The lowest comman multiple of 54 and 240

Answer:

8.9

Step-by-step explanation:

There are no letters to define this properly, but the hypotenuse of the triangle with the sides 2 and 4 is = √(2²+4²) = √20 (pythagorean theorem)

Now we can find x, using pythagorean theorem again.

√20²+ x² = 10²

100 - 20 = x²

x = √80 = 4√5 ≈ 8.9

Cheers!

Answer:The man had hiccups. The barman recognized this from his speech and drew the gun in order to give him a shock. It worked and cured the hiccups so the man no longer needed the water.

Step-by-step explanation:

The equation (3/5)(30x - 15 )= 72 will be equal to the expression 18x - 9 = 72. The correct option is C.

What is an expression?

Expression in math is defined as the collection of the 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.

Now,

The given expression (3/5)(30x - 15 )= 72 will be calculated as:-

(3/5)(30x - 15 )= 72

Multiply the left-hand side of the equation by ( 1 / 5 ) and solve.

(3 )(6x - 3 )= 72

Multiply the left-hand side of the equation by (3 ) and solve.

18x - 9 = 72

Therefore, the equation (3/5)(30x - 15 )= 72 will be equal to the expression 18x - 9 = 72. The correct option is C.

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The complete options are given below:-

A). 18x - 5 = 72

B) 50x - 25 = 72

C) 18x - 9 = 72

D) x = 4.5

Answer:

The proper linear equation is written in following form: y = mx + b (where m is slope, and b is y-intercept). Since we already have the slope, we need to find the y-intercept, b

So we plug in what we have:

y = mx + b

-1 = (-3)(6) + b, where we solve for b

-1 = -18 + b

b = 17

Finally, the equation of the line that passes through point (6, -1) and has a slope of -3 is y = -3x + 17

The probability of rolling a 5 on at least one of the dice is P(A)=8/9 ways

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

As given in the question if two six-sided dice are rolled, the probability of rolling a 5 on at least one of the dice:

for two six-sided dice total outcomes =36 ways

the probability of rolling a 5 on at least one of the dice is 4 ways.

P(A)=1-4/36

36-4/36

32/36

P(A)=8/9

Therefore, The probability of rolling a 5 on at least one of the dice is P(A)=8/9 ways.

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 27337\\ P=\textit{original amount deposited}\dotfill & \$90000\\ r=rate\to 6.75\%\to \frac{6.75}{100}\dotfill &0.0675\\ t=years \end{cases} \\\\\\ 27337 = (90000)(0.0675)(t) \implies \cfrac{27337}{(90000)(0.0675)}=t\implies 4.5\approx t[/tex]

Answer:

4.5 years

Step-by-step explanation:

I = $ 27,337.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.75%/100 = 0.0675 per year,

then, solving our equation

I = 90000 × 0.0675 × 4.5 = 27337.5

I = $ 27,337.50

The simple interest accumulated

on a principal of $ 90,000.00

at a rate of 6.75% per year

for 4.5 years is $ 27,337.50.

The additive inverse of − 5 − 7 is 12

The additive inverse of a number is the number that when added to the original number results in zero.

For example, the additive inverse of 5 is -5 because 5 + (-5) = 0.

In our question, the additive inverse of − 5 − 7 would be the number that when added to − 5 − 7 would give zero.

So, the additive inverse of -12 is 12 because -12 + 12 = 0

It is important to note that for any number 'a', its additive inverse is always -a. So if we take any number as a, its additive inverse will be -a.

In summary, additive inverse is the opposite of a number in terms of addition, and it is a number that when added to the original number it results in zero. and the additive inverse of -12 is 12.

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A test using traceroute command is performed to a destination site. The number of routers in this test is 8. The second test is performed after two hours and the paths does not change. In general case, the paths might change if there are network problems and it needs to do re-routing.

