LCM OF 32, 42 ,48

30 , 42

The maximum number of people who can attend the birthday party at Kindom is 18, given the rental fees and spending limit.

Let's assume the number of people attending the birthday party is "x." The total cost of renting the venue can be calculated as $80.00 (flat fee) + $9.00 (per person) multiplied by "x" people.

So, the equation becomes: $80.00 + $9.00x = $250.00.

To find the maximum number of people who can attend, we solve for "x" in the equation:

$9.00x = $250.00 - $80.00

$9.00x = $170.00

x = $170.00 / $9.00

x ≈ 18.89.

Since the number of attendees cannot be a fraction, we round down to the nearest whole number. Therefore, the maximum number of people who can attend the birthday party at Kindom is 18, given the rental fees and the spending limit of $250.00.

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mamaya kna nag sasagot

Answer:

no the 85 will not be accurate percentage for math test because you don't have any previous math test scores to even get a average grade.

Given data:

The initial value of the temperature is T= 31 degrees Fahrenheit.

The temperature drop is T'= 15 degrees .

The expression for the final value of the temperature is,

Substitute the given values in the above expression.

Thus, the final temperature is 16 degrees Fahrenheit.

To increase real GDP and bring it closer to potential GDP during a recession, the government could increase government spending and/or decrease taxes.

During a recession, when real GDP is below potential GDP, the government can use fiscal policy tools to stimulate economic growth and close the GDP gap. The two options that can be effective in this situation are increasing government spending and decreasing taxes.

Increase government spending: By increasing spending on infrastructure projects, education, healthcare, or other sectors, the government can create demand in the economy, which leads to increased production and employment, ultimately raising real GDP.

Decrease taxes: Reducing taxes can provide individuals and businesses with more disposable income, encouraging consumption and investment. This increased spending and investment can boost aggregate demand, leading to higher production levels and closing the GDP gap.

Decreasing government spending and increasing taxes, on the other hand, would have contractionary effects, potentially exacerbating the recessionary conditions by reducing overall demand in the economy. Therefore, these options are not suitable for increasing real GDP during a recession.

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Answer:

x^2 +11x +30

Step-by-step explanation:

(x+6) * ( x+5)

The blue area is x^2

pink is 6x

green is 5x

orange is 5*6 = 30

Add them together

x^2 +6x+5x+30

x^2 +11x +30

The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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Answer:

Step-by-step explanation:

As the diagram is not drawn to scale, we need to use the given dimensions to find the volume of the oblique cone. The formula for the volume of a cone is given by V = (1/3)πr^2h, where r is the radius of the base and h is the height.

From the diagram, we can see that the height of the oblique cone is 12 inches. To find the radius, we need to use the Pythagorean theorem. The hypotenuse of the right triangle (base of the cone) is 10 inches, and the vertical height of the triangle (slant height of the cone) is 8 inches. Substituting the values of r and h in the formula, we get V = (1/3)π(6^2)(12) ≈ 452.0 in^3. Rounding to the nearest tenth, the answer is (c) 2,269.8 in^3.

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Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

Options :

A. g - 0.05

B. g - 0.05g

C. 0.95g

D. 0.058

E. (1 – 0.05)g

Answer:

B. g - 0.05g

C. 0.95g

E. (1 – 0.05)g

Step-by-step explanation:

Given that :

Amount of Rainfall last week = g inches

Percentage change in Rainfall amount this week = 5%

Rainfall amount this week:

Amount of Rainfall lastweek(100% - 5%)

g(1 - 0.05) = g - 0.05g

g(1 - 0.05)

g(0.95) = 0.95g

Thus the expression, Amount of Rainfall lastweek(100% - 5%) could be rewritten or simplified into any of the expressions above and still arrive at the same solution.

The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Hope has 6 nickels (x) and 10 quarters (x + 4).

How many of each coin Hope has if she has 4 more quarters than nickels and they have a combined value of 280 cents. To solve this problem, we can use algebraic equations.

Let's assume the number of nickels Hope has is x. Then, the number of quarters she has would be x + 4.

