The waiting time to ride a roller coaster is 20 minutes one 150 people in line. How long is the waiting time when 1200 people are in line.

9514 1404 393

Answer:

  3.24

Step-by-step explanation:

The weighted average GPA is ...

  (9(2.40) +18g)/(9+18) = 2.96

Then the girls' GPA (g) is ...

  ((27)(2.96)-9(2.40))/18 = g = 58.32/18 = 3.24

The GPA of the girls in the class is 3.24.

_____

Additional comment

The solution expression can be rearranged to ...

  ((9+18)(2.96) -(9)(2.40))/18 = g

  2.96 +(9/18)(2.96 -2.40) = g

  2.96 +(1/2)(0.56) = g

That is, the difference of the boys' GPA from the overall average, multiplied by the ratio of boys to girls, is the amount that must be added to the overall average to get the girls' GPA. This is arithmetic you can do in your head.

The key idea with the average is that the sum of differences from the average is zero. If 9 boys each have a GPA 0.56 units below the average, then twice as many girls will each have a GPA that is half as much above the average.

Answer:

The choice D. – i

Step-by-step explanation:

[tex]i \times i \times i = \sqrt{ - 1} \times \sqrt{ - 1} \times \sqrt{ - 1} \\ = - 1 \times \sqrt{ - 1} \\ = - i[/tex]

I hope I helped you^_^

Answer:  

amplitude=2

Step-by-step explanation:

The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x).  The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.

Using a system of equation, the Number of tickets sold at $27 is - 380615

Let :

a + b = 6000 - - - - (1)

27a + 40b = 5188000 - - - - - (2)

From (1) :

Put (3) in (2)

27a + 40(6000 - a) = 5188000

27a + 240000 - 40a = 5188000

-13a = 5188000 - 240000

-13a = 4948000

a = -380615

Kindly check the question as it might contain an error.

Learn more :https://brainly.com/question/15165519

Answer:

-13, 8

Step-by-step explanation:

(x-3)(x+8) = 80

use FOIL to eliminate parenthesis

x² +8x - 3x - 24 = 80

combine like terms

x² + 5x - 24 = 80

move the constant to the left

x² + 5x - 104 = 0

factor x and then factor -8

x(x+13) - 8(x+13) = 0    factor (x+13)

(x+13)(x-8) = 0

separate into possible cases

x + 13 = 0

x - 8 = 0

solve

x = -13

x = 8

have a lovely day <3

Answer:

Lol why are you right about this?

Step-by-step explanation:

Answer:

Agreed.

Step-by-step explanation:

I agree with you bro. Spend hours answering and researching a question, and all I get is a measly 5 points. COME ONE Y'ALL!!

Also, there are a few grammatical errors in your letter. I'm not sure if I should point that out or not, because I thought that part was in the question, so...

Also, are we even supposed to answer this question?????

(PLEASE MARK ME AS BRAINLIEST)

[tex] \frac{13}{16} x - \frac{3}{8} x = \frac{2}{5} + \frac{3}{10} \\ = > \frac{13x - 6x}{16} = \frac{4 + 3}{10} \\ = > \frac{7x}{16} = \frac{7}{10} \\ = > x = \frac{7}{10} \times \frac{16}{7} \\ = > x = \frac{16}{10} \\ = > x = \frac{8}{5} [/tex]

[tex]s = \frac{2x + t}{r} \\ = > rs = 2x + t \\ = > rs - t = 2x \\ x = \frac{rs - t}{2} [/tex]

Answer:

change in vertical / change in horizontal

4 / 18 = 2 / 9

Answer:

[tex](-4, -\frac{1}{2})[/tex]

Step-by-step explanation:

Hi there!

We are given the line segment, with the end points AB

The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).

We want to find the midpoint of the line segment AB

The midpoint formula is given as [tex](\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are coordinates

We have two coordinates, which is what we need, but let's label their values to avoid any confusion:

[tex]x_1=-5\\y_1=-4\\x_2=-3\\y_2=3[/tex]

Now substitute those values into the formula:

[tex](\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

[tex](\frac{-5+ -3}{2}, \frac{-4+ 3}{2})[/tex]

Now simplify the numerator and denominator

[tex](\frac{-8}{2}, \frac{-1}{2})[/tex]

Simplify again:

The midpoint is (-4, [tex]-\frac{1}{2}[/tex])

Hope this helps!

The 26.66 servings you can, make per 5 lb bag if  recipe for burritos requires 3 ounces of vegan cheese per serving.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

We have:

You buy vegan shredded cheese in 5 lb bags.

1 lb = 16 ounces

5 lb = 80 ounces

Recipe for burritos requires 3 ounces of vegan cheese per serving.

1 → 3

x → 80

x is the number of serving

x = 80/3 = 26.66

Thus, the 26.66 servings you can, make per 5 lb bag if  recipe for burritos requires 3 ounces of vegan cheese per serving.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ2

Answer:

27

Step-by-step explanation:

Hello There!