Traceroute is a command like ping command used for isolating problems in the network. Unlike ping command, traceroute does not need to know the IP address of the destination site.

The TTL (Time to Live) field in the IP packet header is used by Traceroute. TTL is typically used to prevent packets from being sent indefinitely when there is a routing loop. When a router forwards an IP packet, the TTL is reduced by one. When the TTL reaches zero, the IP packet is dropped.

This is an example for the result of traceroute command:

C:\Users\ayuner>tracert  [31.13.64.35]

Tracing route to  [31.13.64.35]

over a maximum of 30 hops:

1     9 ms     8 ms     8 ms  D5644061.static.ziggozakelijk.nl [215.99.12.17]

 2     9 ms    14 ms     8 ms  tb-rc0001-cr101-ae40-0.core.as9143.net [213.51.158.66]

 3    10 ms    12 ms    11 ms  asd-tr0042-cr101-ae5-0.core.as9143.net [213.51.158.18]

 4    14 ms    12 ms    12 ms  br02.ams1.tfbnw.net [80.249.209.164]

 5    12 ms    12 ms    13 ms  po131.asw01.ams3.tfbnw.net [157.240.35.46]

 6    12 ms    12 ms    13 ms  po232.psw01c.amt2.tfbnw.net [157.240.35.175]

 7    13 ms    12 ms    12 ms  msw1ad.01.amt2.tfbnw.net [173.252.64.255]

 8    12 ms    11 ms    13 ms  edge-star-mini-shv-01-amt2 [31.13.64.35]

Trace complete.

Your question is incomplete. Most likely it was:

Perform a Traceroute between source and destination on the same continent at three different hours of the day. Find the number of routers in the path at each of the two hours. Did the paths change during any of the hours?

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A statement which best describes the function represented by the graph include the following: B) The function is decreasing on the interval (-∞, ∞).

For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.

On the other hand (conversely), if the output value (range or y-value) is increasing when the input value (domain or x-value) is increased, then, the function is generally referred to as an increasing function.

By critically observing the graph above, we can reasonably infer and logically deduce that this function is decreasing over the interval -∞ < x < ∞, from left to right.

In conclusion, the output values (range or y-values) of this function are decreasing from left to right i.e as we move towards the right.

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Answer:

x = -4

Step-by-step explanation:

4(2-x)=24

8 - 4x = 24

-4x = 16

x = -4

Let's check

4(2 -( -4)) = 24

4 (6) = 24

24 = 24

So, x = -4 is the correct answer!

Answer:

x=4

Step-by-step explanation:

4(2-x)=24

4*2= 8   4*x = 4x

8-4x = 24

24-8 = 16

4x = 16

16/4 = 4

x=4

The average speed of the car is 40 km/hr.

It would take a car 3 hours to cover 120 km at a speed of 40 km/h.

The car moves for a time period of 3 hours.

The car has to travel a total distance of 120 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

speed s = d/t = 120/3 = 40 km/hr.

Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.

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The equation of the lines obtained by the special characteristics of the points on the line that have one (either x or y) constant coordinate value are;

9. The equation is; x = 3

10. The equation is; y = -1

The equation of a straight line is an equation that is valid for the ordered pairs of the variables on the graph of the line. The equation of a straight line in slope-intercept form is; y = m·x + c

Where;

m = The slope of the line, which is the ratio of the rise to the run of the line

c = The y-intercept, which is the point the line intersects the y-axis;

9. The points on the line are; (3, -1), (3, 2), and (3, 4)

The x-coordinates of the three points on the line are each x = 3, therefore, the line is a vertical line, with a slope, m = ∞.

The equation (that satisfies the points) of the line is therefore; x = 3

10. The points on the line are; (5, -1), (1, -1), and (-3, -1)

The y-coordinates of the points on the line are the same and equal to -1, therefore, the line is an horizontal line that passes through the point y = -1. The the change in the y-values is 0, therefore, the slope of the line, m = 0 and the equation of the line is therefore;

y = -1

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Answer: 0.06

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer: 0.06

Step-by-step explanation:

The compound inequality's solution set is represented by the symbol x. (2 , 6).

The intersection of the answers to each individual inequality is the answer to a compound inequality, which is a pair of inequalities connected by the word and. Alternatively put, both claims have to be accurate simultaneously.

The inequality is expressed as follows: 8x - 9 39 and 3.5x - 10 > -3.

Take one: 3.5x - 10 > -3

Then multiplying by 10 on each sides

⇒ 3.5x - 10 + 10 > -3 + 10

⇒ 3.5x > 7

the two sides are now divided by 3.5.

⇒ x > 2

Now, 8x - 9 < 39

On all sides, add 9.

⇒ 8x - 9 + 9 < 39 + 9

⇒ 8x < 48

then multiply both sides by 8 now.

⇒ x < 6

The compound inequality presented has the following solution set: x (2 , 6).

The complete question is,

In which case does the compound inequality's solution set exist? A, B, C, D for 3.5x-10>-3 and 8x-939.          

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Answer:

Step-by-step explanation:

You want to find the values of the variables in various expressions for angles, sides, or diagonals of parallelograms.

A parallelogram is a quadrilateral (4-sided polygon) with opposite sides parallel. The opposite sides are also the same length.

Opposite angles in a parallelogram are congruent (have the same measure), and adjacent angles are supplementary (total 180°).

The diagonals of a parallelogram bisect each other, so the halves of a diagonal are the same length.

These are the relationships you need to know in order to solve these problems.

Opposite sides are the same length.

  XY = WZ

  3a -4 = a +2

  2a = 6 . . . . . . . . . add 4-a to both sides

  a = 3

and ...

  YZ = XW

  2b = b +1

  b = 1 . . . . . . . . . subtract b

Opposite angles are congruent.

  ∠C = ∠A

  2y -40 = y +10

  y = 50 . . . . . . . . . . add 40-y to both sides

Adjacent angles are supplementary

  (y+10) +4x = 180

  50 +10 +4x = 180 . . . use the above value for y

  4x = 120 . . . . . . . . . . subtract 60

  x = 30 . . . . . . . . . . . divide by 4

Diagonals bisect each other. Call the center point X where the diagonals cross.

  HX = PX

  x -3 = 15

  x = 18 . . . . . . . add 3

and ...

  EX = QX

  y +3 = 12

  y = 9 . . . . . . . subtract 3

Same as problem 3.

  NX = LX

  4x = x +6

  3x = 6 . . . . . . . subtract x

  x = 2 . . . . . . . divide by 3

and ...

  MX = OX

  5y -8 = 3y +1

  2y = 9 . . . . . . . . add 8-3y to both sides

  y = 4.5 . . . . . . . divide by 2

__

Additional comment

In general, geometry problems of this sort are solved by making use of the relationships between angles, sides, perimeter, and area of geometric figures. You are expected to remember facts and formulas about these figures that would help you write equations and solve problems like this.

A rhombus is a special parallelogram that has perpendicular diagonals. A rectangle is a special parallelogram that has right-angle corners and congruent diagonals. A square is a special of both of those: a rectangle with perpendicular and congruent diagonals.

hope it helps you

thank you

Answer:

25°

Step-by-step explanation:

We know the measure of a straight line is 180° . And therefore the measure of the given two co linear angles would be 180° . So ,

[tex]\implies \rm 5x-5+2x +10=180\\ [/tex]

[tex]\implies \rm 7x +5 =180\\ [/tex]

[tex]\implies \rm 7x = 180-5 = 175\\ [/tex]

[tex]\implies \rm x =\frac{175}{7}= 25^o[/tex]

And we are done

The original price of the tech stock would be = $358.38

The decrease in price of the stock tech in first week = 22%

The decrease in the second week = 15%

The total decrease = 22+15 = 37%

If 37% of the price after its decrease = $132.60 then it's 100% would = X

That is 37% = $132.60

100% = X

Make X the subject of formula;

X = 100 × $132.60/ 37

= 13260/37

= $358.38

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The total weight lost by Luke and Liam each is 6 pounds

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

Luke's weight loss journey;

Weight luke lost in the first week; x pounds

The weight he lost in the second week is 3/2 pounds less than 3/2 times the pounds he lost in the first week. Thus;

Weight luke lost in the second week = ³/₂x - ³/₂ pounds

In the third week, he lost 1 pound more than 3/4 of the pound he lost in the first week. Thus;

Weight luke lost in the third week = (³/₄x) + 1 pounds

Total weight lost by luke in 3 weeks = x + ³/₂x - ³/₂ + ³/₄x + 1

=¹³/₄x - ¹/₂

Liam's weight loss journey;

First week he lost 1 pound less than 3/2 times the pounds luke lost in the first week

Weight Liam lost in the first week; ³/₂x - 1 pounds

The weight he lost in the second week is 4 pounds less than 5/2 times the pounds luke lost in the first week. Hence:

Weight Liam lost in the second week = ⁵/₂x - 4 pounds

In the third week, he lost 1/2 pound more than 5/4 of the pound luke lost in the first week. Hence:

Weight Liam lost in the third week = (⁵/₄x) + ¹/₂ pounds

Total weight lost by Liam in 3 weeks = ³/₂x - 1 + ⁵/₂x - 4 + ⁵/₄x + ¹/₂

⇒ ²¹/₄x - ⁹/₂ pounds

uke and Liam lost the same weight over 3 weeks. Hence:

¹³/₄x - ¹/₂ = ²¹/₄x - ⁹/₂

⇒ ²¹/₄x - ¹³/₄x = ⁹/₂ -  ¹/₂

⇒ 2x = 4

x = 4/2

x = 2

The expression for Luke's weight loss over the 3 weeks =

¹³/₄x - ¹/₂ pounds

The expression for Liam's weight loss over the 3 weeks =

²¹/₄x - ⁹/₂ pounds

The number of pounds Luke lost in the first week =

x = 2 pounds

The number of pounds Luke and Liam each lost over the three weeks = 6 pounds

Therefore, the total weight according to expression lost by Luke and Liam each will be 6 pounds

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What is arithmetic progression ?

An arithmetic progression (AP) can be described in one of two ways:

A sequence known as an arithmetic progression has identical differences between each pair of terms in the sequence.

Arithmetic progressions are sequences where each term, with the exception of the first, is created by multiplying the previous term by a predetermined amount.

The formula for calculating the  nth term of an arithmetic progression is expressed as:

Tn = a + (n + 1)d

where a is the first term, d is a common difference.

A linear function is described by the explicit formula below, where n is a positive integer.

f(n) = 5n +12

For the first term

f(1) = 5(1) + 12

f(1) = 17

For the second term

f(2) = 5(2) + 12

f(2) = 22

d = 22 - 17

d = 5

Therefore, a = an+1 + 5 is the recursive formula that expresses the same function.

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To round a number to the nearest tenth , look at the next place value to the right (the hundredths)

F(x)=(1.05)^-x

F(0)= 9.1.05°

=9

When x is infinite

F(x) is 0

To round a number to the closest hundred: =FLOOR(A2, 100) (A2, 100)

To round a number to the closest hundred: =CEILING(A2, 100) (A2, 100)

To round a number up or down to the closest hundred. =MROUND(A2, 100) (A2, 100)

We can round decimals to a given degree of precision or number of decimal places. When exact quantities are not critical, this is utilized to make calculation easier and outcomes easier to grasp.