Now, we need to find the total value of the coins. Each nickel is worth 5 cents, so the total value of nickels is 5x cents. Similarly, each quarter is worth 25 cents, so the total value of quarters is 25(x + 4) cents. The combined value of the coins is 280 cents, so we can set up an equation:

5x + 25(x + 4) = 280

Simplify and solve for x:

5x + 25x + 100 = 280
30x = 180
x = 6

Therefore, Hope has 6 nickels (x) and 10 quarters (x + 4).

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Answer:

A

Step-by-step explanation:

First we would have to find the equation of the line on the graph:

We know the line meets the y axis at -1, we know that the line goes up 2/3 y every one 1 x, so we can create the equation: y = 2/3x - 1;

The perpendicular line's slope multipllied by the original slope should always equal negative 1 so. X * 2/3 = -1, X = -3/2

The answer is: y = -3/2x, and so answer choice A, it has y = -3/2x so A is the correct answer. :)

Answer:

\(3\sqrt{2}\) or \(\sqrt{18}\)

Step-by-step explanation:

Use 45-45-90 triangle theorem

3*\(\sqrt{2}\)

The ratio between the hour hand and the second hand in a clock is 1:120.

1.1 A clock's ratio between the hour and minute hands can be calculated by looking at how both hands move over a certain amount of time.

In a 12-hour simple clock, the hour hand finishes a full upset (360 degrees) in 12 hours, while the moment hand finishes a full upheaval in an hour. We must compare the angular displacement covered by each hand over the same time period in order to calculate the ratio between the hour and minute hands.

Let's say that after "t" minutes, we want to figure out the ratio.

In 12 hours, the hour hand rotates 360 degrees, or 720 minutes (12 hours x 60 minutes/hour). The hour hand's angular displacement after "t" minutes can therefore be calculated as follows:

Hour hand angular displacement = (360 degrees divided by 720 minutes) x t In a similar fashion, the minute hand rotates 360 degrees every 60 minutes. As a result, the following formula can be used to determine the minute hand's angular displacement after "t" minutes:

Minute hand angular displacement = (360 degrees divided by 60 minutes) x t To determine the ratio, divide the hour hand's angular displacement by the minute hand's angular displacement:

The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of minute hand). By incorporating the respective equations,

The hour hand in a clock is 1:1 because the ratio is equal to ((360 degrees / 720 minutes) x t) / (360 degrees / 60 minutes) x t) = (360 / 720) / (360 / 60) = 1/2.

1.2 A clock's minute hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.

Explanation:

In a clock, the second-hand goes through a full revolution in 60 seconds, while the minute hand goes through a full revolution (360 degrees) in 60 minutes. We must compare their angular displacements over the same time period in order to calculate the ratio between the minute and second hands.

Let's say that after "t" seconds, we want to figure out the ratio.

60 minutes divided by 60 seconds per minute sees the minute hand rotate 360 degrees or 3600 seconds. Therefore, the following formula can be used to determine the minute hand's angular displacement after "t" seconds:

The second hand rotates 360 degrees in 60 seconds, so the minute hand's angular displacement is equal to (360 degrees divided by 3600 seconds) x t. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:

Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the second hand angular displacement by the minute hand:

The final formula is: Ratio = (Angular displacement of minute hand) / (Angular displacement of second hand). By incorporating the respective equations,

((360 degrees / 3600 seconds) x t) / ((360 degrees / 60 seconds) x t) = (360 / 3600) / (360 / 60) = 1/10; consequently, the clock's minute hand to second hand ratio is 1:10.

1.3 A clock's hour hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.

Explanation:

In a clock, the hour hand completes a 360-degree revolution in 12 hours, while the second hand takes 60 seconds to do the same. We must compare their angular displacements over the same time period in order to calculate the ratio between the hour hand and the second hand.

Let's say that after "t" seconds, we want to figure out the ratio.

In 12 hours, the hour hand rotates 360 degrees, or 43,200 seconds (12 hours x 60 minutes/hour x 60 seconds/minute). As a result, the hour hand's angular displacement after "t" seconds can be calculated as follows:

The hour hand's angular displacement is equal to (360 degrees divided by 43,200 seconds) x t. The second hand also rotates 360 degrees in 60 seconds. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:

Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the hour hand's angular displacement by the second hand's angular displacement:

The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of second hand). By incorporating the respective equations,

The hour hand in a clock is 1:120 because the ratio is equal to ((360 degrees / 43,200 seconds) x t) / (360 degrees / 60 seconds) x t) = (360 / 43,200) / (360 / 60) = 1/120.

