does multiplying 2 numbers together always give the first common multiple of the numbers? explain using examples

By unitary method 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

Students traverse a total area of 40 yards by 40 yards, or 1600 yards.

24 kids covered an area of 8 ft x 8 ft, or (8 ft x 1 yd/3 ft)2 = [(8/3) yard]2 = (64/9) yd.

The number of students present is calculated by multiplying the number of students per yard, or 24 students/(64/9) yd2, by the area that students cover.

Therefore: 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.

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Answer:

30 in.²

Step-by-step explanation:

Real:

length 30 ft

width 36 ft

Scale:

length 5 in.

width ?

30/36 = 5/x

30x = 5 × 36

x = 6

The scale width is 6 inches.

Scale area:

area = length × width

area = 5 in. × 6 in.

area = 30 in.²

The area, of the floor in the scale drawing is 30 in.²

The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.

Given that  rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches.

length 30 ft

width 36 ft

Scale: length 5 in.

Then we have

30/36 = 5/x

30x = 5 × 36

x = 6

The scale width is 6 inches.

Scale area:

The area = length × width

area = 5 in. × 6 in.

area = 30 in.²

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Answer:

Step-by-step explanation: i'd say jus divide

Answer:

To find the simplest form is to find a number than can evenly go into both numbers. 7/14=1/2. 1/2 as you can divide 7 into 7 one time and 7 into 14 twice. A half (1/2). Because 7 is the half of 14, so the simplest form is 1/2. At first look you think it's already in its simplest form, but

explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{7}{14}}\\\\\\\mathsf{= \dfrac{7\div7}{14\div7}}\\\\\\\mathsf{= \dfrac{1}{2}}\\\\\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{\dfrac{1}{2}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

On solving the provided question, we can say that the sequence what we tell on day 3 = he sold 5; on day 4 = he sold 7; on day 5 = he sold 9

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

here,

on day 1 = he sold 1

on day 2 = he sold 3

on day 3 = he sold 5

on day 4 = he sold 7

on day 5 = he sold 9

.

.

.

.

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$1553.91

Step-by-step explanation:

839.95 ×.85 = 713.96

839.95 + 713.96 = 1553.91

The  total number of ways that 3 boys and 3 girls can line up so that no two of the three boys are next to each other is found to be as  144 .

It is given that there are four general arrangements of boys and girls,

Here, the boys can be arranged or rearranged (permuted) among themselves in a total of ,  3 × 2 × 1 = 6 different ways.

Similarly, the three girls can be rearranged among

themselves in 6 ways.

We are given that both the groups can arrange themselves independently .

Therefore,  the number of ways to create any one of the four basic arrangements is 6 × 6 = 36.

Therefore, the number of ways to arrange them is ,

4 × 36 = 144 .

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The age of your uncle is modeled by:

y = 2 + 3*x

Evaluating it, we can see that when you are 12 years old, your uncle will be 38 years old.

Let's define the variables: y as your uncle's age and x as your age.

Here we know that your uncle is 2 years older than 3 times your age, so we can write the linear equation:

y = 2 + 3*x

This is the equation we needed to find.

b) If you are 12 years old, then we can write x = 12 in the equation above, then we will get:

y = 2 + 3*12

y = 2 + 36

y = 38

That's the age of your uncle.

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The missing segment lengths are CD = 10√2, AC = 10√2, BC = 10 and AB = 10.

Drag each length to the correct location accordingly

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

In ΔACD,

sin 45° = CD/20     (sin = opp/hyp)

(√2)/2 = CD/20

CD = (√2)/2 × 20

CD = 10√2

cos 45° = AC/20   (cos = adj/hyp)

(√2)/2 = AC/20

AC = (√2)/2 × 20

AC = 10√2

In ΔABC,

sin 45° = BC/10√2     (sin = opp/hyp)

(√2)/2 = BC/10√2

BC = (√2)/2 × 10√2

BC = (10 × 2)/2

BC = 10

cos 45° = AB/10√2   (cos = adj/hyp)

(√2)/2 = AB/10√2

AB = (√2)/2 × 10√2

AB = 10

Drag each length of the missing segment to the correct location

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Answer:

x = 13

Step-by-step explanation:

There is more than one 98-degree angle since they are all corresponding interior angles.

The supplementary angle to the 98-degree angle next to the triangle is:
180 - 98 = 82 degrees

In addition, another angle inside the triangle is an 85-degree angle. This is because this 85-degree angle is opposite adjacent to the other 85-degree angle.

Hence, the angles inside the triangle are: x, 85, and 82

x + 85 + 82 = 180 ==> Triangles add up to 180 degrees

x + 167 = 180  ==> simplify

x = 13 degrees ==> subtract 167 on both sides

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The percentage of students who do not participate in a sport is C. 51.0%.

To find the percentage of students who do not participate in a sport, we can use the following formula:

(Number of students who do not participate in a sport) / (Total number of students) * 100%

From the table, we can see that the number of students who do not participate in a sport is 985, and the total number of students is 1930. So, plugging these values into the formula gives us:

= 985 / 1930 * 100%

= 51.03%

So, about 51.03% of students do not participate in a sport.

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Answer: The scale of a map is a ratio that represents the relationship between distances on the map and distances in the real world. For example, a scale of 1:20 000 means that 1 unit on the map represents 20 000 units in the real world.

In this case, we are given that the area of the forest on the first map is 50 cm² and the area of the forest on the second map is 8 cm². We can use the scale of the first map to find the scale of the second map.

Since the area of the forest on the first map is 50 cm² and the scale is 1:20 000, the area of the forest in the real world is 50 cm² * 20 000 = 1 000 000 cm².

Similarly, since the area of the forest on the second map is 8 cm², the area of the forest in the real world is 8 cm² * x, where x is the scale of the second map.

Setting these two expressions equal to each other, we get:

1 000 000 cm² = 8 cm² * x

Dividing both sides of the equation by 8 cm², we get:

x = 125 000

Therefore, the scale of the second map is 1:125 000.

Step-by-step explanation:

a. The key features of the exponential function y = 1000(2)^(0.3x) is given as follows:

b. The relevant domain and range are given as follows:

The exponential function for this problem is modeled as follows:

y = 1000(2)^(0.3x).

The features are given as follows:

The domain of the function is the set that composes all input values of the function, and as the exponential function does not have any restrictions such as a fraction or an even root, it is composed by all real values.

However, the relevant domain is x ≥ 0, as the number of days does not assume negative values.

The range is the set containing all output values of the exponential function. As the initial value of the exponential function is of 1000 and the function is increasing, the range is y ≥ 1000.

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Answer:

[tex]\text{Perimeter}=8x^2+14x-5[/tex]

Step-by-step explanation:

[tex]\text{Perimeter}=(7x-4)+(3x^2+7x-1)+(5x^2)\\\text{Perimeter}=7x-4+3x^2+7x-1+5x^2\\\text{Perimeter}=5x^2+3x^2+7x+7x-4-1\\\text{Perimeter}=8x^2+14x-5[/tex]

Peggy completed more of the math homework than Al

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

we know that

In order to be able to compare fractions more easily it is recommended that both have the same denominator

Peggy

5/6 x 5 = 25/30

Al

4/5 x 6 = 24/30

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When B is the circumcenter of  triangle ADG the lengths of AE and DG are 4 and 12 respectively

The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle.

In other terms, the circumcenter is the point at which the bisector of a triangle's sides coincides.

The perpendicular lines radiating from the sides of the triangle are the bisectors hence the line it radiates from shares the is shared into two halves at that point

Having this in mind

AE = DE = 4

and

DF = GF = 6

Also, DF + GF = DG

DG = DF + DF

DG = 6 + 6

DG = 12

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Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A. a = 8, b = 15, c = 17

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

17² = 8² + 15²

289 = 64 + 225

289 ≠ 289

Therefore, this is not a right triangle.

B. a = 6, b= 15, c = 18

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

18² = 6² + 15²

324 = 36 + 225

324 ≠ 324

Therefore, this is not a right triangle.

C. a = 7, b = 10, c = 12

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

12² = 7² + 10²

144 = 49 + 100

144 = 144

Therefore, this is a right triangle.

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

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Answer in explanation:

*change the problem to [tex]\frac{5}{6}[/tex] x [tex]\frac{3}{1}[/tex]

(change 3 into a fraction by putting 1 in the place of a denominator)

next cross multiply

5   x   /1

/2       1

3 can go into 6- 1 time

since anything multiplied by 1 is 1, the answer is  [tex]\frac{5}{2}[/tex]  

Hope this helps ya!

