A total of 333 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?

0.00000768 is the correct answer, depending how you do it.

I believe this may be what your looking for ;-)

Select the number property that will justify the following expression.

If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?

commutative - multiplication used twice

The Commutative Property of multiplication justifies the rearrangement of factors in a multiplication problem, such as changing cba to abc.

If cba represents three numbers multiplied together, the c. Commutative Property of multiplication allows you to rearrange the factors to read abc. This property states that the order of factors can be switched without changing the product, meaning ab = ba. The options provided in the query (transitive, identity addition, and associative - addition) are not related to multiplication or the rearranging of factors.

Final answer:

To determine if you can download an entire game with a download speed of 0.15GB per minute, divide the total game size by the download speed. For a 1.5GB game, it would take 10 minutes to download at this speed.

Explanation:

Calculating whether you can download an entire game based on the download speed and the game's size is a problem that falls under the subject of Mathematics. To determine if the game can be fully downloaded, you would need to know the total size of the game. For instance, if the game is 1.5GB and your download speed is 0.15GB per minute, you can calculate the time it would take to download the game by dividing the total size by the download speed. In this example:

Total game size: 1.5GB

Download speed: 0.15GB/min

Time to download = Total size / Download speed = 1.5GB / 0.15GB/min = 10 minutes

Therefore, with a download speed of 0.15GB per minute, you would be able to download a 1.5GB game in 10 minutes. If you have enough time before you need to use the game, you will be able to download the entire game now.

To convert 82 pints to quarts, divide 82 by the conversion factor of 2, which provides the result of 41 quarts.

To rewrite the expression 82p where p represents pints into quarts, first understand that pints are smaller than quarts. Because there are 2 pints in a quart, you use division for the conversion. Since the conversion factor is 2, you would divide the number of pints by 2 to find out how many quarts that is.

To convert 82p, divide 82 by 2:

82 ÷ 2 = 41

Therefore, 82 pints is equal to 41 quarts.

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Answer:

1 a 2 d 3b 4 c

Step-by-step explanation:

sorry it took me 6 years to get back to you

The first, fourth, and tenth terms of the arithmetic sequence A(n) = 12+(n-1)(3) are 12, 21, and 39 respectively.

The arithmetic sequence A(n) given by the rule A(n) = 12+(n-1)(3) represents the value of the nth term in the sequence. The first term of the sequence (n=1) can be found by substitifying n=1 into the equation, which will yield [tex]A(1)=12+(1-1)(3)=12.[/tex] The fourth term A(4) can be found similarly by substituting n=4 into equation resulting in [tex]A(4)=12+(4-1)(3)=21.[/tex]The tenth term A(10) can also be calculated in the similar manner giving [tex]A(10)=12+(10-1)(3)=39.[/tex] So, the first, fourth, and tenth terms of the arithmetic sequence are 12,21, and 39 respectively.

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Answer:

[tex]2(x+4)(x-4)[/tex]

Step-by-step explanation:

The given expression is [tex]2x^2-32[/tex]

The GCF of the expression is 2. Hence, we can factor out 2

[tex]2(x^2-16)[/tex]

Now, we can write 16 as a perfect square

[tex]2(x^2-4^2)[/tex]

Apply the difference of squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]2(x+4)(x-4)[/tex]

Therefore, the factored form of the given expression is [tex]2(x+4)(x-4)[/tex]

The linear model predicts that approximately 22 years after 2001 (around the year 2023), 1.7 million bachelor's degrees will be awarded annually in the U.S.

The problem is related to the mathematical concept of linear modeling. This model is represented by the function f(x) = 19500x + 1.28 million, where x is the number of years after 2001 and f(x) is the number of bachelor's degrees awarded in that year. The objective is to calculate 'x' when f(x) is 1.7 million. To do this, we use the inverse function.

The inverse function of f(x) = 19500x + 1.28 million is the function x = (f(x) - 1.28 million) / 19500. Substituting the known value f(x) = 1.7 million into the equation, we get: x = (1.7 million - 1.28 million) / 19500 ≈ 21.54. Since we cannot have a fraction of a year, we round this up to the next whole number.

Therefore, according to the linear model, it will be approximately 22 years after 2001, i.e., in the year 2023, when the number of bachelor's degrees awarded is expected to reach 1.7 million.

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Using the linear model, it is predicted that 1.7 million bachelor's degrees will be awarded approximately 22 years after 2001, which corresponds to the year 2023.

To predict the number of years after 2001 that 1.7 million bachelor's degrees will be awarded using a linear model, we start with the initial number of degrees awarded in 2001, which is 1.28 million. According to the model, the number of bachelor's degrees increases by 19,500 each year. We set up the equation: 1.28 million + 19,500x = 1.7 million. Here, x represents the number of years after 2001.

Solving for x gives us:
1.7 million - 1.28 million = 19,500x
420,000 = 19,500x
x = 420,000 / 19,500
x ≈ 21.54

Thus, it will take approximately 22 years after 2001 for 1.7 million bachelor's degrees to be awarded, which means this is expected to occur in the year 2023 (since 2001 + 22 = 2023).

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The real answer is C. $71,829. Just took the engenuity test.

Mike's total taxable income is $71,829.

To calculate Mike's total taxable income, we need to subtract his deductions and exemptions from his adjusted gross income. According to the given information, his adjusted gross income is $85,643. He claims two exemptions, which are each worth $3,650, so the total exemption amount is $7,300. He can deduct $896 for state income tax, $2,145 for charitable donations, and $3,473 for medical expenses. Thus, the total deduction amount is $6,514. Therefore, Mike's total taxable income is:

Total taxable income = adjusted gross income - (deductions + exemptions)

Total taxable income = $85,643 - ($6,514 + $7,300)

Total taxable income = $85,643 - $13,814

Total taxable income = $71,829

So, the correct answer is c. $71,829

The requried exterior angle of a regular pentagon measures 72 degrees. Option D is correct.

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length and an equal measure of angle at the vertex.
Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,

The measure of each exterior angle for a regular pentagon can be found by using the formula: exterior angle = 360 / number of sides.

For a regular pentagon, the number of sides is 5, so the formula becomes, exterior angle = 360 / 5 = 72 degrees.

Therefore, each exterior angle of a regular pentagon measures 72 degrees.

Learn more about polygon here:
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Answer:

P(x) = 13x2 – 10x + 350; 1,102 fish

Step-by-step explanation:

Plug in week 8 for x.

[tex]P(x) = 13 * (8)^{2} - 10(8) - 350 =[/tex]

[tex]P(x) = 13 * 64 - 80 + 350 =\\\\ P(x) = 832 - 80 + 350 = 1102[/tex]

Answer:

She need to drive more than 2000 miles for the first rental company to be a better deal .

Step-by-step explanation:

Case 1) One car rental company offers a flat rate of $35 per day plus $0.10 per mile

Let m be the no. of miles

She will need the car for 5 days.

So, total cost = [tex]35 \times 5 +0.10m=175+0.10m[/tex]

Case 2)  Another car rental company offers the same car for $25 per day plus $0.25 per mile.

Let m be the no. of miles

She will need the car for 5 days.

So, total cost = [tex]25 \times 5 +0.25m=125 +0.25m[/tex]

Now we are supposed to find How many miles would she need to drive for the first rental company to be a better deal?

So, [tex]175+0.10m <125 +0.25m [/tex]

[tex]175+125 <125 +0.25m-0.10m [/tex]

[tex]300 < 0.15m [/tex]

[tex]\frac{300}{0.15} < m [/tex]

[tex]2000 < m [/tex]

So, she need to drive more than 2000 miles for the first rental company to be a better deal

Given the information that angle 3 is 128 degrees and lines a and b are parallel, angle 8 would also be 128 degrees. But none of the provided options matches 128 degrees, implying missing or incorrect information in the question.

In geometry, if lines are parallel, the corresponding angles are equal. Given that a and b are parallel lines and angle 3 is 128°, if angle 8 corresponds to angle 3, angle 8 would also be 128°. However, the possible values provided don't include 128°. Therefore, there seems to be insufficient information or a mistake in the question to give a definite answer. All possible answers: A) 134º, B) 54º, C) 52º, D) 49º - don't match with 128º. Perhaps there's an intermediary step or piece of information missing.

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Answer:

Option b is correct

Step-by-step explanation:

Given the polynomial

[tex]2x^3+5x^2-8x-10=0[/tex]

we have to find the set of possible rational roots for the polynomial.

Rational root theorem states that if P(x)  has any rational roots then they must be of form

[tex]\pm{\frac{\text{Factor of }a_0}{\text{factors of }a_n}[/tex]

Here [tex]P(x)=2x^3+5x^2-8x-10[/tex]

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

Possible rational roots are

[tex]\{\pm1, \pm\frac{1}{2}, \pm2, \pm\frac{5}{1}, \pm\frac{5}{2}, \pm 10\}[/tex]

Option b is correct

Answer:

Step-by-step explanation:

Given : [tex](x_1,y_1)=(-3,2)[/tex]

          [tex]m=\frac{2}{3}[/tex]

Solution:

Equation of line:[tex]y-y_1 = m(x-x_1)[/tex]

Substituting the given values

⇒[tex]y-2= \frac{2}{3}(x-[-3])[/tex]

⇒[tex]y-2= \frac{2}{3}(x+3)[/tex]  --A

⇒ [tex]3y-6= 2x+6[/tex]

⇒ [tex]2x-3y = -6-6[/tex]

⇒[tex]2x-3y =-12[/tex]   ---B

⇒[tex]2x+12 =3y[/tex]

⇒ [tex]\frac{2x+12}{3} =y[/tex]

⇒ [tex]\frac{2}{3}x+4 =y[/tex] ---C

Hence Equation A ,B and C are the correct equations

Answer:

430 rounded to nearest 1000 = 0  

Step-by-step explanation:

Rounding of a number means writing a number which is closely equal to given number but easy to represent and calculate.

We are given the number 430 and we have to round off this number to the nearest thousands.

The place value chart for this number is:

Place Value:            Hundreds     Tens    Ones

            430:                  4                 3         0

Thus, it is clear that 430 does not have a thousands value. Thus, we have zero at thousands place. Thus, we have have to round of zero at thousands place.

Since this, number have no thousands value, when we round it off to nearest thousand we get 0.

430 rounded to nearest 1000 = 0

Ralph would choose any number that is a perfect square.

The pattern Ralph likes is that he prefers numbers that are perfect squares. A perfect square is an integer that is the square of an integer. For example, he likes 25 because it is 52, 400 because it is 202, and 144 because it is 122. Numbers like 24, 300, and 145 are not perfect squares and therefore are not liked by Ralph.

To determine which number Ralph would like from a given list, you should identify which numbers are perfect squares. For instance, between the numbers 146 and 144, Ralph would like 144 as it is a perfect square (122) whereas 146 is not a perfect square.