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Answer:

Yes.

Step-by-step explanation:

"If the school wants to buy 50 of the desktop computers and 25 of the notebook computers will they have enough money?"

To figure that out, first multiply 50 by 1000.

That will give you 50000.

Then, multiply 25 by 1200.

That gives you 30000.

Add those up, 80000 = 80000.

So yes, the school will have enough money.  

Answer:

$220.50

Step-by-step explanation:

245.00×10%=24.50

245.00-24.50=220.50

Answer:

$24.50

Step-by-step explanation:

Answer:

73 and - 17

Step-by-step explanation:

Let the number be x and y, ATQ, 6(x+y)=324 and x-y=90, x+y=56 and x-y=90, x=73 and y=-17

Summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

In mathematics, summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

A sum exists as the result of an addition. For example, adding 1, 2, 3, and 4 provides the sum of 10, written. (1) The numbers being summed are named addends, or sometimes summands.

A summation, also named a sum, is the outcome of arithmetically adding numbers or quantities. A summation always includes a whole numeral of terms. There can be as irregular as two terms, or as many as a hundred, a thousand, or a million. Some summations include infinitely many terms.

Let the number be x and y,

ATQ, 6(x+y)=324 and

x-y=90, x+y=56 and

x-y=90,

x=73 and

y=-17

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Answer:

Step-by-step explanation:

f(2x) means that we have to substitute x with 2x

So, the answer is

2x + 3

Answer:

46 and 47.

Step-by-step explanation:

Let the 1st number be x,

Now,

or, x + x = 92

or, 2x = 92

or, x = 46

Again,

Let the 2nd number be x + 1

And,

x + 1 = 46 + 1 = 47.

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

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Answer:

6

Step-by-step explanation:

15 = 5/2x

15 = 5x/2

30 = 5x

x = 6

Using simple Algebra operation,

Total 17 cards are remianed on table which have the red side up when barsby is finished.

We have the following information about questions:

so, we conclude that,

total number of possible outcomes= 100

In first turn, Sarai , flips up all cards which is divisible by 2

then, the faouable cases that flip card which have a number is divisible by 2 = 50 i.e ={ 2,4,6,8,----,100}

thus, 50 cards are came in position that yellow colour top up .

In second time, she flips the card such that card has a number divisible by 3

favoulbe cases in this case = 33

so, these 33 cards are also came in position that yellow colour top up.

Now, the numbers of cards in which yellow colour side is top up = 33+50 = 83

we have to calculate the number of cards with red colour side top up.

so, the number of cards with red colour side top up = total cards - yellow colour side top up cards

= 100 - 83 = 17

Hence, after the fliping process, total 17 cards are remianed on table with red colour side at top.

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Answer:

-15(4) or -4(15) or 15(-4)

Step-by-step explanation:

As long as you stick with the same variables, you can change their position in the equation or change both of their signs. This should give you the same answer.

Let's say your equation was -2(6). This means you must multiply -2 and 6. This should give you -12. You could also phrase it as 2(-6) or -6(2) or 6(-2). They all give you -12 as a result.

Answer:

(-1)(15+15+15+15)

(-15)+ (-15)+ (-15)+ (-15)

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the division of x³y by x⁴y is equal to 1/x.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The division of x³y by x⁴y can be done as,

x³y/x⁴y

= x⁽³⁻⁴⁾ y⁽¹⁻¹⁾

= x⁻¹

= 1/x

Hence, the solution of the division of x³y by x⁴y is equal to 1/x.

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Answer:

The point M(Mx, My) is mid-point of TU with T(Tx, Ty) and U(Ux, Uy).

=> 2*Mx = Tx + Ux => 2*Mx = -8 + 6 => Mx = -1

=> 2*My = Ty + Uy => 2*My = 4 + (-1) => My = 3/2

=> M(-1, 3/2)

Hope this helps!

:)

Answer:

( -1, 3/2)

You insert your variables into the midpoint formula in order for you to get the right answer