Which of the following is most likely the next step in the series?

Answer:

Se obtendrá 9 trozos de cuerda.

Step-by-step explanation:

Para que sea cada trozo de igual extensión, pero lo más posible, se tiene que encontrar el máximo común divisor de 96 y 120 para determinar la longitud máxima del trozo. Se realiza el siguiente procedimiento para determinar el máximo común divisor:

1) Se determina cada número como producto de números primos:

[tex]96 = 2^{5}\times 3[/tex]

[tex]120 = 2^{3}\times 3 \times 5[/tex]

2) Se determina los números primos comunes de cada número y se multiplican entre sí:

[tex]x = 2^{3}\times 3[/tex]

[tex]x = 8\times 3[/tex]

[tex]x = 24\,m[/tex]

Cada trozo debe ser de 24 metros de longitud.

Ahora se determina el número de trozos al dividir la longitud total por el resultado anterior:

[tex]n = \frac{120\,m+96\,m}{24\,m}[/tex]

[tex]n = 9[/tex]

Se obtendrá 9 trozos de cuerda.

Answer:

It makes the calculation easy and quick.

Step-by-step explanation:

When you multiply as it is given:

Using the commutative property makes it much easier:

Answer:

see below.

Step-by-step explanation:

its a commutative property of multiplication.

it doesn't matter in order or not... the result will always be the same.

form your example 5×87×2, if you use a calculator it doesn't matter which number you start.

say 2 x 87 x 5 = 870

or 87 x 5 x 2 = 870

or 5 x 2 x 87 = 870

see the results are all the same no matter which way you go.

Answer:

C.$150

Step-by-step explanation:

The sales man told her that he would sell it to he for ⅓ of the marked price.

Given:

Marked Price= $450

⅓

Required:

⅓ of the marked price or $450

Formula:

⅓*$450

Solution:

⅓ of $450

⅓*$450

$450/3

$150

Hope this help ;) ❤❤❤

Answer:

A.180

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

it would be about $592.67.

Step-by-step explanation:

1) 254/3 = 84.666666667

2) 84.666666667 * 7 = 592.666667

3) 592.666667 ≈ 592.67

Answer:

5.92.67

Step-by-step explanation:

Answer:

JK = 42

KL = 78

Step-by-step explanation:

To find the lengths of JK and KL, we need to first find the value of x. We know that the length of the entire line is 120. That means we need to add the lengths of JK and JL and set it equal to 120.

4x+6+7x+15 = 120

Combine like terms.

11x+21 =120

Subtract 21 from each side.

11x= 99

Divide both sides by 11.

x=9

Now that we know the value of x, we simply plug it into the equations to find out the lengths of each line segment.

JK = 4x+6

4(9)+6 (x is plugged in)

36+6 = 42

JK=42

Now lets do KL.

7x+15

7(9)+15

63+15 = 78

KL = 78  

The values of JK = 42 and KL= 78.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment JL , where the length of line segment JL refers to the distance between its endpoints, J and L.

Given that JL = 120,

And JK = 4x + 6 and  KL= 7x + 15

J_________K______________L

⇒ JL = JK + KL

⇒ 120 = 4x + 6 + 7x + 15

⇒ 120 = 11x + 21

⇒ 11x = 99

⇒ x = 9

Substitute the values of x = 9 in the JK = 4x + 6 and  KL= 7x + 15,

JK = 4(9) + 6 = 42

KL= 7(9) + 15 = 78

Hence, the values of JK = 42 and KL= 78 .

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Answer:

  45+π ≈ 48.1415926536

Step-by-step explanation:

Maybe you want the sum of 45 and pi:

  45+π ≈ 48.1415926536

The sum is irrational, so cannot be expressed exactly, except in the form 45+π.

Answer:

Step-by-step explanation:

step one :

first and foremost we are going to list the sample space related to a die

the same space is  S= {1,2,3,4,5,6}= 6

step two:

now the even numbers in the sample space are ={2,4,6}= 3

hence we can solve for the probability of obtaining an even number to be

Pr(even number)= 3/6= 1/2.

step three:

since we are to provide the answer in percentage format, we can easily do this by multiplying the answer by 100 to get the percentage

(1/2)*100= 0.5*100= 50%

Answer:

z = -6

Step-by-step explanation:

[tex]-4z=24\\\\\frac{-4z=24}{-4}\\\\ \boxed{z=-6}[/tex]

Hope this helps.

Answer: The answer is (-∞, ∞)

Step-by-step explanation:I hope this helps!

Answer:

55.6 m

Step-by-step explanation:

sin(62)=x/63

63sin(62)=x

63*0.8829=x

x=55.6 m

We can use the distance formula to solve: √(x2-x1)²+(y2-y1)²

Side SA:

√(2-(-2))²+(3-(-3))²

√4² + 6²

√16 + 36

√52

≈ 7.21

Side AN:

√(5-2)²+(-4-3)²

√3² + -7²

√9 + 49

√58

≈ 7.62

Side NS:

√(-2-5)²+(-3-(-4))²

√-7² + 1²

√49 + 1

√50

≈ 7.07

Therefore, the shortest side is "NS"

Best of Luck!

Answer:

24

Step-by-step explanation:

We are given segment XZ and point Y. First, draw a number line. Draw X and Z on either side of the number line. We know that Y is between X and Z since there are the distances of XY and YZ. To find XZ, add the distance of XY and YZ, which are respectively 7 and 17. Adding 7 and 17, we get 24 as the answer.

The value of XZ is 24.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment XZ, where the length of line segment XZ refers to the distance between its endpoints, X and Z.

