A total of 716 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 more student tickets sold than adult tickets. How many adult tickets were sold?

Answer:

12

Step-by-step explanation:

UV + VW = UW

[tex]5+(4x-1)=5x+2[/tex]

Remove brackets:

[tex]5+4x-1=5x+2[/tex]

Solve [tex]5-1=4:[/tex]

[tex]4x+4=5x+2[/tex]

Subtract 4 from both sides:

[tex]4x+4-4=5x+2-4[/tex]

[tex]4x=5x-2[/tex]

Subtract 5x from both sides:

[tex]4x-5x=5x-2-5x[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]

[tex]x=2[/tex]

[tex]UW=5x+2=5(2)+2=10+2=12[/tex]

Answer:

6x-30

Step-by-step explanation:

you use distribution

Answer: 6x -30

Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.

Answer: B

Step-by-step explanation:

Answer:

option B, square root of 13

Step-by-step explanation:

i took the quiz on edge and got it right. :,)

1.40 x 21 passes = 29.40 for passes.

38.40 - 29.40 = 9.00

He spent $9.00 on the card

Answer:

(A) $8,439.91

Step-by-step explanation:

Just took test

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3.8x-2(x-9)=4.4x+5[/tex]

Distribute the -2:

[tex]3.8x+(-2x+18)=4.4x+5[/tex]

Combine like terms on the left:

[tex]1.8x+18=4.4x+5[/tex]

Subtract 1.8x from both sides. The left cancels:

[tex]18=2.6x+5[/tex]

Subtract 5 from both sides. The right cancels:

[tex]13=2.6x[/tex]

Divide both sides by 2.6:

[tex]x=13/2.6[/tex]

Simplify (multiply both layers by 10 to get rid of the decimal):

[tex]x=130/26[/tex]

Reduce (divide both layers by 26):

[tex]x=5[/tex]

So, the value of x is 5.

Answer:

5

Step-by-step explanation:

Step 1:

3.8x - 2 ( x - 9 ) = 4.4x + 5

Step 2:

3.8x - 2x + 18 = 4.4x + 5

Step 3:

1.8x + 18 = 4.4x + 5

Step 4:

18 = 2.6x + 5

Step 5:

13 = 2.6x

Answer:

5 = x

Hope This Helps :)

Answer:

  They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

In order for the composition of the functions to be commutative, we must have ...

  f(g(x)) ≡ g(f(x))

for all values of x.

Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.

Answer:

D. edg 2022

Step-by-step explanation:

Answer:

The numeric value is a statistic because the data set of salaries of 50 employees is a sample

Step-by-step explanation:

50 of a company's 800 employees is $54,000.

800 is the population, of all the employees of the company

$54,000 is the value of 50 employees which sample or subset is of 800 employees

Answer:

i think the answer is A

Step-by-step explanation:

if u select the answer C then he will not be able to collect at least 1000

each week but he can collect less.

as remaining 6 weeks and remaining signatures at least(point to be noted)

1000-520=480

so each week he will collect at least= 480/6=80 its at least but he can collect more than 80 because the limit is at least 1000.......

so the answer is including 80 or more than that....that means the answer is A.......THANK U(I think its the answer but not 100% sure)

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C

Answer: 1.) 2n 2.) z+6 3.) 20 years old

Step-by-step explanation:

Answer:

answer one: 2n

answer two: z + 6

answer three: 20 years old

Step-by-step explanation:

edge 2020

Answer:hi

Step-by-step explanation:

Answer:

round them up

Step-by-step explanation:

Answer:

50.75

Step-by-step explanation:

253.75/5

Answer:

yes it is

Step-by-step explanation:

Answer:

a. The definition that l and m are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle

The above definition is correct because, where two lines intersect, forming an angle of 90° with each other, then, by definition of perpendicular lines, the direction of one line is perpendicular to the other

The advantage of the above definition are;

1) It is simply stated and therefore, will be easier to understand

2) It can be easily used to test the perpendicular relationship between two objects

Disadvantages

1) It gives limited description of the other characteristics of the line

2) It does not state if the lines extend past each other after the point at which they cross

b. For the definition, l and m are perpendicular if they meet at one point and all four of the angles at their point of intersection are right angles

The above definition is correct as it meets the condition of two lines to be perpendicular to each other

Advantages

1) It clearly describes the relationship between the lines and their appearance

2) It indicates that the sun of angles at the point of intersection is 360°

Disadvantage

1) The resulting detail of the four angles may lead to ambiguity in the case where the two lines do not cross and there are only three angles formed at the point

c. For the definition, l and m are perpendicular if they meet at one point and reflection about l maps m to itself

The above definition is correct as it indicates the requirement for the continuity of the definition of the on line after crossing the other line

Advantages

1) It defines the condition of perpendicularity without the requirement for measuring the angles

2) It states the symmetrical condition of perpendicular lines about the vertical axis

Disadvantages

1) It requires further clarification in order to be related to the original definition of perpendicular lines being lines that are at right angle to each other.

Step-by-step explanation:

Answer:

{2, 5, 11}

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Answer:

The answer is "96.864 ml".

Step-by-step explanation:

In this question, the formula of [tex]\bold{CI = X \pm t \times s}[/tex].

( where X is the mean, t is the coefficient, and s is the mean difference error)

As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is [tex]t=1.96[/tex].  

And it can take [tex]\pm \ 1.6 \ ml[/tex] to have been the full value the standard infinite:  [tex]\to CI = 100 \pm (1.96 \times 1.6) \\\\[/tex]

         [tex]= 100 \pm (3.136) \\\\[/tex]

Consequently, if the standard error is  [tex]\pm \ 1.6 \ ml[/tex] , a similar amount should be used to fill  

[tex]= 100 - 3.136 \\\\= 96.864 \ \ mL[/tex]

Answer:

1 1/2 = 36/24

3/8 = 9/24

5/6 = 20/24

3 = 72/24

Step-by-step explanation:

if this answers it or it is just 12

The least common multiple of these two denominators 6 and 12 is 2.

To find the least common multiple (LCM) of the denominators 6 and 12, follow these steps:

Step 1: Prime factorize each denominator.

6 = 2 × 3

12 = 2 × 2 × 3

Step 2: Identify the highest power of each prime factor.

In this case, the highest power of 2² is 2 and the highest power of 3 is 3.

Step 3: Multiply the highest powers of all prime factors.

[tex]2^2 * 3^1 = 4 * 3 = 12[/tex]

Therefore, the LCM of the denominators 6 and 12 is 2.

Learn more about Least common multiple here:

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The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.

To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.

Now, we have,

The product doesn't fail within 2 years, and the company earns $50 from the warranty.

The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.

The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,

and the probability of the product failing within 2 years is 0.05.

Now, we have to find the expected value (E(X)):

[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]

Where:

[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95

[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50

[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05

[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)

E(X) = 0.95 * $50 + 0.05 * (-$1150)

E(X) = $47.50 - $57.50

E(X) = -$10

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.

To learn more on probability click:

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Answer:

B.  3,157 in^2

Step-by-step explanation:

surface area of a pyramid shown = 3x lateral area + base area

given:

s1 = s2 = s3 = 42 in

L = 38 in

lateral area = ( 1/2 * 42 * 38 ) = 798 sq. in

base area = √3 * s^2

                          4

                 = √3 * 42^2

                             4

                 = 763.834 sq. in

therefore,

surface area of a pyramid shown = 3x 798 + 763.834 = 3,157 in^2

Answer:

= 3,157 in^2

Step-by-step explanation:

surface area  = 3x lateral area + base area

given:

side lengths area s1 = s2 = s3 = 42 in

slant height = 38 in

lateral area = ( 1/2 * 42 * 38 )

                   = 798 sq. in

base area = (√3 * s^2 ) / 4

                  = (√3 * 42^2 ) / 4

                 = 763.83 sq. in

surface area = 3x 798 + 763.834

                     = 3,157 in^2

Answer:

x=6

Step-by-step explanation:

6 minus 2 is 4 and 4 divided by two is 2

Answer:

P(x < 3) = 0.42319

Step-by-step explanation:

From the given information:

The mean density [tex]\lambda =[/tex] 3

Let x be the random variable that follows a Poisson distribution.

Therefore:

[tex]\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}[/tex]     for x =1, 2, 3...

However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:

[tex]\mathtt{P(x <3 ) = \dfrac{e^{-3}3 ^0}{0!}+ \dfrac{e^{-3}3 ^1}{1!}+ \dfrac{e^{-3} 3 ^2}{2!} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{3 ^0}{0!}+ \dfrac{3 ^1}{1!}+ \dfrac{3 ^2}{2!} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{1}{1}+ \dfrac{3 }{1}+ \dfrac{9}{2} \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} 1+3+ 4.5 \end {pmatrix} }[/tex]

[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix}8.5 \end {pmatrix} }[/tex]

P(x < 3) = 0.42319

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5

The Answer Is x=-2

Hope This Help's

Answer:

[tex] \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star[/tex]

Step-by-step explanation:

[tex]: \implies{ - 3(2x - 1) - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x + 3 - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x - 3x + 3 - 4 = 17}[/tex]

[tex]: \implies{ - 9x - 1 = 17}[/tex]

[tex]: \implies{ - 9x = 17 + 1}[/tex]

[tex]: \implies{ - 9x = 18}[/tex]

[tex]: \implies{ \displaystyle{x = \frac{18}{ - 9} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \star{ \: \implies{ \red{x = - 2}}}[/tex]

I hope that this is what you are looking for

Step-by-step explanation:

Let's take the following question as an example,

[tex]\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}[/tex]

Start by adding 1/4 to both sides.

[tex]\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}[/tex]

To add both 1/6 and 1/4 together we must have a common denomitor.

The common denominator for 1/6 and 1/4 is 12

[tex]\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )[/tex]

Multiple to get the common denomiators

[tex]\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )[/tex]

Now we can add the fractions.

[tex]\frac{2}{3}x = \frac{5}{12}[/tex]

To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2

[tex](\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})[/tex]

The left side will become x as 3/2 and 2/3 cancel each other out

[tex]x = (\frac{5}{12}) (\frac{3}{2})[/tex]

Multiple the right side to get a value for x

[tex]x = \frac{15}{24}[/tex] or [tex]x = \frac{5}{8}[/tex]

If you notice we can simplfy the fraction to 5/8

Answer:

36.67%

Step-by-step explanation:

To find the percent, divide 165 by 450 (part over whole) and multiply by 100

(165/450) x 100

= 36.67

So, Tracey paid 36.67% of the original price

Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation: