Stephanie is a wedding planner. She has assigned 4 workers for decorating tables with flower bouquets. There are 18 tables at the wedding. If Stephanie increases the number of workers to 8, the tables will be decorated twice as quickly.
Which statement best describes the number of tables in this situation?
A. The number of tables is an independent variable.
B. The number of tables is a dependent variable.
C.The number of tables is neither an independent nor a dependent variable.
D. The number of tables is both an independent and a dependent variable.
Thank you for helping me (:​

Answer:

1. domain (-3,5] range (3,4]

2. domain [-2,4] range [5,4]

3. domain (1,4) range (-1,-4)

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Step-by-step explanation:

1).domain [-3,5)

range( -4,3]

2)domain[-2,4)

range:[-2,5)

3) domain[1,4]

range [-4,-1]

Answer:

Colin will have to wait for 2 hours for the pond to completely empty

Step-by-step explanation:

Volume of a Prism

The volume of a prism of base area Ab and height H is computed with the formula:

V=Ab.H

We are given a pond in the shape of a prism with a trapezoidal base (front view).

The area of a trapezoid of bases b1 and b2, and height a, is given by:

[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]

The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:

[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]

[tex]A_b=2\ m^2[/tex]

The height of the prism is H=1m, thus the volume of the pond is:

[tex]V=2\ m^2*1\ m[/tex]

[tex]V=2\ m^3[/tex]

It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:

[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]

The pond still has this volume of water:

[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]

The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in

[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]

Thus, Colin will have to wait for 2 hours for the pond to completely empty

Answer:

y = x + 2

Step-by-step explanation:

slope = Δy / Δx = (1-2) / (-1 - 0) = 1

pass (0,2): y intercept = 2    b=2

y = mx + b

equation: y = x + 2

Answer:

The answer is Parkinson's Disease

Step-by-step explanation:

It is correct on Odyssey Ware

Answer:

$207.20

I hope this can help in any way!

Answer and Step-by-step explanation:

Let us assume two boys are jogging.

Boy 1 jogging speed is 10 kilometres per hour

Boy 2 jogging speed is 20 kilometres per hour

This can be represented in terms of distance, d and time, t. When we do this, we have:

d = 10t boy 1

d = 20t boy 2

This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.

From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.

Answer:

[tex]H=210.25\ \text{units}[/tex]

Step-by-step explanation:

Given that,

[tex]H = -16t^2 + 84t + 100[/tex] ...(1)

We need to find the maximum height

For maximum height, put dH/dt = 0

[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]

Put t = 2.625 in equation (1)

[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]

Hence, the maximum height [tex]=210.25\ \text{units}[/tex]

Answer:

$16.62 each

Step-by-step explanation:

First, find 20% of the bill to figure out how much the tip is worth:

20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08

Now that we know the tip is $11.08, next add it on to the bill:

$11.08 + $55.40 = $66.48

Now divide this by 4 to split the bill evenly between the 4 friends:

$66.48 / 4 = $16.62

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

5(x - 2) - 6 = 24

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 24 does indeed equal 24.

∴ x = 8 is the solution to the equation.

Answer:

Step-by-step explanation:

Incomplete presentation of question.  Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)?  Or something else?  Also:  please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

Answer:

The first one

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1). One solution

(2). Infinitely Many Solutions

(3). One solution

(4). No Solution

Answer:

1. 1 solution, 2. Infinite solutions, 3. 1 solution, 4. No solution

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  1, 2

  (b)  4

Step-by-step explanation:

(a)  9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices

__

(b)  10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only

Answer:

3

Step-by-step explanation:

5 is greater than 2 and two is negative so the answer is positive

Answer:

D. x-5 / x+4

Step-by-step explanation:

(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)

=-3x (x²-3x-10) / -3x(x²+6x+8)

=-3x(x+2)(x-5) / -3x(x+2)(x+4)

=x-5 / x+4

Answer:

oooooooof

Step-by-step explanation:

Answer:

261.06 (Approx)

Step-by-step explanation:

Given:

Two number = 0.678,9.01/0.0234

Find:

Multiply

Computation:

⇒ 0.678,9.01/0.0234

⇒ 0.678 x [9.01/0.0234]

⇒ 6.10878 / 0.0234

⇒ 261.058874

261.06 (Approx)

Answer:

x,y=-19,55

Step-by-step explanation:

plug in y.

5x+2(-3x-2)=15

5x-6x-4=15

-x=19

x=-19.

Plug in.

y=-3(-19)-2

y=55

correct is B.

Hope this helps :D

Answer:

the 2

second one

Step-by-step explanation:

Answer:

DFA BFC

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

This is the answer because:

1) Since there are 24 cups in one bag and she uses 3 cups per cake, all we have to do is divide:

24 ÷ 3 = 8

Therefore, the answer is 8.

Hope this helps! :D

Answer:

You can turn the leftovers into a decimal. the answer you would get would be 1.2.

Step-by-step explanation:

Hope this helps and have a nice day!

Answer:

Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

1 3/15

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:

1 1/5

Which would also equal to 1.2000.

Hope this kinda helped and made some sense.

            (☞ﾟヮﾟ)☞BRAINIEST☜(ﾟヮﾟ☜)            

Step-by-step explanation:

Answer:

You have to graph it

Step-by-step explanation:

Step-by-step explanation:

take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..

[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]

this is for the first equation..so the coordinated are...

(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)

use the same methord to find the others

Answer:

1/2x + 5

Step-by-step explanation:

The y intercept is 5 & the slope is already given!

Answer:

D or the last one

Step-by-step explanation:

Answer: its the last one

Step-by-step explanation:

its the last one

i hope i helped

if i did pls mark BRAINLIEST!!

k

Answer:

X = - 2

Hope it's help you.... ^_^

Answer:

Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

Given the distance-time graph

It is clear from the distance-time graph that:

so the two points on the distance-time graph is:

Finding the slope between the points to determine the speed.

Please note that the slope between the points represents the speed or rate of change.

Speed = Rate of change = y₂-y₁ / x₂-x₁

                                         = 100 - 50 / 2-1

                                          = 50 / 1

                                           = 50 miles per hour

Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Option B is not an equation since it doesn't have the "=" sign. [It's an expression]

Hope it helps!