at a charity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. The prices of the two types of tickets are shown. When all the tickets were sold, $10,500 was collected. How many tickets were sold to the public?

Answer:

12y?

Step-by-step explanation:

I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y

i read the question wrong, nvm.

Answer:

10x^2+2x+13

Step-by-step explanation:

10x^2+3 - (-2x-10)

10x^2+3 +2x+10

10x^2+2x+13

(-2, 10].

First of all, let's refresh the concepts of domain and range when talking about mathematical functions.

In simple terms, the domain of a function are the values that the function can work with, the allowed inputs, which happen to be the same as values of the common used variable "x", the dependent variable. We can easily tell the domain of a by looking at its horizontal extension, what values of "x" it passes by.

Now, the domain is the total opposite, those are the outputs, or the "y" values that the function returns after evualiating an "x" value. These can be seen by analyzing the vertical extension of the graph, what values of "y" the function can reach.

In the given graph, we may see that the lowest "y" value the graph outputs (vertically) is -2, and we also see that the circle in that number doesn't have a fill color, it's transparent, that means that tne function doesn't contain the value of -2. Therefore, y > -2. Now, on the upper end of the function, we can see that highest "y" value the function can reach is 10, marked with a filled circle, which means that the function contains said value, hence, y ≤ 10.

Now, writting in interval notation, remember that the square brackets "[]" are meant to be used next to a value that the function contains. Also, the parentheses "()" are meant to a value that the function doesn't contain.

Previously, we mentioned that the function doesn't contain value "-2", therefore, we may write:

(-2...

Now, to finish writting the interval, we mentiones that value 10 is contained in the function, hence, we finish writting the interval notation as follows:

(-2, 10].

Final answer: (-2, 10].

When writting in interval notaion, the symbol of infinity "∞" must always be written next to a parenthesis symbol.

Answer:

Find the exact value using trigonometric identities.

( 60 , 280 ) , 5 ,  8534.4 ,  ( 5 , 8534.4 ) ,  5 ,  294.54  ,  5 ,  3360 ,  2.54

Step-by-step explanation:

Answer:

It is not hard

Step-by-step explanation:

•Once you get familiar with the lesson you understand it in a much easier way by doing problems pretty often

•If you want get more comfortable with it just search for a few questions in internet specifically educational platforms in schools like teachers

•But if your still confused you can always study it for free by byjus or vedantu and the best option in my opinion is ask your teacher to explain it once more

•It is very hard to solve questions if you are not freindly with the chapter

• Do not hesitate to ask questions if your doubting or anything you might face problems in higher grades with the topic

Answer:

7x.

Step-by-step explanation:

2 + 33 = 7x

35 = 7x

Solution is x = 5.

Answer: 5² + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the slope formula.

\(\underline{\text{SLOPE FORMULA:}}\)

\(\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }\)

y2=3

y1=(-9)

x2=1

x1=8

Rewrite the problem down.

\(\sf{\dfrac{3-(-9)}{1-8}=\dfrac{3+9}{1-8}=\dfrac{12}{-7}=\boxed{\sf{-\dfrac{12}{7} }}\)

I hope this helps, let me know if you have any questions.

Answer:

\(\boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}\)

Step-by-step explanation:

Slope formula:

\(\text{Slope} = \dfrac{\text{Rise}}{\text{Run}}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Using the coordinates (8, -9) and (1, 3), we obtain the following:

Substitute the coordinates of both the points in the slope formula to obtain the fraction that represents the slope.

\(\implies \text{Slope} = \dfrac{3 - (- 9)}{1 - 8}\)

To obtain a specific fraction or whole number that represents the slope, we need to simplify the numerator and the denominator.

\(\implies \text{Slope} = \dfrac{3 + 9}{-7}\)

\(\implies \text{Slope} = \dfrac{12}{-7}\)

Use parenthesis and take out the "negative sign" from the denominator.

\(\implies \boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}\)

ANSWER

EXPLANATION

Given that;

The speed of the pilot = 670 miles per hour

The first path took her 1 hour 30 minutes

The second path took her 2 hours

Included angle = 170 degrees

To find the distance from the starting position, follow the steps below

Step 1; Find the distance of the first and second path

Recall, that

For the first leg

time = 1 hour 30 minutes

speed = 670 miles per hour

The first leg = 1005 miles

Second leg

time = 2 hours

speed = 670 miles per hour

The second leg = 1340 miles

apply the cosine rule to find the distance from the starting position

substitute the given data into the cosine formula

Therefore, distance from the starting position is 2336.3 miles

Answer:

Yes. This is half a square, a full square has 360 degrees total because it has 4 right angles which are each 90. We know that there is a 50 degree and 90 degree angle, and since this is split it is 180 total. 180-140=40 degrees, so yes.

Answer:

18

Step-by-step explanation:

33-15=18

Answer:

18

Step-by-step explanation:

Answer:

Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.

Step-by-step explanation:

The given equation is:

-x + 3y = 11

To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.

Let's suppose we have another equation with x, for example:

2x + 5y = 7

We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:

-2x + 6y = 22 (multiply the first equation by -2)

2x + 5y = 7 (the second equation)

Now we can add the two equations to eliminate x:

-2x + 2x + 6y + 5y = 22 + 7

Simplifying the equation, we get:

11y = 29

Dividing both sides by 11, we get:

y = 29/11

Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:

-x + 3y = 11

Substituting y = 29/11, we get:

-x + 3(29/11) = 11

Simplifying the equation, we get:

-x + 87/11 = 11

Subtracting 87/11 from both sides, we get:

-x = 11 - 87/11

Multiplying both sides by -1, we get:

x = 87/11 - 11

Simplifying the equation, we get:

x = (87 - 121)/11

x = -34/11

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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Answer:

50

Step-by-step explanation:

Answer:

About 43%.

Step-by-step explanation:

Well... 195/450 = x/100

100 times 195 = 450x

19500 = 450x

19500/450 = 450x/450

= 43.3% ( the 3 after the decimal point is repeated, but I rounded to the nearest percent).

I hope this helps.

Answer:To estimate the number of steps the average man takes in 1 week, we can multiply the number of steps per day by the number of days in a week.

A week has 7 days so the number of steps the average man takes in a week would be 7,912 steps/day * 7 days/week = 55,384 steps/week

So the correct answer for the number of steps the average man takes in one week is 55,384 steps/week or in scientific notation is 5.5 x 10^4. So the answer is D. 7.9 x 10^4

Step-by-step explanation:

Answer:

A: 5.5*10⁴

Step-by-step explanation:

1 week = 7 days

7 * 7912 = 55384 steps/week

Scientifin notation:

55384 =

              5538.4*10¹

               553.84*10²

               55.384*10³

                5.5384*10⁴

Then:

the answer is:

5.5*10⁴

answer: 9

Step-by-step explanation:

x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9

The smallest angle of rotational symmetry for the polygon is known to be 72 degrees.

This is said to be 72 degrees. Note that  the rotational Symmetry of Pentagons is one that have a lot of sides.

So, a regular pentagon is said to have five equal sides, it means that the polygon can be rotated five times and still be the same like the original.

Hence:

Let n = rotation symmetry

5 = 360/n

n x 5 = 360

n = 360/5

n =  72

Therefore, The smallest angle of rotational symmetry for the polygon is known to be 72 degrees.

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Answer:

p(s) = 0,33

Step-by-step explanation:

n = 450

p₀ = 150/450       p₀ = 0,33      then    q₀  = 0,67

n*p₀ = 0,33*450  =  150

n*q₀  = 0,67*450 = 301

n*p₀  and n*q₀   more than 10, we can approximate  the binomial to a Normal Distribution Distribution

a) p - p₀  = z(c) * √ (p₀q₀)/n

z(c) =  ??

CI   95 %    then α = 5 %    α = 0,05      α/2 = 0,025

z(c) = 1,96

p  =  p₀  ±  z(c) * √ (p₀q₀)/n

p  = 0,33 ± 1,96 * 0,022

p =  (  0,33 - 0,04 ;  0,33 +  0,04

p = ( 0,29  ; 0,37 )

The value of the center of the confidence Interval is 0,33

p(s) = 0,33

Answer:

To find the domain and range of (fog)(x), we need to first find (fog)(x):

(fog)(x) = f(g(x)) = f(x-3) = e^(x-3)

The domain of (fog)(x) is all real numbers because there are no restrictions on the input x that would make e^(x-3) undefined.

To find the range of (fog)(x), we need to determine the possible outputs of e^(x-3). Since e^x is always positive, e^(x-3) is positive for all x. Therefore, the range of (fog)(x) is y > 0.

So, the answer is: D. domain: all real numbers | range: y > 0

Answer:

A Parallelogram.

Step-by-step explanation:

Hope this helps! :)

Answer:

Area = x² + 10x + 21

Step-by-step explanation:

Area = L * W

Length = (x + 7)

Width = (x + 3)

=> Area = (x + 7) * (x + 3)

=> Area = x² + 3x + 7x + 21

Combining like terms would result in;

=> Area = x² + 10x + 21

Hope this helps!

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

The angle with cosine value of 1/7​ is 81.79°

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Given that: the cosine value of the angle is 1/7​

Let the angle be θ. Then we can write that:

cos θ = 1/7

θ = cos⁻¹ (1/7)           (Take the inverse of cosine on both sides)

θ = 81.79°

Note: To get cos⁻¹ on your calculator, press the shift button followed by the cos button

Therefore, the angle is 81.79°

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Answer:

A = bh

Step-by-step explanation:

Area = base × height

Area = base · height

A = bh

Answer:

m=70°

Step-by-step explanation:

*∠WXY and ∠ZXY are supplementary angles (180°)*

110°+m=180°

110°+m-110°=180°-110°

m=70°

Hope it helps!

Answer:

$0.45+19*$0.35= $7.1

Step-by-step explanation:

first minute= $0.45

subsequent minutes= $0.35

cost per 20 min= $0.45+19*$0.35= $7.1

cost per x min= 0.45+(x-1)*0.35= 0.35x +0.10

Answer:

Step-by✔ 0.45 + 0.35(19)  

✔ $7.10

Answer:

False

Step-by-step explanation:

10 is not equal to 20.

Answer:

A. 3

Step-by-step explanation:

\( - x + 5y \\ - 12 + 5(3) \\ - 12 + 15 \\ = 3 \\ \)

The blank space in the task content should be filled with; Wages.

A wage by it's primitive definition is a fixed regular payment usually paid on a daily or weekly basis by the employer to an employee which could be skilled or unskilled.

Commission, and salary which is a monthly analogue of wages is another form of employee compensation.

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