41-(2c+3) = 4(c+6)+c

Answer:it’s C

Step-by-step explanation:

The system of inequalities can be used to determine, if The selling price of model A was less than $8,000, The selling price of model B was at most $10,000, are x < 8000 × 0.88, and y < 1000 × 0.85.

The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.

It is one of the most crucial things for a business to decide. It is significant since it determines whether it will survive. Sales of a product are directly impacted by its price.

Given:

The selling price of model A was less than $8,000,

The selling price of model B was at most $10,000,

The price of model A is decreasing at a rate of 12% each year,

The price of model B is decreasing at a rate of 15% each year,

Write the inequality as shown below,

Assume the selling price of A is x,

x < 8000

Assume the selling price of B is y,

y < 1000

The decreased selling price of A,

x < 8000 × (1 - 0.12) = x < 8000 × 0.88

The decreased selling price of B,

y < 1000 × (1 - 0.15) = y < 1000 × 0.85

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Answer:

\( \huge \orange { \boxed{x = \frac{c - k}{12} }}\)

Step-by-step explanation:

12x + k = c

Step 1: transfer k on right side

12x = c - k

Step 2: Divide both side by 12

\( \frac{12x}{12} = \frac{c - k}{12} \\ \huge \red{ \boxed{x = \frac{c - k}{12} }}\)

The surface area of a surface parametrized by a function f(s, t), we use the formula:

Surface Area = ∫∫ √[f_s(s,t)^2 + f_t(s,t)^2 + 1] ds dt

The formula above calculates the surface area by integrating the square root of the sum of the squares of the partial derivatives of f with respect to s and t, plus one, over the surface.

Essentially, the formula is finding the magnitude of the gradient of the surface, which gives the rate of change of the surface in all directions.

Surface Area = ∫∫ √[f_s(s,t)^2 + f_t(s,t)^2 + 1] ds dt

The surface area formula can be used to find the surface area of various types of surfaces, such as parametric surfaces, implicit surfaces, and surfaces of revolution.

However, the integration required to evaluate the formula can be quite challenging, especially for complex surfaces. In such cases, numerical methods may be used to approximate the surface area.

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Answer:

\( \displaystyle A _{ \text{vinyl record }} \approx 490 {cm}^{2} \)

Step-by-step explanation:

we are given the circumstances of a vinyl record

we want to figure out the area

in order to do so we should figure out redious first

recall that,

\( \displaystyle \rm C = 2\pi r\)

given that, C=78.5

thus substitute:

\( \displaystyle \rm 78.5= 2\pi r\)

divide both sides by 2π:

\( \displaystyle r = \frac{78.5}{2\pi} \)

we have figured out r now we'll figure out the area

remember that,

\( \displaystyle A _{ \text{circle}} = \pi {r}^{2} \)

substitute the value of r

\( \displaystyle A _{ \text{vinyl record }} = \pi { \bigg(\frac{78 .5}{2\pi} \bigg)}^{2} \)

by using calculator we acquire

\( \displaystyle A _{ \text{vinyl record }} = 490 {cm}^{2} \)

Answer: Accounting profit=$90,000 and Economic profit loss= $28,500

Step-by-step explanation:

Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000

Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500

Answer:

-2

Step-by-step explanation:

(a) shows that every pair of opposite sides in the hexagon a′b′c′d′e′f′ are parallel and equal in length. On the other hand, (b) demonstrates that the triangles a′c′e′ and b′d′f′ have equal areas.

(a) To show that every pair of opposite sides in hexagon a'b'c'd'e'f' are parallel and equal in length, we can use the fact that the centroids of triangles divide the medians into segments of equal length.

Let's consider a'b' and d'e'. The centroid of triangle fab, a', divides the median fb into two segments, a'f and a'b', such that a'f = 2/3 * fb. Similarly, the centroid of triangle def, e', divides the median de into two segments, e'd and e'f', such that e'd = 2/3 * de.

Since fb = de (opposite sides of hexagon abcdef), we have a'f = e'd. Now, we can consider the triangles a'f'd' and e'df'. By the properties of triangles, we know that if two sides of a triangle are equal, and the included angles are equal, then the triangles are congruent.