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Answer: b = 2/ 81

Step-by-step explanation: From the question

11 + 2/ 9b = 23

Subtract 11 from both sides

11 - 11 + 2/ 9b = 23 -11

It becomes 2/ 9b = 12 (12 can also be written like this: 12/ 1)

Cross multiply

9b * 12 = 2 * 1

81b = 2

b = 2 / 81

Answer:

b= 54

Explanation:

11 + 2/9b = 23

2/9b = 23 -11

2/9b = 12

2 x 9b/9b = 12 x 9b

2 = 12 x 9b

12 x 9b = 2

108b = 2

b = 2/108

b = 1/54

Answer:

Step-by-step explanation:

Because this is a greater than or equal to, we will set up the inequality system to look like this:

[tex]\frac{1}{4}x-2\leq -7[/tex]  OR  [tex]\frac{1}{4}x-2\geq 7[/tex] and solve both inequalities, one at a time.

[tex]\frac{1}{4}x\leq -5[/tex] so

[tex]x\leq -20[/tex]

The other one:

[tex]\frac{1}{4}x\geq 9[/tex] and

[tex]x\geq 36[/tex]

The graph would show all numbers less than or equal to -20 and those grater than or equal to 36. This is a true disjunction, so our answer is viable.

The functions when evaluated are

Function (1)

Given that

f(n) = -4n³ - 17n² - 10n + 8 at n = -3

This means that

f(-3) = -4(-3)³ - 17(-3)² - 10(-3) + 8

Expand the brackets

f(-3) = 108 -153 + 30 + 8

Evaluate the like terms

f(-3) = -7

Function (2)

Here, we have

f(n) = -6n⁴ + 38n³ - 16n² + 28n - 29 at n = 6

This means that

f(6) = -6(6)⁴ + 38(6)³ - 16(6)² + 28(6) - 29

Expand the brackets

f(6) = -7776 + 8208 - 576 + 168 - 29

Evaluate the like terms

f(6) = -5

Function (3)

Here, we have

f(a) = 3a³ + 6a² - 15a - 19 at a = -3

This means that

f(-3) = 3(-3)³ + 6(-3)² - 15(-3) - 19

Expand the brackets

f(-3) = -81 + 54 + 45 - 19

Evaluate the like terms

f(-3) = -1

Function (4)

Incomplete

Function (5)

Here, we have

f(a) = a⁴ - 6a³ + 2a² + 25a - 9 at a = 4

This means that

f(4) = (4)⁴ - 6(4)³ + 2(4)² + 25(4) - 9

Expand the brackets

f(4) = 256 - 384 + 32 + 100 - 9

Evaluate the like terms

f(4) = -5

Function (6)

Here, we have

f(x) = x⁴ + 3x³ - x² + 13x + 13 at x = -4

This means that

f(-4) = (-4)⁴ + 3(-4)³ - (-4)² + 13(-4) + 13

Expand the brackets

f(-4) = 256 - 192 -16 - 52 + 13

Evaluate the like terms

f(-4) = 9

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Answer:

77.5

Step-by-step explanation:

55 and 100 average provides comprehensive information about what is the average of 55 and 100, and how it is being calculated mathematically. To calculate the average, the given quantities 55 and 100 can be of any physical quantity but both should have been expressed in the same measurement units.

55 and 100 average:

= (55 + 100)/2,

= 155/2,

= 77.5

Answer:

2x-3

Step-by-step explanation:

Apply Multiplicative Distribution Law: 6x - 3 - 4x

Combine like terms:2x-3

Patterns where the output is addition or subtraction the same value is Linear

Patterns where the output is multiplying or dividing the same value is Exponential.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given:

We know In a linear relationship the y-values have equal differences.

Then, we can say that linear relation support addition and subtraction.

Thus, Patterns where the output is addition or subtraction the same value is Linear

Now, In an exponential relationship, the y-values have equal ratios.

Then, we can say that exponential relation support multiplying or dividing.

Thus, Patterns where the output is multiplying or dividing the same value is Exponential.

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