What is the least common denominator for the fractions below?
335
OA. 32
OB. 12
OC. 24
O D. 18
46
and

Answer:

4000 sorry if its wrong i did the math it should be right

Step-by-step explanation:

HOpe i helped

Answer:

c) 0.23

Step-by-step explanation:

Let's look through these one by one to check if they're a rational number or not. First, we have e. It's also known as "Euler's number," and it goes on forever and doesn't repeat. Since it doesn't repeat or terminate, it's not a rational number.

What about \(\sqrt{3}\)? Well, if we look this up, we get 1.732050... and it doesn't look like it repeats or terminates. So this isn't a rational number.

Let's take a look at 0.23. Well, this looks like a terminating decimal. It can be written as a fraction (\(\frac{23}{100}\)). So it's a rational number.

Just to make sure, let's check \(\frac{\pi }{2}\). While it is written as a fraction, when you divide it out, it creates a non-repeating, non-terminating decimal, so this is not a rational number.

Hopefully that was helpful! If you have any more questions, let me know.

The distance between point C  (-3, 3) and point D (0, -4) is equal to: √58 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(0 + 3)² + (-4 - 3)²]

Distance = √[(3)² + (-7)²]

Distance = √[9 + 49]

Distance = √58 units.

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Answer:

u - 6 + 13/u+3

Step-by-step explanation:

Have a good day :)

Answer:

14

Step-by-step explanation:

f(2)=4(2)+2

f(2)=10

g(3)=2(3)-2

g(3)=6-2

g(3)=4

10+4=14

Answer:

17

Step-by-step explanation:

f(x) = 4x + 2

g(x) = x² - 2

f(2) = 4(2) + 2 = 10

g(3) = 3² - 2 = 7

10 + 7 = 17

Answer:

1. y=6

2. x=-2

3. t=-6

Step-by-step explanation:

1.

\(4y-9=15\\4y-9+9=15+9\\4y=24\\\frac{4y}{4}=\frac{24}{4}\\y=6\)

2.

\(6x+7=-5\\6x+7-7=-5-7\\6x=-12\\\frac{6x}{6}=\frac{-12}{6}\\x=-2\)

3.

\(-9t+2=56\\-9t+2-2=56-2\\-9t=54\\\frac{-9t}{-9}=\frac{54}{-9}\\t=-6\)

The value of P in the equation (10011 base 2 + P + 11100 base 2 + 101 base 2 = 1001111 base 2) is 11011 base 2.

The value of P in the equation is found as follows from the given equation:

10011 base 2 + P + 11100 base 2 + 101 base 2 = 1001111 base 2

Hence;

P = 1001111 base 2 - (10011 base 2 + 11100 base 2 + 101 base 2)

Summing the values in the bracket: 10011 + 11100 + 101 = 110100

Then the value of  P will be:

P = 1001111 base 2 - 110100 base 2

P = 11011 base 2

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Answer:

12

Step-by-step explanation:

Answer:

The answer is 12

Step-by-step explanation:

15 percentage of 80.00 = 12.0000

Answer:

x + 50° + 70° = 180°

or, x + 120° = 180°

or, x = 180° - 120°

•°• x = 60°

Step-by-step explanation:

x + 50° + 70° = 180° ( Due to Straight line )

The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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Answer:

64.3738 km/h

Step-by-step explanation:

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

Option A is correct.

The surveys are biased because people chose to respond or not.

Step-by-step explanation:

When humans are given the choice whether to participate in a poll like in this question, most often than not, the poll is biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the poll. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

The two other options are not absolutely correct, these are the reasons.

b. Because of the large sample size, the results are most accurate of all members of the community.

Like I expressed above, the base of the sample is flawed and biased as it will most likely favour a group of the population that don't agree with the law. So, no matter how large the sample is, that type of bias makes the poll unreliable.

c. The same sampling methods were used for both polls, demonstrating reliability.

The sampling method is biased, so, it doesn't matter if it is repeated for both polls. it most likely will not represent the correct general consensus about the new traffic law.

Hope this Helps!!!

Answer:

T = PV/nR

..............................................

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer:

8 words per min

Step-by-step explanation:

The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

y - 2 = (1/2)(x - 3)

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

y - 2 = (1/2)(x - 3)

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation:

The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).

The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.

The constant term of 3 represents a vertical shift upwards by 3 units.

To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.

In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.

Therefore, setting x - 4 = 0, we find x = 4.

Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.

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The measure of the smallest angle is 26 degree.

We have,

Triangle's angle measures of (x+3)º,(5x-8)º, and (2x+1)º

Using Angle Sum Property

(x+ 3) + (5x - 8) + (2x + 1)= 180

8x - 4 = 180

8x = 184

x = 184/8

x = 23

Thus, the measure of angles are

x+ 3 = 23+ 3 = 26

5x-8 = 5(23) - 8 = 107

2x +1 = 2(23) + 1 = 47

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Answer:

--------------------------------------

Steps should be self-explanatory. Happy to explain if anything is not clear.

Answer:

Step-by-step explanation:

1) 4v + 7 = 7, for v?

→ 4v + 7 = 7

→ 4v = 7 - 7

→ v = 0/4

→ [ v = 0 ]

2) 3(u + 4) = 27, for u?

→ 3(u + 4) = 27

→ 3u + 12 = 27

→ 3u = 27 - 12

→ u = 15/3

→ [ u = 5 ]

3) -20 = 10(h + 5), for h?

→ -20 = 10(h + 5)

→ 10h + 50 = -20

→ 10h = -20 - 50

→ h = -70/10

→ [ h = -7 ]

4) -10 = (n - 52)/5, for n?

→ -10 = (n - 52)/5

→ n - 52 = -10 × 5

→ n = -50 + 52

→ [ n = 2 ]

5) (48/x) - 3 = 3, for x?

→ (48/x) - 3 = 3

→ 48/x = 3 + 3

→ 6x = 48

→ x = 48/6

→ [ x = 8 ]

6) 8r = 2r + 42, for r?

→ 8r = 2r + 42

→ 8r - 2r = 42

→ r = 42/6

→ [ r = 7 ]

These are required values.

Answer:

245 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is length times width times height.

So in this case we would do, 8 * 2.5 * 12.25 to get 245. So your answer would be 245 cubic inches.

*side note*: 2 1/2 is the same thing as 2.5 and 12 1/4 is the same thing as 12.25

Answer: A. The first one

Step-by-step explanation:

The first data can be represented in the box plot if the restaurant records the number of tables served each night, and option (A) is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data:

Minimum = 3

Lower = quartile = 14

Median = 23

Upper quartile = 29

Maximum = 40

From the above data, we can plot the data in the box plot.

Thus, the first data can be represented in the box plot if the restaurant records the number of tables served each night, and option (A) is correct.

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The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

  length: 62 ft

  width: 31 ft

Step-by-step explanation:

Let w represent the width. Then the length is 2w and the perimeter is ...

  P = 2(L+W)

  186 = 2(2w +w)

  31 = w . . . . . . . . . divide by 6

  2w = 2(31) = 62

The length of the shed is 62 feet; its width is 31 feet.