(6xy) divided (-3x) what is the simplest form
Please help
1. 8/27
2. -x + y
3. 1/8
4. -2y

Together, it will take the two machines 102 minutes to produce 5100 cans.

To solve this problem, we will use the work formula,

which is Work = Rate × Time.

1. First, let's find the rate of each machine.

New machine rate: 5100 cans / 170 minutes = 30 cans/minute

Old machine rate: 5100 cans / 255 minutes = 20 cans/minute

2. Now, let's find the combined rate of both machines. Combined rate: New machine rate + Old machine rate = 30 cans/minute + 20 cans/minute = 50 cans/minute

3. Finally, we will use the combined rate to find the time it takes for both machines to produce 5100 cans together.

Time = Work / Combined rate = 5100 cans / 50 cans/minute = 102 minutes

Together, it will take the two machines 102 minutes to produce 5100 cans.

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Answer:

One solution

Step-by-step explanation:

10-8d=-10d

   +8d  +8d

10=-2d

/-2  /-2

-5=d

There is only one solution.

-hope it helps

Answer:

22 degrees

Step-by-step explanation:

-4 + 26 = 22

Hope this helps

Answer:Find the most dollars per hour. Find the least hours worked per dollar paid.

Step-by-step explanation:

Answer:

Median is 4.5

Step-by-step explanation:

Median is a value that is in the middle position of data. In order to find median, there are several ways, from counting to middle position to a median formula.

However, in this scenario, we will not be requiring formulas to find median - we can count to middle position instead. The formulas should be recommended if you are trying to find a median with a lot of data.

Note: Before counting for a middle position of data, make sure that the data is all sorted.

Mean (Average) is a total sum of all data divided by total number of data. Mean value is useful when we want to consider numerical data all together in one - an example is if you have the data of students’ scores and you want to find how well your class do, the mean value should answer your doubts.

Since mean is total sum divided by total number, we can express the words mathematically as:

\(\displaystyle{\bar x = \dfrac{\sum x}{N}}\)

The \(\displaystyle \bar x\) (x bar) denotes mean value.

\(\displaystyle{\sum}\) (sigma) denotes the sum so \(\displaystyle{\sum x}\) denotes the sum of data.

N denotes the number of data.

To our problem, we are given with the mean value equal to 4.5 and here’s also our given data below:

5, 7, 7, 8, x, 5, 4, 3, 1, 2

We will be sorting the data later since we lack one element which is x. We can apply the mean value formula to solve for the variable x:

\(\displaystyle{4.5 = \dfrac{5+7+7+8+x+5+4+3+1+2}{10}}\)

Solve the equation for x:

\(\displaystyle{4.5 \cdot 10= \dfrac{5+7+7+8+x+5+4+3+1+2}{10} \cdot 10}\\\\\displaystyle{45=5+7+7+8+x+5+4+3+1+2}\\\\\displaystyle{45=42+x}\\\\\displaystyle{45-42=x}\\\\\displaystyle{3=x}\)

Now we know the missing data which is 3, so by substituting x = 3 in the data, we will have:

5, 7, 7, 8, 3, 5, 4, 3, 1, 2

Then sort the data from least to greatest:

1, 2, 3, 3, 4, 5, 5, 7, 7, 8

When you count for middle position, you’ll see that the middle position is between 4 and 5.

The number that is middle between 4 and 5 can only be one number which is 4.5

Therefore, our median to this data is 4.5

Answer: If the ratio of soccer balls to basketballs is 3:2, that means for every 3 soccer balls, there are 2 basketballs.

Let's say there are x soccer balls at the gym.

The ratio can be represented as 3x:2x

So the number of basketballs at the gym would be 2x.

So if you know the number of soccer balls at the gym, you can find the number of basketballs by multiplying the number of soccer balls by 2/3.

For example, if the gym has 18 soccer balls, the number of basketballs would be 2/3 * 18 = 12 basketballs

Step-by-step explanation:

Answer:

x ≈ 80.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{300}\) ( multiply both sides by 300 )

300 × tan15° = x , then

x ≈ 80.4 ( to the nearest tenth )

Given :-

To Find :-

Solution :

Let ,

→ y = f(x)

So that ,

→ y = 4x - 10/ x -2

→ 0 = 4x - 10/x - 2

→ 4x - 10 = 0

→ 4x = 10

→ x = 10/4

→ x = 5/2

→ x = 2.5

→ y = 4*0 - 10 / 0 -2

→ y = -10/-2

→ y = 5

Answer

The average for the next test would be 60

Step-by-step explanation:

50+50+50+50+100= 300

then divide by 5 students

300/5 = 60

A. The relationship is proportional.

B. The constant is 2.

C. The direct proportional is y = 2x.

What is relationship?

The relation in mathematics is the connection between two or more sets of values. Assume that there are two sets of ordered pairs, x and y. If set x and set y are related, then the values of set x are referred to as the domain while the values of set y are referred to as the range.

Given table is:

x                        y

2                       10

6                       12

8                        16

2.5                     5

7                       14

Assume the proportional is y = kx

Putting x = 6 and y = 12

12 = 6k

k = 2

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Answer:

  D (0,4)​

Step-by-step explanation:

You want to know an ordered pair that could be added to the given relation such that it remains a function.

A function cannot have any two ordered pairs that have the same x-value. The given relation has x-values {1, 2, 3, 4}, so none of these can be repeated if the relation is to remain a function.

The only choice with a different x-value is ...

  D (0, 4)

__

Additional comment

The set of x-values is the "domain" of the function. It cannot have any repeats. The set of y-values is the "range" of the function. Those values can be repeated.

A function that is "one-to-one" cannot have any repeated range values, either.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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Answer:

13x - 8y

Step-by-step explanation:

Step 1: Write expression

(6x - y) + (7x - 7y)

Step 2: Combine like terms

13x - 8y

The price of a ticket for a matinee movie is $9.

Let's use the variable "e" to represent the price of an evening movie ticket, and "m" to represent the price of a matinee movie ticket.

We know that the evening ticket is 1.5 times more expensive than the matinee ticket, which means

e = 1.5m

We also know that the cost of an evening ticket is $13.50, so we can substitute that value into our equation

13.50 = 1.5m

Now we can solve for m

m = 13.50 / 1.5

Divide the numbers and find the value of m

m = $9

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Answer:

the two variables are meters and seconds,. meters are graphed on the y- axis, seconds is the independent variable....2,4,5

Answer:

right answer lol

Step-by-step explanation:

Answer: 2.718

Step-by-step explanation:

You don’t need the star there but it is Euchre’s number when you look it up it is 2.718

0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

Answer:

6

Step-by-step explanation:

5^2+6=31

25+6=31

31=31

proved

One-third of the number is at least 5 units from 31. The number is 78.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that one-third of a number is at least 5 units from 31. The unknown number is x.

( 1 / 3 )x + 5 = 31

x + 15 = 31 x 3

x + 15 = 93

x = 93 - 15

x = 78

Therefore, one-third of the number is at least 5 units from 31. The number is 78.

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Answer:

He can apply for 4 different majors at each college giving

5 * 4 = 20     (if the college permits more than 1 application for a major)

Step-by-step explanation:

there is one central rectangle :

from (-4, 2) to (2, -2).

that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).

and then there are 3 additional triangles

(2, -4) (2, 2) (6, 2)

(-4, -2) (2, -2) (2, -4)

(-6, 2) (-4, 2) (-4, -2)

with the leg lengths

(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4

(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2

(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4

the area of the rectangle is

6×4 = 24 square units

the area of the first triangle is

6×4/2 = 3×4 = 12 square units

the area of the second triangle is

6×2/2 = 6 square units

the area of the third triangle is

2×4 = 8 square units.

so, the total area is

24 + 12 + 6 + 8 = 50 square units.

Answer:

A and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.

(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.

(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

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The regular expression excludes strings like "1000" or "100000" because they have an even number of 0s following the 1.

The set of all bit strings made up of a 1 followed by an odd number of 0s can be represented by the regular expression:

1(00)*

Breaking down the regular expression:

1: The string must start with a 1.

(00)*: Represents zero or more occurrences of the pattern "00". This ensures that the 1 is followed by an odd number of 0s.

Examples of valid bit strings in this set include:

10

100

10000

1000000

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