In this case, a'f' = e'd' (as shown above) and angle a'f'd' = angle e'df' (corresponding angles). Therefore, triangle a'f'd' is congruent to triangle e'df'.

By congruence, the corresponding sides a'd' and e'f' are equal in length.

By similar reasoning, we can show that b'c' and e'f', as well as c'd' and f'a', are parallel and equal in length.

(b) To show that triangles a'c'e' and b'd'f' have equal areas, we can use the fact that the area of a triangle is one-half the product of its base and height.

In triangle a'c'e', the base is c'e' and the height is the perpendicular distance from a' to c'e'. Similarly, in triangle b'd'f', the base is d'f' and the height is the perpendicular distance from b' to d'f'.

Since opposite sides in hexagon a'b'c'd'e'f' are parallel (as shown in part (a)), the perpendicular distance from a' to c'e' is equal to the perpendicular distance from b' to d'f'.

Therefore, the heights of triangles a'c'e' and b'd'f' are equal. Additionally, the bases c'e' and d'f' are equal (as shown in part (a)).

Using the area formula, area = 1/2 * base * height, we can see that the areas of triangles a'c'e' and b'd'f' are equal.

Hence, we have shown that triangles a'c'e' and b'd'f' have equal areas.

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To make 4 batches of applesauce, 7 cups of apples are needed.

So the number of cups, of apples in one batch is calculated as by taking the ratio as 4:7 to 1:x . Here xis the number of cups for 1 batch.

So, from the expressions, we can see that,

(A) is correct option,

(B) is correct option,

(E) is correct option

(F) is correct option

As these all corresponds to "7/4"

Any one has not been able to disprove or prove the conjecture for all possible starting values.

Collatz conjecture is true or false?

According to research of 2021, the Collatz conjecture remains an unsolved problem in mathematics and it is still an open question whether the conjecture is true or false.

Numerous mathematicians have worked on the problem and many computational verifications have been done for large numbers.

no one has been able to prove or disprove the conjecture for all possible starting values.

While the conjecture has been verified for a vast number of starting values, including all values up to 2⁶⁸, there are still infinitely many possible starting values to check. Thus, the Collatz conjecture remains an intriguing open problem in mathematics.

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Answer:

The Collatz conjecture is a famous unsolved problem in mathematics. Despite being studied for decades, no one has been able to prove or disprove the conjecture for all positive integers. It is only known to be true for all starting values up to 2^60, which is a very large number.

Many mathematicians have tried to prove or disprove the conjecture, but none have been successful so far. It remains one of the most intriguing and mysterious problems in mathematics.

Unfortunately, I am unable to directly interpret or visualize figures or images. However, I can provide you with a general explanation. In a discretized reservoir using block-centered grids, the standard ordering refers to the arrangement of grid cells or blocks in a particular pattern.

This pattern is often used to establish the connectivity and adjacency relationships between the cells in the reservoir model. Typically, the standard ordering arranges the grid cells in a sequential manner, starting from the top-left corner and moving row by row. Each grid cell represents a discrete volume or unit in the reservoir. The non-zero elements, indicated by the "x" positions in the coefficient matrix, would correspond to the active or connected cells within the reservoir model. These active cells are the ones that contribute to fluid flow and other reservoir properties. To visualize the discretized reservoir using the standard ordering, you would need to refer to the coefficient matrix and determine the dimensions of the reservoir model, such as the number of rows and columns. Then, starting from the top-left corner, you can represent each active cell or block using a graphical representation, such as a square or rectangle, in a sequential manner based on the standard ordering. This way, you can construct a visual representation of the discretized reservoir model.

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Answer:

9/79/169%, 523.2, 458 (to 3sf)

Step-by-step explanation:

Example 1:

16/169×100%=9/79/169% of the students

Example 2:

87.2%×600=523.2 students

Example 3:

27.3%=125 students

100%=458 students (to 3sf)

Let small cups = S

Large cups = L

They bought a total of 8 cups, so S + L = 8

Rewrite as S = 8-L (1st equation)

Then you also have

$3S + $5L = $30 (2nd equation)

Replace the S in the second equation with the first equation:

$3(8-L) + $5L = $30

Simplify:

24 - 3L + 5L = 30

Combine like terms:

24+2L = 30

Subtract 24 from both sides:

2L = 6

Divide both sides by 2:

L = 3

They bought 3 large cups

Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)

Large = 3 cups, Small = 5 cups

Answer:

its c

Step-by-step explanation:

just trust me

Answer:

4 red swets

Step-by-step explanation:

2 + 1 = 3 (Total units of both red and blue sweets)

3 units = 12

1 unit = 12 ÷ 3 = 4

Since red sweets has only 1 unit, there are 4 red sweets out of 12 sweets.

