The tickets for a figure skating performance sold out in 4 hours. If there were 40,000 tickets sold, solve the equation 40,000−4x=0 to find the number of tickets sold per hour.

Answer: A

Step-by-step explanation:

The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.

3x²-2x=0

Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.

A=3

B=-2

C=0

We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).

Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.

Therefore, A is the correct answer.

Answer:

669

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Answer:

a

Step-by-step explanation:

Answer:

He spends more money on food

Step-by-step explanation:

Looking in the tens place, we have a 4 and a 3. 4 is greater than three and the 4 belongs to 49. Overall 49>37 so he spent more money on food.

Answer:

f(x) → -f(x)

Step-by-step explanation:

Answer:

mass = 42 kg

Step-by-step explanation:

We know that we have the formula that

W = m * g

Then

given

weight (w) = 420

g = 10 m/s²

then

W = m* g

420 = m * 10

m = 420/10

m = 42 kg

Hope it helps :)

Answer:

Step-by-step explanation: weight = 420N

                                             mass= ?

                                    we know,

                                             weight = mass . acceleration due to gravity

                                             or,  420  = mass . 9.8

                                           therefore mass =  42.85 kg

The profit can be determined as,

Thus, the required profit is $6676.8.

Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in

Answer:

The answer is 30 all over 3.

Answer:

x = 3

y = 17  

or (3,17)

Step-by-step explanation:

y = 4x + 5

y = -1/3x - 8

4x + 5 = -1/3x - 8

4x = -1/3x - 13

12x = -x - 39

13x = -39

x = 3

y = 4(3) + 5

y = 12 + 5

y = 17

Answer:

1 sunflower

Step-by-step explanation:

Start at 15 then go to the left of the line graph. After count how many X there are which there is one.

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

Answer:

3:2

Step-by-step explanation:

You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1

ratio of cups of sparkling water : cups of grape juice concentrate = 3 : 1

Equivalent ratio to 3 : 1 are

6 : 2,

9 : 3,

12 : 4

15 : 5

21 : 7

Non equivalent ratio of 3 : 1 are

3 : 2

4 : 2

5 : 5

6 : 4

Therefore, another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2411\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases}\)

\(2411=2000e^{\frac{r}{100}\cdot 4}\implies \cfrac{2411}{2000}= e^{\frac{r}{25}}\implies \log_e\left( \cfrac{2411}{2000} \right)=\log_e\left( e^{\frac{r}{25}} \right) \\\\\\ \log_e\left( \cfrac{2411}{2000} \right)=\cfrac{r}{25}\implies 25\cdot \ln\left( \cfrac{2411}{2000} \right)=r\implies \stackrel{\%}{4.67}\approx r\)

Percent to the nearest whole number = 7%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

Total number of outcomes = 2 + 15 + 2 + 11 = 30

Number of possible outcomes = 2

Probability = 2/30 = 1/15 = 0.0666

Percent to the nearest whole number =  0.0666 *100 = 7%

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Answer:7

Step-by-step explanation:

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

39º

Step-by-step explanation:

ABC= 90º

90º-51º= 39º

ABD= 39º

Answer:

A

Step-by-step explanation:

The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.

Answer:

D.

Step-by-step explanation:

The two parallel sides of the trapezoid are referred to as the bases of the trapezoid; the other two sides are called the legs of the trapezoid.

Therefore, the answer is D.

Hope it helped!

Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

Answer:

x ≤ 1

Step-by-step explanation:

In the graph shown, the blue arrow is facing to the left, so we know that the inequality is some kind of less-than inequality (x < number).

We can also see that the blue arrow starts at a filled-in circle, so we know that the inequality will use the less-than-or-equal-to relator (≤).

Finally, the filled-in dot is at 1, so we can construct the equation:

x ≤ 1

Note that you could replace x with any other variable or even a blank space, since it isn't specified by the number line.

Answer:

f+g = (x-2)+(x²-x)

= x²-2

(f+g)(-3) = -3(x²-2)

-3x²+6

Step-by-step explanation:

follow the expression (f+g)(-3)

The average rate of change of the function over the interval is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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The balance due on the note at the date of maturity is $1012.49

Given,

Principal  = $2000

Int rate(r) = 5%

Effective date April 1

The partial payment date May 1

Maturity date June 1

partial payment is being made on May 1

Interest from April 1 to May 1 for 30 days and is calculated as:

$2000 x 0.05 x (30/365) = $8.21

Interest Amount deducted from the principal = $2000 - $8.21 = $1991.79

Amount applied to the principal = $1000 - $8.21 = $991.79

Principal  due = $2000 - $991.79 =$1008.21

Interest on new principal $1008.215 will be for (61` - 30 ) is 31 days

interest due = $1008.21 x 0.05 x (31/365) = $4.28

Account due on maturity (Total due) is $1012.49

The principal is the amount of  debt originally borrowed that  remains unpaid. This amount does not include accrued unpaid interest related to the debt. The term can also refer to a principal participant in a contract or other  transaction. Home loan equity is the amount of money originally borrowed by the lender, and  it can also refer to the amount of money remaining when the loan is paid off.

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Answer: -2xy - 8y

Step-by-step explanation:

-3xy-2(x+y)-4y+xy

-3xy - 2x -2y - 4y + xy

-2xy - 2x - 2y - 4y

-2xy - 8y