*(disclaimer lol: alternatively, you could cross multiply without changing 3 to a fraction and get the same answer-- however, I wanted to explain as clearly as possible, and figured it was less confusing this way!)

Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The rate of Earth's rotation is about 1,000 miles per hour, and the speed of its revolution is about 67,000 miles per hour, but both of those speeds are so slow that we don't feel any movement or acceleration.

Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The rate of Earth's rotation is about 1,000 miles per hour and its revolution is about 67,000 miles per hour, but both of these speeds are too slow to be felt.Earth's rotation and revolution are both very slow motions, so slow that we don't feel them. The speed of Earth's rotation is about 1,000 miles per hour, and the speed of its revolution is about 67,000 miles per hour, but both of those speeds are so slow that we don't feel any movement or acceleration.

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The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

(s⁻⁵)³

We can write the expression as -

(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵

Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

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Answer:

median= 1/3

Step-by-step explanation:

The equation is 80x + 1200 = 3800. And the numbers of at least 30 recliners and 32 sofas the company can have in the shipment.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A company is loading recliners and sofas onto a trailer that has a volume of about, 3800 cubic feet.

Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet.

The company wants the shipment to have at least 30 recliners and more than 25 sofas.

The equation that represents the situation is,

80x + 40y = 3800,

where x is the volume of a sofa and y is the volume of a recliner.

If y = 30 then,

80x + 1200 = 3800

80x = 2600

x = 2600/80

x = 32.5

x ≈ 32

Therefore, 30 recliners and 32 sofas.

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A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. All angles are congruent, and the diagonals bisect each other and are congruent. It does not, however, have the property that all angles are equal.

A parallelogram is a four-sided shape with two pairs of parallel lines. The opposite sides of the parallelogram must be congruent, meaning that they have the same length. All angles are congruent, which means that they all have the same measure. The diagonals of the parallelogram bisect each other, meaning that they divide each other into two equal parts, and they must also be congruent. All of these properties are true for a parallelogram, except that the angles do not have to be equal. The angles can be either acute, obtuse, or right angles, but they must all have the same measure. So, in conclusion, the property that is not true for a parallelogram is that all angles are equal.

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the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale is 4√5

What is altitude Class 9?

The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.

In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

Let's call it x

According to Euclidean theorem x^2 = 5×16

x^2= 80 and

x = 4√5

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Answer:

x = 10

Step-by-step explanation:

the legs of an isosceles triangle are congruent.

the perimeter is the sum of the 3 sides of the triangle

sum the 3 sides and equate to 106

x + 5x - 2 + 5x - 2 = 106

11x - 4 = 106 ( add 4 to both sides )

11x = 110 ( divide both sides by 11 )

x = 10

The value of x in the similar polygons is 7.

Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Therefore, the polygons WXY and STU are similar.

Hence, using proportion, let's find the value of x

3 / 9 = 4 / x + 5

cross multiply

3(x + 5) = 9 × 4

3x + 15 = 36

subtract 15 from both sides of the equation

3x + 15 - 15 = 36 - 15

3x = 21

divide both sides by 3

x = 21 / 3

x = 7

Therefore,

x = 7

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The stem represents the tens place and the leaves represent the unit place of each data point, allowing for easy visualization of the distribution of the data.

A stem-and-leaf plot is a type of graph used to display the distribution of a set of data. It is a way to show the frequency of different values in a dataset. In this case, it is showing the number of days of snowfall at a winter sports resort for each of the past 171717 years.

Continuous and discrete data distributions are the two main forms found in statistics. Continuous data is information having a wide range of possible values. When measuring this kind of information, such weight or temperature, a scale is frequently used. A histogram is another tool for representing continuous data.

The complete question will be :

The stem and leaf plot shows the number of days of snowfall at a winter sports resort for each of the past years. represents a year with days of snowfall. Here is the five-number summary for these data Five-number summary According to the - IQR rule for outliers, how many high outliers are there in the data set?

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Answer:

0

Step-by-step explanation:

The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.

It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.

On this note, since the quotient which is to be maximised is hypothetically; x / y;

Hence, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.

On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;

10 / (2 / 5)

= ( 10 × 5 ) / 2

= 25.

Consequently, it follows that the greatest possible quotient as required is; 25.

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