The number of red sweets is 4.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

ratio of blue to red sweets in a packet is 2:1.

let the common ratio be x

Number if blue sweets be 2x

and number of red sweets be x.

Total sweets = 12

So, 2x+ x = 12

3x= 12

x= 4

Hence, the number of red sweets is 4.

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Answer:

=11x+10y+12

Step-by-step explanation:

7x +4x -4y+14y 15-3

11x 10y 12

=11x+10y+12

\(\text{Hi there! :)}\)

Answer:

\(\huge\boxed{x = -5}\)

\(-5x + 4 = 29\)

\(\text{Subtract 4 from both sides:}\)

\(-5x + 4 - 4 = 29 - 4\\\\-5x = 25\)

\(\text{Divide both sides by -5:}\)

\(-5x / (-5) = 25 / (-5)\\\\x = -5\)

Steps to solve:

-5x + 4 = 29

~Subtract 4 to both sides

-5x = 25

~Divide -5 to both sides

x = -5

Best of Luck!

The money bank gives to Mrs. Hilt is $50.15.

Money is any item or medium of exchange that is accepted by people for the payment of goods and services, as well as the repayment of loans. A current medium of exchange in the form of coins and banknotes.

Given that, Mrs. Hilt collected 1,003 nickels in a jar.

As 100 cents form a dollar, and 1 nickel equals five cents, we can say that 20 nickels make up a dollar.

Now, 1003/20

= $50.15

Therefore, the money bank gives to Mrs. Hilt is $50.15.

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Answer:

  p = 6i -3j +9k

  q = 3i -6j -3k

  r = 2p +q

  r = 5i -4j +5k

  R(5, -4, 5)

Step-by-step explanation:

Given points P(6, -3, 9) and Q(3, -6, -3) and R that divides PQ in the ratio 1:2, you want ...

The vector from the origin to a point (x, y, z) will be ...

  xi +yj +zk

where i, j, k are unit vectors in the direction of the x, y, and z axes, respectively.

Using this pattern, we find the position vectors p and q to points P and Q to be ...

  p = 6i -3j +9k . . . . . . . . . . . . . position vector p

  q = 3i -6j -3k . . . . . . . . . . . . . position vector q

Point R divides PQ in the ratio 1:2, so its position vector will be the weighted sum of p and q:

  r = (2p +q)/3 . . . . . . . . . . . . . . . . r in terms of p and q

Using the values of p and q from above, we find r to be ...

  r = (2(6i -3j +9k) +(3i -6j -3k))/3 = ((2·6+3)i +(2(-3)-6)j +(2·9-3)k)/3

  r = 5i -4j +5k . . . . . . . . . . r in terms of i, j, k

The coordinates of R are the coordinates of the head of position vector r:

  R(5, -4, 5) . . . . . . . . . . . . . coordinates of R

The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

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The probability of either getting a blue card or a green card is 0.648. The probability of either getting a blue card or a green card or a yellow card is 1.0. The probability of getting both a blue card and a green card is 0.277.

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is used to describe and analyze uncertain or random situations.

Given, that the box is filled with 123 blue cards, 234 green cards, and 53 yellow cards.

Total number of cards = 123 + 234 + 53 = 410

The probability of getting a blue card = 123/410
The probability of getting a green card = 234/410
The probability of either getting a blue card or a green card is given by:
P(Blue or Green) = P(Blue) + P(Green) - P(Blue and Green)
= 123/410 + 234/410 - (123*234)/(410*410)
= 0.3 + 0.348 - 0.054
= 0.648

The probability of getting a yellow card = 53/410
The probability of either getting a blue card or a green card or a yellow card is given by:
P(Blue or Green or Yellow) = P(Blue) + P(Green) + P(Yellow) - P(Blue and Green) - P(Green and Yellow) - P(Blue and Yellow) + P(Blue and Green and Yellow)
= 123/410 + 234/410 + 53/410 - (123×234)/(410×410) - (234×53)/(410×410) - (123×53)/(410×410) + 0
= 0.3 + 0.348 + 0.129 - 0.054 - 0.039 - 0.019
= 1.0

The probability of getting both a blue card and a green card is given by:
P(Blue and Green) = (123×234)/(410×410)
= 0.054

Therefore, the probability of either getting a blue card or a green card is 0.648. The probability of either getting a blue card or a green card or a yellow card is 1.0. The probability of getting both a blue card and a green card is 0.277.

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Answer:

2 Pi

Step-by-step explanation:

Notice that the shape is made of:

● 1 square with a side of 1 meter length

● 4 half-circles wich means 2 cicles with a diameter lf 1 meter.

■■■■■■■■■■■■■■■■■■■■■■■■■■

The square is inside so it isn't necessary to calculate the perimeter.

The perimeter of a circle is:

P' = d × Pi

We have 4 half-squares wich means two circles

So the total perimeter is:

● P = 2×P'

● P = 2 × d × Pi

● P = 2 × 1 × Pi

● P = 2Pi

Answer:

Step-by-step explanation:

The correct answer is “39916800”. Explanation: No. of mathematics books = 3 No. of Engineering books = 5 No. of history books = 3 Total number of books = 3 + 5 + 3 = 11 Hence, there are 11! ways in which all of these books can be arranged.

I think I may be wrong if someone wants to check this you can

Answer:

A

Step-by-step explanation:

Answer:

when I finish the test I will tell you the right answerer

Step-by-step explanation:

Answer: Y-(-1)= 3/4(x-1)

Step-by-step explanation:

*First find the slope*

y2-y1/x2-x1 ==> 2-(-1)/5-1 ==> 3/4

Point-slope form ==> y-y1=m(x-x1)

y-(-1)=3/4(x-1)

hello!

the answer to your question is 41!

-----------

explanation:

- Step 1: Our output value is 100.

- Step 2: We represent the unknown value with \(x\).

- Step 3: From step 1 above, \(100 = 100%\)%

- Step 4: Similarly, \(x = 41%\)%

- Step 5: This results in a pair of simple equations:

\(100 = 100% (1)\)% (1)

\(x=41\)% (2)

- Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

\(\frac{100}{x}\) = \(\frac{100}{41}\)

- Step 7: Again, the reciprocal of both sides gives

\(\frac{x}{100}\) = \(\frac{41}{100}\)

Therefore, 41% of 100 is 41.

hope this helps! have a great day! :D

The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.

Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.

Given:

A point (-3, 1)

Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.

Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:

1 = 2(-3) + b

1 = -6 + b

1 + 6 = b

b = 7

To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:

y = 2x + 7.

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Answer:

25x-5

Step-by-step explanation:

Consequently, the room has a 7 meter width. The room's length is

\(= 7 * 3 meters = 21 meters\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Given that the length of the rectangular space is three times its breadth

The chamber has a 56-meter perimeter.

Assume that the room's width is x.

As a result, the room is three times as long.

The room's perimeter is now equal to 2(3x + x).

\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)

Consequently, the room has a 7 meter width.

The room's length is

\(= 7 * 3 meters\\= 21 meters\)

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The number of quarters minted in 2018 is 2 and the mass of a quarter is 0.006 kg

The number of quarters minted in 2018 is 2 x 10°, which in standard form is simply 2. The mass of a quarter is 6 x 10^-3 kg, which in standard form is 0.006 kg. So, the number of quarters minted in 2018 is 2 and the mass of a quarter is 0.006 kg

A unit of mass is a unit used to measure mass. Mass is a physical property of an object that is used to explain various observed object behaviors.

In everyday life, mass is always synonymous with weight. But in reality, mass and weight are different. The weight is caused by the interaction between the mass and the Earth's gravitational field.

For example, an object with a weight on earth, when it is sent into outer space or to another planet, the object has no weight because there is no gravity. However, the object still has the same mass.

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