Hey What is -5t > 10

Answer:

Nathan multiplies −2x+3y=6 by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions.

Step-by-step explanation:

k12

The solution for the system of equations -

- 2x + 3y = 6

3x - 6y = -12

is (0, 2)

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

\(y-y_{1}=m\left(x-x_{1}\right)\)

We have the following set of equations -

- 2x + 3y = 6

3x - 6y = -12

These are the equations of a straight line. Plotting the graphs and finding the point of intersection would give us the solution. It can be seen from the graph that the solution is given by coordinate - (0,2)

Solving by elimination method -

- 2x + 3y = 6       ..[1]

3x - 6y = -12            ..[2]

Multiply [1] by 3 and [2] by 2 -

- 6x + 9y = 18

6x - 12y = - 24

Adding both -

- 6x + 9y + 6x - 12y = 18 - 24

-3y = - 6

y = 2

AND

- 2x + 3y = 6

-2x + 6 = 6

x = 0

Therefore, the solution for the system of equations -

- 2x + 3y = 6

3x - 6y = -12

is (0, 2)

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Answer:

The value of x is (-5)

Step-by-step explanation:

9x + 2 = 10x + 7

9x - 9x + 2 - 7 = 10x - 9x + 7 - 7

(-5) = x

x = (-5)

Thus, The value of x is (-5)

Answer:

i dont know

Step-by-step explanation:

?

Answer:

Step-by-step explanation:

A type of graph that does not show the number of times a response was given is a qualitative or categorical graph. These graphs are used to represent categorical data where the focus is on the distribution or proportions of different categories rather than the frequency or count of each category.

Common types of qualitative graphs include:

Bar Graph: A bar graph represents categorical data using rectangular bars of different heights. Each bar corresponds to a specific category, and the height of the bar represents a certain characteristic or value associated with that category. The length of the bar is not proportional to the frequency of responses.

Pie Chart: A pie chart is a circular graph divided into slices, where each slice represents a category. The size of each slice corresponds to the proportion or percentage of responses in that category, but it does not show the actual count or frequency.

Radar Chart: A radar chart, also known as a spider chart or web chart, displays multivariate data on multiple quantitative variables. It uses a polygon with different arms or axes radiating from a central point, and each arm represents a different category or variable. The length or position along each arm indicates the magnitude or value of that variable, but it does not convey the frequency of responses.

In summary, qualitative or categorical graphs focus on representing categories and their proportions or distributions, rather than the number of times a response was given.

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Answer: Let the width of the rectangle be w and the length be l. We are given that the area of the rectangle is 45 cm^2, so we can write the equation:

w * l = 45

To find the lengths of the sides, we need to solve for w and l. We can divide both sides of the equation by any non-zero number to find an equivalent expression. For example, we can divide both sides by 9:

(w/9) * (l/9) = 45/9

Simplifying, we get:

w/9 * l/9 = 5

So, w/9 = 5/l and w = 5l/9.

Substituting the expression for w into the original equation, we get:

(5l/9) * l = 45

Expanding and simplifying, we get:

5l^2/9 = 45

Multiplying both sides by 9, we get:

5l^2 = 405

Dividing both sides by 5, we get:

l^2 = 81

Taking the square root of both sides, we get:

l = 9

So, the length of the rectangle is 9 cm. To find the width, we can substitute the value of l back into the expression we derived earlier:

w = 5l/9

w = 5 * 9 / 9

w = 5

So, the width of the rectangle is 5 cm.

The lengths of the sides of the rectangle, both exactly and approximately, are 9 cm and 5 cm.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine the number of ways to select 3 men and 2 women for a committee from a union chapter consisting of 6 men and 4 women, we can use the concept of combinations.

The number of ways to select 3 men from 6 men is given by the combination formula: C(6, 3) = 6! / (3! * (6 - 3)!) = 20.

Similarly, the number of ways to select 2 women from 4 women is given by the combination formula: C(4, 2) = 4! / (2! * (4 - 2)!) = 6.

To obtain the total number of ways to select 3 men and 2 women for the committee, we multiply these two combinations together: 20 * 6 = 120.

Therefore, there are 120 ways to select 3 men and 2 women for a committee from the given union chapter.

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The better estimate is 10 gallons and 2 quarts.

10 gallons is a better estimate than 10 quarts because a gallon is larger than a quart. In fact, there are 4 quarts in a gallon. Therefore, 10 gallons is equivalent to 40 quarts, which is clearly larger than 10 quarts.

2 quarts is a better estimate than 2 cups because a quart is larger than a cup. In fact, there are 4 cups in a quart. Therefore, 2 quarts is equivalent to 8 cups, which is clearly larger than 2 cups.

Thus, the better estimates are 10 gallons and 2 quarts.

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It depends on the context in which the estimates are being used.

Gallons are a unit of measurement for volume commonly used in the United States and other countries. It is often used to measure the volume of liquids, such as gasoline, water, or milk.

Define Quarts?

It is a British unit of liquid or dry capacity equal to ¹/₄ gallon or 69.355 cubic inches or 1.136 liters.

If the estimates are for measuring liquid volume, then 10 gallons would be a better estimate than 10 quarts as it is a larger unit of measurement.

Similarly, if the estimates are for measuring liquid volume, then 2 quarts would be a better estimate than 2 cups as it is a larger unit of measurement.

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Answer:

Value of \(x=30\)

Step-by-step explanation:

When the two lines being crossed are Parallel Lines the Corresponding Angles are equal.

Hence

\(x+25=55\\\\x=30\)

Answer: 11

Step-by-step explanation:

Complementary angles mean both angles sum 90°, then:

(3x + 2)° + 5x° = 90°

3x° + 2° + 5x° = 90°

8x° + 2° = 90°

8x° = 88°

x = 11

Confirmation:

(3x + 2)°                                        5x°

(3(11) + 2)°                                      5(11)x°

(33 + 2)°                                         55x°

35°

                      35° + 55° = 90°

Answer:

b

Step-by-step explanation:

b

Answer:

x=27

Step-by-step explanation:

simplify 1/4

(1/4*x)-7=0

7=7/1=7*4/4

x-(7*4)/4=x-28/4

x-28/4=0

x-28/4*4=0*4

x-28=0

add 28 to both sides of the equation

x=28

Answer:

c

Step-by-step explanation:

V=a2h

3=14.22·3.9

3=262.132cm³

In the first part of her journey, she walks 2.45 km due east, which means her displacement in the east-west direction is 2.45 km. In the second part, she walks 7.82 km at a direction 32.5∘ west of north.

To find her displacement in the north-south direction, we need to calculate the vertical component of her movement.

The vertical component can be found by multiplying the distance (7.82 km) by the sine of the angle (32.5∘). Therefore, the vertical displacement is 7.82 km * sin(32.5∘) ≈ 4.12 km. Since the hiker's starting point is in the east and north directions, we can consider the east-west displacement as the x-coordinate and the north-south displacement as the y-coordinate. Using these coordinates, we can calculate the total displacement using the Pythagorean theorem.

The total displacement is the square root of the sum of the squared horizontal and vertical displacements. Therefore, the distance from the hiker's starting point is √(2.45 km)^2 + (4.12 km)^2 ≈ √6.0025 + 16.9744 ≈ √22.9769 ≈ 4.8 km (rounded to one decimal place). Hence, the hiker is approximately 4.8 km away from her starting point.

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The salesperson receives 5% of the sweater cost, that is, $40*5% = $2 per sweater. To find how many sweaters does he need to sell to make $100, we can use the next proportion.

Solving for x,

He has to sell 50 sweaters

Answer:

34

Step-by-step explanation:

45*55+34

The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer:

  x = -3

Step-by-step explanation:

You want to know the equation of the axis of symmetry, given that the vertex coordinates of the quadratic are (-3, 4).

The equation of the axis of symmetry is the equation of the vertical line through the vertex. You have correctly located that line at x = -3. (Good Job)

The equation of the axis of symmetry is ...

  x = -3

__

Additional comment

The equation of a vertical line is of the form x = c, where c is some constant. Here, we need to choose that constant so the line will go through a point that has x-coordinate x = -3. The constant will be -3.

Since we know that George can sell at least 6 cups and no more than 8 cups, the range of this function will be some subset of {1, 2, 3, 4, 5, 6, 7, 8}. '

However, since we don't have any information about how many cups George sells for each specific value in the domain {6, 7, 8}, we can't determine the exact range. It could be any subset of {1, 2, 3, 4, 5, 6, 7, 8} that includes at least one and at most three elements.

If George sells at least 6 cups and no more than 8 cups, the domain of this function is indeed {6, 7, 8}. To determine the range, we need to know the relationship between the number of cups sold and the output variable (e.g., revenue or profit). Without this information, it's not possible to provide the range. Please provide more context or details about the function, and I'd be happy to help you find the range.

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The maximum amount she can afford to borrow for a home mortgage is: $41,100.

An employees who receive gross monthly salary will get 12months paychecks per year.

Using this formula

Maximum amount= Gross monthly salary× 12 paychecks

Let plug in the formula

Maximum amount=$3,425×12 months

Maximum amount=$41,100

Inconclusionhe maximum amount she can afford to borrow for a home mortgage is: $41,100.

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Answer:

c. 9/12

Step by step explanation.

Given: sin = 9/15

and,

\(sin = \frac{opp.}{hyp.} \)

\(tan = \frac{opp.}{adj.} \)

thus, find adj. side

by using Pythagoras theorem

\( {c }^{2} = {a}^{2} + {b}^{2} \)

then,

let adj. side be a^

\( {a}^{2} = {c}^{2} - {b }^{2} \\ {a}^{2} = {15 }^{2} - {9}^{2} \\ {a}^{2} = 144 \\ a = 12\)

thus,

adj. side is 12

then,

tan of the angle = 9/12

Answer:

a rhombus that is the answer

The best describes the figure that is represented by the following coordinates A(-4, 3), B (2,3), (3, -1), and D(-5, -1) will be a rhombus.

Its a parallelogram but all sides of the same length.

A rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

Its vertex angles are bisected by its diagonals.

The triangles on either side of the diagonals are isosceles and congruent.

The best describes the figure that is represented by the following coordinates A(-4, 3), B (2,3), (3, -1), and D(-5, -1) will be a rhombus.

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Answer:

A major source of hydroelectric power: Niagara Falls.

A volcano that grew out of a cornfield in 1943: Paricutin.

A natural barrier to settling in the West: Rocky Mountains.

The highest mountain peak in North America: Mount McKinley.

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We need to use distributive property to find the missing factors:

"The distributive property of multiplication says that a multiplication fact can be broken up into the sum of two other multiplication facts."

because 5+2 = 7.

So the correct answer are:

7 X 3 = ( 5 X 3 ) + ( 2 X 3 )

Then

7 X 3 = ( 2 X 3 ) + ( 5 X 3 )

because:

( 5 X 3 ) + ( 2 X 3 ) = ( 2 X 3 ) + ( 5 X 3 )

Also :

7 X 3 = ( 1 X 3) + ( 6 X 3 )

Because 7 x3 = (6+1) x 3 = 1 X 3) + ( 6 X 3 )

The graph of the system is added as an attachment

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

f(x) = 2x + 8 for x < -1

      -2x + 7 for x > 3

The above system is a piece wise fucntion that include

Two linear equations

Next, we plot the graph

See attachment for the graph of the equation

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These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

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Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The cost of a bottle of apple juice at store B is $0.63 more than at

store A.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Store A:

Cost of x bottles = 0.25x

Cost of 1 bottle = $0.25

Store B:

From the table, we see that,

Cost of 9 bottles = $7.92

Cost of 1 bottle = 7.92/9 = $0.88

Cost of 1 bottles = $0.88

Now,

The difference between the cost of one bottle at store A and store B.

= 0.88 - 0.25

= $0.63

Thus,

The cost of a bottle of apple juice at store B is $0.63 more than at

store A.

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The allowable child and dependent care credit considering their pre-credit tax liability is $0

The following chart illustrates how their authorized child and dependent care credit was calculated:

If the revenue is less than $22,000, the full 22% would be permitted.

However, the eligible kid expense would only be allowed up to $7,000.

Consequently, the sum would be

= $7,000 × 22%

= $1,540

Since there is already a pre-credit tax liability, $0 should be taken into account because there would be no credit.

Due to their pre-credit tax liability, the available child and dependent care credit is therefore $0.

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Answer:

Step-by-step explanation:

It’s d

Answer:

Answer is a

Step-by-step explanation: Answer is a

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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Answer:

8,530

Step-by-step explanation:

8,531.75 rounds to 8,531 which rounds down to 8,530

The answer is 8,530.