The Tip Top Tennis Balls manufacturing company makes and sells tennis balls. The revenue (in dollars) that the company receives in selling x cases (12 cans per case, three balls per can) of tennis balls in one week is given by The cost (in dollars) is given by All of the following questions refer to a one-week period, and only full cases of balls are sold. Write an equation for the profit P the company makes in producing and selling x cases. (Remember the profit = revenue – cost.) How many tennis balls need to produced and sold for the profit to be greater than zero? Choose the correct answer.

Answer:

7a-5=2a -15

7a-2a=-15+5

5a=-10

5a/5=-10/5

a=-2

When the 2 graphs are the same. It'll be infinitely many solutions.

System Equations are to find the intercepts of graphs so just think that when 2 graphs are same, that means they both intercept each others infinitely.

So the answer is clearly C.

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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Answer:

y=1/2x-1

Step-by-step explanation:

y=mx+b where m equals the slope and b equals the y-intercept. Hope this helps!

Answer:

\(f^{-1}(x)=\frac{1-2x}{x-1}\)

Step-by-step explanation:

1. replace f(x) with x, and x with y:  \(f(x)=\frac{x+1}{x+2} == > x=\frac{y+1}{y+2}\)

2. Solve for y:

   \(x=\frac{y+1}{y+2}\)

   \(x(y+2)=y+1\)

   \(xy+2x=y+1\)

   \(xy-y=1-2x\)

   \(y(x-1)=1-2x\)

   \(y=\frac{1-2x}{x-1}\)

3. Replace y with f⁻¹(x)

After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).

The coordinates of a triangle after rotation and translation can be found using the following steps:

       x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a

       y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b

        x' = x + dx

        y' = y + dy

       x' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000

       y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586

      x' = 2 + 3 = 5

      y' = 2.586 + 4 = 6.586

     similarly for point B(2,5) will be (5.121,7.121)

     and for point C(3,3) will be (6.121,5.121)

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Answer: 24$

multiply $12x$2 and get 24$

Step-by-step explanation: I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?

Answer:

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Step-by-step explanation:

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Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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Answer:

72%

Step-by-step explanation:

72%+28=100%

Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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Answer: 76 pages

Step-by-step explanation:

700 photo spaces = 100%

-The total

168 photo spaces = 24%

-The number of empty spaces in the album.

- Find 24% of 700:

70(10%) x 2 = 140

7(1%) x 4 = 28

140 + 28 = 168

532 photo spaces = 76%

- The number of photos in the album

700 - 168 = 532

Finding the number of pages.

-As we know 1 page holds 7 photos, if we had 532 photos we'd have to divide it by 7 to see how many pages all the photos would be held in.

532 ÷ 7 = 76.

Demographics are data that describe populations and their characteristics. Demographic analysis is the study of a population's characteristics such as age, race, and gender.

Demography is the statistical study of populations, particularly human populations. Demographic analysis investigates and quantifies population dimensions and dynamics; it can apply to entire societies or groups defined by criteria such as education, nationality, religion, and ethnicity.

Age, gender, occupation, cultural background, and family status are the five major demographic segments. Demographic analysis is the study of a population's characteristics such as age, race, and gender. Demographic data is a statistical representation of socioeconomic information such as employment, education, income, marriage rates, birth and death rates, and so on.

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Answer:

Step-by-step explanation:

The correct answer of this question is the last one which D

Answer:

The Correct answer is option D

Step-by-step explanation:

In order to pick an answer, you have to solve each of the statements from the option.

We know that 4 divided by 1/8 is 4 x 8 = 32. Any of these statements have to equal 32.

Option A would be 4 x 1/8 = 4/8 = 1/2. A is not the answer.

Option B would be 4 + 1/8 = 4 1/8. B is not the answer.

Option C would be 4 - 1/8 = 3 7/8. C is not the answer.

Option D would be 4 divided by 1/8 = 32. You have 4 yards of fabric and you cut each into 8 pieces. You basically have 4 pieces of fabric divided into 8 pieces, count them all, and you have 32.

Thus, the answer is D. Option D gives 32.

Answer:

i think its four..not sure though <3

Step-by-step explanation:

you take two fingers and take another set of two fingers and mash them together making 4 fingers!!!!

I honestly don't know at this point.

Answer:

7/11

Step-by-step explanation:

Total students (14+8) = 22

Boys = 14

Probability for boys,

= 14/22

= 7/11

I'm not sure. Hope, this is correct.

Answer:

\(\frac{13}{33}\)

Step-by-step explanation:

14 + 8 = 22

14/22

22 - 1 = 21

14 - 1 = 13

The next time there are 21 students and 13 boys.

13/21

14/22 × 13/21

13/33

Answer:

35 schools

Step-by-step explanation:

just add the side lengths

9+ 5+4+10+5+2

Answer:

35

Step-by-step explanation:

if you see where each bar it on the side and add them up you get your answer of how many schools

The perimeter of the triangle  STU is 20.6 units

To find the perimeter of triangle STU, we need to use the formula of distance between two points and then take the sum of all the sides.

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\)

For line ST;

(-4, -2) and (-4, 5)

\(d = \sqrt{(-4 - (-4))^2 + (5 - (-2))^2} \\d = 7\)

For line TU;

(-4, 5) and (-9, -2)

\(d = \sqrt{(-9 - (-4))^2 - (-2 - 5)^2} \\d = \sqrt{74} \\d = 8.6\)

For line US;

(-9, -2) and (-4, -2)

\(d = \sqrt{(-9 - (-4))^2 + (-2 - (-2))^2}\\d = 5\)

The distance between the sides are 7, 8.6 and 5 units.

The perimeter of the triangle = 7 + 8.6 + 5 = 20.6 units

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A quadratic equation is an equation whose leading coefficient is of the second degree. The correct options are A, B, and E.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c. The Roots of the quadratic equation:

\(x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

The complete question is:

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot

8(x2 + 2x + 1) = 3 + 1

8(x2 + 2x) = –3

If we simplify the given options, then the option that is correct is,

A.) 8(x² + 2x + 1) = –3 + 8

     8x² + 16x + 3 = 0

B.) 8x² + 16x + 3 = 0

\(x = \dfrac{-16\pm\sqrt{16^2-4(8)(3)}}{2(8)}\\\\x = -1 \pm \dfrac{\sqrt{10}}{4}\\\\x = -1 \pm \sqrt{\dfrac{10}{16}}\\\\x= -1 \pm \sqrt{\dfrac{5}{8}}\)

E.) 8(x² + 2x) = –3

8x² + 16x + 3 = 0

Hence, the correct options are A, B, and E.

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Answer: 7 7/10

Step-by-step explanation:

First you have to multiply 1 1/5 by two so that you could subtract it from 8 9/10. Once you do that that’s when you get 7 7/10.

Answer: 7 7/10

Step-by-step explanation:Find LCM Which means LEast common multiple so make 1 1/5 to 1 2/10 .now you can subtract 8 9/10 from 1 2/10 which gives you 7 7/10.

Hope it helps and look at pic below . :)

The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.

1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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Answer:

18

Step-by-step explanation:

40/100 x 45 = 2/5 x 45 = 18

Answer: 18

Step-by-step explanation:

To find the number of times out of 45 Evelyn is on time for class, we need to find 40 percent of 45. 40 percent of 45 is equivalent to writing 0.4 x 45. Since 0.4 x 45 equals 18, we can estimate that Evelyn will be on time to class about 18 times out of 45

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation: