  31      

Now, divide the 31 by 4 for the number of adults which equals $7.75

                             31 ÷ 4 = 7.75

So, the cost of the adults' tickets is $7.75

Answer:

8000-6=7994 is the required number

Answer:

A. The slope of Function A is greater than the slope of Function B.

Step-by-step explanation:

The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.

Step-by-step explanation:

154 is my answer thank you

Answer:

aquifer=b

Step-by-step explanation:

aquifer =

b edgu 2020



Using balanced billing, the monthly payment is $278

Using balanced billing to determine their monthly payment, we simply need to divide their total annual payment by the total number of months in a year. This will result to dividing the entire annual bill by 12 to determine the monthly payment.

Given that the Ross family spent $3,336 for electricity last year, we can calculate their monthly payment as follows:

Monthly payment = Total cost / Number of months

Monthly payment = $3,336 / 12

Monthly payment  = $278

Therefore, the Ross family's monthly payment for balanced billing will be approximately $278.

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The distance that the plane flies between the two cities is 2475 miles.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Time taken = distance covered / velocity

In the first case ;

Time taken = 5 hour.

Velocity = V(Let's say)

Distance covered = x

So,

5 = x/V

x = 5V

Now,

In the second case ;

Velocity = V - 99 (99 slower to first)

Time taken =  6 hours and 15 minutes = 6.25 hour

Distance covered = x

So,

6.25 = x/(V - 99)

x = 6.25V - 618.75

By equating

6.25V - 618.75 = 5V

1.25V = 618.75

V = 495 miles / hour

Now,

x = 5(495) = 2475 miles.

Hence "The distance that the plane flies between the two cities is 2475 miles".

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If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.

As per the question statement, 31 horses are competing in a show.

We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.

To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.

That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.

To solve this question, we just need to know the formula of permutation which goes as \([(nPr)=\frac{n!}{(n-r)!} ]\),  i.e., we are to select an ordered set or "r" from a set of "n".

As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get

\((31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.\)

That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.

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The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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Answer:

part of it is cutted out show a better picture please ill answer it

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

-12.5 - (-12) = -12.5 + 12 (because you distribute the minus sign). Then, when adding you get - 0.5

Answer:

-0.5

Step-by-step explanation:

-12.5-(-12)

-12.5 + 12

-0.5

Answer:

\(x = 1500\)

Step-by-step explanation:

\( \frac{x}{10} = 150\)

Move 10 to multiply 150.

\(x = 150 \times 10 \\ x = 1500\)

Answer Check

Substitute x = 1500 in the equation.

\( \frac{1500}{10} = 150 \\ 150 = 150\)

The equation is true for x = 1500.

Therefore, the answer is x = 1500

A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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Answer:

86

Step-by-step explanation:

Answer: It could be B.

Step-by-step explanation:

Answer:

A. In vertex form, f(x) = 2(x - 2)² +1 and therefore has a minimum value of 1.

Step-by-step explanation:

Function is given as;

f(x) = 2x² - 8x + 9

From quadratic formula, we know that;

a = 2

b = -8

c = 9

Now, x-coordinate of the vertex is;

x = -b/2a

x = -(-8)/2(2)

x = 2

Let's find the y-coordinate;

f(2) = 2(2)² - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

Thus, y-coordinate = 1

This means the vertex coordinate is (2, 1)

Now, vertex form of a quadratic equation is;

f(x) = a(x - h)² + k

Where, (h, k) is the coordinate of the vertex and a is the first term as earlier seen.

Thus;

f(x) = 2(x - 2)² + 1

Now, the leading coefficient is positive and so it means that the parabola will open upwards and thus, will have a minimum value of 1.

Answer:

They are parallel because they are vertical lines, and all vertical lines are parallel.

Step-by-step explanation:

Answer:

erxytfgnb

Step-by-step explanation:

A sequence of instructions that solves a problem is called an algorithm.

The expression

using the property of exponents that

we simplify to

which is our answer.

The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"

To arrange the given numbers in least to greatest.

The order of numbers in greatest to least is,

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

Sum of the interior angles of a rectangular polygon of 18 sides​ IS 2880°

Given,

Rectangular polygon of 18 sides.

The sum of the measures of the interior angle of any polygon is the number of sides minus 2 multiplied by 180.

Then,

S=(n-2)*180°

n = Number of sides

So,

S=(18-2)(180°)

S=16(180°)

S=2880°

A polygon with 18 sides has an interior angle sum of 2880 degrees.

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The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

x=3

Step-by-step explanation:

5x - 2 = 3x +4

=> 5x - 3x = 4 + 2

=> 2x = 6

=> x = 6/2 = 3

\(\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}\)

\(\hrulefill\)

To convert from kilometers per hour to kilometers per minute, we simply divide by \(60\) as there are \(60\) minutes in an hour.

\(\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}\)

To find how far the car will travel in a certain time, just multiply the speed by the time.

\(1.5\ \text{km/min}*2\ \text{min}\)

\(\large\boxed{3\ \text{km}}\)

Answer:

3/4

Step-by-step explanation: