The school that ming goes to is selling tickets to the annual talent show. on the first day of
ticket sales the school sold 8 senior citizen tickets and 4 student tickets for a total of $84. the
school took in $66 on the second day by selling 8 senior citizen tickets and 2 student tickets.
find the price of a senior citizen ticket and the price of a student ticket.

The value of the expression log₂9 after using change of base theorem is 3.17.

Given that the expression be log₂9.

We are required to find the value of the expression by finding the value of log values.

Change of base formula is basically used in a situation where we have to solve the log values with different bases at one time. It says that

[tex]log_{a}b[/tex]=[tex]log_{x}b/log_{x}a[/tex].

The expression is  log₂9.

We know that [tex]log_{b}a[/tex]=log a/log b.

log₂9=log 9/log 2

Now,we have to use the values of log in the above expression.

=0.9542/0.3010

=3.17

Hence the value of the expression log₂9 after using change of base theorem is 3.17.

Learn more about change of base theorem at https://brainly.com/question/24788069

#SPJ4

Step-by-step explanation:

Greetings !

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite, sign change, and negation.

For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0. Similarly, the additive inverse of a − b is −(a − b) which can be simplified to b − a. The additive inverse of 2x − 3 is 3 − 2x, because 2x − 3 + 3 − 2x = 0.

Hope it helps!!!

It is given that P = principal, R = rate of interest and T = time

Formula to find compound interest is:

A = P(1 + R/100)^T

where A = amount received after n years

P = principal amount invested

R = rate of interest

T = time for which the amount is invested

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

Learn more about compound interest:

https://brainly.com/question/13155407

#SPJ9

answer:

0.66666666666

step-by-step explanation:

2/3

2 divided by 3 = 0.66666666666

Answer:

There wasn't an image put to choose which graph it would be.

Step-by-step explanation:

Answer: The answer is 8 because you add 32 + 72 and get 104 x and then 4 +9 = 13 then you divide 104 divided by 13 = 8

Answer:

8, because you add 32 and 72, which will get 104x and then 4+9 which is 13 then you divide 104 divided by 13 = 8

Step-by-step explanation:

hope this helps!

Answer:

10 = -6

Step-by-step explanation:

Answer:

X = - 39

Step-by-step explanation:

ANSWER: x+3x7/3 = - 6

Hope this helps u : )

After solving the equation 2 x² the value of x is equal to 1   [tex]\sqrt{1/2}[/tex]

we are asked to find x in 2x² = 1

⇒ 2x² = 1

⇒ x² = 1/2

⇒ x = [tex]\sqrt{1/2}[/tex]

So, x is equal to  [tex]\sqrt{1/2}[/tex]

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

https://brainly.com/question/14323743

#SPJ4

Answer:

Hey Rey

Step-by-step explanation:

[tex] \mathsf{\red{m∈( - ∞, \: 8)U(20,∞)}}[/tex]

Answer:

Hey Rey ...

Step-by-step explanation:

[tex]\mathsf{\blue{m∈( - ∞, \: 8)U(20,∞)}}[/tex]

The amount that Thang would pay in interest is $420 based on the loan of $2000 and simple interest of 7%

What is simple interest?

The simple interest on the loan is determined as the amount borrowed multiplied by the interest rate of 7% and as well multiplied by the number of years it takes for the loan to be repaid

I=PRT

I=simple interest payable by Thang=unknown

P=principal=amount borrowed=$2000

R=interest rate=7%

T=number of years before the loan is repaid=3

I=$2000*7%*3

I=$420

Find out more about simple interest on:https://brainly.com/question/18915907

#SPJ1

Answer: 111 ft tall. Thats a big tree!

Step-by-step explanation: if its seven more than two times the height of the house, do 52 X 52 + 7 which equals 111 ft.

The equation for the given statement is y=3x.

The given equation is the number of miles y it travels in x hours.

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

We need to find the number of miles travelled in 3 hours.

Now, using the formula Distance = Time × Speed

y = 3x

Therefore, the equation for the given statement is y=3x.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

Answer:

I Disagree with Peter, the explanation is down below.

Step-by-step explanation:

I disagree because to find the least common multiple or the LCM, you need to first list the first several multiples of each number. So, because the numbers are 4 and 6, I would write:

4 - 4, 8, 12, 16, 20, 24, 28, 32

6 - 6, 12, 18, 24 30, 36, 42, 48

The next step would be to find the same multiples in the list. If there are no same multiples, then I would keep on adding multiples.

If we look at the list, the first numbers that we see that are the same are 12 and 12.

12 would be the LCM, not 24.

If the two numbers were 24 and 12, then the LCM would have been 24, but in this case, the LCM is 12. So that is why I disagree.

Hope this helped! :D

Have a wonderful day!~~

Step-by-step explanation:

you can plus for obtain a multiply

5×-2y=3

Answer:

2.8888722e+12

Step-by-step explanation:

calculator

Let us organize the information first. The game consists in picking up a numbered duck. Let us denote the number of the duck as xx. The possible prizes are

1≤ x≤ 60 consolation prize

60 ≤ x ≤ 70 stuffed duck

70≤ x ≤ banana

We have 75 possible numbers equally likely to select, and 1111 outcomes where we win the stuffed duck

60, 61, 62, 63, 64, 65, 66, 67, 68, 69 and 70

Therefore, the probability of winning a stuffed duck is

p(60 ≤ x ≤ 70) = 11/75= 0.146

The event of not winning a duck or a banana is that of winning the consolation prize, that is, picking a number 1 ≤x ≤ 60.

Those are 59 equally likely to occur outcomes. Then we have

c= 59/75= 0.786

To check whether this result is right, we can use the complementary events law. That is, the probability of not winning a duck or a banana is 11 minus the sum of the probabilities of winning a duck or a banana. Mathematically this is

p (1 ≤ x ≤ 60) = 1-(p (60≤x≤70)+p(70≤x≤75)

p (1≤ x ≤ 60) = 0.786

which is a desired result.

To know more about probability

visit-:https://brainly.com/question/11234923

SPJ9

Answer: 20

Step-by-step explanation:

3/4= 15/20

1/10=2/20

The triangle with lengths 6cm, 8cm and 10cm are right triangles.

A right triangle is a polygon with three sides. It is a triangle in which the sum of the square of the two sides is equal the square of the longest side. The sum of the angles in a right triangle is 180 degrees. One of the angle in a right triangle measures 90 degrees.

According of the Pythagorean Theorem, a triangle is a right triangle if the sum of the square of the two sides is equal the square of the longest side.

The Pythagorean Theorem: a² + b² = c²

where:

6²  + 8²  = 10²

36 + 64 = 100

The triangle is a right triangle because it means the parameters set forth by the Pythagorean Theorem.

To learn more about Pythagorean Theorem, please check: https://brainly.com/question/14580675

#SPJ1

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-4)}}} \implies \cfrac{-14}{3 +4}\implies \cfrac{-14}{7}\implies -2[/tex]

The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ 8² + 3 × 78² + 3 × 7

Simplify the expression, then we have

⇒ 8² + 3 × 78² + 3 × 7

⇒ 64 + 3 × 6084 + 21

⇒ 85 + 18252

⇒ 18337

The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ1

The terms given in US national debt in standard form when converted to scientific notation form will be 2.86 * 10^11, 3.70 * 10^11, 9.07 * 10^11, 3.23 * 10^12, 5.67 * 10^12 and 1.35 * 10^13 respectively.

Scientific notation if the process of conversion of very large numbers which are otherwise inconvenient to read into decimal form raised to some power of 10. During this conversion, the numbers in standard form are written such that only one place value before decimal is left and written as coefficient and all other numbers are then counted and written in the form of base 10 raised to some exponent value. The coefficient value must be such that its value lies between 1 and 9 and less than 10. Thus, the following numbers can be written as follows in scientific form.

286330760848.37 = 2.86 * 10^11

370918706949.93 = 3.70 * 10^11

907701000000.00 = 9.07 * 10^11

3233313451777.25 = 3.23 * 10^12

5674178209886.86 = 5.67 * 10^12

13561623030891.79 = 1.35 * 10^13  

Learn more about Scientific notation at:

brainly.com/question/10401258

#SPJ9

Answer:

90-50=40 so she answers phone calls for 50 min

Step-by-step explanation:

Answer:

AB + BC + AC           a. segment addition postulate

2x+6x+8 = 32           b. substitution property of equality

8x + 8 = 32               c. Combine like terms

8x = 24                     d. subtraction property of equality

x = 3                          e. division property of equality

Answer:

V = 1,005.31ft³

Step-by-step explanation:

V = [tex]\pi[/tex][tex](\frac{d}{2} )^{2}[/tex]h

V = [tex]\pi[/tex][tex](\frac{16}{2} )^{2}[/tex](5)

V = 1,005.30965ft³

Step-by-step explanation:

diameter is 16 feet

height is 5 feet

For you to find the volume you have to know the

formula for finding it

the formula is πr^2h

π=22/7,

r=radius=16/2=8

h=height=5

πr^2h

22/7 x 8^2 x 5

22/7 x 64 x 5

22/7 x 320

=1005.71 feet^3

Answer:

Smaller

Step-by-step explanation:

If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

The greatest percent error among the predictions time of the race is: 3.15 %

Although part of your question is missing, you might be referring to this dot plot that shows the predictions for the winning time (see image attached)

To solve this exercise, we have to apply the percentage formula:

Error (%) = [(prediction time – real time) / real time] * 100

Information about the problem:

Applying the percentage formula, we have:

Error (%) = [(prediction time – real time) / real time] * 100

Error (%) = [(22.9 seconds – 22.2 seconds) / 22.2 seconds] * 100

Error (%) = [(0.7 seconds) / 22.2 seconds] * 100

Error (%) = 0.0315 * 100

Error (%) = 3.15 %

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Learn more about percentage at: brainly.com/question/24877689

#SPJ4

Using the distance between two points, it is found that the distance between the positions of the ship and of the diver is greater than 50 meters, hence the ship captain will not be able to communicate with the diver based on their current positions.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Looking at the graph, the positions of the ship and of the diver are given as follows:

Hence, applying the formula presented at the beginning of the explanation. the distance is given by:

[tex]D = \sqrt{(48 - 8)^2+(-36-8)^2}[/tex]

D = 59.6.

The distance between the positions of the ship and of the diver is greater than 50 meters, hence the ship captain will not be able to communicate with the diver based on their current positions.

More can be learned about the distance between two points at https://brainly.com/question/18345417

#SPJ1

In given expressions no one is equivalent to the expression -3 [4 × -0.50]

Given,

The expression : -3 [4 × -0.50]

We have to find the expression equivalent to the above expression from the given options.

Solve the expression:

-3 [4 × -0.50] = -3 × -2 = 6

Now we can solve the expressions given in the options:

1) -12 × -1.50 = 18

Not equal to the given expression

2) -12 × 1.50 = -18

Not equal to the given expression

3) -12 × -2.50 = 30

Not equal to the given expression

4) -12 × -3.50 = 42

Not equal to the given expression

So, we can conclude that, there is no equivalent expression in the options for the expression -3 [4 × -0.50]

Learn more about expressions here:

https://brainly.com/question/28170201

#SPJ1

Answer:  The SD is 5.589

Step-by-step explanation:

Sum of all the positive integers from √14 to √80=30

Definition of a perfect square-A number system that can be stated as the square of a specific number from the same system is called a perfect square.Assume that N may be expressed as the product of x and x = x²,if x is a perfect square of a number N. Square roots can be used to understand this in another way. We compute the square root of a given number to determine if it is a perfect square or not. The supplied number is a perfect square if the square root is a whole number.However, if the square root value is not a whole number, the given number is not a perfect square.Now according to given question we have to find sum of all the positive inetegers between √14 to √80

∴Sum =30

LEARN MORE ABOUT PERFECT SQUARE HERE:

https://brainly.com/question/385286

#SPJ9