Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $55. For one performance, 40 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was $1325. What was the price of each kind of ticket?

Answer:

The answer is b

thank you

Answer:

1. The other root is [tex]-2[/tex]

2. c=-106

Step-by-step explanation:

The given equation is [tex]10x^2-33x+c=0[/tex].

If [tex]5.3[/tex] is a solution to the given quadratic equation, then [tex]x=5.3[/tex] must satisfy this equation.

[tex]10(5.3)^2-33(5.3)+c=0[/tex]

[tex]280.9-174.9+c=0[/tex]

[tex]106+c=0[/tex]

[tex]c=0-106=-106[/tex]

We now substitute [tex]c=-106[/tex] into the given equation to obtain;

[tex]10x^2-33x-106=0[/tex].

Comparing to the general equation;

[tex]ax^2+bx+c=0[/tex], we have a=10, b=-33 and c=-106.

Recall the quadratic formula;

[tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We now use the quadratic formula to obtain;

[tex]x=\frac{--33\pm \sqrt{(-33)^2-4(10)(-106)} }{2(10)}[/tex]

This implies that;

[tex]x=\frac{33\pm \sqrt{5329} }{20}[/tex]

[tex]x=\frac{33\pm73}{20}[/tex]

[tex]x=\frac{33-73}{20}[/tex] or [tex]x=\frac{33+73}{20}[/tex]

[tex]x=\frac{-40}{20}[/tex] or [tex]x=\frac{106}{20}[/tex]

[tex]x=-2[/tex] or [tex]x=5.3[/tex]

Hence the other root is [tex]-2[/tex]

Answer:

Is it a map? To me that makes the most logical sense.

Answer:

A map

Step-by-step explanation:

A map has cities, mountains, and water. It doesn't show houses, trees, or fish because it doesn't show specific things.

The actual length of a lap cannot be determined without the scale of the map. The 25 cm measurement seems to be from the map, so without knowing the real-world equivalent of the map's measurements, we can't find the actual distance.

The length of a lap around the reservoir cannot be directly determined from the information given. The measurement provided (25 cm) appears to be a distance measured on a map or plan of the area, and not in real life. In order to convert that measurement into a real-world distance, we need the scale of the map. A map's scale is typically represented as a ratio that indicates the relationship between a certain distance on the map and the real-world distance it represents.

For example, if the map's scale was 1 cm : 1 km, then a measurement of 25 cm on the map would represent a real-world distance of 25 km. However, without the scale, we cannot accurately determine the actual length of a lap around the reservoir. This concept is extremely important in geography and cartography as well as in mathematical problems dealing with maps and scales.

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Answer:

t = 4

Step-by-step explanation:

To solve for t, convert the numbers to improper functions. Then multiply by 16/3 on each side.

t ÷ 5 1/3 = 3/4

t ÷ 16/3 = 3/4

t = 16/3 * 3/4

t = 48/12

t = 4

The answer is A.) 5 because it’s the smaller number

Answer:

[tex]\boxed{\bold{Not \ Statistical}}[/tex]

Step By Step Explanation:

Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.

A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.

"An Antique Collector wants to know the age or a particular chair in a shop"

                                                V

Statistical                       Not Statistical

[tex]\boxed{\bold{>}}[/tex] This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.

Solve for x by simplifying both sides of the equation, then isolating the variable.

So the answer to your question is :

x = 16.

Hope this helps,

Davinia.

Answer:

x = 16

Step-by-step explanation:

distribute parenthesis on both sides and simplify

3x - 12 - 7 = 2x - 3

3x - 19 = 2x - 3 ( subtract 2x from both sides )

x - 19 = - 3 ( add 19 to both sides )

x = 16

Answer:

option (a)

x - √7x / x - 7

Step-by-step explanation:

Given the expression in the question

  √x / (√x + √7)

 There are 3 steps to follow

Multiply by √x - √7

√x (√x - √7) /  (√x + √7)(√x - √7)

√x .√x - √7.√x / (√x + √7)(√x - √7)

a² - b² = (a+b)(a-b)

√x² - √7x / √x² - √7²

x - √7x / x - 7

Answer:

-1

Step-by-step explanation:

to find the axis of symmetry, the formula is X= -b/ 2a

a is the 2 from 2x2

and b is 4 from 4x

then plug them to the formula

-b= -4 because of the negative in -b

and 2a is 2(2)

-4/4 is -1

so x= -1

hope im right

hope it helps

answer X= 5 over 7 and 2 over 7y step by step explaination add 2y on both sides u cancelled -2y and positive 2y u bring down 7X u get 7X=-5+3 then u divide and u get that answer yw have a nice day mark me brainliest

Answer:

2y=-x7

Love mORgan

answer is the last one D

pls mark brainliest

The answer is D good luck

The answer is-

Exact form: 99/100

Decimal form: 0.99

An equation f(4)=16 means that when the input value is 4, the output value is 16.

An equation in the form f(4)=16 means that when the input value of the function f is 4, the output value is 16.

For example, if f represents the function that multiplies an input by 4, then f(4)=16 because 4 multiplied by 4 equals 16.

In terms of input and output values, f(4)=16 means that when the input value is 4, the function will return an output value of 16.

Answer:

The graph for the following system of inequalities is attached below.

Step-by-step explanation:

The given system of inequalities is

[tex]x+y>3[/tex]                    .... (1)

[tex]x+y<-4[/tex]                  .... (2)

From inequality (1) and (2) it is clear that (x+y) is greater than 3 adn 3 is not less than -4. So, the given system of inequality has no feasible reason or solution.

The related equation of first inequality is

[tex]x+y=3[/tex]

Put x=0 to find the y-intercept.

[tex]0+y=3\Rightarrow y=3[/tex]

The y-intercept is 3.

Put y=0 to find the x-intercept.

[tex]x+0=3\Rightarrow x=3[/tex]

The x-intercept is 3.

The related equation of second inequality is

[tex]x+y=-4[/tex]

Put x=0 to find the y-intercept.

[tex]0+y=-4\Rightarrow y=-4[/tex]

The y-intercept is -4.

Put y=0 to find the x-intercept.

[tex]x+0=-4\Rightarrow x=-4[/tex]

The x-intercept is -4.

The related lines are dotted line because the sign of inequalities are > and <.

Check each inequality be (0,0).

[tex]0+0>3[/tex]

[tex]0>3[/tex]

This statement is false. So the shaded region of first inequality is opposite sides of the origin.

[tex]0+0<-4[/tex]  

[tex]0<-4[/tex]  

This statement is false. So the shaded region of first inequality is opposite sides of the origin.

The graph for the following system of inequalities is attached below.

Answer:

This is the correct graph on Odyssey :)

16 x 14 = 224

[tex]answer = {224cm}^{2} [/tex]

Answer:   3

Step-by-step explanation:

[tex]x^3-27=0\\\\x^3=27\\\\\sqrt[3]{x^3}=\sqrt[3]{27}\\\\x=\sqrt[3]{3\cdot 3\cdot 3} \\\\x=3[/tex]

Answer:

6

Step-by-step explanation:

Area of a triangle: bh/2

4*3/2=6

Answer:

6 units²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = DE = 3 units and

h is the distance from the vertex F to DE = 4 units, hence

A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 units²

Answer:

The mean is 7.5 and the outliers are 0 and 2

Step-by-step explanation:

To find the mean, add all of the numbers together and divide by the amount of numbers.

2 + 0 + 10 + 8 + 10 + 8 + 8 + 8 + 10 + 10 + 8 + 8 = 90

90/12 = 7.5

To see the outliers, look for the numbers far away from the mean.

Answer:

[tex]y=-6(x-1)^{2}-7[/tex]

Step-by-step explanation:

we have

[tex]6x^{2} -12x+y+13=0[/tex]

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]y+13=-6x^{2} +12x[/tex]

Factor the leading coefficient

[tex]y+13=-6(x^{2} -2x)[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]y+13-6=-6(x^{2} -2x+1)[/tex]

[tex]y+7=-6(x^{2} -2x+1)[/tex]

Rewrite as perfect squares

[tex]y+7=-6(x-1)^{2}[/tex]

[tex]y=-6(x-1)^{2}-7[/tex] -----> equation of the parabola in vertex form

The vertex is (1,-7) is a maximum, the parabola open downward

To convert 6x^2 - 12x + y + 13 = 0 to vertex form, follow the steps to complete the square and rewrite the equation as (x - 1)^2 = -y/6 - 7/6.

The equation 6x^2-12x+y+13=0 is in the general form of a quadratic equation. To convert it into the vertex form, we need to complete the square.

First, let's group the x terms together: 6x^2 - 12x = -(y + 13).

Next, let's complete the square: 6(x^2 - 2x) = -(y + 13).

Now, we can add (2/2)^2 = 1 to both sides to complete the square: 6(x^2 - 2x + 1) = -(y + 13) + 6.

Simplifying further, we get 6(x - 1)^2 = -y - 7.

Finally, we can write the equation in vertex form by dividing both sides by 6: (x - 1)^2 = -y/6 - 7/6.

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Answer:

Range: all real numbers greater than or equal to  2

Step-by-step explanation:

The range is the possible numbers that the output can take

Y can be any number greater than or equal to 2

Range: all real numbers greater than or equal to  2

Answer: 7 + i

Step by step:

Remove parentheses.

5 + 3i + 2 - 2i

Add 5 and 2

7 + 3i - 2i

Subtract 2i and 3i

7 + i

The sum of the complex numbers (5+3i) and (2-2i) is 7+i. You add the real parts to get 7 and the imaginary parts to get i, then combine them.

Adding two complex numbers: (5+3i)+(2-2i). To perform this addition, we simply add the real parts and the imaginary parts separately. The real parts are 5 and 2, and when we add them together we get 7. The imaginary parts are 3i and -2i, which sum up to 1i (or just i). Hence, the result of the addition of these two complex numbers is 7+i.

To further clarify with an example similar to the student's question: (3+4i) + (−2+7i) = (3 - 2) + (4 + 7)i = 1 + 11i. The process is straightforward—add the real numbers, add the imaginary numbers, and combine them into one complex number.

Answer:

c^5 *d^5

Step-by-step explanation:

Answer:

19.32

Step-by-step explanation:

One way to find the missing number is to get the value of the left side of the equation first.

8.4(1.5 + 2.3) = 31.92

Now we need to take that value and subtract it to the value on the right side of the equation.

31.92 - 12.6 = 19.32

So we have:

8.4(1.5 + 2.3) = 12.6 + 19.32

31.92 = 31.92

Answer:

The required number is 19.32

Step-by-step explanation:

Consider the provided expression.

Let the missing number is x.

[tex]8.4(1.5 + 2.3) = 12.6 +x[/tex]

Add the numbers as shown.

[tex]8.4(3.8) = 12.6 +x[/tex]

Open the parentheses.

[tex]31.92= 12.6 +x[/tex]

Subtract 12.6 from both the sides.

[tex]31.92-12.6= 12.6-12.6 +x[/tex]

[tex]x=19.32[/tex]

Hence, the required number is 19.32

Answer: third option.

Step-by-step explanation:

You know that:

- There are 10⁹ bytes in a gigabyte.

- There are 10⁶  bytes in a megabyte.

Then, to know how many times greater  the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.

Remember the quotient of powers property:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

Then:

[tex]=\frac{10^9}{10^6}=10^3=1,000[/tex] times greater

Answer:

1,000

Step-by-step explanation:

Answer:

(- 3, - 5)

Step-by-step explanation:

A translation of 1 unit left, subtract 1 from x- coordinate

A translation of 3 units down, subtract 3 from y- coordinate

The translation rule is

(x, y) → (x - 1, y - 3), hence

(-2, - 2) → (- 2 - 1, - 2 - 3) → (- 3, - 5)

We can make and use the equation: A = 160( 1.03 )^y: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)

A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74

B) 160 * 1.03⁵ = 185.48385 ≈ $185.48

The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.

C) 160(1.03)³⁰

Claire will have $164.80 after 1 year and $169.74 after 2 years in her savings account due to the 3% interest rate. After 5 years, she will have $185.86. The expression for the amount after 30 years is $160 × (1.03)³⁰.

When Claire deposited $160 into her savings account at a 3% interest rate per year, she initiated a process of compound interest. This means each year, the amount of money in her account will increase by 3% of the amount from the previous year. The way to find out how much money she will have after a certain number of years is to multiply the initial amount by 1.03 raised to the power of the number of years.

Interest After 1 Year

After 1 year: $160 × 1.03 = $164.80

Interest After 2 Years

After 2 years: $160 × (1.03)² = $169.74

Interest After 5 Years

After 5 years: $160 × (1.03)⁵ = $185.86. This is calculated using the formula for compound interest: $160 × 1.03 raised to the fifth power.

Interest After 30 Years

To write an expression for the amount of money she will have in 30 years: $160 × (1.03)³⁰. This follows the general formula for compound interest, which is the initial amount times one plus the interest rate raised to the number of years.

Answer:

B. There is an association because the value 0.15 is not similar to the value 0.55

Step-by-step explanation:

Based on the above picture, for the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.

The conditions that satisfy whether there exists an association between conditional relative frequencies are:

1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.

2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.

For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

We can conclude that there is an association because the value 0.15 is not similar to the value 0.55

Answer:There is an association because the value 0.15 is not similar to the value 0.55.

Step-by-step explanation:

Answer:

11 inches

Step-by-step explanation:

17/0.85 * 0.55

20 * 0.55

11.