All we must do is plug in the numbers and solve:

8(0.25)-1=14=2-1+14=1+14=15

Hope it helps

Step-by-step explanation:

3y+8y=11y and -ax+4x=4ax

Answer:

a = 6

Step-by-step explanation:

Perpendicular lines have slope that are negative reciprocal of each other. There product = -1

Solve both equations for y.

3y - ax = 8                                 4x + 8y = 2

3y = ax + 8                                  8y = -4x + 2

y = ax/3 + 8/3                               y = -4x/8 + 2/8

 y = a/3(x) + 8/3                              y = -1/2(x) + 1/4

Now you know that the slope of  y = -1/2(x)+ 1/4  is -1/2

and the slope of y = a/3(x) + 8/3 is a/3.  

Looking for the value of "a" that will make the lines perpendicular.

You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal.   Also remember that the slope is the coefficient of the x term.

Now   a/3 = 2 ; a = 6  

Answer: 2

Step-by-step explanation 7 - 20 + 8 + 11 - 3 + 9 = 12 divided by 6 because there are 6 numbers equals 2

Answer:

Step-by-step explanation:

[tex]\lim_{8x \to \infty} 9_y=10[/tex]

Answer:

5x+2y

x=5

y=-2

then putting value of x and y in the equation

we get,

5*5+2*(-2)

=25-4

=21

Answer:

Step-by-step explanation: First you need way to subt or something that’s the first thing to figure out the if its 5+10=15 ofc 10-5=5 and 10/5=2

Answer:

60

Step-by-step explanation:

Each number is increasing by 13. Add 13 to 47 and you get 60.

The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.

So, the domain will be all real numbers, except for those that make g(x)=0.

g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.

Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.

Answer:

[tex]\textsf{Domain}: \quad \{ x \in \mathbb{R}\;|\;x \neq -1, -2, 2\}[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases} f(x)=x^2+6x+5\\g(x)=x^3+x^2-4x-4\end{cases}[/tex]

Factor function f(x):

[tex]\begin{aligned}\implies f(x)&= x^2+6x+5\\&=x^2+x+5x+5\\&=x(x+1)+5(x+1)\\&=(x+5)(x+1)\end{aligned}[/tex]

Factor function g(x):

[tex]\begin{aligned}\implies g(x)&=x^3+x^2-4x-4\\&=(x+1)(x^2-4)\\&=(x+1)(x+2)(x-2)\end{aligned}[/tex]

Therefore the composite function is:

[tex]\implies \dfrac{f(x)}{g(x)}=\dfrac{(x+5)(x+1)}{(x+1)(x+2)(x-2)}[/tex]

A rational function is undefined when the denominator equals zero.

Therefore, the given composite function is undefined when (x+1)(x+2)(x-2)=0:

The domain of a function is the set of all possible input values (x-values).

Therefore, as the composite function is undefined when x = -1, x = -2 and x = 2, the domain is:

Answer:x= 3

Step-by-step explanation:

bc ik it does not really sure

Answer: -x = 2.12 (approx.)

Step-by-step explanation:

x = -70/33 -- divide -70 by 33

x = -2.12

x/-1 = -2.12/-1 -- divide each side by -1

-x = 2.12

Step-by-step explanation:

[tex]\angle{1} = 77°[/tex] because they are vertical angles.

The 77°-angle is supplementary with [tex]\angle{2}[/tex] therefore

[tex]77° + \angle{2} = 180° \Rightarrow \angle{2} =180° -77° = 103°[/tex]

[tex]\angle{3}[/tex] and [tex]\angle{2}[/tex] are vertical angles so

[tex]\angle{3} = \angle{2} = 103°[/tex]

Answer:

103 = angle 3

103 = angle 2

angle 1 = 77

Step-by-step explanation:

angle 1 = 77

angle 2 = angle 3

360 - 77x2 = 206

206/2 = 103

Answer:

28

Step-by-step explanation:

42 sports 85 mystery 69 nature and 7 shelves add all up and divide by 7

Answer:

531.44100

Step-by-step explanation:

A cube volume is V = x^3

Here x = 8.10

8.10*8.10*8.10 = 531.44100

Answer:

see it it is right

Answer:

-2/9

Step-by-step explanation:

Answer:

01-56] = 56

Step-by-step explanation:

#CarryOnLearning

Answer:

c.) 70

# carry on learning

Answer:

sorry I don't no the answer

Answer:

solving a system of equations using graphing is not a useful solution technique because you are plotting on a 2D surface. For example, if you graph the system below, you get the following graph. ... While you can approximate the solution to this system, you cannot say exactly where the intersection point is since it does not fall on integer values on the number lines.

Answer:

okay ?

Step-by-step explanation:

you have to say the question

Answer:

Leah, Reba, Alexis, Kari