Given that a line segment XZ and point Y that lies on XZ

XY = 7 and YZ = 17

Here XZ = XY + YZ

X_____________Y_______________Z

⇒ XZ = XY + YZ

Substitute the values of  XY = 7 and YZ = 17, we get

⇒ XZ = 7 +  17

Apply the addition operation in the above equation,  

⇒ XZ = 24

Therefore, the value of XZ is 24.

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Answer:

Both angles B and C are equal to 40°

Step-by-step explanation:

The diagram tells you that the triangle is an isosceles triangle. From this we know that angles B and C will be equal to each other. To find what the angle measures are, we are going to set the two given expressions equal to each other, solve for x, and the plug x back in to get the two angle measures.

[tex]2x+10=3x-5\\10=x-5\\15=x[/tex]

Now we are going to plug x back into each expression to solve for angles B and C.

Angle B

[tex]2x+10[/tex] ⇒ [tex]2(15)+10=40[/tex]

Angle C

[tex]3x-5[/tex] ⇒ [tex]3(15)-5=40[/tex]

Both angles B and C are equal to 40°

Answer:Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

range is The zero doesn't matter. You still subtract the lowest number from the highest. If zero is the lowest number, then the highest number is the range. If the set consists of negative numbers, and zero is the highest number, then the lowest number (without its negative sign) is the range.

0

Answer:

Step-by-step explanation:

2a + 3 - 4a + 8 = 7

-2a + 11 = 7

-2a = -4

a = 2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(2a + 3) - (4a - 8) = 7}[/tex]

When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression

[tex] \longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}[/tex]

Add the numbers: 3 and 8

[tex] \longrightarrow{ \sf{ - 2a + 11 = 7}}[/tex]

Move 11 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2a = 7 - 11}}[/tex]

Subtract 11 from 7

[tex] \longrightarrow{ \sf{ - 2a = - 4}}[/tex]

Divide both sides by -2

[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}[/tex]

Calculate

[tex] \longrightarrow{ \sf{a = 2}}[/tex]

Hope I helped!

Best regards! :D

Apples and people don't make much sense as an answer here, so we can rule out B and D. Choice A can be ruled out as it seems redundant to say "money compares money over time". It makes more sense to say "Money compares value (over time)".

Answer:

23

Step-by-step explanation:

(4 x 23) -20 = 72

Answer:

450 x 15 = 6750 ft 2

Step-by-step explanation:

Answer:

-4.

Step-by-step explanation:

5(m - 1) = -25

m - 1 = -5

m = -4.

Answer:

m = -4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

m = -4

Answer:

yes

Step-by-step explanation:

[tex](3x-1)(3x+1)=9x^{2}-1[/tex] [tex]=\frac{9x^{2} }{9}-\frac{1}{9}=[/tex] [tex]x^{2} -\frac{1}{9}[/tex]

[tex](x-1/3)(x+1/3)=x^{2} -\frac{1}{9}[/tex]

Answer:

6

Step-by-step explanation:

Pa = 3x-4. Pr = pa+ar

Ar = 7

3x-4+7= 21

Combine light terms

Then order of operations

3x-3=21

3x-18

X=6

The required value of x is 6

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =.

Now it is given that,

PA = 3x-4

PR = 21 meters

AR=7 meters

Since point A is between point R and point P.

Thus we can write,

PR = PA + AR

Put the values of PA,PR and AR we get,

21 = 3x - 4 + 7

Subtracting 7 both the side we get,

3x - 4 = 14

Adding 4 both the side we get,

3x = 18

Dividing both side by 3 we get,

x = 6

which is the required value of x.

Thus, the required value of x is 6.

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Answer:did you check and see if anybody asked this question before??

Step-by-step explanation:

The total distance did Aaron walk today is 4.70 miles.

It is required to find the total distance.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given :

Aaron walks 2 1/8 miles to his friends.

He walk 5/6 miles to the park.

Again he walks 1 3/4 miles to get back home.

Total distance=

2 1/8 miles+5/6 miles+ 1 3/4 miles

=17/8+5/6+7/4

=4.70 miles

Therefore, the total distance did Aaron walk today is 4.70 miles.

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Answer:

32

Step-by-step explanation:

Hope this will help:)

Answer:

[tex]6 \frac{1}{4} =\frac{25}{4} \\\\2 \frac{1}{5} = \frac{11}{2}\\\\[/tex]

[tex]\frac{25}{4} \times \frac{11}{2} = \frac{275}{8}=34 \frac{3}{8}[/tex] (Amount Jona hiked)

Answer:

13 3/4

Step-by-step explanation:

Answer:33

Step-by-step explanation:

3/2 —> 1.5

1.5(100-C) C is 78°

1.5(100-78)

1.5(22)

33

The temperature in degrees Celsius, if the function of the relationship is given as 78 = 3/2(100 - C), is calculated as: C = 48

A function is a form of equation that relates one quantity that changes with another.

Given the formula for the function representing the relationship between D and C as, D = 3/2(100 - C), to find the temperature in degrees Celsius when the D = 78, substitute D = 78 into D = 3/2(100 - C).

78 = 3/2(100 - C)

(2)(78) = 3(100 - C)

156 = 3(100 - C)

156/3 = 100 - C

52 = 100 - C

52 - 100 = -C

-48 = -C

C = 48

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Answer:

83 degress

Step-by-step explanation:

We know that every hour it dropped 8 degress. If it dropped from 4pm to 8pm, that means it dropped 4 times. 3x4=12 so we do 95-12 which equals 83.

Answer:

1/2

Step-by-step explanation:

Step 1:

4/6x + 3/6 + 5/6

Step 2:

4/6x = 2/6

Step 3:

2/6 times 6/4

Answer:

1/2

Hope This Helps :)